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Juan Carlos Vásquez Quintero
                  Advisor: Josep María Guerrero Zapata
                            Ph.D. Thesis Dissertation
                                     2009




Ph.D. on Automatics, Robotics and Vision
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions and publications
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 2
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 3
Distributed Generation (DG) Paradigm and Smart grids
           Nowadays problem:
            Energy crisis & climate change.
            Kyoto’s protocol: reduction of CO2 emission.

           Raise of renewable energy:
              Photovoltaic.
              Wind.
              Hydrogen.
              Micro-turbines.

           Small energy storage systems:
              Uninterruptible Power Sources (UPSs).
              Flywheels.
              Super capacitors.
              Compressed air devices.
              Mini-hydraulics.




Ph.D. Thesis dissertation                                         Page 4
So, what is a Microgrid?
                                                                    Small energy storage
                                   Renewable energy sources
                                                                                systems
                                                  PV Wind turbine
                       Grid                   panel system                  UPS




                                 PCC
                                                                Inverters

                                                                            Common
                                                              ... .          AC bus
                                Intelligent
                                  Bypass
              Power Distribution Switch
                  Network          (IBS)        Distributed loads




Ph.D. Thesis dissertation                                                      Page 5
Microgrids are required in the next electrical grid




                 mgrids…
                 Avoid transmission power losses
                 Improve the system efficiency
                 Increase the reliability




Ph.D. Thesis dissertation                                          Page 8
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 9
Control of single DG units according to Microgrid requirements:

              Modeling of the DG unit
              Use appropriate control variables to control P and Q
              Derive decentralized controllers (droops)
              Propose control strategies for grid connected and islanded
               operation
              Grid-connected mode:
                   Accuracy of the P and Q injected
                   Voltage sags and harmonics ride through
                   Large grid impedance variation
              Islanded mode:
                   Voltage stability
                   Harmonic current sharing
                   Hot-swap operation

Ph.D. Thesis dissertation                                                    Page 10
Hierarchical control of microgrids

              Primary control – Inside the DG units
                   Droop functions – Virtual inertias
                   Harmonic current sharing
                   Hot-swap operation
              Secondary control – Inside the microgrid
                   Frequency and amplitude restoration
                   Synchronization loops
              Tertiary control – Outside the microgrid
                   P and Q power flow at the PCC




Ph.D. Thesis dissertation                                 Page 11
(IET department, AAU,
                                   Denmark)




Ph.D. Thesis dissertation                      Page 12
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 13
The circulating current concept



                                              i1   Critical AC
                            DC link
                                                           bus


                                          io  i1  i2      Distributed
                                                             critical
                                              i2              loads
                            DC link




Ph.D. Thesis dissertation                                                 Page 14
The circulating current concept

                  E 1f1    Z o1
                                         rL1      L1                   L2       rL2        Z o2 E 2f2
                                                          V 0o
                                   i1                                                 i2
                                                                ZL
                 DG 1                                                                           DG #2
                                   S 1=P 1+jQ 1                             S 2=P 2+jQ 2

              Circulating power analysis              S L = P L +jQ

                      S    S1  S2            consequently…            P      P  P2
                                                                                 1           Q   Q1  Q2

               Assuming               L1  (Zo1  Z L1 ),        L2  (Zo 2  Z L 2 )


               And total output impedance is manly inductive

                                                   X T  ( L1  L2 )


Ph.D. Thesis dissertation                                                                            Page 15
 P/Q expressions


                    being                     E1 E2         EE
                                       P          sin f  1 2 f
                                               XT            XT         sin f  f
                   E  E1  E2
                                       Q 
                                              V
                                                 E                     cos f 1
                   f  f1  f2               XT


              Circulating currents:


                                                E1 E2              E
                                       i p          f   iQ 
                                                VX T               XT


                 Assuming inductive output impedance, the active and reactive powers
                     or currents can be controlled by adjusting the phase and the
                                   amplitude of the output voltage.


Ph.D. Thesis dissertation                                                           Page 16
Conventional droop method
                     
                    o1                                                            Frequency droop
           o      o2                                                              
                                    m                                        *
                                               P                                         *  mP
                ’              m’                                           
           ’                                              Emax = 5%
                                              P’
                                                           max=2%
                                                           P                                   Pmax P
                                          P1 P’1 P’2 P2
                  Output                Z=jX                 Z=R(q=0o)
                Impedance         (inductiveq=90o)                                 Amplitude droop
           Active                P
                                      EV
                                         sin f 
                                                 EV
                                                    f        EV cos f  V 2         E
                                                          P                   E*
           power                       X          X               R                     E  E *  nQ
           Reactive            EV cos f  V 2 V            EV
                            Q                (E V ) Q     sin f           E
           power                    X         X             R
           Frequency droop          *  mP               *  mQ
           Amplitude droop            E  E*  nQ          E  E*  nP                         Qmax Q
Ph.D. Thesis dissertation                                                                    Page 17
Controller:                  *  mP
                                      E  E *  nQ


            System Dynamics:            ˆ       ˆ     ˆ     ˆ
                                    s 3f  As 2f  Bsf  Cf  0
                                          c
                                    A   2 X  nV cos  
                                          X
                                          
                                    B  c c X  ncV cos   mVE cos  
                                          X
                                          c  1                       
                                    C            mVE  X cos   nV  
                                          X X
                                                                      

           Depends on m, n, X, c           System transient can not be modified



Ph.D. Thesis dissertation                                                   Page 18
Conventional droop method: Static restrictions


                 1) Static trade-off: F/V regulation and P/Q power sharing.
                 2) Limited       transient        response.   System   dynamic    is
                      determined by m, n and strongly determined by X.
                 3) Unbalancing on line impedance when P/Q is shared.
                 4) Synchronization problems in relation with             the utility
                      main (F and f deviation).
                 5) Line impedance dependence (islanded mode).


                Static trade-off: F/V regulation



Ph.D. Thesis dissertation                                                         Page 19
Proposed strategy: Adaptive droop method
                                Q*                Droop functions
          ipcc                       Q                        Qc            
                             LPF                                     Gq (s) 
                                                    P/Q                      E*

                     90º                       Decoupling                                  *
          v pcc                            P* Transformation                        E

          ipcc                LPF
                                     P                       Pc    G p ( s) f                      Vref *
                                                                                  E sin(t  f )
                 Power Calculation
                                               Zg        qg           Impedance estimation
                                                                                 algorithm

                    f  Gp (s)Z g (P  P*)sinq g  Q  Q*  cosq g 
                                   
                                                                     
                                                                           G p ( s) 
                                                                                       mi  mp s  md s 2
                                                                                               s
                 E  E*  Gq (s)Z g (P  P*)cosq g  Q  Q*  sinq g                n n s
                                    
                                                                      
                                                                           Gq (s)  i p
                                                                                          s



Ph.D. Thesis dissertation                                                                          Page 20
Power flow modeling
               EVg cos f  Vg 2               EVg                                           VSI                      Vpcc    Grid
            P                   cosq g          sin f sinq g                                             E
                    Zg                        Zg
                                
               EVg cos f  Vg 2               EVg                                                              i pcc
            Q                   sinq g          sin f cosq g                   Ef              Zo                            Zg     Vg 0º
                    Zg                        Zg
                                

              P/Q Decoupling transformation

           Pc  Z g  (P sinq g  Q cosq g )                                       2000

           Qc  Z g  (P cosq g  Q sinq g )                                                                                  Active Power
                                                                                                                              Reactive Power
                                                                                   1500




                                                                   P[W] & Q[VAr]
                                                                                   1000

            Pc  EVg sinf
            Qc  EVg cosf Vg 2  Vg  E Vg 
                                                                                   500



           Pc is mainly dependent on the phase f, and                                 0

           Qc depends on the voltage difference                                           2              4         6          8         10
           between the VSI and the grid (E – Vg).                                                                Time[s]


Ph.D. Thesis dissertation                                                                                                              Page 21
System dynamics                                                                  
                                                 1
                                                           P* sin q g  Q* cosq g            
                                            tan                                            
                                                    
                                                    
                                                                              
                                                     P* cosq g  Q* sin q g  Vg 2 Z
                                                                                      g      
                                                                                              
                                                                                              

                                                        Vg 2 cosq g  P*Z g
                                          E
                                                Vg  cosq g cos   sin q g sin  

           Characteristic equation
                                           a4 s 4  a3 s3  a2 s 2  a1s  a0  0

            a4  T 2  2Tmd Vg Ecos
            a3  4T  4md n pVg 2 E  2Vg cos  2md E  Tn p  Tm p E 
            a2  2Vg cos Tmi E  Tni  2n p  2m p   4Vg 2 E  m p n p  md ni   4
            a1  4Vcos  ni  mi E   4V 2 E  mi n p  m p ni 
            a0  4ni mi EV 2

Ph.D. Thesis dissertation                                                                         Page 22
Validating the obtained model
                                                  -3
                                              x 10
                                         10



                                         8



                                         6
                            Phase [rd]




                                         4



                                         2

                                                                                          Model
                                                                                          Real
                                         0



                                         -2
                                              0        0.2   0.4              0.6   0.8           1
                                                                   Time [s]


                                         System and model dynamic response


Ph.D. Thesis dissertation                                                                             Page 23
Root Locus
           System stability                                            30


                                                                        20

                                                                                                                                       3
                                                                        10




                                                      Imaginary Axis
                                                 b)                            1                                                             2
                                                                          0


                                                                       -10
                                                                                                                                    4

                                                                       -20


                                                                       -30
                                                                         -100              -80          -60       -40             -20                   0
                                                                                                          Real Axis

                                                                                                         Root Locus
                                                                         1

                                                                       0.8

                                a)                                     0.6

                                                                       0.4

             Figure             Parameter



                                                      Imaginary Axis
                                                                       0.2                                                                         4
                                                                                                                      1
                                                                                                                                  2      3
                                                                         0

                a)          0.00005<mp <0.0001   c)                    -0.2

                                                                       -0.4


                b)            1e-6<md <4e-5                            -0.6

                                                                       -0.8


                c)            0.0004<np <0.01                           -1
                                                                        -350        -300         -250   -200    -150       -100         -50             0
                                                                                                          Real Axis




Ph.D. Thesis dissertation                                                                                                     Page 24
 Line impedance sensitivity

                1600                                     1600

                1400                                     1400

                1200                                     1200

                1000                                     1000

                 800                                     800

                 600                                     600

                 400                                     400

                 200                           R=1       200                           R=1
                                               R=2                                     R=2
                  0                                        0
                                               R=3                                     R=3
                -200                                     -200
                       0    0.5    1     1.5         2          0   0.5    1     1.5          2


                                  (a)                                     (b)
               Start up of P for different line impedances, (a) with and (b) without the
               estimation algorithm of Zg.


Ph.D. Thesis dissertation                                                                    Page 25
VSI          Local Bypass Z
                          L load           g
                                                           Vg             Block diagram scheme of the
                           C                                                   proposed method
                                       v pcc             Grid
                                               Voltage and                   Grid parameters Ident.
                                                                  d q
                                                 current                     Algorithm (Estimated
                     Driver and                Monitoring        Transf             Values)
                                       ipcc      SOGI-FLL                   g     Vg      Zg       qg
                       PWM
                     generator
                                                                                                                               *
                                                                                                                       
                                                         Sine            * E*                                             P
                                                                       f           PC    P/Q
                                                                                                                       
                                                                                                                           P
                  Current         Voltage     Vref   generator           Droop
                                                                                   QC Decoupling
                                                                                                                       
                   Loop            Loop              E sin(  t  f ) E                                                   Q
                                                                         control        Transf                    *    
                                                                                                              Q
                Inner loops

                                            PWM inverter L =713m H                     Local    Bypass        Transformer
                                                                                       load                      5kVA
                                VDC
                               400V                               C  2.2m F      Z                                                Grid
                                       


                                                                L =713m H                                              10mH
             Hardware                                                               ic          E        Vg           ig
               Setup                           dSPACE


Ph.D. Thesis dissertation                                                                                                          Page 26
Power Calculation                     Zg qg
                                                                             QC
                i pcc                         Q                                                          
                                      LPF
                                                                                    Gq ( s)
                                                                                                         
                                               Q 0
                                                  *
                                                                                                  E   *
                                                                                                           ES
                             90º                                                    GS
               v pcc                                             P/Q              (Freezing)                          E
                                                              Decoupling
                                                                                                  f
                                                                                                                                 *
                                                                             PC
                                                                                                                               Vref
                i pcc                 LPF
                                               P                                 G p ( s)
                                                                                              
                                                                                                         E sin(  t  f )

                                                         P*                                   fS
                                                                            
                                LPF         PI (s)        fS       VG ( rms )          LPF               PI (s)     ES
                        VG              GS                                 VC ( rms )                      GS
                        Phase Synchronization                       Amplitude Restoration


                         Block diagram of the whole proposed controller using the
                        synchronization control loops



Ph.D. Thesis dissertation                                                                                                             Page 27
Synchroniz. Process
                                                           (grid and VSI voltages)




                                                            Synchroniz. Error
                                                                 signal


                 Island     Grid connected mode   Island

                                                           P/Q load step during
                                                              grid transitions




Ph.D. Thesis dissertation                                                     Page 28
Ph.D. Thesis dissertation   Page 29
Active power transient
                               response for Q*=0
                                (P: Blue, Q:black)




                             Active power transient
                               during a P* step.




                             Reactive power transient
                            during a Q* step (absorbing)


Ph.D. Thesis dissertation                       Page 30
Conclusions
             A novel control for VSIs with the capability of flexibly operating grid-
            connected and islanded mode based on adaptive droop control strategy was
            proposed.

             Active and reactive power can be decoupled from the grid impedance in
            order to injected the desired power to the grid.

                Enhancement of the classic droop control method.

             A novel control for injecting the desired active and reactive power
            independently into the grid for large range of impedance grid values was
            presented. This control is based on a parameters estimation provided by an
            identification algorithm.




Ph.D. Thesis dissertation                                                       Page 31
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 32
Shunt DG inverter                       Control objectives:
                                                    i. Enhances the stability and the dynamic
                        QG                               response by damping the system.
                                                    ii. Provides all the active power given by the PV
             V 0º                                       source, and extracted in the previous stage
                                                         by the maximum power point tracker (MPPT).
                        LG                         iii. Supports the reactive power required by the
                                                         grid when voltage sag is presented
                                          RL             into the grid.
                                   E

                                                                                       IC
                                                                                                  E
                                                                                         f
                                                                             IG                Vg 0º
                                                   IC  IG  I L
                                                                                     I Gd I C '
                                                   IG '  IGd  jIGq                       I Gq
                                                                            IL '                  E
                                                          Ef  V 0º                   IC
                                                   IG                                    f
                                                              jX              I Gq            Vg ' 0º
           Equivalent circuit of the power stage
Ph.D. Thesis dissertation                                                                         Page 33
It can be observed that during a
                                                            Q – E relationship
            voltage sag, the amount of reactive                       E
            current needed to maintain the load
            voltage at the desired value is
                                                      V E             E V
            inversely proportional to the grid                                V E
            impedance.
                                                                                   Q
                                                            Q0              Q0

              Inductance value

              Maximum P delivered by the VSI (f=90o)
                                  Large inductance will help in mitigating
                        EV
                     X           voltage sags.
                        Pmax


Ph.D. Thesis dissertation                                                          Page 34
System modeling and Control design
                               f  Gp (s)  PC  PC*  sin q   QG  QG  cosq 
                                           
                                                                         *
                                                                                  
                            E  E*  Gq (s)  PC  PC  cos q  QG  QG  sin q 
                                            
                                                     *                  *
                                                                                  

                              s5  a4 s 4  a3 s3  a2 s 2  a1s  a0  0
            a4  4o Z
            a3  V o cos  (n p  Em p )  2o (1  2 2 ) Z
                    2                         2


            a2  2V o  cos  n p  Em p   o VE cos mi  4o Z
                     2                          2                 3


                                                                   V
            a1  V o cos  (n p  Em p )  VEo (2 cosmi 
                    4                          3
                                                                     o n p m p )  o4 Z
                                                                   Z
                                V                                                               mi  m p s
            a0  VEo mi (cos  n p )
                       4
                                                                                   G p ( s) 
                                Z                                                                   s
                                                                                   Gq (s)  n p

                                                                      E *a (1  a )  Qmax X
                V = a*E* (being a as the voltage sag percentage)
                                                                 np 
                                                                            Qmax E *a

Ph.D. Thesis dissertation                                                                                    Page 35
System stability
               a)                                   b)




                                               c)


                 Figure        Parameter
                    a)      20e-6<mp <1e-3
                    b)       2e-6<mi <1.8m
                    c)      8.5mH<LG <5000mH


Ph.D. Thesis dissertation                           Page 36
Control diagram
                                                                                                  PL , QL
                  PG , QG    LG
                                                                                                      P , QC              IL
            Vg 0º           IG                                                                        C




                                                                                                                          Load
                                                           VC                       IC
                                                                                      
                                             Inner                  Repetitive                 PI
                                              loop                  Control       I ref      control

                                  VC                        Vref                                      VC
                                              QG                      PC
                                                                                      P
                       IG        Q                    Droop                                                               Outer P/Q
                                                      Control          P   *     calculation                   IC
                            calculation      Q*  0                  ( MPPT )                                             control loop
                                                                                   Q'
                       IG                       QG                                                   
                                                                                    Gq ( s)
                                       LPF                                                           
                             90º                  QG  0
                                                      *
                                                                                                          V*
                      VC                                              P/Q                                           V
                                                                   Decoupling                                                     *
                                                                                                                                Vref Vref
                                                   PC 
                                                                                    P'                   f
                       IC              LPF                                             G p ( s)
                                                                                                               V sin(t  f )      
                                                                                                 
                            Power                         PC *                                        f*
                                                                                                                          LPF
                            Calculation
Ph.D. Thesis dissertation                                                                                                              Page 37
Set-up and simulation results
            P/Q transient responses by the PV
            inverter in presence of a voltage sag of
            0.15 p.u when Pc*=500W




                                                       Current waveforms in case of a voltage
                                                       sag of 0.15 p.u (inverter current ic , grid
                                                       current Ig and load current Iload)

Ph.D. Thesis dissertation                                                                Page 38
Simulation results
                Grid voltage waveform in presence
                of 1st, 3rd, 5th 7th and 9th voltage
                                         harmonics.




                                                       P/Q transient responses and step
                                                       changes provided by the PV inverter

Ph.D. Thesis dissertation                                                            Page 39
Simulation results
                                                        (detail) Inverter output voltage,
                                                        active and reactive power transient
                                                        responses under a nonlinear load




               (detail) Current waveforms in case of
               a nonlinear load. Vg (upper), Inverter
               current (middle), grid current

Ph.D. Thesis dissertation                                                              Page 40
Laboratory set-up




                       (Electrical Engineering department, Polytechnic of Bari, Italy)



Ph.D. Thesis dissertation                                                                Page 41
Experimental results




                                                            Waveform of the grid voltage and the
                                                            grid current during the sag.

           Case of a voltage sag of 0.15 p.u (voltage
           controlled with droop control) grid voltage,
           load voltage and grid current.


          Voltage waveform during the sag. Grid voltage
             and current (upper). Grid voltage, capacitor
                       voltage and load voltage (lower)

Ph.D. Thesis dissertation                                                              Page 42
Conclusions

           A detailed analysis has shown that the novel adaptive droop control strategy
          has superior behavior in comparison with the existing droop control methods,
          ensuring efficient control of frequency and voltage even in presence of voltage sags

           The converter provides fast dynamic response and active power to local loads
          by injecting reactive power into the grid providing voltage support at fundamental
          frequency.

          Using the basis of the droop characteristic, a new control strategy was proposed,
          providing all the desired active power given by the PV source.

          The validity of the proposed control showed ride-through capability to the system,
          even if a voltage sag is presented in the grid.




PhD Thesis dissertation                                                              Page 43
I.   Motivation: Introduction to Microgrids
            II.  Thesis objectives
            III. Decentralized control: P/Q droop method
            IV.  Droop control method applied to voltage sag mitigation
            V.   Operation modes of a microgrid
                  Grid-connected operation mode
                   Islanded operation mode
                  Transitions between grid connected and islanded modes
            VI. Hierarchical control of microgrids
                   Primary control:
                           - P/Q droop. Modeling and control
                           - Virtual Impedance: hot swap operation (smooth connection)
                   Secondary control:
                           - f/V Restoration (island) and Synchronization (island to grid
                           connected mode)
                  Tertiary control:
                           - P/Q flow control at the PCC
            VII. Conclusions
            VIII. Future work


Ph.D. Thesis dissertation                                                            Page 44
PV Wind turbine
                                                   panel system                        UPS




                                    PCC
                                                                           Inverters

                                                                                         Common
                                                                                          AC bus
                                                                       . . .
                                     Static
                                 Transfer switch       Distributed loads               Micro-grid
                                     (IBS)
               Typical structure of inverter microgrid based on renewable energy resources

                                                                 Synchronization
               Islanded mode     Grid -connected
                  Operation           mode                          restoration
                        Grid failure                      Islanded mode          Grid -connected
                     IBS disconnection                       Operation                mode


Ph.D. Thesis dissertation                                                                 Page 45
Primary control: droop Control (P/Q Sharing,
          softstart).
          Secondary Control: Synchronization and               Tertiary
          Restoration (Set-points assignation to the DGs ).     Control
          Tertiary Control : Power Import/export
           from/to the grid.                               Secondary Control

                                                        Primary Control

                                                  Bypass off
                                                                  E= V*
                            P= P* ; Q=Q*
                            Import/export
                                                                  *
                                P/Q
                                        Grid              Islanding
                                      Connected           Operation

                                                                   E= Vg
                                            Bypass on              g

Ph.D. Thesis dissertation                                                      Page 46
Primary control: Droop Control (P/Q Sharing, softstart).
            The inverters are programmed to act as generators by including virtual inertias
            through the droop method.
            Grid-connected mode: Microgrid is connected to the grid through an IBS. In this
            case, all DG units must be programmed with the same droop function



            Normally, P∗ should coincide with the nominal active power of each inverter, and
            Q∗ = 0.

            Two possibilities:
            1) Importing energy from the grid: the IBS must adjust P∗ by using low
               bandwidth communications to absorb the nominal power from the grid in
               the PCC.
            2) Exporting energy to the gr. the IBS may enforce to inject the rest of the
               power to the grid. Moreover, it must adjust the power references.id



Ph.D. Thesis dissertation                                                            Page 47
Primary control: Droop Control (P/Q Sharing, softstart).


            This is done with small increments and decrements of P∗ as a function of the
            measured grid power, by using a slow PI controller:

                                   P*  k p ( Pg *  Pg )  ki  ( Pg *  Pg )dt  Pi*

            where Pg and Pg∗ are the measured and the reference active powers of the grid,
            respectively, and Pi∗ is the nominal power of the inverter i.

            Similarly, reactive-power control law can be defined as

                                  Q*  k ' p (Qg *  Qg )  k 'i  ( Pg *  Pg )dt  Qi*

             where Qg and Qg∗ are the measured and the reference reactive powers of the
             grid, respectively, and Q i ∗ is the nominal reactive power.




Ph.D. Thesis dissertation                                                                  Page 48
Primary control: Droop Control (P/Q Sharing, softstart).


            Islanded mode : When the grid is not present, the IBS disconnects the microgrid
            from the main grid, starting the autonomous operation:

              Droop method is enough to guarantee proper power sharing between the
             DG units.
              Energetic storage: Power sharing should take into account the batteries
             charging level of each module.

                
                                                                        Level of charge of the batteries
                                                                                       mmin
                *                                                                m
                                                                                         a
             sist                                                       a 1
                              Batteries          Batteries                          Fully charge
                                                                        a  0.01 Empty
                            30% charged        fully charged

                                                               P
                     30% Pmax               Pmax                   Droop characteristic as a function
                                                                   of the batteries charge level.

Ph.D. Thesis dissertation                                                                      Page 49
Primary control analysis :

                          P    c V  cos   E sin   e 
                                                      
                          Q  s  c X  sin  E cos   f 
                                                   c V
                             e  (n  nd s )             cos   e  E sin   f 
                                                 s  c Rd
                                    m      V  c
                             f     md                sin   e  E sin   f 
                                    s      Rd ( s  c )
                                         s3  As 2  Bs  C  0
                 c                                                    V 
           A       2 RD  nV cos   nd cV cos   mdVE  cos   nd c  
               X                                                      X 
              c                                     V                   V 
           B  c  ncV cos   mVE cos   nd c  md cVE  cos   n  
              X                                      X                   X 
               c             V
            C  mVE  cos   n 
               X              X

Ph.D. Thesis dissertation                                                                 Page 50
Primary control: Droop Control (P/Q Sharing, softstart).

              Stability for all battery charge conditions




                      Root locus plot in function of the batteries charge level
                      (arrows indicate decreasing value from 1 to 0.01).



Ph.D. Thesis dissertation                                                         Page 51
Power scheme of the primary control
                               Virtual output impedance concept

                         Zo                                                   Vref  vo  io Zo (s)
                                                                                      *




                                                                    t                                      Inner loops
                                                                                   Vref                                                v
                                                                                               Voltage      Current         PWM +UPS

                       0.1
                                                                                               loop         loop            Inverter
                                                                                                                                        io
          Zo (H)




                   0.05
                                                                                                   ZO(s)
                        0
                        0.6
                       10
                                 0.8   1   1.2          1.4   1.6       1.8   2
                                                                                            Virtual output impedance loop
                                                                                                                 P
             Io1 (A)




                        0



                       -10                                                                 Voltage               P*
                       10
                         0.6     0.8   1   1.2          1.4   1.6       1.8   2
                                                                                        *
                                                                                      Vo Reference                          P/Q
                                                                                                                  Q*     Calculation
                                                                                          E sin (t) E
             Io2 (A)




                        0

                                                                                                                 Q
                       -10
                         0.6     0.8   1   1.2          1.4   1.6       1.8   2       P/Q control outer loops
                                             time (s)




Ph.D. Thesis dissertation                                                                                                         Page 52
Secondary control: Restoration and synchronization

           In order to restore the microgrid voltage to nominal values, the supervisor sends
           proper signals by using low bandwidth communications. This control also can be
           used to synchronize the microgrid with the main grid before they have to be
           interconnected, facilitating the transition from islanded to grid-connected mode.

           Grid
                                  Freq. measurement


                                PLL
                            _
                                        PI            Primary
                      *
                                      control         control            Dg units
                            +
           Supervisory control

                                                      Primary
                                                      control            Dg units


Ph.D. Thesis dissertation                                                             Page 53
Secondary control analysis :
                                              c V
                        e  (n  nd s )             cos   e  E sin   f 
                                            s  c Rd
                               m      V  c
                        f     md                sin   e  E sin   f 
                               s      Rd ( s  c )


                                            m  ( P*  Pi* ) EV c
                                       Pi 
                                                  X ( s  c )



                        Pi               (ki  k p s)mEV c / N
                              2
                        Pg *
                              Xs  c [ X  mEV (nk p  1)]s  NmEV c ki



Ph.D. Thesis dissertation                                                            Page 54
Stability analysis:
                                                      Root Locus
                              1

                            0.8

                            0.6

                            0.4

                            0.2
                                          4                                   5        Root-locus plot for
           Imaginary Axis




                              0                                                          a) 0.1 ≤ ki ≤ 0.8.
                            -0.2
                                                                                         b) 0.7 ≤ kp ≤ 0.8.
                            -0.4

                            -0.6

                            -0.8

                             -1                                                                                                       Root Locus
                              -80   -70   -60   -50      -40       -30   -20   -10   0
                                                                                                                25
                                                      Real Axis
                                                                                                                20
                                                      a)                                                        15

                                                                                                                10

                                                                                                                 5
                                                                                                                                             4


                                                                                               Imaginary Axis
                                                                                                                 0

                                                                                                                 -5

                                                                                                                -10
                                                                                                                                               5
                                                                                                                -15

                                                                                                                -20



                                                                                          b)                    -25
                                                                                                                  -70   -60   -50   -40           -30
                                                                                                                                          Real Axis
                                                                                                                                                        -20    -10   0




Ph.D. Thesis dissertation                                                                                                                                     Page 55
Power scheme of the secondary control

                                                                    Io
                                                 Current
                                            V*
                                       dV        control
                                                                    Driver and
               Frequency restoration
               Voltage restoration                loop
                       level                                          PWM          Inverter
                     level                       Voltage            Generator
                ref
               Secondary Gwr(s)
                         control                 control
                                                           Inner
                        o                        loop
                                                           loops   Vo
                 Vref        Gvr(s)
                                                            Primary control (droop method)
                        vo
              Voltage restoration                                   Io
                                                 Current
                     level                  V*
                                       dV        control
                                                                   Driver and
                   Low bandwidth                  loop
                                                                     PWM           Inverter
                   communications                Voltage
                                                                   Generator
               Secondary control                 control
                                                           Inner
                                                  loop
                                                           loops   Vo
                                                           Primary control (droop method)


Ph.D. Thesis dissertation                                                             Page 56
Tertiary Control : Power Import/export from/to the grid
             This energy production level controls the power flow between the
             microgrid and the grid.
            Power flow can be controlled by adjusting the frequency (changing the phase
            in steady state) and amplitude of the voltage inside the microgrid by measuring
            the P/Q through the static bypass switch. (Grid-connected mode).

                                                                 *  m(P  P*)
            PG and PG they can be compared with                 *  mP  mP*
                               *
                                                                       
                        *
           the desired PG and QG .

            The control laws can be expressed as
           following:                                                            *  
                                                                                      grid
           d v  k pQ  Q  QG   kiQ   Q  QG  dt
                        *
                        G
                                          *
                                          G


           d  k pP  P*  P   kiP   P*  P  dt
                        G    G             G    G



                                                           P0                    P0         P

Ph.D. Thesis dissertation                                                        Page 57
Power scheme of the tertiary control



                                                            Bypass
                                    Main AC grid


                             P,Q                                                    Microgrid
                                                      PLL      RMS
                                       P/Q
                                   calculation
                                                      df
                                             Q Emax                      _
                                             _
                                    Q*                  Vref ++
                                         +
                                                 Gq                          Gse   dv
                                              Emin          df                      Secondary
                               P _              max                                  control
                            P* +                        fref         +
                                                 Gp              +
                                                                             Gsw   d
                                              min
                              Tertiary control          Synchronization loop



Ph.D. Thesis dissertation                                                                 Page 58
Simulation results

                                Inverter_I
           500                   P*       Io1                                            Vload
                                                                                                                         P
                                 Q*      Vo1                                                       PQ MAIN
            P*
                                                                                                  calculation            Q
                                                                          ILoad
                                 P*       Io2                    Iload
                                                                                                                                pm_sense
                                 Q*      Vo2
            50                                                             1       RL
                                                                                                                                qm_sense
            Q*
                                Inverter_II                              RLoad


                                                                                   Switch
                                                                           IGrid
                                                                                                                                     Grid connected
                 Inverter I , Inverter II and                                                                                         Operation
                    Vgrid ouput voltage                                                                                             P grid
                                                                                                                                    Q grid               P*

                                                                                                                                    grid status
                                                                                                  Validation
                                                            vgrid                                                   2000            P Nominal Inv        Q*
                                                                                                  (Sg)
                               Vgrid                                           Vg                               P Nominal Inv       P* grid
                         V.sin (Wt)                                            L2 Iogrid                                            Pid_Pout
                                                       [Vload]                 VL                                                                   Pid_Pin
                                                                                                                    1000
                               phi_g                                                                                                Q* grid
                                          Terminator                             R+L
                                                                                                                   P*grid
                                                       1000e-6                   model
                            Vgrid
                                                                                         Grid                        0                        PID
                                                       1000e-6                           Status
                                                       default                                                     Q*grid                  I_Pgrid




Ph.D. Thesis dissertation                                                                                                                           Page 59
Simulation results

                 4000


                 3000
                                                                               UPS # 2
                 2000                                                          disconnected
          P(W)




                                                                                                   P1
                 1000
                                                                                                   P2
                                                                                                   Pg
                  0
                                      Grid connected                          Islanded
                 -1000
                         0        1        2           3   4          5   6        7          8         9
                                                               t(s)


                 4000        Active power transients between grid connected and islanded
                                                 modes for 2 DG units
                 3000


                 2000
PhD Thesis dissertation
          (W)




                                                                                                  Page 60
Simulation results




Ph.D. Thesis dissertation        Page 61
Experimental results

             Hot-swap capability




                     Currents of the UPS#1, UPS#2, UPS#3 and UPS#4 in a) Soft-start
                                operation, and b) Disconnection scenario




Ph.D. Thesis dissertation                                                             Page 62
Experimental results



              Output current 1



              Circulating current




              Output current 2



                                    X: 100ms/div, Y: 20 A/div



Ph.D. Thesis dissertation                                       Page 63
Experimental results

            Non-linear loads




                    Waveforms of output voltage and load current sharing a nonlinear
                    load. (X-axis: 5 ms, Y -axis: 20 A/div).



Ph.D. Thesis dissertation                                                          Page 64
From the analysis, system stability and power management control starting
           from a single voltage source inverter to a number of interconnected DG
           units forming flexible Microgrids:

           A dynamic model design and a small signal analysis.
           Control-oriented modeling based on active and reactive power analysis.
           A control strategy in order to inject both the desired active and the
           reactive power independently into the grid for large range of impedance
           grid values.
            Control synthesis based on enhanced droop control technique capable of
           decouple active and reactive power flows.
           Voltage ride-through capability, by controlling the injection of reactive
           power to solve grid voltage sags.




Ph.D. Thesis dissertation                                                   Page 65
 Droop-controlled microgrids can be used in islanded mode.
           Improvements to the conventional droop method are required for
            integrate inverter-based energy resources:
                 Improvement of the transient response
                 Virtual impedance: harmonic power sharing and hot-swapping
                 Adaptive droop control laws
           The hierarchical control is required for a AC microgrid:
                 Primary control is based on the droop method allowing the
                    connection      of    different    AC    sources without     any
                    intercommunication.
                 Secondary control avoids the voltage and frequency deviation
                    produced by the primary control. Only low bandwidth
                    communications are needed to perform this control level. A
                    synchronization loop can be add in this level to transfer from
                    islanding to grid connected modes.
                 Tertiary control allows to import/export active and reactive power
                    to the grid.

Ph.D. Thesis dissertation                                                   Page 66
Journal Publications
           Control Strategy for Flexible Microgrid Based on Parallel Line-Interactive UPS
           Systems. Guerrero, J.M.; Vasquez, J.C.; Matas, J.; Castilla, M.; de Vicuna, L.G.
           Industrial Electronics, IEEE Transactions on, Volume 56, Issue 3, March 2009
           Page(s):726 – 736.

           Voltage Support Provided by a Droop-Controlled Multifunctional Inverter
           Vasquez, J.C.; Mastromauro, R.A.; Guerrero, J.M.; Liserre, M. Industrial electronics,
           IEEE Transactions on , Volume 56, Issue 11, Nov. 2009 Page(s):4510 – 4519

           Adaptive Droop Control Applied to Voltage-Source Inverters Operating in Grid-
           Connected and Islanded Modes. Vasquez, J.C.; Guerrero, J.M.; Luna, A.; Rodriguez,
           P.; Teodorescu, R. Industrial Electronics, IEEE Transactions on Volume 56, Issue 10,
           Oct. 2009 Page(s):4088 – 4096

           Book chapters

           Josep M. Guerrero and Juan. C. Vasquez, Uninterruptible Power Supplies, The
           Industrial Electronics Handbook, Second edition, Irwin, J. David (ed.).


Ph.D. Thesis dissertation                                                               Page 67
Conference Publications


           Adaptive Droop Control Applied to Distributed Generation Inverters Connected to the Grid, J.
           C. Vasquez, J. M. Guerrero, E. Gregorio, P. Rodriguez, R. Teodorescu and F.Blaabjerg, IEEE
           International Symposium on Industrial Electronics (ISIE’08). Pages 2420-2425. Jun. 30, 2008.

           Droop Control of a Multifunctional PV Inverter. R. A.Mastromauro,M. Liserre, A. dell’Aquila,
           J.M. Guerrero and J. C. Vasquez, IEEE International Symposium on Industrial Electronics
           (ISIE’08), pages 2396-2400. Jun. 30, 2008.

           Ride-Through Improvement of Wind-Turbines Via Feedback Linearization, J.Matas, P.
           Rodriguez, J.M. Guerrero, J. C. Vasquez, In IEEE International Symposium on Industrial
           Electronics (ISIE’08), Pages 2377-2382, Jun. 30, 2008.

           Parallel Operation of Uninterruptible Power Supply Systems in Microgrids, J. M. Guerrero, J.
           C. Vasquez, J. Matas, J. L. Sosa and L. Garcia de Vicuña, 12th European Conference on Power
           Electronics and Applications (EPE’07), sept.2007.Page(s): 1-9.

           Hierarchical control of droop-controlled DC and AC microgrids−a general approach towards
           standardization, J. M. Guerrero, J. C. Vasquez and R. Teodorescu, “,” in Proc. IEEE IECON,
           2009, pp. 4341-4346.



Ph.D. Thesis dissertation                                                                     Page 68
Control and power management of DC coupling microgrids.

            Addresses an open field for new renewable energy power-management control
            strategies. (Power quality, electrical power quality, reliability and flexible
            operation in Microgrids). Hierarchical control.

            Integrated energy storage systems.

             Capabilities and limitations of each storage technology. The final goal is to
            develop and integrate energy storage systems specifically designed and optimized
            for grid-tied PV applications.

            Improving the hierarchical control strategy.

            DPS applications such as telecom voltage networks.
            Hard power quality standards, demand new control strategies imposed for
            energy management of Microgrids, based on intelligent/adaptive algorithms.
            Enhancing of tertiary control for harmonics injection to the grid (power quality)
            Active filters functionalities.


Ph.D. Thesis dissertation                                                            Page 69
Thanks for your
                               attention
Ph.D. Thesis dissertation               Page 70

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Decentralized Generation In Microgrids

  • 1. Juan Carlos Vásquez Quintero Advisor: Josep María Guerrero Zapata Ph.D. Thesis Dissertation 2009 Ph.D. on Automatics, Robotics and Vision
  • 2. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions and publications VIII. Future work Ph.D. Thesis dissertation Page 2
  • 3. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions VIII. Future work Ph.D. Thesis dissertation Page 3
  • 4. Distributed Generation (DG) Paradigm and Smart grids Nowadays problem:  Energy crisis & climate change.  Kyoto’s protocol: reduction of CO2 emission. Raise of renewable energy:  Photovoltaic.  Wind.  Hydrogen.  Micro-turbines. Small energy storage systems:  Uninterruptible Power Sources (UPSs).  Flywheels.  Super capacitors.  Compressed air devices.  Mini-hydraulics. Ph.D. Thesis dissertation Page 4
  • 5. So, what is a Microgrid? Small energy storage Renewable energy sources systems PV Wind turbine Grid panel system UPS PCC Inverters Common ... . AC bus Intelligent Bypass Power Distribution Switch Network (IBS) Distributed loads Ph.D. Thesis dissertation Page 5
  • 6. Microgrids are required in the next electrical grid mgrids… Avoid transmission power losses Improve the system efficiency Increase the reliability Ph.D. Thesis dissertation Page 8
  • 7. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions VIII. Future work Ph.D. Thesis dissertation Page 9
  • 8. Control of single DG units according to Microgrid requirements:  Modeling of the DG unit  Use appropriate control variables to control P and Q  Derive decentralized controllers (droops)  Propose control strategies for grid connected and islanded operation  Grid-connected mode:  Accuracy of the P and Q injected  Voltage sags and harmonics ride through  Large grid impedance variation  Islanded mode:  Voltage stability  Harmonic current sharing  Hot-swap operation Ph.D. Thesis dissertation Page 10
  • 9. Hierarchical control of microgrids  Primary control – Inside the DG units  Droop functions – Virtual inertias  Harmonic current sharing  Hot-swap operation  Secondary control – Inside the microgrid  Frequency and amplitude restoration  Synchronization loops  Tertiary control – Outside the microgrid  P and Q power flow at the PCC Ph.D. Thesis dissertation Page 11
  • 10. (IET department, AAU, Denmark) Ph.D. Thesis dissertation Page 12
  • 11. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions VIII. Future work Ph.D. Thesis dissertation Page 13
  • 12. The circulating current concept i1 Critical AC DC link bus io  i1  i2 Distributed critical i2 loads DC link Ph.D. Thesis dissertation Page 14
  • 13. The circulating current concept E 1f1 Z o1 rL1 L1 L2 rL2 Z o2 E 2f2 V 0o i1 i2 ZL DG 1 DG #2 S 1=P 1+jQ 1 S 2=P 2+jQ 2 Circulating power analysis S L = P L +jQ S S1  S2 consequently… P P  P2 1 Q Q1  Q2 Assuming L1  (Zo1  Z L1 ), L2  (Zo 2  Z L 2 ) And total output impedance is manly inductive X T  ( L1  L2 ) Ph.D. Thesis dissertation Page 15
  • 14.  P/Q expressions being E1 E2 EE P  sin f  1 2 f XT XT sin f  f E  E1  E2 Q  V E cos f 1 f  f1  f2 XT Circulating currents: E1 E2 E i p  f iQ  VX T XT Assuming inductive output impedance, the active and reactive powers or currents can be controlled by adjusting the phase and the amplitude of the output voltage. Ph.D. Thesis dissertation Page 16
  • 15. Conventional droop method  o1 Frequency droop o o2   m *  P    *  mP ’ m’  ’ Emax = 5% P’ max=2% P Pmax P P1 P’1 P’2 P2 Output Z=jX Z=R(q=0o) Impedance (inductiveq=90o) Amplitude droop Active P EV sin f  EV f EV cos f  V 2 E P E* power X X R E  E *  nQ Reactive EV cos f  V 2 V EV Q  (E V ) Q  sin f E power X X R Frequency droop   *  mP   *  mQ Amplitude droop E  E*  nQ E  E*  nP Qmax Q Ph.D. Thesis dissertation Page 17
  • 16. Controller:    *  mP E  E *  nQ System Dynamics: ˆ ˆ ˆ ˆ s 3f  As 2f  Bsf  Cf  0 c A   2 X  nV cos   X  B  c c X  ncV cos   mVE cos   X c  1  C mVE  X cos   nV   X X   Depends on m, n, X, c System transient can not be modified Ph.D. Thesis dissertation Page 18
  • 17. Conventional droop method: Static restrictions 1) Static trade-off: F/V regulation and P/Q power sharing. 2) Limited transient response. System dynamic is determined by m, n and strongly determined by X. 3) Unbalancing on line impedance when P/Q is shared. 4) Synchronization problems in relation with the utility main (F and f deviation). 5) Line impedance dependence (islanded mode). Static trade-off: F/V regulation Ph.D. Thesis dissertation Page 19
  • 18. Proposed strategy: Adaptive droop method Q* Droop functions ipcc Q  Qc  LPF Gq (s)  P/Q E* 90º Decoupling * v pcc P* Transformation E ipcc LPF P Pc G p ( s) f Vref * E sin(t  f ) Power Calculation Zg qg Impedance estimation algorithm f  Gp (s)Z g (P  P*)sinq g  Q  Q*  cosq g      G p ( s)  mi  mp s  md s 2 s E  E*  Gq (s)Z g (P  P*)cosq g  Q  Q*  sinq g  n n s     Gq (s)  i p s Ph.D. Thesis dissertation Page 20
  • 19. Power flow modeling  EVg cos f  Vg 2  EVg VSI Vpcc Grid P  cosq g  sin f sinq g E  Zg  Zg    EVg cos f  Vg 2  EVg i pcc Q  sinq g  sin f cosq g Ef Zo Zg Vg 0º  Zg  Zg   P/Q Decoupling transformation Pc  Z g  (P sinq g  Q cosq g ) 2000 Qc  Z g  (P cosq g  Q sinq g ) Active Power Reactive Power 1500 P[W] & Q[VAr] 1000 Pc  EVg sinf Qc  EVg cosf Vg 2  Vg  E Vg  500 Pc is mainly dependent on the phase f, and 0 Qc depends on the voltage difference 2 4 6 8 10 between the VSI and the grid (E – Vg). Time[s] Ph.D. Thesis dissertation Page 21
  • 20. System dynamics   1  P* sin q g  Q* cosq g    tan       P* cosq g  Q* sin q g  Vg 2 Z g     Vg 2 cosq g  P*Z g E Vg  cosq g cos   sin q g sin   Characteristic equation a4 s 4  a3 s3  a2 s 2  a1s  a0  0 a4  T 2  2Tmd Vg Ecos a3  4T  4md n pVg 2 E  2Vg cos  2md E  Tn p  Tm p E  a2  2Vg cos Tmi E  Tni  2n p  2m p   4Vg 2 E  m p n p  md ni   4 a1  4Vcos  ni  mi E   4V 2 E  mi n p  m p ni  a0  4ni mi EV 2 Ph.D. Thesis dissertation Page 22
  • 21. Validating the obtained model -3 x 10 10 8 6 Phase [rd] 4 2 Model Real 0 -2 0 0.2 0.4 0.6 0.8 1 Time [s] System and model dynamic response Ph.D. Thesis dissertation Page 23
  • 22. Root Locus System stability 30 20 3 10 Imaginary Axis b) 1 2 0 -10 4 -20 -30 -100 -80 -60 -40 -20 0 Real Axis Root Locus 1 0.8 a) 0.6 0.4 Figure Parameter Imaginary Axis 0.2 4 1 2 3 0 a) 0.00005<mp <0.0001 c) -0.2 -0.4 b) 1e-6<md <4e-5 -0.6 -0.8 c) 0.0004<np <0.01 -1 -350 -300 -250 -200 -150 -100 -50 0 Real Axis Ph.D. Thesis dissertation Page 24
  • 23.  Line impedance sensitivity 1600 1600 1400 1400 1200 1200 1000 1000 800 800 600 600 400 400 200 R=1 200 R=1 R=2 R=2 0 0 R=3 R=3 -200 -200 0 0.5 1 1.5 2 0 0.5 1 1.5 2 (a) (b) Start up of P for different line impedances, (a) with and (b) without the estimation algorithm of Zg. Ph.D. Thesis dissertation Page 25
  • 24. VSI Local Bypass Z L load g Vg Block diagram scheme of the C proposed method v pcc Grid Voltage and Grid parameters Ident. d q current Algorithm (Estimated Driver and Monitoring Transf Values) ipcc SOGI-FLL g Vg Zg qg PWM generator *  Sine * E* P f PC P/Q  P Current Voltage Vref generator Droop QC Decoupling  Loop Loop E sin(  t  f ) E Q control Transf *  Q Inner loops PWM inverter L =713m H Local Bypass Transformer load 5kVA VDC 400V  C  2.2m F Z Grid  L =713m H 10mH Hardware ic E Vg ig Setup dSPACE Ph.D. Thesis dissertation Page 26
  • 25. Power Calculation Zg qg QC i pcc Q    LPF Gq ( s)    Q 0 * E * ES 90º GS v pcc P/Q (Freezing) E Decoupling f * PC Vref i pcc LPF P G p ( s)    E sin(  t  f ) P* fS  LPF PI (s) fS VG ( rms ) LPF PI (s) ES VG GS VC ( rms ) GS Phase Synchronization Amplitude Restoration Block diagram of the whole proposed controller using the synchronization control loops Ph.D. Thesis dissertation Page 27
  • 26. Synchroniz. Process (grid and VSI voltages) Synchroniz. Error signal Island Grid connected mode Island P/Q load step during grid transitions Ph.D. Thesis dissertation Page 28
  • 28. Active power transient response for Q*=0 (P: Blue, Q:black) Active power transient during a P* step. Reactive power transient during a Q* step (absorbing) Ph.D. Thesis dissertation Page 30
  • 29. Conclusions  A novel control for VSIs with the capability of flexibly operating grid- connected and islanded mode based on adaptive droop control strategy was proposed.  Active and reactive power can be decoupled from the grid impedance in order to injected the desired power to the grid.  Enhancement of the classic droop control method.  A novel control for injecting the desired active and reactive power independently into the grid for large range of impedance grid values was presented. This control is based on a parameters estimation provided by an identification algorithm. Ph.D. Thesis dissertation Page 31
  • 30. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions VIII. Future work Ph.D. Thesis dissertation Page 32
  • 31. Shunt DG inverter Control objectives: i. Enhances the stability and the dynamic QG response by damping the system. ii. Provides all the active power given by the PV V 0º source, and extracted in the previous stage by the maximum power point tracker (MPPT). LG  iii. Supports the reactive power required by the grid when voltage sag is presented RL into the grid. E IC E f IG Vg 0º IC  IG  I L I Gd I C ' IG '  IGd  jIGq I Gq IL ' E Ef  V 0º IC IG  f jX I Gq Vg ' 0º Equivalent circuit of the power stage Ph.D. Thesis dissertation Page 33
  • 32. It can be observed that during a Q – E relationship voltage sag, the amount of reactive E current needed to maintain the load voltage at the desired value is V E E V inversely proportional to the grid V E impedance. Q Q0 Q0 Inductance value Maximum P delivered by the VSI (f=90o) Large inductance will help in mitigating EV X voltage sags. Pmax Ph.D. Thesis dissertation Page 34
  • 33. System modeling and Control design f  Gp (s)  PC  PC*  sin q   QG  QG  cosq   *  E  E*  Gq (s)  PC  PC  cos q  QG  QG  sin q   * *  s5  a4 s 4  a3 s3  a2 s 2  a1s  a0  0 a4  4o Z a3  V o cos  (n p  Em p )  2o (1  2 2 ) Z 2 2 a2  2V o  cos  n p  Em p   o VE cos mi  4o Z 2 2 3 V a1  V o cos  (n p  Em p )  VEo (2 cosmi  4 3 o n p m p )  o4 Z Z V mi  m p s a0  VEo mi (cos  n p ) 4 G p ( s)  Z s Gq (s)  n p E *a (1  a )  Qmax X V = a*E* (being a as the voltage sag percentage) np  Qmax E *a Ph.D. Thesis dissertation Page 35
  • 34. System stability a) b) c) Figure Parameter a) 20e-6<mp <1e-3 b) 2e-6<mi <1.8m c) 8.5mH<LG <5000mH Ph.D. Thesis dissertation Page 36
  • 35. Control diagram PL , QL PG , QG  LG P , QC IL Vg 0º IG C Load VC IC   Inner Repetitive  PI loop  Control I ref control VC Vref VC QG PC P IG Q Droop Outer P/Q Control P * calculation IC calculation Q*  0 ( MPPT ) control loop Q' IG QG   Gq ( s) LPF   90º QG  0 * V* VC P/Q V Decoupling * Vref Vref PC  P'  f IC LPF G p ( s) V sin(t  f )    Power PC * f* LPF Calculation Ph.D. Thesis dissertation Page 37
  • 36. Set-up and simulation results P/Q transient responses by the PV inverter in presence of a voltage sag of 0.15 p.u when Pc*=500W Current waveforms in case of a voltage sag of 0.15 p.u (inverter current ic , grid current Ig and load current Iload) Ph.D. Thesis dissertation Page 38
  • 37. Simulation results Grid voltage waveform in presence of 1st, 3rd, 5th 7th and 9th voltage harmonics. P/Q transient responses and step changes provided by the PV inverter Ph.D. Thesis dissertation Page 39
  • 38. Simulation results (detail) Inverter output voltage, active and reactive power transient responses under a nonlinear load (detail) Current waveforms in case of a nonlinear load. Vg (upper), Inverter current (middle), grid current Ph.D. Thesis dissertation Page 40
  • 39. Laboratory set-up (Electrical Engineering department, Polytechnic of Bari, Italy) Ph.D. Thesis dissertation Page 41
  • 40. Experimental results Waveform of the grid voltage and the grid current during the sag. Case of a voltage sag of 0.15 p.u (voltage controlled with droop control) grid voltage, load voltage and grid current. Voltage waveform during the sag. Grid voltage and current (upper). Grid voltage, capacitor voltage and load voltage (lower) Ph.D. Thesis dissertation Page 42
  • 41. Conclusions  A detailed analysis has shown that the novel adaptive droop control strategy has superior behavior in comparison with the existing droop control methods, ensuring efficient control of frequency and voltage even in presence of voltage sags  The converter provides fast dynamic response and active power to local loads by injecting reactive power into the grid providing voltage support at fundamental frequency. Using the basis of the droop characteristic, a new control strategy was proposed, providing all the desired active power given by the PV source. The validity of the proposed control showed ride-through capability to the system, even if a voltage sag is presented in the grid. PhD Thesis dissertation Page 43
  • 42. I. Motivation: Introduction to Microgrids II. Thesis objectives III. Decentralized control: P/Q droop method IV. Droop control method applied to voltage sag mitigation V. Operation modes of a microgrid Grid-connected operation mode  Islanded operation mode Transitions between grid connected and islanded modes VI. Hierarchical control of microgrids  Primary control: - P/Q droop. Modeling and control - Virtual Impedance: hot swap operation (smooth connection)  Secondary control: - f/V Restoration (island) and Synchronization (island to grid connected mode) Tertiary control: - P/Q flow control at the PCC VII. Conclusions VIII. Future work Ph.D. Thesis dissertation Page 44
  • 43. PV Wind turbine panel system UPS PCC Inverters Common AC bus . . . Static Transfer switch Distributed loads Micro-grid (IBS) Typical structure of inverter microgrid based on renewable energy resources Synchronization Islanded mode Grid -connected Operation mode restoration Grid failure Islanded mode Grid -connected IBS disconnection Operation mode Ph.D. Thesis dissertation Page 45
  • 44. Primary control: droop Control (P/Q Sharing, softstart). Secondary Control: Synchronization and Tertiary Restoration (Set-points assignation to the DGs ). Control Tertiary Control : Power Import/export from/to the grid. Secondary Control Primary Control Bypass off E= V* P= P* ; Q=Q* Import/export * P/Q Grid Islanding Connected Operation E= Vg Bypass on g Ph.D. Thesis dissertation Page 46
  • 45. Primary control: Droop Control (P/Q Sharing, softstart). The inverters are programmed to act as generators by including virtual inertias through the droop method. Grid-connected mode: Microgrid is connected to the grid through an IBS. In this case, all DG units must be programmed with the same droop function Normally, P∗ should coincide with the nominal active power of each inverter, and Q∗ = 0. Two possibilities: 1) Importing energy from the grid: the IBS must adjust P∗ by using low bandwidth communications to absorb the nominal power from the grid in the PCC. 2) Exporting energy to the gr. the IBS may enforce to inject the rest of the power to the grid. Moreover, it must adjust the power references.id Ph.D. Thesis dissertation Page 47
  • 46. Primary control: Droop Control (P/Q Sharing, softstart). This is done with small increments and decrements of P∗ as a function of the measured grid power, by using a slow PI controller: P*  k p ( Pg *  Pg )  ki  ( Pg *  Pg )dt  Pi* where Pg and Pg∗ are the measured and the reference active powers of the grid, respectively, and Pi∗ is the nominal power of the inverter i. Similarly, reactive-power control law can be defined as Q*  k ' p (Qg *  Qg )  k 'i  ( Pg *  Pg )dt  Qi* where Qg and Qg∗ are the measured and the reference reactive powers of the grid, respectively, and Q i ∗ is the nominal reactive power. Ph.D. Thesis dissertation Page 48
  • 47. Primary control: Droop Control (P/Q Sharing, softstart). Islanded mode : When the grid is not present, the IBS disconnects the microgrid from the main grid, starting the autonomous operation:  Droop method is enough to guarantee proper power sharing between the DG units.  Energetic storage: Power sharing should take into account the batteries charging level of each module.  Level of charge of the batteries mmin  * m a sist a 1 Batteries Batteries Fully charge a  0.01 Empty 30% charged fully charged P 30% Pmax Pmax Droop characteristic as a function of the batteries charge level. Ph.D. Thesis dissertation Page 49
  • 48. Primary control analysis :  P  c V  cos   E sin   e        Q  s  c X  sin  E cos   f  c V e  (n  nd s ) cos   e  E sin   f  s  c Rd m  V  c f     md  sin   e  E sin   f  s  Rd ( s  c ) s3  As 2  Bs  C  0 c   V  A 2 RD  nV cos   nd cV cos   mdVE  cos   nd c   X   X  c  V  V  B  c  ncV cos   mVE cos   nd c  md cVE  cos   n   X  X  X  c  V C  mVE  cos   n  X  X Ph.D. Thesis dissertation Page 50
  • 49. Primary control: Droop Control (P/Q Sharing, softstart). Stability for all battery charge conditions Root locus plot in function of the batteries charge level (arrows indicate decreasing value from 1 to 0.01). Ph.D. Thesis dissertation Page 51
  • 50. Power scheme of the primary control Virtual output impedance concept Zo Vref  vo  io Zo (s) * t Inner loops  Vref v Voltage Current PWM +UPS 0.1  loop loop Inverter io Zo (H) 0.05 ZO(s) 0 0.6 10 0.8 1 1.2 1.4 1.6 1.8 2 Virtual output impedance loop P Io1 (A) 0 -10 Voltage  P* 10 0.6 0.8 1 1.2 1.4 1.6 1.8 2 * Vo Reference P/Q Q* Calculation E sin (t) E Io2 (A) 0 Q -10 0.6 0.8 1 1.2 1.4 1.6 1.8 2 P/Q control outer loops time (s) Ph.D. Thesis dissertation Page 52
  • 51. Secondary control: Restoration and synchronization In order to restore the microgrid voltage to nominal values, the supervisor sends proper signals by using low bandwidth communications. This control also can be used to synchronize the microgrid with the main grid before they have to be interconnected, facilitating the transition from islanded to grid-connected mode. Grid Freq. measurement PLL _ PI Primary  * control control Dg units + Supervisory control Primary control Dg units Ph.D. Thesis dissertation Page 53
  • 52. Secondary control analysis : c V e  (n  nd s ) cos   e  E sin   f  s  c Rd m  V  c f     md  sin   e  E sin   f  s  Rd ( s  c ) m  ( P*  Pi* ) EV c Pi  X ( s  c ) Pi (ki  k p s)mEV c / N  2 Pg * Xs  c [ X  mEV (nk p  1)]s  NmEV c ki Ph.D. Thesis dissertation Page 54
  • 53. Stability analysis: Root Locus 1 0.8 0.6 0.4 0.2 4 5 Root-locus plot for Imaginary Axis 0 a) 0.1 ≤ ki ≤ 0.8. -0.2 b) 0.7 ≤ kp ≤ 0.8. -0.4 -0.6 -0.8 -1 Root Locus -80 -70 -60 -50 -40 -30 -20 -10 0 25 Real Axis 20 a) 15 10 5 4 Imaginary Axis 0 -5 -10 5 -15 -20 b) -25 -70 -60 -50 -40 -30 Real Axis -20 -10 0 Ph.D. Thesis dissertation Page 55
  • 54. Power scheme of the secondary control Io Current V* dV control Driver and Frequency restoration Voltage restoration loop level PWM Inverter level Voltage Generator ref Secondary Gwr(s) control control Inner o loop loops Vo Vref Gvr(s) Primary control (droop method) vo Voltage restoration Io Current level V* dV control Driver and Low bandwidth loop PWM Inverter communications Voltage Generator Secondary control control Inner loop loops Vo Primary control (droop method) Ph.D. Thesis dissertation Page 56
  • 55. Tertiary Control : Power Import/export from/to the grid This energy production level controls the power flow between the microgrid and the grid. Power flow can be controlled by adjusting the frequency (changing the phase in steady state) and amplitude of the voltage inside the microgrid by measuring the P/Q through the static bypass switch. (Grid-connected mode).   *  m(P  P*)  PG and PG they can be compared with   *  mP  mP* *  * the desired PG and QG . The control laws can be expressed as following: *   grid d v  k pQ  Q  QG   kiQ   Q  QG  dt * G * G d  k pP  P*  P   kiP   P*  P  dt G G G G P0 P0 P Ph.D. Thesis dissertation Page 57
  • 56. Power scheme of the tertiary control Bypass Main AC grid P,Q Microgrid PLL RMS P/Q calculation df Q Emax _ _ Q* Vref ++ + Gq Gse dv Emin df Secondary P _ max control P* + fref + Gp + Gsw d min Tertiary control Synchronization loop Ph.D. Thesis dissertation Page 58
  • 57. Simulation results Inverter_I 500 P* Io1 Vload P Q* Vo1 PQ MAIN P* calculation Q ILoad P* Io2 Iload pm_sense Q* Vo2 50 1 RL qm_sense Q* Inverter_II RLoad Switch IGrid Grid connected Inverter I , Inverter II and Operation Vgrid ouput voltage P grid Q grid P* grid status Validation vgrid 2000 P Nominal Inv Q* (Sg) Vgrid Vg P Nominal Inv P* grid V.sin (Wt) L2 Iogrid Pid_Pout [Vload] VL Pid_Pin 1000 phi_g Q* grid Terminator R+L P*grid 1000e-6 model Vgrid Grid 0 PID 1000e-6 Status default Q*grid I_Pgrid Ph.D. Thesis dissertation Page 59
  • 58. Simulation results 4000 3000 UPS # 2 2000 disconnected P(W) P1 1000 P2 Pg 0 Grid connected Islanded -1000 0 1 2 3 4 5 6 7 8 9 t(s) 4000 Active power transients between grid connected and islanded modes for 2 DG units 3000 2000 PhD Thesis dissertation (W) Page 60
  • 59. Simulation results Ph.D. Thesis dissertation Page 61
  • 60. Experimental results Hot-swap capability Currents of the UPS#1, UPS#2, UPS#3 and UPS#4 in a) Soft-start operation, and b) Disconnection scenario Ph.D. Thesis dissertation Page 62
  • 61. Experimental results Output current 1 Circulating current Output current 2 X: 100ms/div, Y: 20 A/div Ph.D. Thesis dissertation Page 63
  • 62. Experimental results Non-linear loads Waveforms of output voltage and load current sharing a nonlinear load. (X-axis: 5 ms, Y -axis: 20 A/div). Ph.D. Thesis dissertation Page 64
  • 63. From the analysis, system stability and power management control starting from a single voltage source inverter to a number of interconnected DG units forming flexible Microgrids: A dynamic model design and a small signal analysis. Control-oriented modeling based on active and reactive power analysis. A control strategy in order to inject both the desired active and the reactive power independently into the grid for large range of impedance grid values.  Control synthesis based on enhanced droop control technique capable of decouple active and reactive power flows. Voltage ride-through capability, by controlling the injection of reactive power to solve grid voltage sags. Ph.D. Thesis dissertation Page 65
  • 64.  Droop-controlled microgrids can be used in islanded mode.  Improvements to the conventional droop method are required for integrate inverter-based energy resources:  Improvement of the transient response  Virtual impedance: harmonic power sharing and hot-swapping  Adaptive droop control laws  The hierarchical control is required for a AC microgrid:  Primary control is based on the droop method allowing the connection of different AC sources without any intercommunication.  Secondary control avoids the voltage and frequency deviation produced by the primary control. Only low bandwidth communications are needed to perform this control level. A synchronization loop can be add in this level to transfer from islanding to grid connected modes.  Tertiary control allows to import/export active and reactive power to the grid. Ph.D. Thesis dissertation Page 66
  • 65. Journal Publications Control Strategy for Flexible Microgrid Based on Parallel Line-Interactive UPS Systems. Guerrero, J.M.; Vasquez, J.C.; Matas, J.; Castilla, M.; de Vicuna, L.G. Industrial Electronics, IEEE Transactions on, Volume 56, Issue 3, March 2009 Page(s):726 – 736. Voltage Support Provided by a Droop-Controlled Multifunctional Inverter Vasquez, J.C.; Mastromauro, R.A.; Guerrero, J.M.; Liserre, M. Industrial electronics, IEEE Transactions on , Volume 56, Issue 11, Nov. 2009 Page(s):4510 – 4519 Adaptive Droop Control Applied to Voltage-Source Inverters Operating in Grid- Connected and Islanded Modes. Vasquez, J.C.; Guerrero, J.M.; Luna, A.; Rodriguez, P.; Teodorescu, R. Industrial Electronics, IEEE Transactions on Volume 56, Issue 10, Oct. 2009 Page(s):4088 – 4096 Book chapters Josep M. Guerrero and Juan. C. Vasquez, Uninterruptible Power Supplies, The Industrial Electronics Handbook, Second edition, Irwin, J. David (ed.). Ph.D. Thesis dissertation Page 67
  • 66. Conference Publications Adaptive Droop Control Applied to Distributed Generation Inverters Connected to the Grid, J. C. Vasquez, J. M. Guerrero, E. Gregorio, P. Rodriguez, R. Teodorescu and F.Blaabjerg, IEEE International Symposium on Industrial Electronics (ISIE’08). Pages 2420-2425. Jun. 30, 2008. Droop Control of a Multifunctional PV Inverter. R. A.Mastromauro,M. Liserre, A. dell’Aquila, J.M. Guerrero and J. C. Vasquez, IEEE International Symposium on Industrial Electronics (ISIE’08), pages 2396-2400. Jun. 30, 2008. Ride-Through Improvement of Wind-Turbines Via Feedback Linearization, J.Matas, P. Rodriguez, J.M. Guerrero, J. C. Vasquez, In IEEE International Symposium on Industrial Electronics (ISIE’08), Pages 2377-2382, Jun. 30, 2008. Parallel Operation of Uninterruptible Power Supply Systems in Microgrids, J. M. Guerrero, J. C. Vasquez, J. Matas, J. L. Sosa and L. Garcia de Vicuña, 12th European Conference on Power Electronics and Applications (EPE’07), sept.2007.Page(s): 1-9. Hierarchical control of droop-controlled DC and AC microgrids−a general approach towards standardization, J. M. Guerrero, J. C. Vasquez and R. Teodorescu, “,” in Proc. IEEE IECON, 2009, pp. 4341-4346. Ph.D. Thesis dissertation Page 68
  • 67. Control and power management of DC coupling microgrids. Addresses an open field for new renewable energy power-management control strategies. (Power quality, electrical power quality, reliability and flexible operation in Microgrids). Hierarchical control. Integrated energy storage systems.  Capabilities and limitations of each storage technology. The final goal is to develop and integrate energy storage systems specifically designed and optimized for grid-tied PV applications. Improving the hierarchical control strategy. DPS applications such as telecom voltage networks. Hard power quality standards, demand new control strategies imposed for energy management of Microgrids, based on intelligent/adaptive algorithms. Enhancing of tertiary control for harmonics injection to the grid (power quality) Active filters functionalities. Ph.D. Thesis dissertation Page 69
  • 68. Thanks for your attention Ph.D. Thesis dissertation Page 70