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E. J. Lerner, Chief Scientist, LPPFusion, Inc.
Nov 12, 2014
Focus Fusion: the Fast Route to
Fusion Energy Systems
University of the South
LPPFUSION
What Would Happen
If We had Cheap Clean Energy?
What if we could develop in the
next five years a 5 MW energy
source 10 times cheaper than
any now available that was
safe and non-polluting?
LPPFUSION.com
Economic Benefits
17% increase in real income for median
industrialized country resident
44% increase in real income for median
person in the world
LPPFUSION.com
JOBS, Services and Infrastructure
$5 TRILLION per year not spent
on energy
100-150 million new jobs
globally
LPPFUSION.com
Environmental Benefits
• End 7 million deaths per year from
pollution by coal, diesel, gasoline
• End oil spills, mining devastation
• Total recycling with plasma torch
• Money released to end deforestation,
environmental clean-up
• No greenhouse gases
• No radioactive waste
LPPFUSION.com
Benefits for Peace
No more war to prop up the price of oil
Fission energy is obsolete—
lock up the uranium mines
LPPFUSION.com
Distributed Power
• 5 MW generators, safe enough to
put in neighborhoods
• far more reliability in disasters,
• rapid deployment to towns and
villages throughout the world
LPPFUSION.com
ITER TOKAMAK
LPPFUSION.com
Dense Plasma Focus :
small inexpensive device
LPPFUSION.com
FOCUS FUSION – 1, Experimental Device
LPPFUSION.com
Focus-Fusion-1 Experimental Device
12-CAPACITOR BANK
Stored energy 100kJ
(vs 10 GJ for JET)
Capacitor potential 45 kV
Peak current 1.4-2.8 MA
Electrodes: 5 cm cathode, 2.8 cm anode
How could we possibly be
so small and fast?
1) Magnetic fields supplied by
currents not external magnets
2) Use natural instabilities,
not fight them
3) Seeking metastability, not
absolute stability—far easier
Physics of the DPF
Parallel Currents Attract :
Pinch Effect
Ampere and the
Pinch Effect
http://vimeo.com/97608819
Key Concepts
How Do We Know the
Magnetic Field?
Ampere’s Law
How Do We Know the Force?
Lorentz Force Law
Physics of the DPF
Ampere’s law
Ampere-1826
Maxwell—1864
Heaviside 1884-89
• The curl of the magnetic field at any point is
proportional to and in the same direction as
the rate of change of the electric field with
time plus the current density (current per
area).
Meaning of the curl
Imagine the magnetic field as a flow of fluid
in the direction of the magnetic field at every point. Then
If your fingers of the right hand are in the direction of the
flow then your thumb defines the axis the fluid is spinning –
the direction of the “curl” –and the rate of spin is the
magnitude of the curl.
The current density gives the
curl of the field and the curl
lets us calculate the
magnetic field
Lorentz Force Law
Heaviside 1889
Lorentz 1892
F=q(E + vXB)
Force on a charge is equal to the charge q
times the sum of the electric field strength and
the cross product of the particle’s velocity and
the magnetic field strength
LPPFUSION.com
How A DPF Device Works
Magnetic Field of DPF
Unpinch, Rundown, Pinch
LPPFUSION.com
Force-Free Vortex Filaments
1950-1963
LPPFUSION.com
Key plasma parameters-- such as
velocity--are scale-invariant
In Lab: 10 cm , msec
Solar flare: 10,000 km, 100 sec
Galaxy: 30 kpc, 15 My
Super-cluster: 100 Mpc, 100Gy
The Cosmic Connection
Alfven, Falthammar
LPPFUSION.com
Spiral GalaxyQuasars
Beam From Star
Formation
REPRODUCING NATURAL INSTABILITIES
Solar Flares
LPPFUSION.com
PLASMOID
8ns after pinch
LPPFUSION.com
Metastability Far Easier
High Density, High B field
ITER DPF
Minor radius cm 200 6x10-4
Ion velocity 108cm/s 1.2 10
B Field 5x104 5x109
Ion density 1014 1024
Confinement time 400 s 6 ns
Ion revolutions 4x107 1.6x103
25,000 times easier
What Is Aneutronic Fusion?
It’s a fusion using aneutronic fuel, ideally made
of hydrogen and boron, pB11, which
produces no neutrons
and thus no radioactive waste.
Aneutronic → No neutrons → No Radioactive waste
LPPHYSICS.COM
Faraday’s Law
Faraday 1831
The curl of the field is proportional
to and in the opposite direction
from the rate of change of the
magnetic field with time.
LPPFUSION.com
ENERGY CAPTURE DEVICE
X-rays, Ion Beams
LPPFUSION.com
SAFE
• NO neutrons from main reaction
• NO high energy neutrons
• NO radioactive waste—electrodes contain
less radioactivity than a roomful of people.
• Generator safe to service without protection 9
hours after turn-off
How Safe?
• 0.8 micro curies of radioactivity in each used
set of electrodes.
• Radioactivity of human child –about 0.2 micro
curies
Radioactivity of classroom of 25 children—5
micro curies
• NO RADIOACTIVE WASTE
Aneutronic DPF Allows Far Higher
Energy Density, Far Lower Cost
ITER Focus Fusion
Power (MW) 500 5
Power/m3 0.05 1200
Power/m2 0.5 40
Neutron power/m2 0.5 0.08
Fusion Comparison
Fusion Yield/Energy Input
Energy output per 1,000 J input
DT: DD:
JET 2.2 J 0.01 J
Sarov DPF 0.2 J 0.00045 J
NIF 0.03 J
FF-1 DPF 0.004 J
LPPFUSION.com
WHERE ARE WE?
Ion temperature— goal achieved —over
1.8 billion degrees, enough to ignite pB11
Confinement time— goal achieved 20 ns—more
than 8 ns goal
Energy transfer to plasmoid—
over 50% of goal
Density—must increase by 10,000
LPPFUSION.com
Steps To Increase Density
50x-- Achieve theoretical density—tungsten
electrodes to eliminate impurity
10x-- Increase current to 2.8 MA
20x-- Better compression with heavier pB11
How Do we Reduce X-ray Cooling?
X-ray emission increases as z2
Boron 25 x as emissive as hydrogen
How do we avoid this?
LPPFUSION.com
Reducing X-ray Cooling
Quantum Magnetic Field Effect
LPPFUSION.com
Quantum Magnetic
Field Effect
2003
QMEF reduces Te by
>20x
Cuts X-ray by >4x
Allows ignition of pB11
BUT only with B>~3 GG
Ion energy of 160 keV
LPPFUSION.com
Generated Interest
How Does it Get so Hot?
Main Mechanism is Viscous
Heating—Haines, others
Ordered Motion Into
Random Motion
Higher Densities, Electron Beam
Wave Heating
Why Does DPF
Fusion Yield Plateau?
LPPHYSICS.COM
y = 1E-08x6.7542
1.00E+06
1.00E+07
1.00E+08
1.00E+09
1.00E+10
1.00E+11
1.00E+12
1.00E+02 1.00E+03
NeutronYield
Current I (kA)
Buenos Aires(PFI)
FF-1
Frascati(1MJ)
Limeil
NTSC
Swierk
U of Illinois LPP
Stuttgart(HV)
Darmstadt
Stuttgart(Poseidon)
LPPFUSION.com
Sources of Impurities: Erosion
of Anode, Arcing at Joins
Amounts: 0.6mg from anode erosion,
0.4mg from arcing
50% of D sheath mass
LPPFUSION
LPPFUSION.com
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
34 35 36 37 38 39 40 41
Impurity/Dmassratio
Charging voltage (kV)
LPPHYSICS.COM
Uneven impurity
distribution
(2012)
asymmetric
sheath
poor
compression
Increase in collision
rate with zeff
4
(2013)
prevents
magnetization
of filaments
leading to
double sheath
Low Density
Yield
Plateau
LPPFUSION.com
What We Should See
LPPFUSION.com
What We Actually See
LPPFUSION.com
New-2014
Cause of Anode Erosion:
Runaway Electrons
(PHYSICS OF PLASMAS 21, 102706)
During breakdown, with high E fields
Vre=5.5e(E/40p)^1/2 eV
(Tarasenko and Yakovlenko)
Vaporization occurs if thermal conduction
can’t carry away heat at the boiling point
e(E/40p)^1/2 eV> 0.22LwT(rEtC/t) 1/2/I
LPPFUSION.com
Why More Effect with
Higher Current?
1) Arcing above 2 MA/cm2
2) Magnetization of filaments easier
to disrupt
Magnetization depends on B/n.
For B2/n constant,
B/n declines with increasing B
LPPFUSION.com
Monolithic Electrodes
Connected Outside Chamber
Solution to Arcing
Getting the B Field
• FF-1Now– 0.06 GG
With filaments—0.6 GG
Full current—1.3 GG
With pB11—10 GG
LPPFUSION.com
Needed:
Beryllium electrodes
Tungsten is fine for impurity, but
absorbs too many x-rays
Beryllium far more transparent
But costs-- (single unit)--$120,000
LPPFUSION.com
Biggest Engineering Challenges
Heat Removal—Electrode Erosion
• Sputtering may limit electrode lifetime
but with re-deposition a few weeks
may be OK
• Anode will be heated by x-rays
- key upper limiting factor in repetition
rate
• Deposition of boron
- key lower limit on repetition rate
LPPFUSION.com
Why Has it Taken So Long?
Massive Underfunding:
Tungsten too expensive
Too few large experiments
Under staffing slows progress

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University of the South - Nov. 12, 2014