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E x p e r h n e n t 2
S in gle P h a s e T r a n s fo r m e r - I
O p e n c lr c u lt te s t,
turns r a tio te s t,
m e a s u r in g th e r e s i
s ta n c e o f tr a n s to r m e r w in d ln gs a n d ı
ı
o ı
a r iı
y
te s &
A )O p e n C ir c u it T e s t:
o ◆e c tiv e s
T o de te r m in e the m a m e tic br a n c h c i
rc u it p a r a m e te rs
T o de te r m in e the n o lo a d c u lT e n t
T o de te r m in e th e iro n lo s se s a t v a r io u s v o lta ge s
In tr o d u c tio n
In th e tr a n s fo rm e r o p e n c irc u it te s t,
v a r io u s v o lta ge le v e ls a r e a p p lie d to th e p r im a r y w ith th e s e c o n d a r】
o p e n c irc u ite d B e c a u s e th e se c o n da r y is o pe n c ir c u ite d ,
th e a m o u n t o f c u lT e n t dr a w n b y th e tra n s fo rm e 】
d u r in g th is te s t is v e ry s m a ll re la tiv e to th e r a te d c u lT e n t T h e p o w e r fa c to r e n d s u p be in g is q u ite s m a ll u
w e ll be c a u s e R
c
is m u c h gre a te r the n X
.
Re fe iT in g to th e tr a n s fo rm e r ėq u iv a le n t c ir c u it s h o w n in F ig u r e 2 1
C ¢
a tr a n s fo rm e r turns r a tio
F igu r e 1 1: T r a n s fo rm e r E qu iv a le n t C irc u it r e k 】
T e d to p r im a r y s ide
If e q u a ls z e ro (n o lo a d c o n ditio n s ),
th e n '
2
a ls o e qu a ls z e ro T h e re fo r e ,
I
,
e qu a ls I
.
a n d th e o n ı
y po w e
lo s s e s a re c o r e lo s s e s S o the n e w tr a n s fo rm e r e qu iv a ı
e n t m o de l fo r th e o pe n c irc u it te s t c a n b e U a w n a
fo lı
o w s :
G
F ig u r e 1 2 : O p e n C irc u it E qu iv a le n t C irc u it
表
10. Scanned by CamScanner
飞
T
S in c e the o n ly p o w e r lo s s e s a r e c o re lo s s e s ,
w e c a n c a lc u la te R
c
fro m th e e qu a tio n
V ,
A c tiv e p o w e r (0C, -
?
Z
m
c a n b e c a lc u la te d u s in g th e o p e n c irc u it v o lta ge .
V
, (a c ».
A n d c u rre n t '
ı
(o c )'
fro m th e fo ı
lo w in g :
l(o c
Z .
1
=
V t(o c )
P r o c e d u r e
W e o fte n a p p ly v o ı
ta g e to th e ı
o w v o lta ge s id e ,
s in c e th e o p e n c ir c u it te s t r e q u ir e s th e
a p p lic a tio n o f th e r a ķ d Jro lta g e ,
iť s e a s ie r to a p p ly 115 4 r a th e r th a n 2 2 0 4 a p o w e r s u p p ly
o f (L V )is m o r e r e a d iı
y a v a ilàb le th a n a s u p p ı
y o f (H V )
1 T h e o p e n c ir c u it te s t o f th e tr a n s fo r m e r is g e n e r a lly do n e b y s u pp ly in g th e lo w
v o lta ge s id e a n d ke e p in g th e h ig h v o lta ge s id e o f tr a n s fo r m e r o p e n
2 N o te th e r a tin g s p e c ific a tio n s o f th e tr a n s fo r m e r
3 C o n n e c t th e c i
r c u it s h o w n in th e p r a c tic a l d ia gr a m 2 A
4 V a r y th e a p p lie d v o lta g e to th e lo w v o lta g e s ide fr o m 5 0 to 1 15V
5 R e c o r d th e r e a d in gs r e qu ir e d in T a b le 2 A b e lo w
6 C a lc u la te th e p o w e r fa c to r a t n o lo a d ,
I
.
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I
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I
x m
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c o s R a n d X a t th e r a te d v o ı
ta
C m
2 P lo t th e a p p lie d v o lta ge V
l
a g a in s t '
m
Q u e s tio n s
1 W n y d o e s th e w a ttm e te r in n o lo a d te s t r e a d th e iro n lo s s e s o n ly ?
2 W n y th e n o lo a d te s t is u s u a lly do n e w ith s u p p ly g iv e n to the lo w v o lta ge s ide ?
c
L
11. Scanned by CamScanner
B ) T u r n s R a tio T e s t
o ◆e c tiv e s
T o s tu d y th e r e la tio n be tw e e n the v o lta ge o n the pr im a ry a n d se c o n da ry s ide s o f th e s i
n g ı
e p ha s e ı
r a n s fo rm e
In tr o d u c tio n
T he tr a n s fo rm a tio n ra tio o f a tr a n s fo rm e r is defined a s the ra tio e x iti
n g ,
in n o ı
o a d o p e ra tio n b a w « n th
H V w in d in g v o ı
ta ge a n d th e L V w in d in g v o lta ge
In s te a d,
the turns ra tio o f the tr a n s fo rm e r is de fı
n e d a s the ra tio be tw e e n the n u m be r o f turns o f th e H
w in din g a n d th e n u m be r o f tu r n s o f th e L V w in d in g
F o r a n ide a l tw o w in d in g tra n s fo rm e r w ith p ń m a ry v o lta ge V
,
a pplie d a c r o s s pr im a ry tu m s N ,
s e c o n d a r y v o lta ge V
2
a pp e a r s a c ro s s th e s e c o n d a ry turns N 2
į .
į
'
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N 2
T h e p r im a ry c u 】
T e n t I
,
a n d se c o n d a ry c u rr e n t a re re la te d by
P r o c e d u r e
D e p e n d in g o n th e m e a s u r e d v a lu e s o f V
l
a n d v
2
in T a b le 2 A ,
c a lc u la te th e r a tio : V ,
N 2
Q u e s tio n s
1 H o w d o e s th e tr a n s fo rm e r c h a n ge th e v o lta g e fr o m o n e v a lu e to th e o the r ?
2 W n a t is th e v o lta g e r a tio ? Is it s a m e fo r a ll c o n d itio n ?
P o la r ity T e s t
0 ◆e c tiv e s
T o fin d th e p o la rity o f the tra n s fo r m e r w in d in g s a n d to s tu d y its im p o r ta n c e
In tr o d u c tio n
T h e v o lta g e in d u c e d in the s e c o n d a ry w in d in g o f a s in g le pha s e tr a n s fo rm e r is e ithe r in pha se a gre e m e n t o r
in o p p o s itio n c o m p a re d w ith the prim a ry v o lta g e T his de pe n ds o n ho w the o u tp u t te rm in a ls a re c o n s i
de re d
If the H V te n n in a ls a re la be le d D & Q ,
the L V te rm in a ls a re la be l
e d d & q a n d ,
w he n the v o lta ge in du c e d
be tw e e n D & Q ,
is in p ha s e a gre e m e n t w ith th e v o lta ge in du c e d be tw e e n d & q ,
the po la r ity is s a i
d
su b tra c tiv e O the r w is e ,
th e p o la rity is a dditiv e
12. Scanned by CamScanner
P r o c e d u r e
1 C o n n e c t th e c irc u it s h o w n in th e p ra c tic a l d ia gra m 2 B
2 T u m o n th e p o w e r su pp ly to s e t w h a te v e r v o lta ge v a lu e u n de r ra te d v o lta ge
3 R e a d th e v a lu e o f th e v o lta ge V fr o m s u pp ı
y s ide a n d th e v o lta ge V
ı
be tw e e n the
o th e r o pe n te r m in a ls o f the w in din gs
1f V < V
,
the n ,
e p o la r ity is a dd itiv e
Q u e s tio n s
1 W n a t is m e a n t b y th e a dd itiv e p o la r ity o f » a n sfo rm e r?
2 E x p la in t
h e im p o rta n c e o f p o lar ity te s t o n tra n s fo rm e r?
D )M e a s u r in g th e R e s is ta n c e s o f th e T r a n s fo r m e r W in d in g s
o ◆e c tiv e s
T o d e te r m in e th e v a lu e o f th e w in din g r e s is ta n c e s ,
w h ic h is r e q u ir e d to d e te rm in e th e c o p pe r lo s s e s a n d the
v o ı
ta g e dr o p
P r o c e d u r e
1 D is c o n n e c t a ll c o n n e c tio n s o n tr a n s fo r m e r
2 U s in g a n O h m m e te r ,
m e a s u r e a n d r e c o r d th e D C r e s is ta n c e o f e a c h o f th e fo llo w in g
w in d in g s
T a b le 园
里
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国
匡
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H ig h v o lta g e s id e O V 2 2 0 V
H igh v o lta ge s id e O V 160 V
L o w v o lta g e s id e 1 LO V
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S in g le P h a s e T r a n s fo r m e r - II
S h o r t c ı
r c u il te s i a n d ı
o a d te s t o n a s in gı
e p h a s e tr a n s fo r m e r
A )S h o r t C ir c u it T e s t
o ◆e c tiv e s
* T o c a rr y o u t a s h o rt c irc u it te s t o n a s in gle p h a s e tr a n s fo rm e r
* T o de te n n in e the p a ra m e te r s o f th e e q u iv a le n t c i
r c u it
T o det er m i ne the co p pe r los s e s .
* T o de te r m in e th e im p e d a ri
ċ ė o f th e tr
In tr o d u c tio n
In th e sh o rt c irc u it te s t a v e ry lo w v o lta ge is a p plie d to th e tr a n s fo rm e r p r im a r y (V
ra tc d
- 2 20 V ) w h ile th e
se c o n d a r y (p a r a lle l,
V
n ı
tc d
= 1 10 V )is s h o rte d T h e c u lT e n t d r a w n b y a s h o rt c ir c u ite d tr a n s fo r m e r c a n b e
v e ry h igh w ith o n ly a s m a llp r im a r y v o lta ge T he pń m a r y v o lta ge is c o n tr o lı
e d to c a r e fu lly a dju s t th e
c u rre n t n o w in g in to th e tr a n s fo r m e r Th e in p u t v o lta ge re qu i
re d to c irc u la te r a te d s h o r t c irc u it c u ı
T e n t in
th e L V w in d in g s is q u ite s m a ll, (v
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2
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a n d 1 2
/x ..
A r e n e g lig ib ı
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c o n d itio n re s u lts in v e r y s m a llc o re lo s s e s a n d a n e g lig ib ı
e m a gn e tiz in g c u r re n t F o r p r a c tic a l p u rp o s e s ,
I
,
= '
2
T he w in d in g im p e d a n c e r e fe 】
r e d to th e p r im a r y s ide is
T h e w in d in g le a k a g e re a c ta n c e (X e q
) re fe iT e d to th e p rim a r y s ide is
X
e q
= Z
t q
x s in 61
W n e re V P ,
a n d I a r e the m e a s u re d in pu t v a lu e s o f th e s h o r t c irc u it te s t
I(s c )
ı
1(s c ) ı
(sc )
P r o c e d u r e
w e o fte n a p p ı
y v o lta ge to th e d e p s i n c f
W a iw e d o n i w d m i g i Lb )T h e r a te d c u r r e n t o n th is s id e is 1 7
1 C o n n e c t th e c i
r c u it s h o w n in th e p r a c tic a l d ia g r a m (3 A )
2 In c r e a s e th e su pp ly v o lta ge gr a d u a ı
ly fr o m z e ro to a v a lu e w h ic h w ill c a u s e c u rre n t
thr o u gh th e w in d in g e q u a l to th e r a te d fu ll lo a d c u lT e n t w ith th e se c o n da r y o r lo w v o lta ge
s ide o f th e tra n s fo r m e r s h o rt c ir c u ite d
3 R e a d th e in s tru m e n ts a n u n e te r '
l (sc y
v o ı
tm e te r V
, (sc r
a n d w a ttm e te r W «sc y
a n d th e n
c o m p le te th e T a b le (3 A )
4 C a lc u la te th e p o w e r fa c to r u n de r s ho rt c irc u it c o n ditio n s c o s q
5 C a lc u la te th e im p e d a n c e Z e q
,
th e re s is ta n c e R
.
,
a n d re a c ta n c e x
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旧 匯
T a b ı
e 3 m
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Q u e s tio n s
1 w n y a s h o r t c ir c u it te s t is do n e o n th e ı
r a n s fo rm e r w ith L v w in din g s h o r te d a n d s u p p ly
g iv e n to th e H V w in d in g s i? ?
2 D r a w th e e qu iv a le n t c ir c u it o f th e tr a n s fo rn ı
e r iı
ı
dic a tin g th e v a lu e s o f th e p a 】
a a ı
e te r s ?
B ) L o a d T e s t
o ◆e c tiv e s
T o c a rr y o u t th e lo a d te s t o n a s in g le p h a s e tr a n s fo r m e r b y d ir e c t lo a din g
T o find tra n s f or m e r ef fic
i en c y an d re l
at ion .
In tr o d u c tio n
In th e tr a n s fo r m e r lo a d te s t th e p rim a r y w in din g is c o n n e c te d to th e s u pp ly v o lta ge a n d v a r io u s lo a d
le v e ls a r e a pp lie d to th e s e c o n d a r y T h e a c tu a l tr a n s fo rm e r o n lo a d e ffi
c ie n c y (t l ) c a n b e ? te m ı
in e d
fr o m e x p e ń m e n ta l r e a d in g s a n d is d e fin e d b y th e fo llo w in g e q u a tio n
11. .u d
% = X 1 0 0 %
W n e r e : P
. . .
- R e x I
'
if th e lo a d is p u r e ly r e s is tiv e .
Th e n
.
- v ,
x I,
N o te In p r a c tic e th e o u tp u t p o w e r w o u ld b e m e a s u r e d
T he th e o re tic a l o n lo a d tr a n s fo rm e r e ffi
c ie n c y c a n b e p r e dic te d fr o m tlı
e tra n s fo m ı
e r e qu iv a le n t c ir c u it
u s in g th e fo llo w in g e q u a tio n
Tlp n dic te d
= X 100 %
P . .
+ P iï o n
+
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T r a n s fo rm e r c o r e o r ir o n lo s se s a re de fin e d a s . _
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Q u e s tio n s
1 Is the a c tiv e p o w e r P
,
ı
e s s th a n th e a c tiv e p o w e r P
2
? W n a t is the fu n c tio n o f th e n o lo a d
c u rT e n t?
2 W n y w ill th e tr a n s fo rm e r c o n s u m e m o r e c u lT e n t w h e n it is ı
o a de d ?
D i・・
・・・
国 I
固
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团
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郜
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E x p e r im e n t 4
D C - S h u n t M o to r
0 ◆e c tiv e s
* T o d e te rm in e th e v a r ia tio n o f s p e e d in a iıu n lo a de d a iı
d a lo a d e d s h tu ı
t w o u n d d c ı
n o to r
u s in g b o th a m a a tu r e v o lta ge c o n tr o ı
a n d fie ld r he o s ta t c o n tr c»l
T o d e te rm in e th e to rq u e c h a r a c te r istic a n d th e e ffi
c ie n c y c h a ra c te r is tic
* T o fin d o u t h o w th e d ir e c tio n o f th e r o ta tio n o f a D C S h u n t m o to r c a n be r e v e rs e d
In tr o d u c tio n
A sh u n t m o to r is e s s e n tia lly th e s a m e a s a s e p a r a te ly e x c ite d m o to r T he o n ly d ifte re n c e is th a t a
s e p a r a te ly e x c ite d D C m o to r h a s its Ield c irc u it c o n n e c te d to a n in de p e n d e n t v o lta g e s u p p ly (s e e F ı
g u r e
4 1)w h ile th e s h u iı
t D C m o to r h a s its fie ld c ir c u it c o n n e c te d to t h e t u r e te rm in a ls o f th e m o to r (s e e
F ig u r e 4 2 ) If w e a s s u m e th a t th e s u p p ly v o lta ge o f th e m o to r is c o n s ta n t,
th e pr in c ip le s o f o p e r a tio ń fo r
th e s e p a r a te ly e x c ite d a n d s h u n t D C m o to r s a r e th e s a m e
. ,
T &
V .
F ig u r e 4 1 : E q u iv a le n t C ir c u it o f S e p a r a te ı
y E x c ite d D C
V
t
F ig u re 4 2 : E qu iv a le n t C ir c u it o f S h u n t D C M o to r
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ビ
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n : a n la r v e lo c ity o f th e m a c h in e
B N ĦS ĦN lv o lta ge
R a : a rm a tu re re s i a n c Ė
K E ,
K M : c o n s ta n ts d e pe n d in g o n de s ig n fe a tu re s o f th e giv e n m o to r
T h is e qu a tio n is a lin e a r re gre s s io n A s th e to qq u e in c re a s e s ,
th e sp e e d d e c r e a s e s T he a tio n b e c o m e s
t
n o n lin e a r if e ith e r V
t
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o r flu x c h a n g e s If a r m a tu r e r e a c tio n o c c u r s ,
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c o u n te ra c t a n y a rm a tu re re a c tio n
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e d
1 B y a lte rin g th e fı
e ld re s is ta n c e ,
c a u s i
n g th e fie ı
d flu x to c h a iı
ge
1 B y a lte rin g th e te rm in a l v o lta ge
2 B y in s e rtin g a re s is to r in s e r ie s w ith th e a r m a tu r e
T h e fı
r s t tw o a r e c o m m o n ly u s e d ,
b u t th e th ir d is le s s c o m m o n b e c a u s e it r e du c e s th e e ffi
c ie n c y o f th e
m o to r In th is la b w e w ill b e lo o k in g a t th e p r o p e r tie s o f th e s h u n t n ı
o to r b y in c r e a s in g th e lo a d u s in g a n
e le c tro m a g n e tic b r a k e to a c h ie v e p re s p e c ifı
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