§ 11-2 The linear transformer
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cetanr e a cr e f l e t t e d
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cetanr e s i sr e f l e t t e d
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The T equivalent of the transformer
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)2(2212 ??? ?? ILjIMjV ??
)3(21 ??? ?? III
)1()3( 12 ???? ??? III
?? ??? IMjIMLj ??
11 )(
)2()3( 21 ???? ??? III
22 )(
?? ??? IMLjIMj ??
)( 1111 ???? ??? IIMjILjV ??
2222 )(
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In side(同侧 ):
Out of side (异侧 ),(L1+M,L2+M,-M)
Example 2,Find the three inductance appearing in the T
equivalent of the transformer shown in Fig.,if L2=4H and the
input inductance at A-B is 6H with C-D open-circuited,and
2H with C-D short-circuited.
Solution:
C-D open-circuited L2 = 4H
LAB=L1+M-M=6 L1 = 6H
C-D short-circuited
HMMM MMML AB 424 ))(4(6 ????? ?????
L1+M=10H,L2+M= 8H,-M= - 4H.
DP,Let L1=0.1H,L2=0.4H,and M=0.12H in the transformer of
Fig.,Find the input inductance at terminals A-B,If (a) C is
connected to D; (b) C is connected to A,and D to B; (c) C is
connected to B,and D to A.
Solution:
(c):
(b),LAB=0.0346H (a),LAB=0.064H
LAB=0.0985H