ECE 3364 HW 8, Spring 09, due 4/1
Problem 1.
Zline2
jwM
B
C
A
B
C
ZL-Y
N
ZL-Y
ZL-Y
A
bZline1
cZline1
a
Zline1
+
-
a’
n
b’
c’
+
-
+
-
ZS
ZS
ZS
v
a’n
~
v
c’n
~v
b’n
~
Zline2
Zline2
a
b
c
+
-
V
ab
~I
ab
~
I
aA
~
N
jwL
1
R
1
R
2
Zline2
Zline2
jwM
B
C
A
B
C
ZL-Y
ZL-Y
N
ZL-Y
ZL-Y
ZL-Y
ZL-Y
A
bZline1
Zline1
cZline1
Zline1
a
Zline1
Zline1
+
-
+
-
a’
n
b’
c’
+
-
+
-
+
-
+
-
ZS
ZS
ZS
ZS
ZS
ZS
v
a’n
~
v
a’n
v
a’n
~
v
c’n
~
v
c’n
v
c’n
~v
b’n
~
v
b’n
v
b’n
~
Zline2
Zline2
Zline2
Zline2
aa
bb
cc
+
-
V
ab
~
V
ab
V
abab
~I
ab
~
I
abab
~
I
aA
~
I
aA
~
N
jwL
1
jwL
1
R
1
R
1
R
2
R
2
Balanced 3 phase circuit with a three phase
Δ
−
Y
transformer.
rmsna VV o
01200
~
'∠=
22 jZs+=
510
1jZline +=
84
11 jLjR +=+
ω
146
22 jLjR +=+
ω
9=M
ω
14
2jZline +=
16112 jZ YL −=
−
Find ba
I, the current in the secondary windings.
