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1.
Winding 1 has
turns and winding 2 has
turns.
. Neglect leakage induc
tances and assume variations are sinusoidal.
(a)
(b)
(c)
2.
Winding 1 has
turns.
,
. Neglect leakage induc
tance.
(a)
(b) If
and
. Express
. Neglect resistance. For what combinations of
and
will
have a nonzero average value.
3. Suppose for a 2winding device,
,
, and
. Let
,
, and
. At what value or values of
is the steadystate
a sinusoidal function of time with the same frequency as the current
? For this (these)
value(s) of
, express
(steadystate
). Neglect resistances.
a’
a
f
f’
θ
r
100
50
ℜ
m
2000 H
1
–
=
L
aa
θ
r
()
___
___
?
H
cos
+
=
L
af
θ
r
___
___
?
H
cos
+
=
L
ff
θ
r
___
___
?
H
cos
+
=
a’
a
θ
r
100
ℜ
m
max
,
1000 H
1
–
=
ℜ
m
min
,
500 H
1
–
=
L
θ
r
___
___
?
H
cos
+
=
i
a
2
ω
e
t
cos
=
θ
r
ω
r
t
=
v
a
ω
e
ω
r
p
a
v
a
i
a
=
L
11
2 mH
=
L
22
1 mH
=
L
12
0.5
θ
r
sin
mH
=
i
2
1 A
=
i
1
3
ω
e
t
cos
A
=
θ
r
50
t
=
ω
e
v
1
i
1
ω
e
V
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This note was uploaded on 11/29/2010 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue University.
 Spring '08
 Staff

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