EE321 Spring 2008
Homework #11
Problem 47
P
v
abcs
T
i
abcs
⋅
=
v
qd0s
r
T
T
⋅
K
s
r
1
T
−
⋅
⎛
⎜
⎝
⎞
⎟
⎠
K
s
r
1
−
i
qd0s
r
⋅
⎛
⎜
⎝
⎞
⎟
⎠
⋅
=
P
v
qs
r
v
ds
r
v
0s
⎛
⎝
⎞
⎠
c
s
1
c
n
s
n
1
c
p
s
p
1
⎛
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎠
⋅
c
c
n
c
p
s
s
n
s
p
1
1
1
⎛
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎠
⋅
i
qs
r
i
ds
r
i
0s
⎛
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎠
⋅
=
v
qs
r
v
ds
r
v
0s
⎛
⎝
⎞
⎠
3
2
0
0
0
3
2
0
0
0
3
⎛
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎠
⋅
i
qs
r
i
ds
r
i
0s
⎛
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎠
⋅
=
P
v
qs
r
v
ds
r
v
0s
⎛
⎝
⎞
⎠
3
2
i
qs
r
3
2
i
ds
r
3i
0s
⎛
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎠
⋅
=
3
2
v
qs
r
i
qs
r
⋅
v
ds
r
i
ds
r
⋅
+
2v
0s
i
0s
⋅
+
⎛
⎝
⎞
⎠
⋅
=
Problem 48
Machine Parameters
r
s
3
:=
λ
m
0.17
:=
N
3
:=
L
ss
10 10
3
−
⋅
:=
P
4
:=
Load
T
L
ω
r
(
)
2
ω
r
2
P
⋅
200
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
2.3
:=
Source
v
s
100
:=
φ
v
0
:=

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