ReviewofdqoTransformationReviewofdqoTransformationdqoTransformation??

ReviewofdqoTransformationReviewofdqoTransformationdqoTransformation?? Notes

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 Page 1


Reviewofd-q-oTransformation
Page 2


Reviewofd-q-oTransformation
d-q-oTransformation
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
= [C
P
]
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
Page 3


Reviewofd-q-oTransformation
d-q-oTransformation
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
= [C
P
]
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
[C
P
] =
?
?
?
?
?
?
k
d
cos? k
q
sin? k
o
k
d
cos(?- 2p/3) k
q
sin(?- 2p/3) k
o
k
d
cos(? + 2p/3) k
q
sin(? + 2p/3) k
o
?
?
?
?
?
?
Page 4


Reviewofd-q-oTransformation
d-q-oTransformation
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
= [C
P
]
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
[C
P
] =
?
?
?
?
?
?
k
d
cos? k
q
sin? k
o
k
d
cos(?- 2p/3) k
q
sin(?- 2p/3) k
o
k
d
cos(? + 2p/3) k
q
sin(? + 2p/3) k
o
?
?
?
?
?
?
InverseTransformation
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
= [C
P
]
-1
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
Page 5


Reviewofd-q-oTransformation
d-q-oTransformation
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
= [C
P
]
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
[C
P
] =
?
?
?
?
?
?
k
d
cos? k
q
sin? k
o
k
d
cos(?- 2p/3) k
q
sin(?- 2p/3) k
o
k
d
cos(? + 2p/3) k
q
sin(? + 2p/3) k
o
?
?
?
?
?
?
InverseTransformation
?
?
?
?
?
?
f
d
f
q
f
o
?
?
?
?
?
?
= [C
P
]
-1
?
?
?
?
?
?
f
a
f
b
f
c
?
?
?
?
?
?
[C
P
]
-1
=
?
?
?
?
?
?
k
1
cos? k
1
cos(?- 2p/3) k
1
cos(? + 2p/3)
k
2
sin? k
2
sin(?- 2p/3) k
2
sin(? + 2p/3)
k
3
k
3
k
3
?
?
?
?
?
?
k
1
=
2
3k
d
,k
2
=
2
3k
q
,k
3
=
1
3k
o
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