BG Fernandes Department of Electrical Engineering II T - Power ...

⎡i
⎢
⎢
i
⎢⎣
i
α
β
0
⎤
⎥
⎥
⎥⎦
=
2
3
⎡
⎢
⎢
⎢⎣
1
1
0
2
−1
1
−1
2 ⎤⎡i
− 3 2
⎥⎢
⎥⎢
i
1 2 ⎥⎦
⎢⎣
i
Similarly 3-ph AC voltages ⇒ two phase voltages
3
2
2
2
a
b
c
⎤
⎥
⎥
⎥⎦
⎡e
⎢
⎢
e
⎢⎣
e
α
β
0
⎤
⎥
⎥
⎥⎦
=
2
3
⎡
⎢
⎢
⎢⎣
1
1
0
2
−1
3
1
2
2
2
−1
2 ⎤⎡v
− 3 2
⎥⎢
⎥⎢
v
1 2 ⎥⎦
⎢⎣
v
a
b
c
⎤
⎥
⎥
⎥⎦
Application of Power Electronics in Power Systems
B. G. Fernandes
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