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

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3 - phase<br />

(St. Frame)<br />

50 Hz<br />

⇒<br />

2 - phase<br />

(St. Frame)<br />

50 Hz<br />

⇒<br />

2 - phase<br />

(rotating.<br />

Frame at ω S )<br />

D. C<br />

⎡dr<br />

⎢<br />

⎢<br />

qr<br />

⎢⎣<br />

0<br />

⎤<br />

⎥<br />

⎥<br />

⎥⎦<br />

=<br />

2<br />

3<br />

⎡ cosθ<br />

S<br />

⎢<br />

⎢<br />

− sinθ<br />

S<br />

⎢⎣<br />

1 2<br />

cos<br />

− sin<br />

( θ − 2π<br />

3) cos( θ + 2π<br />

3)<br />

s<br />

( θ − 2π<br />

3) − sin( θ + 2π<br />

3)<br />

s<br />

1 2<br />

1 2<br />

s<br />

s<br />

⎤⎡a⎤<br />

⎥⎢<br />

⎥<br />

⎥⎢<br />

b<br />

⎥<br />

⎥⎦<br />

⎢⎣<br />

c⎥⎦<br />

Application <strong>of</strong> <strong>Power</strong> Electronics in <strong>Power</strong> Systems<br />

B. G. <strong>Fernandes</strong><br />

122/454

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