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Power System Security Analysis With Renewable Energy ... - IIT Mandi

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RX bus model<br />

Equivalent circuit of induction generator<br />

Voltage obtained from each iteration of load flow is used to calculate the slip<br />

2 (1 −s)<br />

P m<br />

= R2<br />

⋅ I<br />

2<br />

⋅<br />

s<br />

where,<br />

I<br />

2<br />

=<br />

−<br />

Vt<br />

[( R1<br />

+ R2<br />

/ s)<br />

+ j(<br />

X1<br />

+ X<br />

2)]<br />

Once, the slip is known, power injections can be calculated<br />

P<br />

g<br />

Q<br />

g<br />

= −V<br />

t<br />

= −V<br />

t<br />

2<br />

2<br />

⋅<br />

( R<br />

1<br />

( R<br />

⋅<br />

1<br />

( R1<br />

+ R2<br />

/ s)<br />

+ R<br />

2<br />

/ s)<br />

+ ( X + X<br />

2<br />

+ R<br />

X<br />

2<br />

m<br />

/ s)<br />

⋅<br />

2<br />

1 2 m 1<br />

2<br />

2<br />

((<br />

R + R / s)<br />

+ ( X + X ) )<br />

1<br />

1<br />

+ ( X<br />

2<br />

+ X<br />

2<br />

)<br />

2<br />

) ⋅(<br />

X<br />

1<br />

+ X<br />

2<br />

+ X<br />

2<br />

)

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