Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
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Probabilistic Model of Wind Farms, Contd.<br />
•Probabilistic distribution of the active power generated by<br />
WT<br />
F(<br />
P<br />
w<br />
w<br />
)<br />
f ( P )<br />
=<br />
=<br />
v<br />
v<br />
ci<br />
∫<br />
co<br />
F<br />
'<br />
f ( v)<br />
dv +<br />
( P<br />
w<br />
)<br />
=<br />
Pw<br />
−k<br />
k<br />
∫<br />
v<br />
1<br />
ci<br />
2<br />
k ⎛ P<br />
⎜<br />
k1c<br />
⎝<br />
f ( v)<br />
dv<br />
w<br />
−<br />
k1v<br />
k c<br />
1<br />
co<br />
⋅ exp<br />
•Probabilistic distribution of the reactive power absorbed<br />
by WT<br />
−<br />
k<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
k −1<br />
⎡ ⎛ P<br />
⎢−<br />
⎜<br />
⎢⎣<br />
⎝<br />
w<br />
−<br />
k1v<br />
k c<br />
1<br />
co<br />
−<br />
k<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
k<br />
⎤<br />
⎥<br />
⎥⎦<br />
f ( Q ) = tan θ<br />
w<br />
w<br />
⋅<br />
k<br />
k c<br />
1<br />
⎛<br />
⎜<br />
⎝<br />
P<br />
w<br />
−<br />
k1v<br />
k c<br />
1<br />
co<br />
−<br />
k<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
k −1<br />
⋅exp<br />
⎡ ⎛<br />
⎢−<br />
⎜<br />
⎢⎣<br />
⎝<br />
P<br />
w<br />
−<br />
k1v<br />
k c<br />
1<br />
co<br />
−<br />
k<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
k<br />
⎤<br />
⎥<br />
⎥⎦