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

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Probabilistic Model of Wind Farms<br />

• Probabilistic model of the wind speed<br />

Weibull distribution is the best pdf for the description<br />

of a wind speed<br />

1<br />

k ⎛ v − v ⎡<br />

0 ⎞ ⎛ v − v0<br />

f ( v)<br />

= ⎜ ⎟ exp ⎢−<br />

⎜<br />

c ⎝ c ⎠ ⎢⎣<br />

⎝ c<br />

k − k<br />

where, v is wind speed<br />

v 0<br />

is cut-out speed<br />

k is shape parameter<br />

c is scale parameter<br />

⎞<br />

⎟<br />

⎠<br />

⎤<br />

⎥<br />

⎥⎦<br />

*<br />

L. Dong, W. Cheng, H. Bao and Y. Yang, “Probabilistic Load Flow analysis for<br />

power system containing wind farms”, IEEE 2010

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