Study on fuzzy load flow with consideration of wind generation uncertainties

In this paper, the probability theory and fuzzy sets theory were employed to carry out the studies on power system load flow analysis with consideration of wind generation uncertainties. Based on the Possibility/Probability Consistency Principle, the original measurement based wind speed probability density distribution was transformed to the wind speed possibility distribution firstly. The fuzzy model of power output from squirrel cage induction generator (SCIG) was then built in accordance with a simplified power-speed curve of SCIG. The proposed fuzzy model was linearized further for simplicity. And the sensitivity analysis based method was employed to carry out and obtain the possibility distribution of fuzzy load flow solutions. The modified IEEE 14-bus system was used as benchmark to carry out the case studies. Numerical results have demonstrated the validity and effectiveness of the proposed model and method.