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Fuzzy Modelling and Solution of Load Flow Incorporating Uncertainties of Wind Farm Generation |
Hong Lucheng1, Shi Libao1, Yao Liangzhong2, Masoud Bazargan2, Ni Yixin1 |
1. Graduate School at Shenzhen, National Key Laboratory of Power Systems in Shenzhen Tsinghua University Shenzhen 518055 China 2. AREVA T&D Technology Centre Stafford ST17 4LX UK |
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Abstract The intermittent and fluctuant nature of wind generation is posing great new issues and challenges to the planning and operation of interconnected power systems with high penetration of grid-connected wind farms. In this paper, the probability theory and fuzzy sets theory are employed to carry out systematic and thorough studies on power system fuzzy load flow calculation incorporating uncertainties of wind farm generation. The Weibull distribution curve with specified parameters is simulated as the wind speed probability density distribution, and with the possibility/probability consistency principle(PPCP), the wind speed probability density distribution is first transformed to the wind speed possibility distribution. In accordance with simplified power-speed curve of squirrel cage induction generator (SCIG), the fuzzy model of SCIG power output is then built. The proposed fuzzy model is linearized further for simplicity. The sensitivity analysis based method is also employed to carry out the possibility distribution of fuzzy load flow solutions. Numerical results based on a modified IEEE 14-bus system demonstrate the validity and effectiveness of the proposed models and methods.
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Received: 21 April 2009
Published: 04 March 2014
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