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| Model Study for Determining the Wind Farm Penetration Limit Based on Corrected Energy Function and Credibility Theory |
| Bai Hao1, Zhang Pipei1, Su Jian2, Liu Haitao2, Miao Shihong1 |
1. State Key Laboratory of Advanced Electromagnetic Engineering and Technology School of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan 430074 China;
2. China Electric Power Research Institute Beijing 100192 China |
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Abstract The paper proposes the model to determine the wind farm penetration limit considering the transient stability constraints and uncertainty of wind speed. The model adopts corrected transient energy function to calculate transient stability index and put forward the transient stability constraints. The ambiguity of wind power output is represented by the credibility distribution function model of wind power forecast errors. Hence the fuzzy chance constraints are established for line capacity based on credibility theory. Finally, the fuzzy chance-constrained model is developed for determining wind farm penetration limit. Regarding the model solving, the fuzzy chance constraint is converted to the equivalent form to avoid the inefficient fuzzy simulation. Thus the proposed model can be simplified to the mixed integer linear programming model. The results of IEEE 30 bus system show the proposed model is efficient to determine wind farm penetration limit.
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Received: 03 August 2015
Published: 02 May 2017
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2017, Vol. 32 
