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Mathematical Problems in Engineering
Volume 2015, Article ID 790974, 11 pages
Research Article

Method for Determining the Maximum Allowable Capacity of Wind Farm Based on Box Set Robust Optimization

1School of Electrical Engineering, Xuchang University, Xuchang 461000, China
2School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Received 19 July 2015; Revised 16 October 2015; Accepted 18 October 2015

Academic Editor: Peng-Yeng Yin

Copyright © 2015 Lihui Guo and Hao Bai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the increasing penetration of wind power, the randomness and volatility of wind power output would have a greater impact on safety and steady operation of power system. In allusion to the uncertainty of wind speed and load demand, this paper applied box set robust optimization theory in determining the maximum allowable installed capacity of wind farm, while constraints of node voltage and line capacity are considered. Optimized duality theory is used to simplify the model and convert uncertainty quantities in constraints into certainty quantities. Under the condition of multi wind farms, a bilevel optimization model to calculate penetration capacity is proposed. The result of IEEE 30-bus system shows that the robust optimization model proposed in the paper is correct and effective and indicates that the fluctuation range of wind speed and load and the importance degree of grid connection point of wind farm and load point have impact on the allowable capacity of wind farm.