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Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults

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  • Xiaojiao Tong
  • Chen Ling
  • Soon-Yi Wu
  • Liqun Qi

Abstract

This paper presents a new nonlinear programming problem arising in the control of power systems, called optimal power flow with transient stability constraint and variable clearing time of faults and abbreviated as OTS-VT. The OTS-VT model is converted into a implicit generalized semi-infinite programming (GSIP) problem. According to the special box structure of the reformulated GSIP, a solution method based on bi-level optimization is proposed. The research in this paper has two contributions. Firstly, it generalizes the OTS study to general optimal power flow with transient stability problems. From the viewpoint of practical applications, the proposed research can improve the decision-making ability in power system operations. Secondly, the reformulation of OTS-VT also provides a new background and a type of GSIP in the research of mathematical problems. Numerical results for two chosen power systems show that the methodology presented in this paper is effective and promising. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Xiaojiao Tong & Chen Ling & Soon-Yi Wu & Liqun Qi, 2013. "Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults," Journal of Global Optimization, Springer, vol. 55(4), pages 813-830, April.
    • Handle: RePEc:spr:jglopt:v:55:y:2013:i:4:p:813-830
    DOI: 10.1007/s10898-011-9812-0
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    References listed on IDEAS

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    1. Xiaojiao Tong & Soon-Yi Wu & Renjun Zhou, 2010. "New approach for the nonlinear programming with transient stability constraints arising from power systems," Computational Optimization and Applications, Springer, vol. 45(3), pages 495-520, April.
    2. Dong-Hui Li & Liqun Qi & Judy Tam & Soon-Yi Wu, 2004. "A Smoothing Newton Method for Semi-Infinite Programming," Journal of Global Optimization, Springer, vol. 30(2), pages 169-194, November.
    3. J. J. Ye & S. Y. Wu, 2008. "First Order Optimality Conditions for Generalized Semi-Infinite Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 419-434, May.
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