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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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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.

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Authors and Affiliations

  1. Department of Mathematics and Computing Science, Hengyang Normal University, Hengyang, China

    Xiaojiao Tong

  2. School of Science, Hangzhou Dianzi University, Hangzhou, 310037, China

    Chen Ling

  3. Department of Mathematics, National Cheng Kung University/National Center for Theoretical Sciences, Tainan, Taiwan

    Soon-Yi Wu

  4. Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Liqun Qi

Authors
  1. Xiaojiao Tong
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  2. Chen Ling
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  3. Soon-Yi Wu
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  4. Liqun Qi
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Correspondence to Soon-Yi Wu.

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Tong, X., Ling, C., Wu, SY. et al. Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults. J Glob Optim 55, 813–830 (2013). https://doi.org/10.1007/s10898-011-9812-0

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  • DOI: https://doi.org/10.1007/s10898-011-9812-0

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