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Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission

Author

Listed:
  • Xiali Pang

    (College of Mathematics and Information Science, Guangxi University, Nanning 530004, China)

  • Haiyan Zheng

    (College of Mathematics and Information Science, Guangxi University, Nanning 530004, China)

  • Liying Huang

    (College of Mathematics and Information Science, Guangxi University, Nanning 530004, China)

  • Yumei Liang

    (School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China)

Abstract

This paper considers the fast and effective solving method for the unit commitment (UC) problem with wind curtailment and pollutant emission in power systems. Firstly, a suitable mixed-integer quadratic programming (MIQP) model of the corresponding UC problem is presented by some linearization techniques, which is difficult to solve directly. Then, the MIQP model is solved by the outer approximation method (OAM), which decomposes the MIQP into a mixed-integer linear programming (MILP) master problem and a nonlinear programming (NLP) subproblem for alternate iterative solving. Finally, simulation results for six systems with up to 100 thermal units and one wind unit in 24 periods are presented, which show the practicality of MIQP model and the effectiveness of OAM.

Suggested Citation

  • Xiali Pang & Haiyan Zheng & Liying Huang & Yumei Liang, 2021. "Outer Approximation Method for the Unit Commitment Problem with Wind Curtailment and Pollutant Emission," Mathematics, MDPI, vol. 9(21), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2686-:d:662673
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