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Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method

Author

Listed:
  • Bingqing Xia

    (The PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China
    The College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Hao Wu

    (The College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Wenbin Yang

    (The PowerChina Huadong Engineering Corporation Limited, Hangzhou 311122, China)

  • Lu Cao

    (The Huadong Branch of State Grid, Shanghai 200120, China)

  • Yonghua Song

    (The Department of Electrical and Computer Engineering, University of Macau, Macau, China)

Abstract

To better respond to the impact of power system-uncertain parameters on transient stability, a novel model named the parametric transient stability constrained optimal power flow (parametric TSCOPF) is proposed. It seeks the optimal control scheme of transient stability constrained optimal power flow (TSCOPF) expressed by the function of uncertain parameters in power systems. The key difficulty to solve this model lies in that the relationship between the parametric TSCOPF solution and uncertain parameters is implicit, which is hard to derive generally. To this end, this paper approximates the optimal solution of parametric TSCOPF by polynomial expressions of uncertain parameters based on the stochastic collocation method. First, the parametric TSCOPF model includes both uncertain parameters and transient stability constraints, in which the transient stability constraint is constructed as a set of polynomial expressions using the SCM. Then, to derive the relationship between the parametric TSCOPF solution and uncertain parameters, the SCM is applied to the parametric Karush–Kuhn–Tucker (KKT) conditions of the parametric TSCOPF model, so that the optimal solution of the parametric TSCOPF is approximated by using polynomial expressions with respect to uncertain parameters. The proposed parametric TSCOPF model has been tested on a 3-machine, 9-bus system, and the IEEE 145-bus system, which verifies the effectiveness of the proposed method.

Suggested Citation

  • Bingqing Xia & Hao Wu & Wenbin Yang & Lu Cao & Yonghua Song, 2022. "Parametric Transient Stability Constrained Optimal Power Flow Solved by Polynomial Approximation Based on the Stochastic Collocation Method," Energies, MDPI, vol. 15(11), pages 1-20, June.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:11:p:4127-:d:831305
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    References listed on IDEAS

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    1. Muhammad Riaz & Sadiq Ahmad & Irshad Hussain & Muhammad Naeem & Lucian Mihet-Popa, 2022. "Probabilistic Optimization Techniques in Smart Power System," Energies, MDPI, vol. 15(3), pages 1-39, January.
    2. Huang, Zhanghao & Zhang, Yachao & Xie, Shiwei, 2022. "Data-adaptive robust coordinated optimization of dynamic active and reactive power flow in active distribution networks," Renewable Energy, Elsevier, vol. 188(C), pages 164-183.
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