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An Asymptotic Numerical Continuation Power Flow to Cope with Non-Smooth Issue

Author

Listed:
  • Yan Huang

    (College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, China)

  • Yuntao Ju

    (College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, China)

  • Zeping Zhu

    (College of Information and Electrical Engineering, China Agricultural University, Haidian District, Beijing 100083, China)

Abstract

Continuation power flow (CPF) calculation is very important for analyzing voltage stability of power system. CPF calculation needs to deal with non-smooth constraints such as the generator buses reactive power limits. It is still a technical challenge to determine the step size while dealing with above non-smooth constraints in CPF calculation. In this paper, an asymptotic numerical method (ANM) based on Fischer‐Burmeister (FB) function, is proposed to calculate CPF. We first used complementarity constraints to cope with non-smooth issues and introduced the FB function to formulate the complementarity constraints. Meanwhile, we introduced new variables for substitution to meet the quadratic function requirements of ANM. Compared with the conventional predictor-corrector method combining with heuristic PV-PQ (PV and PQ are used to describe bus types. PV means that the active power and voltage of the bus are known. PQ means that the active and reactive power of bus are known.) bus type switching, ANM can effectively solve the PV-PQ bus type switching problem in CPF calculation. Furthermore, to assure high efficiency, ANM can rapidly approach the voltage collapse point by self-adaptive step size adjustment and constant Jacobian matrix used for power series expansion. However, conventional CPF needs proper step set in advance and calculates Jacobian matrix for each iteration. Numerical tests on a nine-bus network and a 182-bus network validate that the proposed method is more robust than existing methods.

Suggested Citation

  • Yan Huang & Yuntao Ju & Zeping Zhu, 2019. "An Asymptotic Numerical Continuation Power Flow to Cope with Non-Smooth Issue," Energies, MDPI, vol. 12(18), pages 1-17, September.
  • Handle: RePEc:gam:jeners:v:12:y:2019:i:18:p:3493-:d:266022
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    Cited by:

    1. Hyun-Tae Kim & Jungju Lee & Myungseok Yoon & Moon-Jeong Lee & Namhun Cho & Sungyun Choi, 2020. "Continuation Power Flow Based Distributed Energy Resource Hosting Capacity Estimation Considering Renewable Energy Uncertainty and Stability in Distribution Systems," Energies, MDPI, vol. 13(17), pages 1-16, August.
    2. Cristina Coutinho de Oliveira & Alfredo Bonini Neto & Dilson Amancio Alves & Carlos Roberto Minussi & Carlos Alberto Castro, 2023. "Alternative Current Injection Newton and Fast Decoupled Power Flow," Energies, MDPI, vol. 16(6), pages 1-17, March.

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