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A Unified and Efficient Approach to Power Flow Analysis

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  • HyungSeon Oh

    (Department of Electrical and Computer Engineering, United States Naval Academy; Annapolis, MD 21402, USA)

Abstract

Highly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An iterative Newton-Raphson method is widely in use. While most times this method finds a solution in a reasonable time, it often involves numerical robustness issues, such as a limited convergence region and an ill-conditioned system. Sometimes, the truncation error may not be small enough to ignore, which can make the iterative process significantly expansive. We propose a new unified framework, based on the Kronecker product, that does not involve any truncation, and which is bilinear to make it possible to incorporate statistical analysis. The proposed method is tested for power flow, state estimation, probabilistic power flow, and optimal power flow studies on various IEEE model systems.

Suggested Citation

  • HyungSeon Oh, 2019. "A Unified and Efficient Approach to Power Flow Analysis," Energies, MDPI, vol. 12(12), pages 1-20, June.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:12:p:2425-:d:242476
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    References listed on IDEAS

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    1. Prusty, B Rajanarayan & Jena, Debashisha, 2017. "A critical review on probabilistic load flow studies in uncertainty constrained power systems with photovoltaic generation and a new approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 1286-1302.
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    Cited by:

    1. HyungSeon Oh, 2021. "Distributed optimal power flow," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-27, June.
    2. Vedik Basetti & Shriram S. Rangarajan & Chandan Kumar Shiva & Sumit Verma & Randolph E. Collins & Tomonobu Senjyu, 2021. "A Quasi-Oppositional Heap-Based Optimization Technique for Power Flow Analysis by Considering Large Scale Photovoltaic Generator," Energies, MDPI, vol. 14(17), pages 1-16, August.

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