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Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks

Author

Listed:
  • Baljinnyam Sereeter

    (Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

  • Kees Vuik

    (Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

  • Cees Witteveen

    (Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands)

Abstract

Two mismatch functions (power or current) and three coordinates (polar, Cartesian and complex form) result in six versions of the Newton–Raphson method for the solution of power flow problems. In this paper, five new versions of the Newton power flow method developed for single-phase problems in our previous paper are extended to three-phase power flow problems. Mathematical models of the load, load connection, transformer, and distributed generation (DG) are presented. A three-phase power flow formulation is described for both power and current mismatch functions. Extended versions of the Newton power flow method are compared with the backward-forward sweep-based algorithm. Furthermore, the convergence behavior for different loading conditions, R / X ratios, and load models, is investigated by numerical experiments on balanced and unbalanced distribution networks. On the basis of these experiments, we conclude that two versions using the current mismatch function in polar and Cartesian coordinates perform the best for both balanced and unbalanced distribution networks.

Suggested Citation

  • Baljinnyam Sereeter & Kees Vuik & Cees Witteveen, 2017. "Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks," Energies, MDPI, vol. 10(10), pages 1-20, October.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:10:p:1658-:d:115823
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    Citations

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    Cited by:

    1. Zain Anwer Memon & Riccardo Trinchero & Yanzhao Xie & Flavio G. Canavero & Igor S. Stievano, 2020. "An Iterative Scheme for the Power-Flow Analysis of Distribution Networks based on Decoupled Circuit Equivalents in the Phasor Domain," Energies, MDPI, vol. 13(2), pages 1-16, January.
    2. Harshavardhan Palahalli & Paolo Maffezzoni & Giambattista Gruosso, 2021. "Gaussian Copula Methodology to Model Photovoltaic Generation Uncertainty Correlation in Power Distribution Networks," Energies, MDPI, vol. 14(9), pages 1-16, April.
    3. Hakim Bennani & Ahmed Chebak & Abderrazak El Ouafi, 2023. "Unique Symbolic Factorization for Fast Contingency Analysis Using Full Newton–Raphson Method," Energies, MDPI, vol. 16(11), pages 1-17, May.
    4. Chi-Thang Phan-Tan & Martin Hill, 2020. "Efficient Unbalanced Three-Phase Network Modelling for Optimal PV Inverter Control," Energies, MDPI, vol. 13(11), pages 1-14, June.
    5. Baljinnyam Sereeter & Werner van Westering & Cornelis Vuik & Cees Witteveen, 2019. "Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network," Energies, MDPI, vol. 12(21), pages 1-15, October.
    6. Anuwat Chanhome & Surachai Chaitusaney, 2021. "A Modification of Newton–Raphson Power Flow for Using in LV Distribution System," Energies, MDPI, vol. 14(22), pages 1-19, November.
    7. Maria Eliza Kootte & Cornelis Vuik, 2021. "Steady-State Stand-Alone Power Flow Solvers for Integrated Transmission-Distribution Networks: A Comparison Study and Numerical Assessment," Energies, MDPI, vol. 14(18), pages 1-19, September.
    8. Konstantinos Kotsalos & Ismael Miranda & Nuno Silva & Helder Leite, 2019. "A Horizon Optimization Control Framework for the Coordinated Operation of Multiple Distributed Energy Resources in Low Voltage Distribution Networks," Energies, MDPI, vol. 12(6), pages 1-27, March.

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