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An Optimal Power Flow Algorithm for the Simulation of Energy Storage Systems in Unbalanced Three-Phase Distribution Grids

Author

Listed:
  • Lukas Held

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany)

  • Felicitas Mueller

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany
    These authors contributed equally to this work.)

  • Sina Steinle

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany
    These authors contributed equally to this work.)

  • Mohammed Barakat

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany)

  • Michael R. Suriyah

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany)

  • Thomas Leibfried

    (Institute of Electric Energy Systems and High-Voltage Technology, Karlsruhe Institute of Technology, Engesserstrasse 11, 76131 Karlsruhe, Germany)

Abstract

An optimal power flow algorithm for unbalanced three-phase distribution grids is presented in this paper as a new tool for grid planning on low voltage level. As additional equipment like electric vehicles, heat pumps or solar power systems can sometimes cause unbalanced power flows, existing algorithms have to be adapted. In comparison to algorithms considering balanced power flows, the presented algorithm uses a complete model of a three-phase four-wire low voltage grid. Additionally, a constraint for the voltage unbalance in the grid is introduced. The algorithm can be used to optimize the operation of energy storage systems in unbalanced systems. The used grid model, constraints, objective function and solver are explained in detail. A validation of the algorithm using a commercial tool is done. Additionally, three exemplary optimizations are performed to show possible applications for this tool.

Suggested Citation

  • Lukas Held & Felicitas Mueller & Sina Steinle & Mohammed Barakat & Michael R. Suriyah & Thomas Leibfried, 2021. "An Optimal Power Flow Algorithm for the Simulation of Energy Storage Systems in Unbalanced Three-Phase Distribution Grids," Energies, MDPI, vol. 14(6), pages 1-34, March.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:6:p:1623-:d:517057
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    References listed on IDEAS

    as
    1. Johanna Geis-Schroer & Sebastian Hubschneider & Lukas Held & Frederik Gielnik & Michael Armbruster & Michael Suriyah & Thomas Leibfried, 2021. "Modeling of German Low Voltage Cables with Ground Return Path," Energies, MDPI, vol. 14(5), pages 1-34, February.
    2. Han Huang & Shiyan Hu & Dariusz Czarkowski, 2007. "Programmed PWM to improve power quality in systems with distributed generation units," International Journal of Energy Technology and Policy, Inderscience Enterprises Ltd, vol. 5(2), pages 204-218.
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    Cited by:

    1. Gianfranco Chicco & Andrea Mazza & Salvatore Musumeci & Enrico Pons & Angela Russo, 2022. "Editorial for the Special Issue “Verifying the Targets—Selected Papers from the 55th International Universities Power Engineering Conference (UPEC 2020)”," Energies, MDPI, vol. 15(15), pages 1-8, August.
    2. Zbigniew Olczykowski, 2021. "Electric Arc Furnaces as a Cause of Current and Voltage Asymmetry," Energies, MDPI, vol. 14(16), pages 1-18, August.
    3. Diego Jose da Silva & Edmarcio Antonio Belati & Jesús M. López-Lezama, 2023. "A Mathematical Programming Approach for the Optimal Operation of Storage Systems, Photovoltaic and Wind Power Generation," Energies, MDPI, vol. 16(3), pages 1-24, January.
    4. Zongjie Wang & C. Lindsay Anderson, 2021. "A Progressive Period Optimal Power Flow for Systems with High Penetration of Variable Renewable Energy Sources," Energies, MDPI, vol. 14(10), pages 1-17, May.

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