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Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies

Author

Listed:
  • Josh Schipper

    (Electric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New Zealand)

  • Sharee McNab

    (Electric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New Zealand)

  • Yuyin Kueh

    (Orion New Zealand Limited, Christchurch 8053, New Zealand)

  • Radnya Mukhedkar

    (Electric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New Zealand)

Abstract

Power flow solvers typically start from an initial point of power injection. This paper constructs a system of multiple initial points (SMIP) to enable selection of an appropriate initial point, with the objective to achieve a balanced improvement in the solution speed and accuracy, for problems with a large number of power flows. The intent is to recover time cost of forming the SMIP through the improvements to each power flow. The SMIP is tested on a time series based Monte Carlo study of Electric Vehicle (EV) hosting capacity in a low voltage distribution network, which has 5.4 million power flows. SMIP is applied to two power flow solvers: a Taylor series approximation and a Z-bus method. The accuracy of the quadratic Taylor series approximation was improved by a factor of 30 with a 27% increase in the solve time when compared against a single no-load initial point. A Z-bus solver with SMIP, limited to two iterations, gave the best performance for the EV hosting capacity case study.

Suggested Citation

  • Josh Schipper & Sharee McNab & Yuyin Kueh & Radnya Mukhedkar, 2022. "Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies," Energies, MDPI, vol. 15(19), pages 1-27, September.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:19:p:7141-:d:928202
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    References listed on IDEAS

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    1. Shepero, Mahmoud & Munkhammar, Joakim, 2018. "Spatial Markov chain model for electric vehicle charging in cities using geographical information system (GIS) data," Applied Energy, Elsevier, vol. 231(C), pages 1089-1099.
    2. Muhammad Naveed Iqbal & Lauri Kütt & Kamran Daniel & Bilal Asad & Payam Shams Ghahfarokhi, 2021. "Estimation of Harmonic Emission of Electric Vehicles and Their Impact on Low Voltage Residential Network," Sustainability, MDPI, vol. 13(15), pages 1-17, July.
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