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

Josh Schipper (), Sharee McNab, Yuyin Kueh and Radnya Mukhedkar
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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

Energies, 2022, vol. 15, issue 19, 1-27

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.

Keywords: power-flow; approximation theory; electric vehicle charging; distribution networks; Monte Carlo (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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