Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies
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 wit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/15/19/7141 |
| _version_ | 1827654616717721600 |
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| author | Josh Schipper Sharee McNab Yuyin Kueh Radnya Mukhedkar |
| author_facet | Josh Schipper Sharee McNab Yuyin Kueh Radnya Mukhedkar |
| author_sort | Josh Schipper |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T21:47:32Z |
| format | Article |
| id | doaj.art-fabe9a00ead24e7880ec98350eb6a78b |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T21:47:32Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-fabe9a00ead24e7880ec98350eb6a78b2023-11-23T20:13:51ZengMDPI AGEnergies1996-10732022-09-011519714110.3390/en15197141Multiple Initial Point Approach to Solving Power Flows for Monte Carlo StudiesJosh Schipper0Sharee McNab1Yuyin Kueh2Radnya Mukhedkar3Electric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New ZealandElectric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New ZealandOrion New Zealand Limited, Christchurch 8053, New ZealandElectric Power Engineering Centre (EPECentre), University of Canterbury, Christchurch 8041, New ZealandPower 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.https://www.mdpi.com/1996-1073/15/19/7141power-flowapproximation theoryelectric vehicle chargingdistribution networksMonte Carlo |
| spellingShingle | Josh Schipper Sharee McNab Yuyin Kueh Radnya Mukhedkar Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies Energies power-flow approximation theory electric vehicle charging distribution networks Monte Carlo |
| title | Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies |
| title_full | Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies |
| title_fullStr | Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies |
| title_full_unstemmed | Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies |
| title_short | Multiple Initial Point Approach to Solving Power Flows for Monte Carlo Studies |
| title_sort | multiple initial point approach to solving power flows for monte carlo studies |
| topic | power-flow approximation theory electric vehicle charging distribution networks Monte Carlo |
| url | https://www.mdpi.com/1996-1073/15/19/7141 |
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