A Unified and Efficient Approach to Power Flow Analysis
Highly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An it...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-06-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/12/12/2425 |
| _version_ | 1811264246545121280 |
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| author | HyungSeon Oh |
| author_facet | HyungSeon Oh |
| author_sort | HyungSeon Oh |
| collection | DOAJ |
| description | Highly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An iterative Newton-Raphson method is widely in use. While most times this method finds a solution in a reasonable time, it often involves numerical robustness issues, such as a limited convergence region and an ill-conditioned system. Sometimes, the truncation error may not be small enough to ignore, which can make the iterative process significantly expansive. We propose a new unified framework, based on the Kronecker product, that does not involve any truncation, and which is bilinear to make it possible to incorporate statistical analysis. The proposed method is tested for power flow, state estimation, probabilistic power flow, and optimal power flow studies on various IEEE model systems. |
| first_indexed | 2024-04-12T20:00:43Z |
| format | Article |
| id | doaj.art-0edc2f29deb34e28b0103b1b261a1a62 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-12T20:00:43Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-0edc2f29deb34e28b0103b1b261a1a622022-12-22T03:18:32ZengMDPI AGEnergies1996-10732019-06-011212242510.3390/en12122425en12122425A Unified and Efficient Approach to Power Flow AnalysisHyungSeon Oh0Department of Electrical and Computer Engineering, United States Naval Academy; Annapolis, MD 21402, USAHighly nonlinear and nonconvex power flow analysis plays a key role in the monitoring, control, and operation of power systems. There is no analytic solution to power flow problems, and therefore, finding a numerical solution is oftentimes an aim of modern computation in power system analysis. An iterative Newton-Raphson method is widely in use. While most times this method finds a solution in a reasonable time, it often involves numerical robustness issues, such as a limited convergence region and an ill-conditioned system. Sometimes, the truncation error may not be small enough to ignore, which can make the iterative process significantly expansive. We propose a new unified framework, based on the Kronecker product, that does not involve any truncation, and which is bilinear to make it possible to incorporate statistical analysis. The proposed method is tested for power flow, state estimation, probabilistic power flow, and optimal power flow studies on various IEEE model systems.https://www.mdpi.com/1996-1073/12/12/2425Kronecker productpower flow analysisalternating least square problem |
| spellingShingle | HyungSeon Oh A Unified and Efficient Approach to Power Flow Analysis Energies Kronecker product power flow analysis alternating least square problem |
| title | A Unified and Efficient Approach to Power Flow Analysis |
| title_full | A Unified and Efficient Approach to Power Flow Analysis |
| title_fullStr | A Unified and Efficient Approach to Power Flow Analysis |
| title_full_unstemmed | A Unified and Efficient Approach to Power Flow Analysis |
| title_short | A Unified and Efficient Approach to Power Flow Analysis |
| title_sort | unified and efficient approach to power flow analysis |
| topic | Kronecker product power flow analysis alternating least square problem |
| url | https://www.mdpi.com/1996-1073/12/12/2425 |
| work_keys_str_mv | AT hyungseonoh aunifiedandefficientapproachtopowerflowanalysis AT hyungseonoh unifiedandefficientapproachtopowerflowanalysis |