Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method
In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these factors (namely parameters) and power system state...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021-01-01
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| Series: | Journal of Modern Power Systems and Clean Energy |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9198225/ |
| _version_ | 1823933408768688128 |
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| author | Hao Wu Danfeng Shen Bingqing Xia Yiwei Qiu Yongzhi Zhou Yonghua Song |
| author_facet | Hao Wu Danfeng Shen Bingqing Xia Yiwei Qiu Yongzhi Zhou Yonghua Song |
| author_sort | Hao Wu |
| collection | DOAJ |
| description | In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these factors (namely parameters) and power system states (or performances). This problem, termed as parametric problem (PP) in this paper, can be solved by Galerkin method, which is a powerful and mathematically rigorous method aiming to seek an accurate explicit approximate function by projection techniques. This paper provides a review of the applications of polynomial approximation based on Galerkin method in power system PPs as well as stochastic problems. First, the fundamentals of polynomial approximation and Galerkin method are introduced. Then, the process of solving three types of typical PPs by polynomial approximation based on Galerkin method is elaborated. Finally, some application examples as well as several potential applications of power system PPs solved by Galerkin method are presented, namely the probabilistic power flow, approximation of static voltage stability region boundary, and parametric time-domain dynamic simulation. |
| first_indexed | 2024-12-16T22:05:24Z |
| format | Article |
| id | doaj.art-b534fd6fbf48436c9d691b166abbedc9 |
| institution | Directory Open Access Journal |
| issn | 2196-5420 |
| language | English |
| last_indexed | 2024-12-16T22:05:24Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | Journal of Modern Power Systems and Clean Energy |
| spelling | doaj.art-b534fd6fbf48436c9d691b166abbedc92022-12-21T22:14:29ZengIEEEJournal of Modern Power Systems and Clean Energy2196-54202021-01-019111210.35833/MPCE.2019.0005249198225Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin MethodHao Wu0Danfeng Shen1Bingqing Xia2Yiwei Qiu3Yongzhi Zhou4Yonghua Song5College of Electrical Engineering, Zhejiang University,Hangzhou,ChinaCollege of Electrical Engineering, Zhejiang University,Hangzhou,ChinaCollege of Electrical Engineering, Zhejiang University,Hangzhou,ChinaTsinghua University,Department of Electrical Engineering,Beijing,ChinaCollege of Electrical Engineering, Zhejiang University,Hangzhou,ChinaUniversity of Macau,Department of Electrical and Computer Engineering,Macau,ChinaIn power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these factors (namely parameters) and power system states (or performances). This problem, termed as parametric problem (PP) in this paper, can be solved by Galerkin method, which is a powerful and mathematically rigorous method aiming to seek an accurate explicit approximate function by projection techniques. This paper provides a review of the applications of polynomial approximation based on Galerkin method in power system PPs as well as stochastic problems. First, the fundamentals of polynomial approximation and Galerkin method are introduced. Then, the process of solving three types of typical PPs by polynomial approximation based on Galerkin method is elaborated. Finally, some application examples as well as several potential applications of power system PPs solved by Galerkin method are presented, namely the probabilistic power flow, approximation of static voltage stability region boundary, and parametric time-domain dynamic simulation.https://ieeexplore.ieee.org/document/9198225/Parametric problemstochastic problempower system analysispolynomial approximationGalerkin method |
| spellingShingle | Hao Wu Danfeng Shen Bingqing Xia Yiwei Qiu Yongzhi Zhou Yonghua Song Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method Journal of Modern Power Systems and Clean Energy Parametric problem stochastic problem power system analysis polynomial approximation Galerkin method |
| title | Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method |
| title_full | Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method |
| title_fullStr | Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method |
| title_full_unstemmed | Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method |
| title_short | Parametric Problems in Power System Analysis: Recent Applications of Polynomial Approximation Based on Galerkin Method |
| title_sort | parametric problems in power system analysis recent applications of polynomial approximation based on galerkin method |
| topic | Parametric problem stochastic problem power system analysis polynomial approximation Galerkin method |
| url | https://ieeexplore.ieee.org/document/9198225/ |
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