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Global optimal polynomial approximation for parametric problems in power systems
Zhou,Yongzhi1; Wu,Hao1; Gu,Chenghong2; Song,Yonghua1,3
2018-12-21
Source PublicationJournal of Modern Power Systems and Clean Energy
ISSN2196-5625
Volume7Issue:3Pages:500-511
Abstract

The influence of parameters on system states for parametric problems in power systems is to be evaluated. These parameters could be renewable generation outputs, load factor, etc. Polynomial approximation has been applied to express the nonlinear relationship between system states and parameters, governed by the nonlinear and implicit equations. Usually, sampling-based methods are applied, e.g., data fitting methods and sensitivity methods, etc. However, the accuracy and stability of these methods are not guaranteed. This paper proposes an innovative method based on Galerkin method, providing global optimal approximation. Compared to traditional methods, this method enjoys high accuracy and stability. IEEE 9-bus system is used to illustrate its effectiveness, and two additional studies including a 1648-bus system are performed to show its applications to power system analysis.

KeywordGalerkin Method Global Approximation Load Flow Problems Optimal Approximation Parametric Problems Polynomial Approximation
DOI10.1007/s40565-018-0469-2
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000467638700006
Scopus ID2-s2.0-85065591156
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Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorWu,Hao
Affiliation1.College of Electrical Engineering,Zhejiang University,Hangzhou,China
2.Department of Electrical and Electronics Engineering,University of Bath,Bath,United Kingdom
3.Department of Electrical and Computer Engineering,University of Macau,China
Recommended Citation
GB/T 7714
Zhou,Yongzhi,Wu,Hao,Gu,Chenghong,et al. Global optimal polynomial approximation for parametric problems in power systems[J]. Journal of Modern Power Systems and Clean Energy,2018,7(3):500-511.
APA Zhou,Yongzhi,Wu,Hao,Gu,Chenghong,&Song,Yonghua.(2018).Global optimal polynomial approximation for parametric problems in power systems.Journal of Modern Power Systems and Clean Energy,7(3),500-511.
MLA Zhou,Yongzhi,et al."Global optimal polynomial approximation for parametric problems in power systems".Journal of Modern Power Systems and Clean Energy 7.3(2018):500-511.
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