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A Galerkin Method-Based Polynomial Approximation for Parametric Problems in Power System Transient Analysis
Xia,Bingqing1; Wu,Hao1; Qiu,Yiwei2,3; Lou,Boliang4; Song,Yonghua3,5
2018-11-02
Source PublicationIEEE Transactions on Power Systems
ISSN0885-8950
Volume34Issue:2Pages:1620-1629
Abstract

Parametric problems in the transient analysis refer to the investigations of the relationship between parameters and dynamic behavior. To solve parametric problems, we propose a Galerkin method-based polynomial approximation. The proposed method uses a series of polynomials combined with coefficients to approximately represent state variables with parameters, where the Galerkin method is introduced to determine the coefficients. Thereby, the relationship between parameters and dynamic behavior is established through the polynomial expressions. Because models in power system transient analysis are a set of complicated differential-algebraic equations, practical issues related to the non-polynomial model terms, parameterization of initial operation point are discussed in this paper. The proposed method is tested on a three-machine system and the IEEE 145-bus test system. The case studies show that compared to trajectory sensitivities, the proposed method can maintain high accuracy in cases of large parameter variations and strong non-linearity. We also illustrate that the validity of the proposed method for parametric problems like trajectory approximation, finding the critical parameter values and uncertainty quantification.

KeywordGalerkin Method Parametric Problems Polynomial Approximation Power System Transient Analysis
DOI10.1109/TPWRS.2018.2879367
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000459509400071
Scopus ID2-s2.0-85056152850
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Cited Times [WOS]:11   [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, Zhejiang,310027,China
2.Department of Electrical Engineering,Tsinghua University,Beijing,100084,China
3.College of Electrical Engineering,Zhejiang University,Hangzhou,310027,China
4.State Grid Zhejiang Electric Power Research Institute,Hangzhou,310014,China
5.Department of Electrical and Computer Engineering,University of Macau,Macau,999078,China
Recommended Citation
GB/T 7714
Xia,Bingqing,Wu,Hao,Qiu,Yiwei,et al. A Galerkin Method-Based Polynomial Approximation for Parametric Problems in Power System Transient Analysis[J]. IEEE Transactions on Power Systems,2018,34(2):1620-1629.
APA Xia,Bingqing,Wu,Hao,Qiu,Yiwei,Lou,Boliang,&Song,Yonghua.(2018).A Galerkin Method-Based Polynomial Approximation for Parametric Problems in Power System Transient Analysis.IEEE Transactions on Power Systems,34(2),1620-1629.
MLA Xia,Bingqing,et al."A Galerkin Method-Based Polynomial Approximation for Parametric Problems in Power System Transient Analysis".IEEE Transactions on Power Systems 34.2(2018):1620-1629.
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