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Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials
Yang, Kehu1; Zhang, Qi1; Yuan, Ruyi2; Yu, Wensheng3; Yuan, Jiaxin4; Wang, Jin5
Source PublicationIEEE TRANSACTIONS ON POWER ELECTRONICS
2016-04-01
Volume31Issue:4Pages:2742-2752
SubtypeArticle
AbstractSelective harmonic elimination (SHE) technology has been widely used in many medium- and high-power converters which operates at very low switching frequency; however, it is still a challenging work to solve the switching angles from a group of nonlinear transcendental equations, especially for the multilevel converters. Based on the Groebner bases and symmetric polynomial theory, an algebraic method is proposed for SHE. The SHE equations are transformed to an equivalent canonical system which consists of a univariate high-order equations and a group of univariate linear equations, thus the solving procedure is simplified dramatically. In order to solve the final solutions from the definition of the elementary symmetric polynomials, a univariate polynomial equation is constructed according to the intermediate solutions and two criteria are given to check whether the results are true or not. Unlike the commonly used numerical and random searching methods, this method has no requirement on choosing initial values and can find all the solutions. Compared with the existing algebraic methods, such as the resultant elimination method, the calculation efficiency is improved, and the maximum solvable switching angles is nine. Experiments on three-phase two-level and 13-level inverters verify the correctness of the switching angles solved by the proposed method.
KeywordConverter Groebner Bases Inverter Multilevel Selective Harmonic Elimination (She) Symmetric Polynomial
WOS HeadingsScience & Technology ; Technology
DOI10.1109/TPEL.2015.2447555
WOS KeywordPULSE-WIDTH MODULATION ; VOLTAGE-SOURCE CONVERTERS ; MULTILEVEL INVERTERS ; WAVE-FORMS ; MULTIPLE SOLUTIONS ; PWM ; FORMULATION ; EQUATIONS ; STRATEGY ; COMPENSATION
Indexed BySCI
Language英语
Funding OrganizationNational Natural Science Foundation of China(51107144 ; Beijing Higher Education Young Elite Teacher Project(YETP0938) ; Fundamental Research Funds for Central Universities(2009QJ12) ; 61370176)
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000365953100006
Citation statistics
Cited Times:33[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/10530
Collection综合信息系统研究中心
Affiliation1.China Univ Min & Technol, Sch Mech Elect & Informat Engn, Beijing 100083, Peoples R China
2.Chinese Acad Sci, Integrated Informat Syst Res Ctr, Inst Automat, Beijing 100190, Peoples R China
3.Beijing Univ Posts & Telecommun, Sch Elect Engn, Beijing 100876, Peoples R China
4.Wuhan Univ, Sch Elect Engn, Wuhan 430072, Peoples R China
5.Ohio State Univ, Dept Elect & Comp Engn, Columbus, OH 43210 USA
Recommended Citation
GB/T 7714
Yang, Kehu,Zhang, Qi,Yuan, Ruyi,et al. Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials[J]. IEEE TRANSACTIONS ON POWER ELECTRONICS,2016,31(4):2742-2752.
APA Yang, Kehu,Zhang, Qi,Yuan, Ruyi,Yu, Wensheng,Yuan, Jiaxin,&Wang, Jin.(2016).Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials.IEEE TRANSACTIONS ON POWER ELECTRONICS,31(4),2742-2752.
MLA Yang, Kehu,et al."Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials".IEEE TRANSACTIONS ON POWER ELECTRONICS 31.4(2016):2742-2752.
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