| Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials | |
Yang, Kehu1; Zhang, Qi1; Yuan, Ruyi2 ; Yu, Wensheng3; Yuan, Jiaxin4; Wang, Jin5
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| 发表期刊 | IEEE TRANSACTIONS ON POWER ELECTRONICS
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| 2016-04-01 | |
| 卷号 | 31期号:4页码:2742-2752 |
| 文章类型 | Article |
| 摘要 | Selective 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. |
| 关键词 | Converter Groebner Bases Inverter Multilevel Selective Harmonic Elimination (She) Symmetric Polynomial |
| WOS标题词 | Science & Technology ; Technology |
| DOI | 10.1109/TPEL.2015.2447555 |
| 关键词[WOS] | PULSE-WIDTH MODULATION ; VOLTAGE-SOURCE CONVERTERS ; MULTILEVEL INVERTERS ; WAVE-FORMS ; MULTIPLE SOLUTIONS ; PWM ; FORMULATION ; EQUATIONS ; STRATEGY ; COMPENSATION |
| 收录类别 | SCI |
| 语种 | 英语 |
| 项目资助者 | National Natural Science Foundation of China(51107144 ; Beijing Higher Education Young Elite Teacher Project(YETP0938) ; Fundamental Research Funds for Central Universities(2009QJ12) ; 61370176) |
| WOS研究方向 | Engineering |
| WOS类目 | Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000365953100006 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/10530 |
| 专题 | 综合信息系统研究中心 |
| 作者单位 | 1.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 |
| 推荐引用方式 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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| 2016 IEEE TPE Select（1044KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 | |
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