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[1]杨克虎,唐欣,张奇,等.阶梯波多电平变换器特定谐波消除的完全解[J].电机与控制学报,2017,21(02):26-34.[doi:10.15938/j.emc.2017.02.004]
 YANGKe-hu TANG Xin,ZHANG Qi,YUWen-sheng.Complete solutions for selective harmonic elimination problem of multilevel staircase converter [J].,2017,21(02):26-34.[doi:10.15938/j.emc.2017.02.004]
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阶梯波多电平变换器特定谐波消除的完全解(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
21
期数:
2017年02
页码:
26-34
栏目:
出版日期:
2017-02-01

文章信息/Info

Title:
Complete solutions for selective harmonic elimination problem of multilevel staircase converter

作者:
?杨克虎唐欣张奇郁文生
?(1.中国矿业大学(北京),机电与信息工程学院,北京100083;2.北京邮电大学电子工程学院,北京100876)
Author(s):
YANGKe-hu1 TANG Xin1 ZHANG Qi1 YUWen-sheng2
?(1. School of Mechanical Electronic and Information Engineering China University of Mining and Technology ( Beijing) Beijing 100083,China; 2. School of Electronics Engineering Beijing University of Posts and Telecommunications Beijing 100876,China)

关键词:
特定谐波消除 阶梯波 多电平变换器 Groebnei基 对称多项式
Keywords:
selective harmonic elimination staircase multilevel converter Groebner bases symmetric polynomial
分类号:
TM 464
DOI:
10.15938/j.emc.2017.02.004
文献标志码:
A
摘要:
针对数值算法和智能算法在求解阶梯波多电平变换器特定谐波消除问题时存在初值选取困难且只能求得部分解的问题,依据Groebnei基和对称多项式理论的代数算法,将多元高次多项式方程组的求解转化为一元高次多项式方程和线性方程组的求解,给出了无需选取初值且能得出方程组的所有解的求解方法。与目前已有的其他代数算法(例如结式消元法、吴方法)相比,所能求解的开关点数大幅提升。给出了三相1 3电平阶梯波变换器在全调制比范围内开关角度的所有解,并通过实验对解的正确性进行了验证。
Abstract:
The numerical and intelligent algorithms require initial values to solve the selective harmonic elimination problem, and usu^ly can only find partial solutions. In order to solve this problem, a complete algoritlim which is based on the Groebner bases and the symmetric polynomial tlie〇 r is proposed. The sys-tem of multiuariable polynomial equations of higher degree equations are converted to a univariate high or-der polynomial equation plus a group of linear equations, which simplifies the solving procedure dramatic-ally. Comparing with the other existing complete algorithms such as the resultant elimination or the Wumethod, the maximum solvable number of switching angles is increased significantly. For the case of three-phase thirteen-level staircase converter, all the solutions in the full range of modulation index are given, and the experimental results verify the correctness of the solved solutions.



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备注/Memo

备注/Memo:
收稿日期:2014-12-28
基金项目:国家自然科学基金(51107144,61370176,610210040);北京高等学校青年英才计划项目(YETP938)
作者简介:杨克虎(1982—男,博士,副教授,研究方向为大功率电力电子变换器建模与控制、特定谐波消除脉宽调制技术;
唐欣(1992—),女,硕士研究生,研究方向为大功率单相PWM整流器、特定谐波消除脉宽调制技术;
张奇(1991—),男,硕士研究生,研究方向为多电平变换器、谐波控制;
郁文生(1967—),男,博士,教授,研究方向为计算机代数、最优化控制方法。
更新日期/Last Update: 2017-03-30