阶梯波多电平变换器特定谐波消除的完全解

发布时间：2018-01-10 09:29

本文关键词：阶梯波多电平变换器特定谐波消除的完全解　出处：《电机与控制学报》2017年02期 　论文类型：期刊论文

【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Groebner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13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]:In order to solve the specific harmonic elimination problem of step wave multilevel converter, numerical algorithm and intelligent algorithm are difficult to select the initial value and can only get partial solution. According to the algebraic algorithm of Groebner basis and symmetric polynomial theory, the solution of multivariate higher degree polynomial equations is transformed into the solution of univariate higher order polynomial equations and linear equations. A method for solving all solutions of equations without selecting initial values is given, which is compared with other algebraic algorithms (such as resultant elimination method, Wu method). All the switching angle solutions of the three-phase 13-level stepped wave converter in the full modulation ratio range are given, and the correctness of the solution is verified by experiments.
【作者单位】：中国矿业大学(北京)机电与信息工程学院;北京邮电大学电子工程学院;
【基金】：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(YETP0938)
【分类号】：TM46
【正文快照】： 0引言阶梯波多电平变换器具有输出容量大、输出电压电流谐波含量小、开关管承受反向电压较低等优点,同时由于开关器件均工作在基波频率,因此开关损耗很小,特别适合于高压大电流的应用场合[1-2]。在众多关于阶梯波多电平变换器的调制方法中,特定谐波消除[3]技术(selective harm

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