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首页> 外文期刊>Power Electronics, IET >Parallel resultant elimination algorithm to solve the selective harmonic elimination problem
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Parallel resultant elimination algorithm to solve the selective harmonic elimination problem

机译：并行结果消除算法解决选择性谐波消除问题

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摘要

Although the resultant elimination method can get all the possible solutions for the selective harmonic elimination (SHE) problem without the selection of initial values, it still has some fatal shortcomings, such as the high computation burden and the huge memory consumption caused by the intermediate expression swell in the procedure of computing the symbolic determinant of the Sylvester matrix. On the basis of the principle of polynomial interpolation, an algorithm framework is proposed to compute the resultant polynomials, which contains the following two major steps: the evaluation of numerical interpolation points and the solution of linear equations. This approach avoids symbolic computing whose computation complexity is usually very high, furthermore, both of these two steps are suitable for parallel implementing which can speed up the computing tremendously. By using the extended -dimensional Björck-Pereyra's algorithm, this algorithm framework is implemented on a parallel computing system, and it has been used to solve the SHE equations for two-level, three-level, and multilevel inverters. As all the possible solutions can be found by this algorithm, the optimal solutions which have the lowest total harmonic distortion can be identified. Experiment results verify the correctness and effectiveness of the proposed method.
机译：尽管所得消除方法无需选择初始值即可获得选择性谐波消除（SHE）问题的所有可能解决方案，但它仍存在一些致命缺陷，例如计算量大和中间表达式导致的巨大内存消耗在计算西尔维斯特矩阵的符号行列式的过程中膨胀。在多项式插值原理的基础上，提出了一种计算结果多项式的算法框架，包括以下两个主要步骤：数值插值点的估计和线性方程组的求解。这种方法避免了计算复杂度通常很高的符号计算，此外，这两个步骤都适合于并行实现，从而可以极大地加快计算速度。通过使用扩展的Björck-Pereyra算法，该算法框架在并行计算系统上实现，并且已用于求解两级，三级和多级逆变器的SHE方程。由于可以通过该算法找到所有可能的解，因此可以确定总谐波失真最低的最优解。实验结果验证了该方法的正确性和有效性。

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