Research on 3-level Inverter Harmonics Elimination Using the Theory of Multivariable Polynomials
Research on 3-level Inverter Harmonics Elimination Using the Theory of Multivariable Polynomials
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发表时间：
2007
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通讯作者：
Hu Cun-gang
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作者：
Hu Cun-gang
传统迭代算法求解非线性谐波消除方程存在一定的缺陷。本文提出了一种利用多变量多项式理论消除NPC三电平逆变器谐波的方法。以消去的第5次、第7次和第11次谐波为例，结果表明，利用初等对称多项式可以降低多项式的阶数，利用合成理论可以消去变量。然后，描述了计算切换角度的显式算法。研究结果表明，该方法克服了求解SHE非线性方程初值确定的困难，能准确地得到所有解，并能通过数学软件快速实时计算解。最后给出了两组解的实验和仿真结果，验证了该方法的有效性。
The nonlinear,harmonic elimination equations solved by traditional iterative algorithm exists some weaknesses.This paper presents an approach to eliminate harmonics in NPC 3-level inverter using the theory of multivariable polynomial.Taking the 5th,7th,and 11th harmonics eliminated for instance,the results show that the elementary symmetric polynomials can be exploited to reduce the degrees of the polynomials and the resultant theory can be utilized to eliminate variables.Then,the explicit algorithm implemented to compute the switching angles is described.Research results indicate that the method has many merits,such as hurdling the difficulty of determining the initial values when solving the SHE nonlinear equations,obtaining all solutions accurately,computing the solutions fast enough for real-time with mathematical software.Finally,experimental and simulation results of two group of solutions are presented to confirm the validity of the technique.