SVD算法下多谐波源系统解耦策略仿真分析

Simulation Analysis of Decoupling Strategy for Multi-harmonic Source System Using SVD Algorithm

针对谐波耦合对电网带来的不利影响,本文首先建立了多谐波源的耦合导纳模型,然后结合模型分析多谐波源系统的耦合因子。其次,针对谐波源之间的耦合关系,本文提出基于奇异值分解SVD的解耦方法,实现耦合因子矩阵的解耦,使得谐波源之间的相互干扰减弱。再将提出的解耦策略应用在谐波责任区分方面,从而得到更为精确的责任区分结果,进一步验证了解耦理论的科学性。最后,采用IEEE13节点系统进行Matlab/Simulink仿真与分析,计算得到多谐波源系统的耦合因子以及解耦前后谐波责任的大小对比结果,验证了理论的可行性。

In light of the adverse effects of harmonic coupling on power grid,a coupling admittance model with multiple harmonic sources is established at first,then it is used to analyze the coupling factors of a multi-harmonic source system.Second,according to the coupling relationship among harmonic sources,a decoupling method based on singular value decomposition(SVD)is proposed in this paper,and the decoupling of coupling factor matrix is realized such that the mutual interference among harmonic sources is weakened.Moreover,the proposed decoupling strategy is applied to the division of harmonic responsibility to obtain a more accurate division result,which further validates the decoupling theory.Finally,simulation analysis on an IEEE 13-node system is conducted using Matlab/Simulink.The coupling factors of multi-harmonic source system are calculated,and the harmonic responsibility before and after decoupling is compared,which verifies the feasibility of the theory.