电力系统谐波潮流的降维计算方法

COMPUTATION METHOD OF HARMONIC POWER FLOW VIA REDUCING DIMENSION

提出了一种电力系统谐波潮流的降维计算方法。它基于通用的常规基波和谐波潮流计算方法，通过分析谐波潮流计算偏差量方程中雅可比矩阵的结构和利用迭代求解的原理，可以将含有２（ｎ－１）＋２ｎＬ个变量的２（ｎ－１）＋２ｎＬ个需联立才能求解的偏差量方程组（ｎ为电网节点数，Ｌ为所含有的谐波种数）转化为仍含有２（ｎ－１）＋２ｎＬ个变量，但只需分别求解Ｌ个含有２ｎ个变量的联立方程组和一个含有２（ｎ－１）个变量的联立方程的组合，从而使偏差量方程降维。该降维计算方法能大大缩小计算程序的内存占用量，加快和提高谐波潮流的计算速度和收敛性。文中给出了降维计算方法的原理、程序、实现框图及实例。

This paper proposes a computation method of harmonic power flow via reducing dimension.Based on the conventional computation method of fundamental power flow and harmonic power flow. 2 (n-1) + 2nL mismatch equations (including both variable number and equation number 2 (n-1) +2nL) can be transferred into a combination of a group of 2 (n-1) dimension equations (variable number 2 (n-1). equation number 2 (n-1) ) and 2nL dimension equations through analyzing the structure of Jocabian matrix in its mismatch harmonic power flow equations and using iterative method. Simultaneously. this 2nL dimension equations also can be solved by a group of 2n dimension equations (the group number is L). respectively. The new computation method can greatly save its storage in software. speed up the computation of harmonic power flow. and raise its convergence. The theory, flow chart and numerical simulation are also presented in this paper. Its effectiveness and flexibility have been proved via realization of software and numerical calculation.