基于相量量测的电力系统谐波状态估计算法的研究  

Study of phasor measurements based power system harmonic state estimation algorithm

作　　者：侯世英[1] 汪瑶[1] 祝石厚[1] 万新云 彭文雄[1] 

机构地区：[1]重庆大学输配电装备及系统安全与新技术国家重点实验室,重庆400030 [2]江苏镇江供电公司丹阳宏源电力设计研究院,江苏丹阳212300

出　　处：《电工电能新技术》2008年第2期42-46,共5页Advanced Technology of Electrical Engineering and Energy

摘　　要：基于相量量测单元的电力系统谐波状态估计技术,可选取电力网络的节点谐波电压为状态量,支路电流、节点注入电流和节点电压相量为量测量,从而使谐波状态方程成为线性方程。本文根据这个特点,再结合量测方案的不同情况,提出了在冗余量测和基本量测时,采用便于工程实际应用的乔累斯基算法来求解线性谐波状态方程,其计算量只是高斯消元法的一半,且不用考虑选主元,大大减少了计算的时间;在量测矩阵欠定时,采用奇异值分解算法,不仅可以为欠定的状态方程提供稳定的最小二乘解,而且该算法本身具有可观性分析的功能,不需要采用其它算法进行可观性分析,从而极大地简化了谐波状态估计分析的难度。最后通过仿真程序验证了这两种算法在谐波状态估计求解问题中的有效性和可靠性。With the rapid development of phasor measurement technology, power system harmonic state estimation based on PMU （Phasor Measurement Unit） has its own characteristic that node votage phasors can be chosen as state variables and branch current phasors, node votage phasors and injected current phasors can be selected as measurement variables, and the state equations become linear equations. According to this characteristic this paper combines the different measurement schemes, using Cholesky decomposition algorithm, to solve overdetermined and basic measurement equations, and its computational complexity is just a half of the Gauss elimination method and it is not necessary to select main element which accelerate the computation speed greatly. Singular value decomposition is used to solve underdetermined measurement equations. It offers not only a steady least square solution for power system, but also identifying the observability of power system, which simplifies analytical procedure greatly. At last the simulation and programming indicate the effectiveness and reliability of the two algorithms.

关 键 词：谐波状态估计 奇异值分解法 乔累斯基分解法 

分 类 号：TM711[电气工程—电力系统及自动化]