快速相量提取算法  

A Fast Phasor Calculation Algorithm for Power Systems

作　　者：索南加乐[1] 王斌[1] 王莉[1] 孙金凤[2] 肖敏[2] 

机构地区：[1]西安交通大学电气工程学院,陕西省西安市710049 [2]西安供电局,陕西省西安市71003

出　　处：《中国电机工程学报》2013年第1期123-129,共7页Proceedings of the CSEE

基　　金：国家自然科学基金项目(51037005);国家重点基础研究发展计划项目(973项目)(2009CB219704;2012CB215105)~~

摘　　要：从故障暂态信号中快速、准确地提取出工频相量,对于继电保护是十分重要的。为此提出一种快速相量提取算法。基于矩阵束方法,利用给定工频信号的采样阵和输入信号采样阵构成一个方阵,该方阵的特征根包含工频相量信息,通过求解这个方阵的特征根,即可得到工频相量。但是求取该方阵特征根的计算量较大,针对此问题给出了降阶方法,将求高阶矩阵特征根转化为求2阶矩阵特征根,从而提高了计算效率。理论分析和仿真结果表明,所提出的方法计算量小,可消除各类谐波及衰减直流分量的影响,在较短数据窗内仍具有很高的精度。Quickly and accurately calculating power-frequency phasor from transient fault signals is crucial for relay protection. This paper proposes a fast method for phasor calculation. Based on matrix pencil method, a square matrix was formed by sampling matrices of input signals and reference signals, Its eigenvalues contain the information of the concerned phasors, among which the power-frequency phasor can be obtained by solving the eigenvalues. The computation burden of eigenvalues is huge. A reduced order method was proposed to simplify the calculation complexity, in which solving eigenvalues of a high order matrix was transformed into solving eigenvalues of a second order, and thus the efficiency of calculation was improved. Simulation results and theoretical analysis demonstrate that the presented method has low computational complexity and it is immune to harmonics or decaying DC components. This method also has high accuracy even for short data window.

关 键 词：工频 相量提取 故障暂态信号 谐波 直流衰减分量 

分 类 号：TM77[电气工程—电力系统及自动化]