基于最小二乘矩阵束算法的工频分量提取方法

KANG Xiaoning

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基于最小二乘矩阵束算法的工频分量提取方法

更新时间：2025-08-13

- 基于最小二乘矩阵束算法的工频分量提取方法
- Automation of Electric Power Systems Vol. 38, Issue 21, Pages: 66-70(2014)
- 作者机构：
  
  西安交通大学电气工程学院,陕西省,西安市,710049
- 作者简介：
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- Published：2014
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KANG Xiaoning. [J]. Automation of electric power systems, 2014, 38(21): 66-70.
DOI：

KANG Xiaoning. [J]. Automation of electric power systems, 2014, 38(21): 66-70. DOI：

摘要

从故障暂态信号中准确地提取出工频分量对于继电保护十分重要。最小二乘矩阵束算法采用衰减指数和模型，可以有效消除各类谐波及衰减直流分量的影响。文中通过仿真研究了采样频率、时间窗及模型阶数等关键参数选取对最小二乘矩阵束算法的影响。同时，分析了滤波器及数据采样对算法的影响。最后，在1个工频周期下与傅氏算法进行对比，仿真结果表明最小二乘矩阵束算法具有较高的计算精度。

Abstract

Quick and accurate extraction of the power-frequency phasor from transient fault signals is crucial for relay protection.Using the sum of damping exponents to approximate the original signal，the least-square matrix pencil algorithm can avoid the impact of decaying DC components and fractional harmonics.This paper studies the influence of the sample frequency，the length of data window and model order on the least-square matrix pencil algorithm and analyzes the influence of filters and data sampling on the algorithm.Finally，compared with the Fourier algorithm in one cycle，the least-square matrix pencil algorithm is found to be more accurate.

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