基于改进Prony法的电力系统低频振荡快衰分量辨识

doi:10.11985/2018.12.007

电气工程学报 ›› 2018, Vol. 13 ›› Issue (12): 36-41.doi: 10.11985/2018.12.007

• • 上一篇

基于改进Prony法的电力系统低频振荡快衰分量辨识

牟建伟,尚亚男,刘文刚,戴思源,江澎,王保力,王延勃

国网辽宁省电力有限公司大连供电公司大连 116001

收稿日期:2018-09-21 出版日期:2018-12-31 发布日期:2020-01-02
作者简介:牟建伟男 1971年生,工程师,主要从事变电技术及信号辨识技术方面的工作研究。|尚亚男男 1986年生,工程师,主要从事电力系统稳定性分析方面的工作研究。
基金资助:
本文提出的改进算法已获国家发明专利(2016100315119)

An Identification Method Based on Improved Prony for Fast Attenuate Component of the Power System Low-Frequency Oscillation

Mu Jianwei,Shang Yanan,Liu Wengang,Dai Siyuan,Jiang Peng,Wang baili,Wang Yanbo

Dalian Power Supply Company of the State Grid Liaoning Province Electric Power Company Limited Dalian 116001 China

Received:2018-09-21 Online:2018-12-31 Published:2020-01-02

摘要/Abstract

摘要：

考虑到传统Prony算法对电力系统低频振荡模式中含有衰减较快的分量分析非常困难以及容易丢失衰减较快分量的问题,提出一种改进的快速衰减信号的提取方法——基于Givens变换的Prony分段分析法。该方法将采样时间划分为两个时段,首先分析第二时段求慢速衰减分量,然后分析第一时段求快速衰减分量。最后通过算例验证了该算法可以准确提取低频振荡模式中的快速衰减分量,同时也使得慢速衰减分量更加准确。

关键词: 低频振荡, Prony算法, 快速衰减分量, Givens变换, 分段分析, 精确性

Abstract:

Considering that the traditional Prony algorithm is very difficult to analyze the fast attenuate component of the power system low frequency oscillation mode and the fast attenuate component can be missed easily, an improved method of extracting rapid attenuate signal is proposed which is called Prony segment analysis method based on Givens transform. This method divides the data acquisition time into two periods, and the second period is analyzed firstly to calculate the slow attenuate component, then the first period is analyzed for calculating the fast attenuate component. Numerical example proves that this algorithm can accurately extract fast attenuate component of low frequency oscillation mode, and also makes the slow attenuate component more accurate.

Key words: Low frequency oscillation, Prony method, fast attenuation, Givens transform, segment analysis, accuracy

中图分类号:

TM74

牟建伟,尚亚男,刘文刚,戴思源,江澎,王保力,王延勃. 基于改进Prony法的电力系统低频振荡快衰分量辨识[J]. 电气工程学报, 2018, 13(12): 36-41.

Mu Jianwei,Shang Yanan,Liu Wengang,Dai Siyuan,Jiang Peng,Wang baili,Wang Yanbo. An Identification Method Based on Improved Prony for Fast Attenuate Component of the Power System Low-Frequency Oscillation[J]. Journal of Electrical Engineering, 2018, 13(12): 36-41.

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分量序号	频率f/Hz	衰减因子α	幅值A	初相θ/(°)
1	0.423 0	-0.002 7	10.000 0	110.000 0
2	0.420 0	-0.265 2	2.000 0	13.000 0
3	0.247 3	-0.031 1	10.000 0	20.000 0
4	1.034 9	-0.293 6	1.000 0	60.000 0
5	2.400 0	-45.878 8	5.800 0	10.000 0
6	0.900 0	-55.115 6	6.300 0	60.000 0

分量序号	方法	频率f/Hz	衰减因子α	幅值A	初相θ/(°)
1	Givens变换	0.423 0	-0.002 7	10.000 0	110.000 0
1	法方程形式	0.423 0	-0.002 7	9.999 9	109.999 3
2	Givens变换	0.420 0	-0.265 2	2.000 0	13.000 0
2	法方程形式	0.420 0	-0.265 2	1.999 8	13.000 9
3	Givens变换	0.247 3	-0.031 1	10.000 0	20.000 0
3	法方程形式	0.247 3	-0.031 1	10.000 0	20.000 0
4	Givens变换	1.034 9	-0.293 6	1.000 0	60.000 0
4	法方程形式	1.034 9	-0.293 6	1.000 0	60.000 0
5	Givens变换	2.400 0	-45.878 7	5.800 1	9.999 1
5	法方程形式	2.365 9	-45.923 0	6.214 1	12.011 8
6	Givens变换	0.900 0	-55.115 8	6.300 1	60.002 8
6	法方程形式	1.528 5	-56.554 5	2.421 7	60.193 5

分量序号	方法	频率f/Hz	衰减因子α	幅值A	初相θ/(°)
1	分段	0.423 0	-0.002 7	10.000 0	110.000 0
1	不分段	0.423 0	-0.002 7	10.000 0	110.000 0
2	分段	0.420 0	-0.265 2	2.000 0	13.000 0
2	不分段	0.420 0	-0.265 2	2.000 0	13.000 0
3	分段	0.247 3	-0.031 1	10.000 0	20.000 0
3	不分段	0.247 3	-0.031 1	10.000 0	20.000 0
4	分段	1.034 9	-0.293 6	1.000 0	60.000 0
4	不分段	1.0349	-0.2936	1.0000	60.000 0
5	分段	2.400 0	-45.878 7	5.800 1	9.999 1
5	不分段	2.426 6	-46.663 1	7.693 8	4.600 2
6	分段	0.900 0	-55.115 8	6.300 1	60.002 8
6	不分段	–	–	–	–

基于改进Prony法的电力系统低频振荡快衰分量辨识

An Identification Method Based on Improved Prony for Fast Attenuate Component of the Power System Low-Frequency Oscillation

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