时变时滞电力系统鲁棒稳定性新判据

doi:10.11985/2019.01.014

电气工程学报 ›› 2019, Vol. 14 ›› Issue (1): 79-82.doi: 10.11985/2019.01.014

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时变时滞电力系统鲁棒稳定性新判据

钟开成

云南电网有限公司玉溪市供电局玉溪 653100

收稿日期:2018-09-16 出版日期:2019-03-25 发布日期:2019-11-01
作者简介:钟开成,男,1990年生,工程师,从事配网规划工作。E-mail： 271371264@qq.com

New Robust Stability Criteriafor Power Systems with Time-Varying Delay

ZHONG Kaicheng

Yuxi Electric Power Supply Bureau of Yunnan Power Grid, Yuxi 653100 China

Received:2018-09-16 Online:2019-03-25 Published:2019-11-01

摘要/Abstract

摘要：

基于不确定时滞电力系统稳定保守性问题,构造新型Lyapunov-Krasovskii泛函。首先,引进一种新自由矩阵不等式方法处理泛函导数中的积分项,得到时变时滞电力系统的鲁棒稳定判据;其次,利用线性矩阵不等式工具箱进行求解。最后,以单机无穷大系统为例进行仿真,Matlab仿真结果表明了所提方法的有效性与优越性。

关键词: 电力系统, Lyapunov-Krasovskii泛函, 时变时滞, 鲁棒稳定

Abstract:

Based on the conservativeness of the stability of uncertain time-delay power systems, a novel Lyapunov-Krasovskii functionalis is constructed. Firstly, a new stability criterion is established by introducing and applying a new free-matrix-based integral inequalityapproach to deal with the integral terms yielded in functional derivatives, then the results are obtained that are formulated in the form of linear matrix inequalities(LMI). Finally, the single machine system is taken for a typical example to show the effectiveness and superiority of the proposed method in Matlab.

Key words: Power systems, Lyapunov-Krasovskii functional, time-varying delay, robust stability

中图分类号:

TM743

钟开成. 时变时滞电力系统鲁棒稳定性新判据[J]. 电气工程学报, 2019, 14(1): 79-82.

ZHONG Kaicheng. New Robust Stability Criteriafor Power Systems with Time-Varying Delay[J]. Journal of Electrical Engineering, 2019, 14(1): 79-82.

图/表 1

参考文献 11

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r	文献[8]	文献[10]	定理1	r	文献[8]	文献[10]	定理1
0.5	0.058 7	0.057	0.063 4	5	0.045 7	0.039 7	0.059 4
1	0.057 6	0.055 2	0.063 0	6	0.044 4	0.035 3	0.058 6
1.5	0.055 7	0.053 4	0.062 6	7	0.041 7	0.030 7	0.057 8
2	0.054 5	0.051 6	0.062 2	8	0.039 2	0.026 3	0.056 8
2.5	0.053 3	0.049 7	0.061 6	9	0.036 3	0.02 2	0.056 0
4	0.047 9	0.043 9	0.060 4	10	0.034 3	0.01 8	0.055 0

时变时滞电力系统鲁棒稳定性新判据

New Robust Stability Criteriafor Power Systems with Time-Varying Delay

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