基于改进自由权矩阵与广义特征值的时滞稳定
上限计算方法研究

马静; 李俊臣; 李益楠; 王增平

引用本文:	马静,李俊臣,李益楠,等.基于改进自由权矩阵与广义特征值的时滞稳定上限计算方法研究[J].电力系统保护与控制,2014,42(18):1-8.
	MA Jing,LI Jun-chen,LI Yi-nan,et al.Research on time-delay upper-bound of power system wide-area damping controllers based on improved free-weighting matrices and generalized eigenvalue problem[J].Power System Protection and Control,2014,42(18):1-8

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基于改进自由权矩阵与广义特征值的时滞稳定上限计算方法研究
马静¹, 李俊臣², 李益楠¹, 王增平¹
1.新能源电力系统国家重点实验室（华北电力大学），北京 102206;2.国网陕西省电力公司电力科学研究院，陕西西安710054

摘要:

提出了一种利用改进自由权矩阵与广义特征值(Generalized Eigenvalue Problem, GEVP)判定系统时滞稳定上限的方法。首先构造一类新的Lyapunov-Krasovskii泛函，并求解该泛函沿系统的导函数。然后，在导函数中加入必要的松散项以降低该方法保守性。在此基础上，利用gevp求解系统的时滞稳定上限。IEEE 4机11节点系统和16机68节点系统时域仿真结果验证了该方法能够有效求解电力系统所能承受的最大时滞。

关键词: 改进自由权矩阵 L-K泛函时滞上限广义特征值

DOI：

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基金项目:国家重点基础研究发展计划项目(973项目)(2012CB215200)；国家自然科学基金项目(51277193)；中央高校基本科研业务费专项资金项目(2014ZZD02)；教育部留学回国人员科研启动基金资助项目(教外司留[2011] 1139号)；河北自然科学基金项目(E2012502034)；北京市科技新星支持计划(Z141101001814012)；北京市优秀人才支持计划(2013B009005000001)；霍英东教育基金(141057)

Research on time-delay upper-bound of power system wide-area damping controllers based on improved free-weighting matrices and generalized eigenvalue problem

MA Jing¹, LI Jun-chen², LI Yi-nan¹, WANG Zeng-ping¹

1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (North China Electric Power University), Beijing 102206, China;2.Shaanxi Electric Power Research Institute, State Grid Shaanxi Electric Power Company, Xi’an 710054, China

Abstract:

A method to determine the time-delay upper-bound of the existing wide-area controller of low frequency oscillation based on improved free-weighting matrix and generalized eigenvalue problem (GEVP) is proposed. Firstly, a new class of Lyapunov-Krasovskii functional is constructed. Secondly, the derivation function along the system is solved. On this basis, necessary loose items are added to the derivation function in order to reduce the conservative, and a set of matrix linear inequalities is formed. Then the upper-bound of delay stability of wide-area controller is solved by means of GEVP. Finally, the time-domain simulation of the IEEE 4-machine 11-bus test system and IEEE 16-machine 68-bus test system demonstrate that the method of solving time-delay stability upper-bound of power system wide-area controller based on improved free-weighting matrices can be applied to different control methods and different types of power systems.

Key words: improved free-weighting matrices L-K functional time-delay upper bound generalized eigenvalue problem

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