电力系统单时滞稳定裕度求解模型简化方法  

A Model Simplification Method for Solving Stability Margin of Power System with Single Time-delay

作　　者：姜懿郎[1] 贾宏杰[1] 姜涛[1] 李鹏[2] 

机构地区：[1]智能电网教育部重点实验室,天津大学,天津市300072 [2]中国南方电网电力调度控制中心,广东省广州市510623

出　　处：《电力系统自动化》2014年第2期46-52,共7页Automation of Electric Power Systems

基　　金：国家重点基础研究发展计划(973计划)资助项目(2009CB219701);国家自然科学基金资助项目(51277128);南方电网公司科技项目(K-ZD2012-006);supported by National Basic Research Program of China(973 Program)(No.2009CB219701);National Natural Science Foundation of China(No.51277128);China Southern Power Grid Science and Technology Projects(No.K-ZD2012-006)

摘　　要：在利用线性矩阵不等式(LMI)判据求解电力系统时滞稳定裕度时,由于电力系统动态模型的维数通常很高,会导致待求解变量过多和求解时间过长。针对此问题,文中首先将包含单时滞环节的电力系统线性模型扩展为包含输入、输出环节的状态空间表达式;进一步,基于成熟的状态空间表达式降维方法,对扩展模型进行简化,在保留系统关键动态特性的基础上,大幅减少待求变量数;最后,基于简化模型,借助LMI及参数变换,形成新的更为高效的时滞稳定判据。将该方法应用于含时滞环节的WSCC 3机9节点和IEEE 10机39节点系统中,借助二分搜索算法对比了两种电力系统单时滞稳定裕度的求解结果,算例表明时滞系统经过模型简化后,稳定裕度计算结果与简化前相比误差较小,而所需计算时间有较大幅度减少。In the process of solving the power system time-delay stability via the linear matrix inequality（ LMI） criterion,the high dimensions in the dynamic model of power systems may result in the over abundance of unknown variables and unacceptable length of calculation time. In order to surmount this difficulty,this paper initially converts the power system linear model with single time-delay to a state-space model with the input and output component. Furthermore,the extended model is simplified via the well-developed state-space based model reduction method. As a consequence,the quantity of unknown variables will substantially decrease while the system s crucial dynamic features are reserved. Finally,on the basis of the simplified model,the LMI technique and the parameter transform tool,a new time-delay stability criterion with better performance,is obtained. The proposed method is used in the WSCC 3- machine 9-bus and IEEE 10-machine 39-bus system with single time-delay component,and a comparison of stability margin solving results between the two systems is made with the binary search method. The numerical results indicate that the simplified model of time- delay system generates fewer errors in the calculation of stability margin than those of the model without simplification,but the calculation time is remarkably reduced.

关 键 词：电力系统稳定 时滞 模型简化 线性矩阵不等式 

分 类 号：TM712[电气工程—电力系统及自动化]