互联系统ISS的积分-积分判据及独立系统应用实例  

Integral-integral estimate of interconnected system ISS and its applications in isolated system

作　　者：秦博宇 张雪敏[1] 魏东宁[1] 

机构地区：[1]清华大学电机系电力系统及发电设备控制和仿真国家重点实验室,北京100084

出　　处：《电力自动化设备》2014年第5期46-52,66,共8页Electric Power Automation Equipment

基　　金：国家重点基础研究发展计划(973计划)项目(2013CB-228201);国家自然科学基金资助项目(50907038;51190103)~~

摘　　要：输入-状态稳定(ISS)理论可以根据子系统的稳定属性来判断互联系统的稳定属性,这为分析拓扑多变的独立电力系统稳定性提供了便利。该目标的实现需要2个前提:获得设备的ISS/输入-输出稳定(IOS)属性;得到互联系统稳定的判定条件。鉴于ISS定义式的等价形式(积分-积分判据)能够更加准确地刻画设备的ISS属性,推导了在积分-积分判据定义下的互联系统局部IOS定理。该定理使得互联系统稳定性判定只需要在事先获得的设备ISS/IOS属性的基础上判断2个代数不等式,即小增益条件和局部稳定条件。通过PSCAD仿真软件对发电机与电动机互联系统进行了稳定性分析,仿真结果验证了理论分析的正确性。ISS（Input-to-State Stability） theory judges the stability of interconnected system according to the stabilities of its subsystems,which can be properly used in the stability analysis of isolated power system with variable topology. Two premises are necessary：acquiring the ISS/IOS（Input-to-Output Stability） property of equipment;obtaining the stability criterion of interconnected system. Because the integral-integral estimate, the equivalent form of ISS definition,can more accurately define the ISS property of equipment,the local IOS theorem for interconnected system is deduced under the integral-integral estimate definition,which detects the stability of interconnected system by judging only two algebraic inequalities based on the acquired ISS/IOS property of equipment：the small gain condition and the locally stable condition. The stability of an interconnected system with generator and motor is analyzed with PSCAD simulation software and the simulative results verify the correctness of theoretical analysis.

关 键 词：输入-状态稳定 输入-输出稳定 积分-积分判据 电力设备 互联系统 稳定性 

分 类 号：TM712[电气工程—电力系统及自动化]