多机系统利用模态最优线性组合法的降阶分析  

Multi-machine system reduced-order analysis based on modal optimal linear combination method

作　　者：刘海涛[1,2] 龚乐年[1] 

机构地区：[1]东南大学电气工程学院,江苏南京210096 [2]南京工程学院电力工程学院,江苏南京210013

出　　处：《电力系统保护与控制》2010年第15期1-6,11,共7页Power System Protection and Control

基　　金：江苏省自然科学基金项目(BK2008366);江苏省'六大人才高峰'资助项目~~

摘　　要：在多机电力系统小扰动稳定分析与控制中,利用原始系统状态空间方程的坐标变换,根据具有附加条件的最优分析方法,建立二次型性能指标,以主导模态坐标近似来描述非主导模态坐标,从而建立模态最优线性组合降阶法的等值模型,由等值模型可以分析所有状态变量的动态变化过程。以双轴同步发电机模型为基础,综合考虑自动励磁调节系统,详细推导多机系统原始的状态空间方程。以一3机9节点实例建立原始状态空间方程,采用模态最优线性组合法获得降阶后的等值模型,由降阶前后动态特性曲线的近似重合论证了模态最优线性组合降阶法的有效性。In a multi-machine power system small signal stability analysis and control, the coordinate transformation of original system state space equation and optimal conditions with additional analysis are used to establish the quadratic performance index, and thus to lead dominant modal coordinates approximation to describe the non-dominant modal coordinates. Furthurly the equivalent model is established based on the modal optimal linear combination reduction method. Using the equivalent model can analyze all the dynamic process of state variables. Based on dual-axis synchronous generator model and automatic excitation control system, the state-space equation of multi-machine system is deduced in detail. With a 3-machine 9-node example, the original state space equation is established and equivalent modal is obtained by model optimal linear combination method. The approximation coincides of dynamic characteristic curve before and after the reduced order demonstrates that the modal optimal linear combination reduction method is effective.

关 键 词：模态 最优 降阶 组合 小扰动 

分 类 号：TM712[电气工程—电力系统及自动化]