利用改进Rayleigh商逆迭代法进行大系统特定模式降阶  

Order Reduction of Large Power Systems for Special Modes Using the Improved Rayleigh Quotient Inverse Iteration

作　　者：和萍[1] 王克文[1] 谢志棠[2] 

机构地区：[1]郑州大学电气工程学院,郑州450002 [2]香港理工大学电机系

出　　处：《电工技术学报》2007年第4期130-135,共6页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(50177028)

摘　　要：对大系统特定模式进行降阶计算。依据特征值灵敏度对系统状态矩阵A重新排序,仅保留与特定模式强相关的发电机组,使矩阵维数得以降低。由于降阶后矩阵一般为复数形式,把矩阵虚部作为实部的修正量。以实部的特定特征值作为初值,用改进Rayleigh商逆迭代格式准确计算。算例分析验证了该方法的有效性。The order reduction of large power systems for special modes is presented in this paper by using the technique of improved rayleigh quotient inverse iteration. The matrix A is rearranged by eigenvalue sensitivities, and reduced in dimension with only the strong correlation generators reserved. Since the reduced system matrix is usually in complex form, the imaginary part is regarded as the correction of real part. With the special eigenvalue of the real part used as the initial value, the accurate computation is carried out by the improved Rayleigh quotient inverse iteration. The effectiveness of this approach is tested on two examples.

关 键 词：大系统 特征值灵敏度 降阶 Rayleigh商逆迭代 机电模式 

分 类 号：TM712[电气工程—电力系统及自动化]