利用改进Rayleigh商逆迭代法进行大系统特定模式降阶

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.

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

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.