中文摘要：

在谐波谐振分析方法中,模态分析方法可以揭示谐振频率、谐振幅度、谐振关键节点或位置等信息,得到了较快的推广和应用,但其计算效率尚有待提高。根据关键模态定义,即任一频率下的最大模态阻抗,只需求取每一个频率点处网络导纳矩阵的逆阵的最大特征值。采用幂迭代方法求取矩阵最大特征值及其对应的特征向量,通过采用新的迭代起始向量选取方法和迭代终止条件,有效减少了所需迭代次数;在优化方案中通过改进计算步长选择方法,进一步减少不必要的计算量。这些方法综合运用,获得了较高的计算速度。以IEEE 14母线系统作为算例,文中方法较一般模态分析方法计算速度提高了90%以上,验证了方法的有效性和高效性。

英文摘要：

Among the harmonic resonance analysis methods, resonance mode assessment can reveal lot of useful information of the resonance, such as its frequency, amplitude, critical node or bus participation, etc. As a result, this method is widely used and studied. However, calculation speed of this method is not satisfactory in computing eigenvaluecomposition process at all frequency intervals. According to the definition of critical mode, namely the largest modal impedance at any frequency, it needs to calculate the largest eigenvalue of inverse matrix of network admittance matrix at each frequency interval. Power iteration is adopted to calculate the largest eigenvalue and corresponding eigenvector. Iterative times are reduced with new iteration starting vector selection method and iteration termination criteria. Furthermore, unnecessary calculation is further reduced by modifying calculation step selection method in prioritization scheme. Calculation speed increases remarkably with above methods synthetically. Simulation results on IEEE 14-bus test system illustrate high effectiveness of the proposed method, with an improvement of more than 90% calculation speed compared with conventional modal analysis method.