不换位输电线路参数变换矩阵的校正方法

A Method of Parameter Matrix Transformation for Un-transposed Transmission Line

针对利用模分量法进行不换位输电线路的故障计算时,Fortescue变换矩阵将无法使线路参数矩阵对角化的问题,提出一种基于Fortescue变换矩阵的简化计算方法。该方法充分利用Fortescue变换矩阵对于不换位时精确的对角化矩阵的决定作用,通过分析参数矩阵的相似矩阵的特点,进行近似处理后应用于模分量法,并从误差方面分析仿真计算结果,验证了该方法在输电线路不对称的故障分析计算中的可行性,有效减少了计算量并提高了计算精度。

As in the modal analysis of asymmetrical three-phase transmission lines,the Fortescue transformation matrix cannot attain the digitalization of the parameter matrices of the transmission lines,a simplified calculating method is proposed based on Fortescue matrix that can still play an important role in determining the exact modal transformation.By using the properties of the similar matrix of Fortescue matrix to simplify the calculation process,the corrected transformation matrix is applied in the mode component method.Error analysis of simulation results shows that the corrected transformation matrix is feasible in the fault analysis of asymmetrical transmission lines with smaller computational complexity and higher calculation accuracy.