电力系统相模变换矩阵的最优化建模方法

基于相模变换的继电保护方法对于复杂电力系统故障下保护动作速度的高要求具有强契合性，然而相模变换矩阵结构的差异性将影响故障辨识的快速性、准确性和基于单一模量进行故障类型辨识的有效性。基于均匀换位输电线路相模变换矩阵的数学特征，并结合不同短路故障类型的故障电流特征信号物理差异性及故障边界条件，采用最优化理论，提出了电力系统时域相模变换矩阵的最优化建模方法，可克服当前相模变换矩阵试探建模方法效率低的缺陷。该方法通过改变两界约束和最优化求解构建新的相模变换矩阵，易于实现，且能便捷地构建故障电流相模变换单一模量契合电力系统全部故障类型的相模变换矩阵。仿真算例验证了时域相模变换矩阵最优化建模方法的通用性、正确性和在行波测距时的有效性。

Optimization method for modeling phase-mode transformation matrix of power system

Relay protection methods based on phase-mode transformation have strong compatibility with the high requirement of protection action speed under complex power system failure. However, the difference in the structure of phase-mode transformation matrix will affect the fault identification rapidity, accuracy and the effectiveness of fault type identification with single modulus. Based on the mathematical characteristics of the phase-mode transformation matrix of uniformly transposed transmission lines, combined with the physical differences of fault current characteristic signals and fault boundary conditions of different short circuit fault types, an optimization modeling method for the time domain phase-mode transformation matrix of power systems is proposed using optimization theory, which can overcome shortcomings of the low efficiency of traditional tentative modeling methods in building phase-mode transformation matrix. The proposed method can easily formulate a novel structure for phase-mode transformation matrix through changing the two boundary constraints of variables and optimizing the solution. Then, a novel phase-mode transformation matrix, of which fault current single modulus value adapting to all fault types of power system can be constructed conveniently. The simulation example verifies the universality, correctness and effectiveness of the proposed optimization modeling method of time domain phase-mode transformation matrix.