基于正交投影变换的输电线路电磁暂态计算新方法

提出一种利用投影变换算子理论建立的暂态分析和计算的新思路。利用函数逼近、投影变换和多分辨分析理论将输电线路电报方程组投影到由一个关于时间变量t的基函数，在某个二进分辨率下通过位移张成的函数空间中，得到一个只关于距离变量x的向量微分方程组。利用线路的边界条件，即可求解出输电线路的暂态过程。该方法将二维偏微分方程的求解问题转化为数值计算，突破了传统的特征法，建立了新的输电线路电磁暂态计算模型和方法。利用单根线路的EMTP仿真证明了该算法的正确性。

Novel Algorithm of Electro-magnetic Transient Computation by Means of Orthogonal Projection Operators

A new algorithm based on orthogonal projector for transmission line transients is proposed. By the new method, which utilizes function approaches theory, projection operator theory and multi-resolution analysis, the telegraphic equation can be projected into a function space, which is spanned by the orthogonal basis function relates to variable t in an given binary resolution, and then an vector equation with only one variable of distance x is presented. By solving the vector equation the new algorithm for transient computation and analysis is constructed. Through the EMTP simulation tests, it is proved that the new algorithm is correct and accuracy. The new approach can overcome two drawbacks of the traditional Characteristic Method. Meanwhile. the orosoect based on this method is described.