多跨输电线平面振动特性的并行算法

A Parallel Algorithm for the Determination of the ln-Plane Natural Frequencies of a Multispan Transmission Line

利用单跨输电线的传递矩阵得到三跨输电线的控制方程，设计了两种并行算法求解该控制方程，并应用于一个工程实例。在ＩｎｍｏｓＴ８００Ｔｒａｎｓｐｕｔｅｒ上实现了上述两种并行算法。计算结果与实测结果相比较，表明传递矩阵法是一种有效的求解多跨输电线平面运动固有频率和振型的方法，而并行算法应用于此类问题也可获得理想的加速比。

This paper presents the transfer matrix for a 3-span transmission line using the transfer matrix for a 1-span transmission line developcd in the companion paper. The governing equation based on the boundary conditions is derived. The authors have designed two parallel algorithms for solving the equation based on the mutual independency of the matrices in the governing equation. The parallel algorithms have been applied to a practical engineering caae and are implemented on an lnmos Trans- puter parallel system. A comparison Of the calcutlation results with the test results show that the transfer matrix method is very effective and the parallel algorithms can give a high speed-up ratio.