变电站关键设备工频电场计算的预条件处理GMRES(m)边界元法

Preconditioned GMRES(m) boundary element method for power frequency electric field of key devices within substation

在计算大尺度变电站关键设备工频电场时,传统方法效率低、性能差,计算困难。针对常规方法在大尺度工频电场计算中的瓶颈问题,提出了一种提高变电站关键设备三维电场分布计算效率的预条件GMRES(m)边界元法。阐述了预条件GMRES(m)迭代边界元法的基本原理及实现方法,并针对500kV变电站中部分关键设备周围电场分布进行了计算与比较分析。结果表明,预条件GMRES(m)边界元法经过预条件处理电位系数矩阵后,收敛速度快、残值收敛速度快、迭代次数少;在不降低计算精度的前提下,计算时间明显优越于直接迭代法;在满足工程误差和提高计算效率的同时,预条件GMRES(m)边界元法更适合于计算大尺度变电站关键设备的工频电场。

The traditional direct iteration method has low computational efficiency, poor iterative performance and computational difficulties for the analysis of power frequency electric field （PFEF） of key devices within substation, especially involving multi-medium. The preconditioning generalized minimal residual （GMRES） boundary-element method （BEM） is proposed to enhance computational efficiency of three dimensional PFEF of key devices within substation, where it can＇t be solved by the traditional direct iteration method. The basic principle and implementation steps are given. PFEF distribution of switch and break for 500kV substation switch field is presented to demonstrate the efficiency and accuracy of preconditioning GMRES BEM for studying large scale PFEF of key devices within substation. The proposed preconditioning GMRES BEM can not only improve convergence rate and residual convergence rate but also reduce computation cost without decreasing accuracy. Therefore, it is superior to direct iteration method and a suitable algorithm to solve the large-scale systems arising from the PFEF of key devices within substation.