将s级2s阶的辛Runnge-Kutta方法用于电力系统暂态稳定性计算,利用矩阵分裂技巧以及矩阵求逆运算的松弛方法,导出了一种新的暂态稳定性并行计算方法,具有较好的时间并行特性和超线性收敛性.利用IEEE 145节点系统,对导出的并行算法进行了仿真测试和评估.仿真测试结果表明,所提出的并行算法具有很好的收敛性,有效地解决了时间并行度与收敛性之间的矛盾,可以获得较高的加速比和很好的并行计算效率.%In this paper, the s-stage 2s-order symplectic Runge-Kutta method is adopted for numerical calculation of power system transient stability. By an artful splitting of Jacobian matrix and using relaxation technique of matrix inverse, a new parallel algorithm for transient stability computation has been derived. The proposed algorithm is of complete parallel-in-time, and has super-linear convergence rate. For test, IEEE 145-bus power system is used, and through numerical simulation the proposed algorithm has been compared with the conventional parallel-in-time Newton approach. The test results show that the proposed algorithm has good convergence rote, can resolve the contradiction between the parallel-in-time degree and the convergence rate, and can obtain high speedup and parallel calculation efficiency.
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