Evaluation of overlapping restricted additive schwarz preconditioning for parallel solution of very large power flow problems

S. Abhyankar, Barry F. Smith, E. Constantinescu
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引用次数: 11

Abstract

The computational bottleneck for large nonlinear AC power flow problems using Newton's method is the solution of the linear system at each iteration. We present a parallel linear solution scheme using the Krylov subspace-based iterative solver GMRES preconditioned with overlapping restricted additive Schwarz method (RASM) that shows promising speedup for this linear system solution. This paper evaluates the performance of RASM with different amounts of overlap and presents its scalability and convergence behavior for three large power flow problems consisting of 22,996, 51,741, and 91,984 buses respectively.
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超大型潮流问题并行解的重叠受限加性schwarz预处理评价
用牛顿法求解大型非线性交流潮流问题的计算瓶颈是每次迭代求解线性系统。本文提出了一种基于Krylov子空间的迭代求解器GMRES的并行线性解方案,该方案采用重叠限制加性Schwarz方法(RASM)进行预处理,对该线性系统解显示出良好的加速效果。本文评价了RASM在不同重叠量下的性能,并分别针对22,996、51,741和91,984母线的三种大型潮流问题展示了其可扩展性和收敛性。
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