A Domain Decomposition Approach to Solve Dynamic Optimal Power Flow Problems in Parallel

A Domain Decomposition Approach to Solve Dynamic Optimal Power Flow Problems in Parallel
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并行求解动态最优潮流问题的域分解方法

DOI:
10.1007/978-3-030-32157-4_4
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发表时间:
2018
期刊:
Trends in Mathematics
影响因子:
--
通讯作者:
̈and V. Heuveline
̈and V. Heuveline
中科院分区:
--
文献类型:
--
作者:
N. Schween;P. Gerstner;N. Meyer-Hübner;V. Slednev;T. Leibfried;W. Fichtner;V. Bertsch;̈and V. Heuveline

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本文提出了一种基于原对偶内点法求解动态最优潮流问题的线性方程组并行求解器。我们的求解器是基于广义最小残差方法结合添加剂施瓦茨区域分解方法作为预条件。该预处理器利用了动态最优潮流问题的结构,线性化后,作为一个矩阵与大对角块和只有少数非对角元素。这些元素对应于跨时间的耦合,由于斜坡和能量存储的限制,并被部分忽略,以解决问题的并行。我们测试我们的方法上的一个大规模的优化问题,并表明,可以获得并行加速。
We propose a parallel solver for linear systems of equations arising from the application of Primal Dual Interior Point methods to Dynamic Optimal Power Flow problems. Our solver is based on the Generalised Minimal Residual method in combination with an additive Schwarz domain decomposition method as preconditioner. This preconditioner exploits the structure of Dynamic Optimal Power Flow problems which, after linearization, is given as a matrix with large diagonal blocks and only a few off-diagonal elements. These elements correspond to intertemporal couplings due to ramping and energy storage constraints and are partially neglected in order to solve the problem in parallel. We test our method on a large-scale optimisation problem and show that a parallel speedup can be obtained.
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