Title: updating preconditioner for iterative method in time domain simulation of power systems
Author: Wang Ke
; Xue Wei
; Lin Haixiang
; Xu Shiming
; Zheng Weimin
Keyword: Algorithms
; Differential equations
; Differentiation (calculus)
; Linear systems
; Linear transformations
; Matrix algebra
; Time domain analysis
Source: Science China Technological Sciences
Issued Date: 2011
Volume: 54, Issue: 4, Pages: 1024-1034 Indexed Type: ei,springer
Department: (1) Laboratory of Parallel Software and Computational Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China; (2) Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China; (3) Tsinghua National Laboratory for Information Science and Technology (TNList), Beijing 100084, China; (4) Delft Institute of Applied Mathematics, Delft University of Technology, Delft 2628 CD, Netherlands
English Abstract: The numerical solution of the differential-algebraic equations (DAEs) involved in time domain simulation (TDS) of power systems requires the solution of a sequence of large scale and sparse linear systems. The use of iterative methods such as the Krylov subspace method is imperative for the solution of these large and sparse linear systems. The motivation of the present work is to develop a new algorithm to efficiently precondition the whole sequence of linear systems involved in TDS. As an improvement of dishonest preconditioner (DP) strategy, updating preconditioner strategy (UP) is introduced to the field of TDS for the first time. The idea of updating preconditioner strategy is based on the fact that the matrices in sequence of the linearized systems are continuous and there is only a slight difference between two consecutive matrices. In order to make the linear system sequence in TDS suitable for UP strategy, a matrix transformation is applied to form a new linear sequence with a good shape for preconditioner updating. The algorithm proposed in this paper has been tested with 4 cases from real-life power systems in China. Results show that the proposed UP algorithm efficiently preconditions the sequence of linear systems and reduces 9%-61% the iteration count of the GMRES when compared with the DP method in all test cases. Numerical experiments also show the effectiveness of UP when combined with simple preconditioner reconstruction strategies. © 2011 Science China Press and Springer-Verlag Berlin Heidelberg. Language: 英语
WOS ID: WOS:000289736900033
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/13989
Appears in Collections: 软件所图书馆_期刊论文
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Recommended Citation:
Wang Ke,Xue Wei,Lin Haixiang,et al. updating preconditioner for iterative method in time domain simulation of power systems[J]. Science China Technological Sciences,2011-01-01,54(4):1024-1034.
