Numerical methods for on-line power system load flow analysis
Numerical methods for on-line power system load flow analysis
复制标题
电力系统潮流在线分析的数值方法
DOI：
10.1007/s12667-010-0013-6
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Raju
中科院分区：
文献类型：
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作者：
S. Khaitan;J. McCalley;M. Raju
牛顿-拉夫逊法是目前应用最广泛的潮流计算方法。然而，LU分解仍然是一个计算上具有挑战性的任务，以满足电力系统的实时需求。本文提出了应用非常快速的多波前直接线性求解器解决电力系统实时潮流分析的线性系统子问题，利用最先进的排序和预处理算法。此外，还使用了LU分解的非对称多波前方法和高度优化的英特尔®数学核心函数库BLAS。两个国家的最先进的非对称矩阵的多波前算法，即UMPACK V5.2.0和顺序MUMPS 4.8.3（“多波前大规模并行求解器”）是定制的交流电力系统牛顿-拉夫森的潮流分析。多波前解算器与最先进的基于稀疏高斯消除的HSL稀疏解算器MA 48进行了比较。本研究评估了上述多波前求解器的性能方面的因素，计算时间，浮点运算和内存的数量，在九个系统，包括非常大的真实的电力系统的潮流解决方案的背景下。报告了业绩评价的结果。所提出的方法实现了显着减少计算时间。
Newton-Raphson method is the most widely accepted load flow solution algorithm. However LU factorization remains a computationally challenging task to meet the real-time needs of the power system. This paper proposes the application of very fast multifrontal direct linear solvers for solving the linear system sub-problem of power system real-time load flow analysis by utilizing the state-of-the-art algorithms for ordering and preprocessing. Additionally the unsymmetric multifrontal method for LU factorization and highly optimized Intel®Math Kernel Library BLAS has been used. Two state-of-the-art multifrontal algorithms for unsymmetric matrices namely UMFPACK V5.2.0 and sequential MUMPS 4.8.3 (“Multifrontal Massively Parallel Solver”) are customized for the AC power system Newton-Raphson based load flow analysis. The multifrontal solvers are compared against the state-of-the-art sparse Gaussian Elimination based HSL sparse solver MA48. This study evaluates the performance of above multifrontal solvers in terms of number of factors, computational time, number of floating-point operations and memory, in the context of load flow solution on nine systems including very large real power systems. The results of the performance evaluation are reported. The proposed method achieves significant reduction in computational time.