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Notes on Power System Load Flow Analysis (在电力系统负载流分析)
Notes on Power System Load Flow Analysis using an Excel Workbook
Abstract
These notes describe the features of an MS-Excel Workbook which illustrates four
methods of power system load flow analysis. Iterative techniques are represented by
the Newton-Raphson and Gauss-Seidel methods. The Workbook also includes two
search algorithms: genetic algorithms and simulated annealing.
1. Introduction
Load flow studies [1,2] are used to ensure that electrical power transfer from
generators to consumers through the grid system is stable, reliable and economic.
Conventional techniques for solving the load flow problem are iterative, using the
Newton-Raphson or the Gauss-Seidel methods. Recently, however, there has been
much interest in the application of stochastic search methods, such as Genetic
Algorithms [3,4,5], to solving power system problems. The increasing presence of
distributed alternative energy sources, often in geographically remote locations,
complicates load flow studies and has triggered a resurgence of interest in the topic.
The principles of power system load flow studies are taught within elective modules
in the later years of undergraduate electrical engineering courses, or as essential
components of specialist masters programmes in electrical power engineering. From
the educational viewpoint, therefore, the topic is important, yet a complete coverage
presents some significant challenges. Pre-requisites include fundamental concepts
from a.c. circuit analysis, such as phasor notation, impedance and admittance, power
and reactive power, three-phase and per-unit systems, all of which are regarded as
‘difficult’ by many students. The load flow solution techniques bring extra
mathematical hurdles, including matrix representation (with com
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