Power load flow models and their numerical solution

Bachelor thesis (2020)

Authors

S. Jonker Electrical Engineering, Mathematics and Computer Science

Contributors

D.J.P. Lahaye Mathematical Physics - EEMCS (mentor)
M.C. Veraar Analysis - EEMCS (graduation committee member)
N.V. Budko Numerical Analysis - EEMCS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2020 Stan Jonker
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Published Date

30-07-2020

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

This thesis covers the power load flow problem and three numerical methods which can be used as a solution. We firstly discuss the concepts from electrical engineering required to discribe the problem. This includes alternating current and voltage and admittances of various electrical elements. We then use these concepts to derive a set of equations that govern how power flows through a network. To solve these equations, we consider the Newton-Raphson, line-search and trust-region algorithms. For these methods, we also look at its convergence and the amount of computational power required. We conclude in the cases where the parameters of the electrical network are within reasonable bounds, the Newton-Raphson algorithm is sufficient in precision and requires the least computational power. Otherwise, one of the other two methods may be tried.