Power load flow models and their numerical solution
S. Jonker (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Domenico Lahaye – Mentor (TU Delft - Mathematical Physics)
MC Veraar – Graduation committee member (TU Delft - Analysis)
N.V. Budko – Graduation committee member (TU Delft - Numerical Analysis)
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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.