Formulación y comparación de cinco métodos para el análisis de flujo de potencia en sistemas de distribución AC en el software Matlab

Abstract

Power flow study is one of the main information sources for electrical systems, meaning it is essential for design and control, then it is especially important to have all necessary tools for getting the right data in the most efficient way. This is the reason why this work shows different techniques to resolve the load flow problem for distribution systems, such as: Successive Approximations, Back Forward Swept, Triangular Method and Linear Approximations. These techniques use modifications of the load flow equation to reduce the calculation process and to obtain more accurate data, than the ones resulting from traditional load flow methods as Newton-Raphson and Gauss-Seidel. To begin with the formulation of the techniques, it was necessary to take a detailed approach on the equations, because the most important step to develop these methods, is knowing the step-by-step methodology used to know the voltage of each node and therefore the technical power losses of the system. One of the main goals of this work is to show the algorithm required to develop the mathematical techniques explained on the MATLAB software, to do so, one chapter was dedicated to explaining with details the methodology used to formulate two of the methods on said software. To corroborate the functioning of the techniques, two distribution systems were use, one with 33 nodes and the other one with 69, for each system two study cases were considered, showing power losses and processing time. The purpose of this, was getting enough information to compare the techniques developed with two of the most common methods used such as Newton-Raphson and Gauss-Seidel. Finally, thanks to the comparative process, some parameters were defined to show the advantages of the 5 formulated techniques with the traditional ones. As a result of algorithms showed for implementing the techniques, an interactive MATLAB application was developed, as a useful tool for students looking to learn more about load flow studies on distribution systems.