Power flow analysis using Numerical Methods

Bruno Pereira do Nascimento, Caison Rodrigues Ramos, Aline Brum Loreto

Abstract


The basic function of the Electric Power System is to supply electrical energy with quality and when requested. For this to be possible some analysis of the system is required, among them Power Flow Analysis. This analysis is important for the delineation of the power systems, as well as in the definition of the best conditions of operation, control and supervision of the existing systems. The system is modeled as follows: Generators, Loads, Reactors and Capacitors are connected between any node and the ground node, since the transmission lines and transformers are connected between any two nodes. Thus, the admittance matrix of the system will be generated through nodal analysis that will be solved by numerical methods. One of the objectives of this work aims to perform the power flow analysis of a system with the aid of numerical methods. Another objective is as well as to verify the accuracy of the results, with solutions obtained by the methods of Gauss Elimination, LU Factoration, Gauss Seidel and Crout Method, implemented in C language. The analysis of the accuracy of the results occurred through the relative error in comparison to the results obtained by MatLab software.


Keywords


Power flow; Numerical methods; C language

References


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CHAPRA, Steven C.; CANALE, Raymond P. Métodos numéricos para engenharia. McGraw-Hill, 2008.

OLIVEIRA, Aurelio RL; SOARES FILHO, Secundino. Métodos de pontos interiores para problema de fluxo de potência ótimo DC. Sba: Controle & Automação Sociedade Brasileira de Automática, v. 14, n. 3, p. 278-284, 2003.

BAPTISTA, Edméa Cássia; BELATI, Edmarcio Antônio; DA COSTA, Geraldo RM. Um método primal-dual aplicado na resolução do problema de fluxo de potência ótimo. Pesquisa Operacional, v. 24, n. 2, p. 215-226, 2004.




DOI: https://doi.org/10.5902/2179460X35501

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