Abstract
Este artigo apresenta um algoritmo para organização e solução das equações obtidas pelos mé- todos de análise por inspeção nodal ou por malhas. Oferece, também, uma rápida revisão sobre os métodos de inspeção, que funcionam como uma ferramenta de rápido equacionamento do circuito elétrico, que podem ser utilizados genericamente para circuitos elétricos lineares, com fontes de tensão e de corrente, dependentes e independentes, simplificando o equacionamento, sem riscos de desenvolver equações linearmente dependentes. Um circuito elétrico pode ser solucionado de diversas formas, e os métodos de equacionamento dependem de algumas características específicas do circuito. Este trabalho mostra que os métodos de inspeção podem ser utilizados genericamente em circuitos elétricos lineares com fontes de tensão e de corrente, dependentes, ou independentes. Em contrapartida, a presença de diferentes tipos de fontes pode gerar um sistema de equações que precisam ser manipuladas para que se tornem um sistema linear do tipo A· x = b, o que foi realizado a partir do desmembramento matricial dos elementos do sistema. Utilizou-se o Matlab para determinar o sistema linear no qual as incógnitas pudessem ser determinadas, aplicando-se o algoritmo proposto neste trabalho.
Palavras-chave: Circuitos elétricos. Algoritmo. Sistema linear. Inspeção.
Matrix equations organization algorithm obtained from inspection analysis in an electrical circuit with voltage and current sources, dependent or independent
Abstract
This paper presents an algorithm for the organization and solution of the equations obtained by nodal or mesh inspection methods. It also offers a quick review of inspection methods, which act as a tool for equationing the electrical circuit, which can be used generically for linear electric circuits, with independent and dependent voltage and current sources, simplifying the equation without risks of developing linearly dependent equations. An electrical circuit can be solved in several ways, and methods of equationing dependent on some specific characteristics of the circuit. This work shows which methods of inspection can be used generically in linear electric circuits with voltage and current sources, dependent or independent. In contrast, a presence of different types of sources can generate a system of equations that need to be manipulated to become a linear system of type A · x = b, which was performed from the dismemberment elements of the system. Matlab was used to determine the linear system, in which the unknowns could be determined, applying the algorithm proposed in the work.
Keywords: Electric circuits. Algorithm. Linear system. Inspection method.
References
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