Resumen de Symbolic analysis with matlab of electrical circuits considering the two-port network theory
J.A. Martínez Martínez, Miguel Cañas Carretón
The work presented in this contribution is the continuity of the development carried out in two previous papers presented in Edulearn 2016 and 2018, where a toolbox coded in the MATLAB work environment was presented to analyse electrical circuits in a symbolic way, considering Laplace and time domains. The computational kernel of the toolbox proposed has been improved; adapting the code to the new releases of MATLAB appeared in the last years. Furthermore, the procedures of solving circuits have been updated thanks to the new type of file extensions “.mlx”. The scope of the tool developed keeps the original objective about the resolution of electrical circuits in a symbolic way. The general idea behind of the first work is kept but with new functionalities added, so the user does not have to code it. Until now, the concept of “basic branchs” have been used in Laplace domain, and giving the case, through the Inverse Laplace Transformation (ILT) the results are converted to the time domain. Once proved the success of the symbolic resolution of basic circuits showed in previous works, where the last addition was the development of the essential techniques to obtain the “Thevenin equivalent” of circuits of different complexity, the present work shows new type of circuits where this methodology is applied. The capability of the toolbox is extended to the two-port network theory (also called quadripole theory). It will be analysed in a systematic way circuits including impedance parameters (Z), admittance (Y) and hybrids (h and g). In all cases, the technique of using descriptive files “.mlx” is kept, besides with the script files “.m” associated with the circuits under study. The next steps to extend the capabilities of the toolbox will be focus towards to the symbolic resolution of circuits under Stationary Sinusoidal Regime (SSR). Furthermore, subsequent approaches will result in the implementation of the frequency response, harmonics and symmetrical components.
