Computer‐aided teaching of state‐variable formulation for LTI circuits

Abstract

ABSTRACT:The state-variable formulation is the most widely used approach for the transient analysis of dynamic circuits. This paper illustrates the use of the Matlab environment to obtain the state-variable equations of LTI circuits for educational purposes. The system of equations is obtained by systematically formulating and rearranging the cut-set equations associated with the so-called proper tree. The setup developed in this paper is intended for a basic course on Linear Circuit Theory, which is mandatory in any Electrical Engineering curriculum, but it could be adapted to any other Engineering course involving first-order differential equations.

PI‐based implementation for modeling and simulation of the continuous‐time LTI system and its Matlab‐Simulink‐based application

“…Vahidi and Esmaeeli presented a Matlab‐Simulink‐based simulation method for teaching differential protection of power transformer. Bachiller‐Soler et al used the Matlab to facilitate teaching of state‐variable formulation for LTI circuits in the course of linear circuit theory. Blostotsky and Efraim applied the Matlab‐Simulink to facilitate teaching the standard's requirements for elastomeric seismic isolators based on virtual testing.…”

“…However, such integrated blocks in the Simulink are black boxes without providing any clue on the subject of the principle on generating the equations and describing the circuit behavior. It is convenient and irrelevant for professional designs, but may be a major limitation for educational and teaching purposes . From the perspective of time‐domain analysis, the article introduces one principle of superposition in the time domain for equivalently describing the LTI system.…”