Comparison of approaches in analysis of dynamic chains with non-zero initial conditions by structural modeling methods
Calculation of transients in linear electrical circuits is an important section of the theory of electrical circuits, included in the curricula of most engineering areas of training and specialties of technical universities. In addition to the traditional engineering methods for calculating transients, which are part of the training programs for specialists, it is of interest to use modern methods of calculation performed in computer mathematical environments. The practical development of these methods is facilitated by both specially developed computer program packages for calculating electrical circuits and electronic circuits, as well as programs leading on the market for technical computing that implement simulation block visual-oriented modeling of systems and devices of the most general purpose Simulink - the main Matlab extension package. In this case, the optimal approach to the study of dynamic circuits, of course, remains a harmonious combination of traditional and computer tools to ensure the educational process. The use of the Simulink extension allows not only to independently evaluate the reliability of the calculations performed, but also to better understand the physics of the processes, as well as to have a good opportunity to present the calculation results in various forms. The relevance of the study is due to the need to improve and expand the capabilities of the dynamic calculation of electrical circuits. A linear electric circuit of the second order with nonzero initial conditions is considered as an object for research. The main goal of the research is to compare the approaches to the analysis of transients in linear circuits with nonzero initial conditions by the methods of structural modeling in Matlab Simulink. The focus is on building block diagrams of electric circuit models. The basis for the description of the processes is the Kirchhoff equations, connecting the instantaneous values of the currents and voltages of the circuit elements through their parameters. Examples of numerical simulation using structural block diagrams of electric circuit models are given. The advantages and disadvantages of the considered approaches are considered, as well as recommendations for their use are received.