Application of mathematical modeling for solving linear algebraic and ordinary differential equations

Bebikhov Yu. V., Semenov A. S., Semenova M. N., Yakushev I. A.

The article discusses the use of mathematical modeling for solving linear algebraic and ordinary differential equations as applied to complex electrical circuits, automatic control and regulation systems. An example of calculating the currents of branches and nodal potentials of an electric circuit using the matrix method in MatLab is given. With the help of the developed methodology, the approximated polynomial function was calculated, its graph was plotted, and a complete match with the original data was obtained. In the Simulink environment, the calculation of differential equations of successively connected inductive and resistive elements of an electric circuit was made. The conclusion was made about the universality of the use of mathematical modeling in technical calculations for problems of automatic control and electric power industry.

Keywords:mathematical modeling, MatLab, Simulink, electric circuit, system of equations, matrix, polynomial.