THE ALGORITHM OF CREATION AND COMPUTATIONAL CAPABILITIES OF THE GENERALIZED CANONICAL FORM OF THE DESCRIPTION OF THE DYNAMICS OF NONLINEAR NONAUTONOMOUS ELECTRIC CIRCUITS

The algorithm of formation of the generalized canonical form of the description of the dynamics of nonlinear nonautonomous electric circuits with concentrated parameters is proposed. The computational basis of the algorithm is the calculation scheme of the analytical-numerical method, providing the formation of functional-power series for the regular components of the desired solutions of the equations of dynamics of circuits. Problem-oriented algorithms for solving special problems on the basis of the generalized canonical form of the description of the dynamics of nonlinear nonautonomous circuits are proposed. Reduction of the equation of dynamics of a nonlinear nonautonomous circuits to a generalized form of recording can be performed at any discrete moment of time from a given interval of the study. The description of dynamics of a nonlinear nonautonomous circuit by means of a system of differential equations corresponds to the generalized canonical form of record of the initial equation of a circuit dynamics. The generalized character of the formed canonical form determines the unified forms of representation of the right parts of its differential equations and descriptions by means of convergent power series of its existing solutions. This unification increases the level of algorithmic procedures in the framework of building problem-oriented algorithms for the analysis of dynamics of nonlinear nonautonomous circuits.

Authors: Yu. A. Bychkov, S. V. Sherbakov

Direction: Electrical Engineering

Keywords: The electrical circuit, the reaction of the circuit, the nonlinear characteristics, nonstationary parameters, the description of the chain dynamics, canonical form of the description, the calculation of the circuit dynamics, the phase portraits of the circuit

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