Parametric Optimization of Power Supply Circuits for Electrotechniques

Abstract

When analyzing the circuits of power supplies for electrotechniques, the initial problem is solved. By means of solving the system of differential equations at each step of integration, the vector of unknown currents and voltages across circuit elements during the transient process can be obtained. As a result, the steady-state mode of power supply operation is attained. This mode can be also obtained when solving the boundary problem. In this case, discretization of the system of differential equations is carried out at the integration step and, then, the system of algebraical equations through the whole period of a steady-state mode is written. The solution of this sparse matrix with a regular structure allows one to determine all the unknown quantities in the circuit in the steady-state mode. An additional equation, which can be expressed in terms of circuit voltages and currents, is introduced in this system of equations, e.g., the equation of power released in the load at a given resistor resistance. The solution of the unified system allows one to obtain both the load resistance and the whole vector of voltages and currents, which correspond to this parameter.