Scientific journal
Scientific Review. Technical science
ISSN 2500-0799
ПИ №ФС77-57440

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CONSTRUCTION OF THE TRANSFER FUNCTIONS OF THE AUTONOMOUS INVERTERS

Astapovich Y.M. 1 Radionova M.V. 1 Mityashin N.P. 1
1 Saratov state technical university named after Gagarin Y.A.
The method of calculation of the transfer functions of autonomous inverters for use in the analytical analysis and synthesis of automatic control transducer systems is represented. The technique is based on the transition from the initial discrete dynamical models of inverters to continuous models in the form of Cauchy and subsequent transfer to the models in the form of “input-output”. The transition from discrete to continuous models based on the formation of such a system of differential equations of the continuous model, which solution components are envelopes for the corresponded solutions of difference equations of the discrete model. This formation is achieved by the operation of the matrix logarithm applied to the coefficient matrix of the system of difference equations of the discrete model, in which calculated the coefficient matrix of the system of differential equations in the form of a continuous model of Cauchy. Calculation of the matrix logarithm performed using Lagrange – Sylvester formula.