The paper deals with processes analysis in inverter circuits. These processes are described by differential equations with periodical coefficients. Since control signals and voltages operating in an inverter circuit are independent theirs frequencies are often incommensurable. In order to obtain steady-state periodic solutions ordinary differential equations with one independent time variable are expanded into partial differential equations with two independent variables of time. Obtained partial differential equations with periodical coefficients are transformed into equations with constant coefficients by using the Lyapunov transformation. Since these equations are defined in the domain of two time variables theirs solutions are determined by using the two dimensional Laplace transform. After solving differential equations a steady-state solution is given in the form of the double Fourier series. Frequency responses are defined as functions of Fourier coefficients dependent on control signal and power voltage frequencies. Results of calculations of frequency responses for a buck-boost inverter are presented. Ref. 11, fig. 7.<
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