Аналіз процесу перетворювача, що встановився зі змінним навантаженням

Igor Yevheniiovych Korotyeyev

doi:10.20535/2523-4455.2019.24.2.170527

Vol. 24 · Issue 2 · 2019 Apr 30, 2019 Electronic Systems and Signals

Steady-State Analysis of Inverter Working with Varied Load

Igor Yevheniiovych Korotyeyev Corresponding Інститут Промислової електроніки Зеленогурский университет Poland

Pages42-46 PublishedApr 30, 2019

PDF (Ukrainian)

VOL 24 · ISS 2 · 2019 View issue

Abstract

The paper deals with an analysis of steady-state behaviours in inverter circuits. Transient and steady-state processes in inverter circuits are described by differential equations with periodical coefficients. The control of inverter switches and a load is realised by signals which frequencies are independent. These frequencies are incommensurable. In order to obtain steady-state periodic solutions ordinary differential equations are expanded into partial differential equations with two independent variables of time. The solution of partial differential equations is found by calculating a periodic boundary condition for an arbitrary period in the domain of two time variables. Obtained functions are used for forming a time delay equation. This equation is solved by the use of the Galerkin method with sinusoidal weight and basis functions. The result of a calculation is represented in the form of the Fourier series. The periodic boundary condition and steady-state process for a boost inverter with varied load are presented. Ref. 8, fig. 6.

Keywords

#expansion of differential equations #steady-state analysis #periodical boundary condition #періодичне граничне значення

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