The Process Analysis in Domain of Two Variables

Main Article Content

Igor Yevheniiovych Korotyeyev
https://orcid.org/0000-0002-7990-5413
Marius Klytta
https://orcid.org/0000-0002-6832-0145

Abstract

A steady-state processes in RLC circuit with power sources having incommensurable frequencies is considered. In such a circuit a periodic steady-state process does not exist. In order to obtain the periodic steady-state behavior an expansion of an ordinary differential equation is considered. This expansion is based on introducing of an additional time variable and therefore on transition from ordinary differential equations to partial differential equations with two time variables. Obtained differential equations are solved by use of the two-dimensional Laplace transform. Using double integrals expressions for a transfer function, active power and frequency responses for domain of two time variables are defined. Voltage and current amplitude-frequency characteristics of RLC circuit in the domain of two variables are presented.

Ref. 6, fig. 5.

Article Details

How to Cite
[1]
I. Y. Korotyeyev and M. Klytta, “The Process Analysis in Domain of Two Variables”, Мікросист., Електрон. та Акуст., vol. 23, no. 2, pp. 19–24, Apr. 2018.
Section
Electronic Systems and Signals

References

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