The Process Analysis in Domain of Two Variables

Autor: Igor Yevheniiovych Korotyeyev, Marius Klytta
Jazyk: English<br />Ukrainian
Rok vydání: 2018
Předmět:
Zdroj: Mìkrosistemi, Elektronìka ta Akustika, Vol 23, Iss 2 (2018)
Druh dokumentu: article
ISSN: 2523-4455
2523-4447
DOI: 10.20535/2523-4455.2018.23.2.133701
Popis: 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.
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