Electrotechnical Systems

Korotyeyev, Igor; Zhuikov, Valery; Kasperek, Radoslaw

doi:10.1201/9781420087109

Cited by 5 publications

(5 citation statements)

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“…Let us expand the domain of the differential equation (1) from one independent variable of time t to two independent variables of time t and τ as follows (Korotyeyev et al , 2010): …”

Section: Mathematical Modelmentioning

confidence: 99%

“…One of the obstacles in using the frequency response method is the absence of periodic steady-state solutions. Therefore, it is expedient to expand differential equations into the domain of two independent variables of time (Korotyeyev et al , 2010). This expansion is based on the idea that signals acting in the circuit are independent and realized by transforming differential equations to partial differential equations with two independent variables of time.…”

Section: Introductionmentioning

confidence: 99%

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Frequency response analysis of periodically time varying circuits

Korotyeyev

2018

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Purpose The purpose of this paper is to introduce a method for the analysis of steady-state processes in periodically time varying circuits. The method is based on a new definition of frequency responses for periodic time-varying circuits. Design/methodology/approach Processes in inverter circuits are often described by differential equations with periodically variable coefficients and forcing functions. To obtain a steady-state periodic solution, the expansion of differential equations into a domain of two independent variables of time is made. To obtain differential equations with constant coefficients the Lyapunov transformation is applied. The two-dimensional Laplace transform is used to find a steady-state solution. The steady-state solution is obtained in the form of the double Fourier series. The transfer function and frequency responses for the inverter circuit are introduced. Findings A set of frequency characteristics are defined. An example of a boost inverter is considered, and a set of frequency responses for voltage and current are presented. These responses show a resonance that is missed if the averaged state-space method is used. Originality/value A new definition of frequency responses is presented. On the basis of frequency responses, a modulation strategy and filters can be chosen to improve currents and voltages.

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“…Let us expand the domain of the differential equation (1) from one independent variable of time t to two independent variables of time t and τ as follows (Korotyeyev et al , 2010): …”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Frequency response analysis of periodically time varying circuits

Korotyeyev

2018

COMPEL

Self Cite

View full text Add to dashboard Cite

show abstract

“…R is equal to the sum of resistances of an inductor, a switch 1 S and a load R ; 2 R is equal to the sum of resistances of the inductor, a switch 2 S and the load R ; 0,1,.. n = ., ( ) ( ) e t e t T = + , T is a period of a power source.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In order to obtain a periodic steady-state solution of (1) let us expand the domain of the differential equation (1) from one independent variable of time t to two independent variables of time t and τ as follows [2]:…”

Section: Mathematical Modelmentioning

confidence: 99%