Process analysis in PWM inverters based on two dimensional laplace transform

Korotyeyev, Igor

doi:10.1109/isncc.2013.6604446

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2018

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“…Applying the two-dimensional Laplace transform [5] to (2) and assuming, that initial conditions are equal to zero, i.e. and…”

Section: Mathematical Modelmentioning

confidence: 99%

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The Process Analysis in Domain of Two Variables

Korotyeyev

Klytta²

2018

Mìkrosist. elektron. akust.

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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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“…Applying the two-dimensional Laplace transform [5] to (2) and assuming, that initial conditions are equal to zero, i.e. and…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Processes in inverter circuits are dependent on control signals acting on power transistors. These signals result of frequencies that ratios are mostly irrational [1], [2]. In that case a steady-state behavior exists, but is not periodic.…”

Section: Introductionmentioning

confidence: 99%

The Process Analysis in Domain of Two Variables

Korotyeyev

Klytta²

2018

Mìkrosist. elektron. akust.

View full text Add to dashboard Cite

show abstract

Process analysis in PWM inverters based on two dimensional laplace transform

Cited by 1 publication

References 3 publications

The Process Analysis in Domain of Two Variables

The Process Analysis in Domain of Two Variables

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