Correspondence between phasor transforms and frequency response function in RLC circuits

The analysis of RLC circuits is usually made by considering phasor transforms of sinusoidal signals (characterized by constant amplitude, period and phase) that allow the calculation of the AC steady state of RLC circuits by solving simple algebraic equations. In this paper I try to show that phasor...

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Bibliographic Details
Published in:arXiv.org 2016-02
Main Author: Hassan Mohamed Abdelalim Abdalla
Format: Article
Language:English
Subjects:
Circuit design
Damping
Frequencies
Frequency response functions
Phasors
RLC circuits
Transformations (mathematics)
Online Access:Get full text
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Summary:The analysis of RLC circuits is usually made by considering phasor transforms of sinusoidal signals (characterized by constant amplitude, period and phase) that allow the calculation of the AC steady state of RLC circuits by solving simple algebraic equations. In this paper I try to show that phasor representation of RLC circuits is analogue to consider the frequency response function (commonly designated by FRF) of the total impedance of the circuit. In this way I derive accurate expressions for the resonance and anti-resonance frequencies and their corresponding values of impedances of the parallel and series RLC circuits respectively, notwithstanding the presence of damping effects.
ISSN:2331-8422