|4/2015 - 10|
Analysis of RLC Elements under Stochastic Conditions Using the First and the Second MomentsWALCZAK, J. , MAZURKIEWICZ, S. , GRABOWSKI, D.
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circuit analysis, linear circuits, moment methods, stochastic processes, stochastic systems
stochastic(18), circuits(9), equations(6), kolarova(5), modeling(4), circuit(4), applications(4)
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About this article
Date of Publication: 2015-11-30
Volume 15, Issue 4, Year 2015, On page(s): 75 - 80
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2015.04010
Web of Science Accession Number: 000368499800010
SCOPUS ID: 84949967914
This paper describes a method of determining the first two moments of the response for basic components of electrical circuits, i.e. resistors, inductors and capacitors. The paper goal was to obtain closed form formulae for the moments describing voltage or current stochastic processes. It has been assumed that the element parameters R (resistance), L (inductance) and C (capacitance) could be random variables, deterministic functions or stochastic processes and excitations are second order stochastic processes. Moreover, two cases of dependence between the random parameters and the excitation stochastic processes have been considered. The obtained results enable determination of exact solutions for the first two moments without application of numerical algorithms.
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