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Analysis of RLC Elements under Stochastic Conditions Using the First and the Second MomentsWALCZAK, J. , MAZURKIEWICZ, S. , GRABOWSKI, D. |
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Author keywords
circuit analysis, linear circuits, moment methods, stochastic processes, stochastic systems
References keywords
stochastic(18), circuits(9), equations(6), kolarova(5), modeling(4), circuit(4), applications(4)
Blue keywords are present in both the references section and the paper title.
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
Abstract
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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[1] Numerical simulation of fractional-order dynamical systems in noisy environments, Mostaghim, Zeinab Salamat, Moghaddam, Behrouz Parsa, Haghgozar, Hossein Samimi, Computational and Applied Mathematics, ISSN 0101-8205, Issue 5, Volume 37, 2018.
Digital Object Identifier: 10.1007/s40314-018-0698-z [CrossRef]
[2] Confidence intervals for RLCG cell influenced by coloured noise, Kolarova, Edita, Brancik, Lubomir, COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Issue 4, Volume 36, 2017.
Digital Object Identifier: 10.1108/COMPEL-07-2016-0321 [CrossRef]
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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
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