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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  4/2015 - 10

Analysis of RLC Elements under Stochastic Conditions Using the First and the Second Moments

WALCZAK, J. See more information about WALCZAK, J. on SCOPUS See more information about WALCZAK, J. on IEEExplore See more information about WALCZAK, J. on Web of Science, MAZURKIEWICZ, S. See more information about  MAZURKIEWICZ, S. on SCOPUS See more information about  MAZURKIEWICZ, S. on SCOPUS See more information about MAZURKIEWICZ, S. on Web of Science, GRABOWSKI, D. See more information about GRABOWSKI, D. on SCOPUS See more information about GRABOWSKI, D. on SCOPUS See more information about GRABOWSKI, D. on Web of Science
 
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Download PDF pdficon (743 KB) | Citation | Downloads: 787 | Views: 2,661

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
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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.


References | Cited By  «-- Click to see who has cited this paper

[1] K. Skowronek, Stochastic Approach to Electrical Circuits. Monograph, Poznan: Publishing House of Poznan University of Technology, pp. 34-76, 2011.

[2] E. Kadlecova, R. Kubasek, E. Kolarova, "RL circuits modeling with noisy parameters," in Proc. of the Int. Conf. on Applied Electronics, Pilsen, 2006, pp. 79-81.
[CrossRef] [Web of Science Times Cited 1]


[3] D. Grabowski, "Moments of stochastic power processes for basic linear elements," in Proc. of the Int. Conf. on Fundamentals of Electrotechnics and Circuit Theory, Ustron, 2009, pp. 83-84.

[4] N. Patil, B. Gawalwad, S. Sharma, "A random input-driven resistor-capacitor series circuit," in Proc. of the Int. Conf. on Recent Advancements in Electrical, Electronics and Control Engineering, Sivakasi, 2011, pp. 100-103.
[CrossRef]


[5] E. Kolarova, "Modeling RL electrical circuits by stochastic differential equations," in Proc. of the Int. Conf. Computer as a Tool, Belgrade, 2005, pp. 1236-1238.
[CrossRef] [Web of Science Times Cited 19]


[6] R. Banchuin, R. Chaisricharoen, "Stochastic inductance model of on chip active inductor," in Proc. of the Int. Conf. Education Technology and Computer, vol. 5, Shanghai, 2010, pp. V5-1 - V5-5.
[CrossRef]


[7] R. Farnoosh, P. Nabati, R. Rezaeyan, M. Ebrahimi, "A stochastic perspective of RL electrical circuit using different noise terms," COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 30, no. 2, pp. 812-822, 2011.
[CrossRef] [Web of Science Times Cited 23]


[8] E. Kolarova, L. Brancik, "Vector linear stochastic differential equations and their applications to electrical networks," in Proc. of the 35th Int. Conf. on Telecommunications and Signal Processing, Prague, 2012, pp. 311-315.
[CrossRef]


[9] J. Walczak, S. Mazurkiewicz, D. Grabowski, "Stochastic models of lumped elements," in Proc. of the Int. Symp. Theoretical Electrical Engineering, Pilsen, 2013, pp. II-19 - II-20.

[10] L. Brancik, E. Kolarova, "Simulation of higher-order electrical circuits with stochastic parameters via SDEs," Advances in Electrical and Computer Engineering, vol. 13, no. 1, pp. 17-22, 2013.
[CrossRef] [Full Text] [Web of Science Times Cited 19]


[11] L. Brancik, E. Kolarova, "Time-domain simulation of transmission line models with multiple stochastic excitations," in Proc. of the 24th Int. Conf. Radioelektronika, Bratislava, 2014, pp. 1-4.
[CrossRef] [Web of Science Times Cited 4]


[12] L. Socha, Linearization Methods for Stochastic Dynamic Systems. Berlin Heidelberg: Springer, Lecture Notes in Physics, pp. 59-84, 2008.
[CrossRef]


[13] T. K. Rawat, H. Parthasarathy, "On stochastic modelling of linear circuits," International Journal of Circuit Theory and Applications, vol. 38, no. 3, pp. 259-274, 2010.

[14] P. Manfredi, D. Vande Ginste, D. De Zutter, F. G. Canavero, "Stochastic modeling of nonlinear circuits via SPICE-compatible spectral equivalents," IEEE Trans. on Circuits and Systems I: Regular Papers, vol. 61, no. 7, pp. 2057-2065, 2014.
[CrossRef] [Web of Science Times Cited 47]


[15] P. Manfredi, I. S. Stievano, F. G. Canavero, "Stochastic simulation of integrated circuits with nonlinear black-box components via augmented deterministic equivalents," Advances in Electrical and Computer Engineering, vol. 14, no. 4, pp. 3-8, 2014.
[CrossRef] [Full Text] [Web of Science Times Cited 2]


[16] D. Grabowski, "Stochastic power process for nonlinear inertialess elements," Przeglad Elektrotechniczny, vol. 86, no. 4, pp. 147-150, 2010.

[17] M. M. Olama, S. M. Djouadi, C. D. Charalambous, "Stochastic differential equations for modeling, estimation and identification of mobile-to-mobile communication channels," IEEE Trans. on Wireless Communications, vol. 8, no. 4, pp. 1754-1763, 2009.
[CrossRef] [Web of Science Times Cited 17]


[18] Wei Yu; B. H. Leung, "Noise analysis for sampling mixers using stochastic differential equations," IEEE Trans. on Circuits and Systems II: Analog and Digital Signal Proc., vol. 46, no. 6, pp. 699-704, 1999.
[CrossRef] [Web of Science Times Cited 16]


[19] B. G. Gawalwad, S. N. Sharma, "Noise analysis of a CMOS inverter using the Itô stochastic differential equation," in Proc. of the IEEE Int. Conf. on Control Applications, Dubrovnik, 2012, pp. 344-349.
[CrossRef]


[20] K. Sobczyk, Stochastic Differential Equations with Applications to Physics and Engineering. Kluwer Academic Publishers, pp. 339-364, 2001.
[CrossRef]


[21] T. T. Soong, Random Differential Equations in Science and Engineering. New York: Academic Press, pp. 6-32, 1973.



References Weight

Web of Science® Citations for all references: 148 TCR
SCOPUS® Citations for all references: 0

Web of Science® Average Citations per reference: 7 ACR
SCOPUS® Average Citations per reference: 0

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2024-04-15 03:48 in 86 seconds.




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Stefan cel Mare University of Suceava, Romania


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