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

Autor: WALCZAK, J., MAZURKIEWICZ, S., GRABOWSKI, D.
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Advances in Electrical and Computer Engineering, Vol 15, Iss 4, Pp 75-80 (2015)
Druh dokumentu: article
ISSN: 1582-7445
1844-7600
DOI: 10.4316/AECE.2015.04010
Popis: 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.
Databáze: Directory of Open Access Journals