Open AccessAnalysis of RLC Elements under Stochastic Conditions Using the First and the Second Moments
Author(s) -
Janusz Walczak,
S. Mazurkiewicz,
Dariusz Grabowski
Publication year - 2015
Publication title -
advances in electrical and computer engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 23
eISSN - 1844-7600
pISSN - 1582-7445
DOI - 10.4316/aece.2015.04010
Subject(s) - rlc circuit , method of moments (probability theory) , mathematics , computer science , statistics , engineering , electrical engineering , capacitor , voltage , estimator
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