Stochastic analysis of three phase systems based on the first and the second order moments

Author

Grabowski, Dariusz ; Walczak, Janusz

Author_Institution

Fac. of Electr. Eng., Silesian Univ. of Technol., Gliwice, Poland

fYear

2012

fDate

18-25 May 2012

Firstpage

935

Lastpage

940

Abstract

Methods of determination of the first and the second order moments of stochastic processes for a three phase system have been given in the paper. Stochastic processes observed in the system could be a result of stochastic nature of the source or the load. A few cases have been considered including stochastic voltage and current waveforms with deterministic components as well as deterministic voltage and stochastic current waveforms. It has been assumed that stochastic processes in the system are of the second order or they can be described precisely enough by the first and the second order moments.

Keywords

method of moments; power systems; stochastic processes; waveform analysis; deterministic voltage waveform; first order moment; second order moment; stochastic current waveform; stochastic process; three phase system; Correlation; Fourier series; Gaussian processes; Nickel; Probabilistic logic; Probability density function; moments of stochastic processes; stochastic systems; three phase systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Environment and Electrical Engineering (EEEIC), 2012 11th International Conference on

Conference_Location

Venice

Print_ISBN

978-1-4577-1830-4

Type

conf

DOI

10.1109/EEEIC.2012.6221510

Filename

6221510