Title :
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
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;
Conference_Titel :
Environment and Electrical Engineering (EEEIC), 2012 11th International Conference on
Conference_Location :
Venice
Print_ISBN :
978-1-4577-1830-4
DOI :
10.1109/EEEIC.2012.6221510