Open AccessVector SDE Based Stochastic Analysis of Transformer
Author(s) -
Rawid Banchuin,
Roungsan Chaisricharoen
Publication year - 2021
Publication title -
ecti transactions on computer and information technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.132
H-Index - 2
ISSN - 2286-9131
DOI - 10.37936/ecti-cit.2021151.188931
Subject(s) - transformer , stochastic differential equation , mathematics , euler's formula , mathematical analysis , control theory (sociology) , computer science , engineering , electrical engineering , voltage , control (management) , artificial intelligence
In this research, the stochastic behaviours oftransformer have been analysed by using the stochasticdifferential equation approach where both noise in thevoltage source applied to the transformer and the randomvariations in elements and parameters of transformers havebeen considered. The resulting vector stochasticdifferential equations of the transformer have been bothanalytically and numerically solved in the Ito sense wherethe Euler-Maruyama scheme has been adopted fordetermining the numerical solutions which have been theirsample means have been used for verification. With theobtained analytical and numerical solutions, the stochasticproperties of the transformer’s electrical quantities havebeen studied and the influences of noise in the voltagesource and random variations in elements and parametersof transformers to those electrical quantities have beenanalysed. The causes of high and low frequency stochasticvariations of such electrical quantities in both transient andsteady state have been pointed out. Moreover, furtherextension of our stochastic differential equations and therelated mathematical formulations has also been given.