Geodesic
Stochastic model of the hysteresis converter with a domain structure
Matematičeskoe modelirovanie, Tome 33 (2021) no. 9, pp. 60-86

Voir la notice de l'article provenant de la source Math-Net.Ru

The work is devoted to generalization of one of the most "popular" constructive models of hysteresis – the Preisach converter (a continuous system of non-ideal relays connected in parallel). In many applied problems related to modeling hysteresis effects, where the domain structure of carriers of hysteresis properties is a priori assumed (multiple magnetization reversal of ferromagnetic components of electromagnetic systems, polarization of a ferroelectric depending on the electric field strength, dependence of employment on price in mono-commodity markets, etc.), one has to face with the need to take into account the uncertainties in the reactions of individual domains to external influences. In this paper, we propose an instrumental method that makes it possible to take into account such uncertainties by means of stochastic models of elementary carriers of hysteresis properties. The basic properties of discrete and continuous relay systems are considered, the parameters of which are treated as random variables, while the output of the relay system is represented as a random process. The correctness of the definition is investigated, in particular, the independence of the output (of a random process) from the sampling method within the limit transition from a discrete to a continual system of nonideal relays is established, and the controllability and monotonicity (within the framework of the corresponding definition) of the stochastic analogue of the Preisach converter are established.
Keywords: stochastic process, hysteresis, non-ideal relay, Preisach operator. 
@article{MM_2021_33_9_a4,
     author = {S. V. Borzunov and M. E. Semenov and N. I. Sel'vesyuk and P. A. Meleshenko and A. M. Solovyov},
     title = {Stochastic model of the hysteresis converter with a domain structure},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {60--86},
     publisher = {mathdoc},
     volume = {33},
     number = {9},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_9_a4/}
}
TY  - JOUR
AU  - S. V. Borzunov
AU  - M. E. Semenov
AU  - N. I. Sel'vesyuk
AU  - P. A. Meleshenko
AU  - A. M. Solovyov
TI  - Stochastic model of the hysteresis converter with a domain structure
JO  - Matematičeskoe modelirovanie
PY  - 2021
SP  - 60
EP  - 86
VL  - 33
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2021_33_9_a4/
LA  - ru
ID  - MM_2021_33_9_a4
ER  - 
%0 Journal Article
%A S. V. Borzunov
%A M. E. Semenov
%A N. I. Sel'vesyuk
%A P. A. Meleshenko
%A A. M. Solovyov
%T Stochastic model of the hysteresis converter with a domain structure
%J Matematičeskoe modelirovanie
%D 2021
%P 60-86
%V 33
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2021_33_9_a4/
%G ru
%F MM_2021_33_9_a4
S. V. Borzunov; M. E. Semenov; N. I. Sel'vesyuk; P. A. Meleshenko; A. M. Solovyov. Stochastic model of the hysteresis converter with a domain structure. Matematičeskoe modelirovanie, Tome 33 (2021) no. 9, pp. 60-86. http://geodesic.mathdoc.fr/item/MM_2021_33_9_a4/