Stochastic Model of a Hysteresis Converter with a Domain Structure

Borzunov, Sergei; Семенов, Михаил Е.; Selvesyuk, N. I.; Meleshenko, Peter A.; Solovyov, Andrey M.

doi:10.1134/s207004822202003x

Cited by 5 publications

(3 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the internal parameters of the hysteresis subsystem in these works were considered deterministic. A generalization of one of the simplest hysteresis model such as a generalized backlash has been considered in [95][96][97]: its defining curves were assumed to be subject to random disturbances, and the output of such a converter was treated as a random process. In the above papers, the correctness of the corresponding definition was proved and the basic properties of a stochastic converter were studied.…”

Section: Stochastic External Excitation and Non-deterministic Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

The Preisach model is a well-known model of hysteresis in the modern nonlinear science. This paper provides an overview of works that are focusing on the study of dynamical systems from various areas (physics, economics, biology), where the Preisach model plays a key role in the formalization of hysteresis dependencies. Here we describe the input-output relations of the classical Preisach operator, its basic properties, methods of constructing the output using the demagnetization function formalism, a generalization of the classical Preisach operator for the case of vector input-output relations. Various generalizations of the model are described here in relation to systems containing ferromagnetic and ferroelectric materials. The main attention we pay to experimental works, where the Preisach model has been used for analytic description of the experimentally observed results. Also, we describe a wide range of the technical applications of the Preisach model in such fields as energy storage devices, systems under piezoelectric effect, models of systems with long-term memory. The properties of the Preisach operator in terms of reaction to stochastic external impacts are described and a generalization of the model for the case of the stochastic threshold numbers of its elementary components is given.

show abstract

Section: Stochastic External Excitation and Non-deterministic Systemsmentioning

confidence: 99%

The Preisach model of hysteresis: fundamentals and applications

Semenov,

Borzunov,

Meleshenko

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…A number of studies [2][3][4][5][6] have suggested the completion of dynamic models of socioeconomic processes with hysteretic elements. Thus, ref.…”

Section: Purpose/backgroundmentioning

confidence: 99%

A Model of Optimal Production Planning Based on the Hysteretic Demand Curve

et al. 2022

View full text Add to dashboard Cite

The article considers a hysteretic model of consumer behaviour in mono-product markets. Demand generation with regard to an individual consumer is modeled using a non-ideal relay with inverted thresholds. Therefore, the sales rate is defined as an analogue of the Preisach converter. The article considers the problem of the optimal production, storage, and distribution of goods, taking into account the hysteretic nature of the demand curve. The problem is reduced to a non-classical optimal control problem with hysteretic non-linearities. The latter is solved using Pontryagin’s maximum principle. The adopted economic model is based on the binary relationship of consumers to the product: the product is bought or the product is not bought. Transitions between these states are determined within the framework of our model only by the price of the goods; therefore, only the operator of a non-ideal relay can accurately describe such a dependence. The article presents the results of computational experiments illustrating the theoretical assumptions.

show abstract

“…Among the structural models of hysteresis non-linearities, the Preisach operator [ 50 , 51 , 52 ] plays an important role. This model was originally formulated to describe the properties of ferromagnetic materials [ 53 ]; later its applicability to a wide range of phenomena was proved from various scientific and practical problems [ 54 , 55 ]. The Preisach model is based on a non-linear operator, which is a continuum system of relays connected in parallel.…”

Section: Introductionmentioning

confidence: 99%

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

et al. 2023

View full text Add to dashboard Cite

In this article, a model of an energy harvester, the mechanical part of which is an inverted pendulum, is proposed. We investigated the stability of a linearized system. It was proven that the stabilizing control of the pendulum, based on the feedback principle, enables the stabilization of the system. We have identified the zones of stability and the amplitude–frequency characteristics. In the second part of this article, a generalization of the dynamic system for the case of the hysteresis friction in the mechanical joint is considered. The role of nonlinear effects within the design Preisach model and the phenomenological Bouc–Wen model is shown.

show abstract

Stochastic Model of a Hysteresis Converter with a Domain Structure

Cited by 5 publications

References 42 publications

The Preisach model of hysteresis: fundamentals and applications

The Preisach model of hysteresis: fundamentals and applications

A Model of Optimal Production Planning Based on the Hysteretic Demand Curve

A Simple Model of the Energy Harvester within a Linear and Hysteresis Approach

Contact Info

Product

Resources

About