Lumped parameter modelling of ferroelectric ceramics for control applications using simulink

TL;DR

This paper presents a Simulink-based lumped parameter model of ferroelectric ceramics to facilitate control system design, capturing dielectric and hysteresis behaviors effectively.

Contribution

It introduces a novel lumped parameter modeling approach for ferroelectric ceramics using Simulink, enabling simplified yet accurate control system applications.

Findings

Successful simulation of dielectric behavior

Effective modeling of butterfly hysteresis

Potential for displacement control system design

Abstract

Simplifying the constitutive behaviour of a material in terms of the lumped parameter elements is useful to design plant models in control engineering. In this contribution, a lumped parameter modelling approach is used to represent the constitutive behaviour of ferroelectric ceramics. Using the elements available in simulink, an electrical circuit is designed to simulate the ferroelectric behaviour. The simulation results of dielectric and butterfly hysteresis shows the possibility of applying the lumped parameter modelling approach in the design of displacement control systems.