Abstract

The main part of the magnetic fluxgate sensor is the magnetic core, the hysteresis characteristic of which affects the performance of the sensor. When the fluxgate sensors are modelled for design purposes, an accurate model of hysteresis characteristic of the cores is necessary to achieve good agreement between modelled and experimental data. The Jiles-Atherton model is simple and can reflect the hysteresis properties of the magnetic material precisely, which makes it widely used in hysteresis modelling and simulation of ferromagnetic materials. However, in practice, it is difficult to determine the parameters accurately owing to the sensitivity of the parameters. In this paper, the Biogeography-Based Optimization (BBO) algorithm is applied to identify the Jiles-Atherton model parameters. To enhance the performances of the BBO algorithm such as global search capability, search accuracy and convergence rate, an improved Biogeography-Based Optimization (IBBO) algorithm is put forward by using Arnold map and mutation strategy of Differential Evolution (DE) algorithm. Simulation results show that IBBO algorithm is superior to Genetic Algorithm (GA), Particle Swarm Optimization (PSO) algorithm, Differential Evolution algorithm and BBO algorithm in identification accuracy and convergence rate. The IBBO algorithm is applied to identify Jiles-Atherton model parameters of selected permalloy. The simulation hysteresis loop is in high agreement with experimental data. Using permalloy as core of fluxgate probe, the simulation output is consistent with experimental output. The IBBO algorithm can identify the parameters of Jiles-Atherton model accurately, which provides a basis for the precise analysis and design of instruments and equipment with magnetic core.

Highlights

  • The fluxgate sensor is a kind of sensor which can measure a weak magnetic field by using the nonlinear relationship between the magnetic flux density B and the magnetic field strength H [1,2].In order to analyze, design and optimize fluxgate sensor, simulations are necessary

  • A set of data is selected as the parameters of the Jiles-Atherton model

  • According to the numerical solutions, the parameters of the Jiles-Atherton model are determined by improved Biogeography-Based Optimization (IBBO) method

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Summary

Introduction

The fluxgate sensor is a kind of sensor which can measure a weak magnetic field by using the nonlinear relationship between the magnetic flux density B and the magnetic field strength H [1,2]. The Jiles-Atherton model is derived from the physical process of magnetic hysteresis and described by a first-order differential equation with five parameters. It is relatively simple in mathematical expressions and more accurate, which makes it a widely used hysteresis model in applications [8]. The IBBO algorithm is used to identify the parameters of Jiles-Atherton model for magnetic core. Jiles-Atherton model parameters of a magnetic core at the same time, the simulation results show that the IBBO algorithm has the advantages of high precision and fast convergence rate. According to magnetic hysteresis data of the selected permalloy by experiment, the IBBO algorithm is applied to identify the parameters of the Jiles-Atherton model for the selected material. The IBBO algorithm is a new method for parameters identification of the Jiles-Atherton model

Measurement of Dynamic Hysteresis Loop
Image of and measurements
Introduction of BBO Algorithm
Migration Operator
Mutation Operator
Improved BBO Algorithm
Generating Initial Populations by Arnold Map
Improving Migration Equation by DE Mutation Strategy
Steps of Identification the Jiles-Atherton Model Parameters with IBBO
Simulation Results for Theoretical Data
Simulation for Experimental
Results for Experimental
Conclusions
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