Research On The Magnetostrictive Model Of Silicon Steel Sheet Based On JA Hysteresis Model

At present,there are more and more researches on the hysteresis model of magnetic materials,but there is no uniform standard for magnetostrictive characteristic of silicon steel at home and abroad.It is still an urgent problem to be solved.The main reason for the vibration noise of iron cores is magnetostriction.In order to analyze the mechanism of the vibration in silicon steel caused by magnetostriction and provide theoretical basis for reducing the noise,the research on the magnetostrictive property has an important significance on silicon steel.The research of this thesis mainly includes the following aspects:First,measurement of magnetic characteristics.Based on the single sheet measurement system,the important data such as B-H loops and?-H loops of non-oriented silicon steel and oriented silicon steel was obtained.The magnetic properties of the non-oriented silicon steel in the rolling direction and the vertical rolling direction were measured,and the anisotropic property of the magnetostriction was analyzed.It provides detailed and accurate data for the numerical calculation of vibration for electrical equipment such as transformers.Second,establishment of magnetostrictive model.The experimental phenomenon was analyzed.Based on the magnetic domain motion mechanism,the parameter k₁ related to magnetic domain rotation was introduced.The traditional J-A hysteresis model was improved.And combing it with the quadratic domain rotation model,the magnetostrictive model for silicon steel was derived.It was applied to three different working conditions of ideal sine,DC bias and harmonic influence to verify the accuracy of the model.Third,determination of the model parameters.First,the parameters in the model were analyzed.The particle swarm optimization algorithm was used to identify the magnetostrictive model parameters M_s,a,?,c,k₀,k₁,?_s,which makes the magnetostrictive model be more accurate.The parameters obtained by the solution were brought into the model,and the hysteresis and magnetostriction of the silicon steel under sinusoidal excitation,DC bias and harmonic influence were analyzed respectively.The selected silicon steel sheets include non-oriented silicon steel1820518001 and oriented silicon steels 18221955047 and B27R085.Fourth,verification of model.The calculated results of the model and the experimental results were compared in different service conditions,the hysteresis loop and the magnetostrictive loop of the non-oriented silicon steel and the oriented silicon steel have a high degree of coincidence,and the error of the magnetostrictive response was controlled at 2%,which indicates that the model can describe the hysteresis and magnetostrictive characteristics of silicon steel accurately.It has a wide applicability to the magnetostrictive characteristic of silicon steel under service conditions.The magnetostrictive model proposed in this thesis is based on the improved J-A hysteresis model,and then combing it with the quadratic domain rotation model which describes the relationship between magnetostriction?and magnetization M.The model can predict the magnetostrictive property of silicon steel well.It provides specific theoretical analysis and data support for the condition where the hysteresis property is easy to measure but the magnetostrictive property is difficult.It lays a solid foundation for the model establishment of transformer core vibration.