Inverse Magnetostriction Model of Electrical Steel Sheet under DC Bias Based on Energetic and Improved Jiles-Atherton-Sablik Models
Hao Chen, Lin Li, Yaqi Wang
Abstract
Hao Chen, Lin Li, Yaqi Wang
Abstract
Magnetostriction is the cause of transformer iron core vibration, and the presence of DC bias will exacerbate this phenomenon. Therefore, establishing the magnetostriction model of electrical steel sheet under DC bias is a significant issue in the transformer core iron vibration analysis. In this paper, considering the effect of DC bias, a novel inverse magnetostriction model is proposed by combining the dynamic Energetic model and the improved Jiles-Atherton-Sablik (J-A-S) model. Firstly, the DC magnetic induction component is superimposed on the sinusoidal magnetic induction to simulate the DC bias effect. Then, the magnetic field under DC bias is calculated using the dynamic Energetic model and used as input of the improved J-A-S model to calculate the magnetostriction. Finally, according to the nonlinear constitutive law of magnetic materials, the magnetostriction model is converted into an inverse model with magnetic induction as input. The simulation and experiment results are compared to verify the effectiveness of the proposed model.
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Magnetostriction is the cause of transformer iron core vibration, and the presence of DC bias will exacerbate this phenomenon. Therefore, establishing the magnetostriction model of electrical steel sheet under DC bias is a significant issue in the transformer core iron vibration analysis. In this paper, considering the effect of DC bias, a novel inverse magnetostriction model is proposed by combining the dynamic Energetic model and the improved Jiles-Atherton-Sablik (J-A-S) model. Firstly, the DC magnetic induction component is superimposed on the sinusoidal magnetic induction to simulate the DC bias effect. Then, the magnetic field under DC bias is calculated using the dynamic Energetic model and used as input of the improved J-A-S model to calculate the magnetostriction. Finally, according to the nonlinear constitutive law of magnetic materials, the magnetostriction model is converted into an inverse model with magnetic induction as input. The simulation and experiment results are compared to verify the effectiveness of the proposed model.
Key concepts: Magnetostriction, DC bias, Transformer, Electrical steel, Inverse, Magnetic field, Electromagnetic induction, Nonlinear system