Abstract
To accurately predict the eddy current loss of silicon steel laminations over broadband frequency range, an improved parametric magneto dynamic model (IPMD) is proposed in this paper. According to the nonuniform distribution of magnetic field in the cross-section of the silicon steel lamination under high-frequency magnetization, the analysis area of the lamination is divided into several slices by nonlinear segmentation, wherein each slice the magnetic field distribution is regarded as uniform. Meanwhile, to accelerate the calculation speed of the IPMD model, the relationship between skin depth and slice number is deduced and verified. Furthermore, the Tellinen (TLN) hysteresis model is used when implementing the IPMD model to further increase the accuracy of eddy current loss calculation.
Highlights
Establishing an accurate and efficient soft loss prediction model is significant to the operation efficiency analysis and structural optimization design of electrical equipment.1–3 At state of the art, lots of iron loss prediction models have been proposed, such as the Steinmetz method,4 Bertotti model,5,6 et al Among them, the Bertotti model combined with the concept of magnetic domain divides the total iron loss into hysteresis loss, eddy current loss and excess loss, which has good versatility
To verify the accuracy of the proposed method, the hysteresis loss and excess loss calculated by the Bertotti model are superimposed with the eddy current loss calculated by the improved parametric magneto dynamic model (IPMD) model to obtain the calculation results of total iron loss
The IPMD model proposed in this paper can accurately calculate the iron loss under different magnetic flux densities at high frequencies
Summary
Establishing an accurate and efficient soft loss prediction model is significant to the operation efficiency analysis and structural optimization design of electrical equipment. At state of the art, lots of iron loss prediction models have been proposed, such as the Steinmetz method, Bertotti model, et al Among them, the Bertotti model combined with the concept of magnetic domain divides the total iron loss into hysteresis loss, eddy current loss and excess loss, which has good versatility. To solve the inaccurate prediction of eddy current loss at high frequency, the fractional derivative method is introduced to calculate eddy current loss.. To solve the inaccurate prediction of eddy current loss at high frequency, the fractional derivative method is introduced to calculate eddy current loss.8 These methods have the characteristics of lack of physical background. By dividing silicon steel laminations into appropriate slices, the PMD model can consider the influence of the skin effect at high frequency. Still, this method should be further improved according to the parameter of the skin depth. The accuracy of eddy current loss calculation is enhanced by the coupling with the TLN hysteresis model. The calculated results of iron loss at high frequencies are in good agreement with the measured results
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