非正弦激励下纳米晶材料高频磁心损耗的计算方法改进与验证

doi:10.19595/j.cnki.1000-6753.tces.211593

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Abstract Soft magnetic materials are widely used in the cores of various electrical equipment, and the accurate calculation of the core loss is related to the efficiency of the equipment. Especially the accurate calculation of core loss under the condition of high frequency non-sinusoidal excitation is an important part of the optimal design of power electronic devices such as inverters, power electronic transformers and high frequency reactors.
In this paper, the calculation methods of core loss under non-sinusoidal excitation are summarized, and several improved Steinmetz empirical formulas are compared, and it is concluded that WcSE (waveform coefficient Steinmetz equation) is superior to other modified formulas in principle. The influence of magnetization process on core loss is analyzed from the principle of loss, and the conclusion that the change rate of magnetic induction intensity dB/dt is the key factor affecting core loss. Based on the waveform coefficient formula of WcSE the influence of dB/dt on loss is introduced, and an improved WcSE correction formula IWcSE (improve waveform coefficient Steinmetz equation) is proposed for the calculation model of high-frequency non-sinusoidal core loss. Moreover, the loss calculation expression of the new model under high-frequency square wave and rectangular wave excitation is derived.
Then, a magnetic property test system for soft magnetic materials under high-frequency non-sinusoidal excitation was constructed, and the high-frequency magnetic characteristics experiments under square wave and rectangular wave excitation with different duty cycles were carried out on two ring nanocrystalline samples (FT-3KL and FT-3KS) in the frequency range of 10~70 kHz, and the experimental measurements of core loss under square wave and rectangular wave excitation were obtained.
Finally, the experimental values and the calculated values of several modified Steinmetz models are compared. The comparison results show that WcSE is accurate at 0.5 duty cycle, but worse at other duty cycles. But the introduction of magnetic induction intensity change rate dB/dt can overcome the defect of WcSE independent of duty cycle, so IWcSE can reflect the change trend of core loss with nonlinear change of duty cycle.
The improved new model can achieve good prediction of core loss under the condition of unsaturated magnetic density in the frequency range of 10~70 kHz at square wave and rectangular wave excitation. Especially at high-frequency and low magnetic density, the calculated values of the two nanocrystalline magnetic rings are completely consistent with the experimental values. It makes up for the defect that the accuracy of core loss calculation of MSE (modified Steinmetz equation), IGSE (Improved generalized Steinmetz equation) and WcSE which are seriously reduced at frequencies exceeding 20 kHz. That verify the accuracy of IWcSE. In order to further verify the accuracy of the improved model, the error analysis of the calculated values shows that the average error of WcSE is the largest, the MSE is large, the IGSE is the second, and the IWcSE is the smallest. Moreover, the average error of IWcSE is less than 20%, which has good stability under different duty cycles and different frequencies, which verifies the universal applicability and calculation accuracy of this improved formula.

Key words： Nanocrystalline core loss non-sinusoidal excitation Steinmetz experience equation

Received: 08 October 2021

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TM271

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	Liu Huan
	Li Yongjian
	Zhang Changgeng
	Mu Shenghui
	Jin Chuhao

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Liu Huan,Li Yongjian,Zhang Changgeng等. Calculation and Experimental Verification of Core Loss in High Frequency Transformer under Non-Sinusoidal Excitation[J]. Transactions of China Electrotechnical Society, 2023, 38(5): 1217-1227.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.211593 OR https://dgjsxb.ces-transaction.com/EN/Y2023/V38/I5/1217

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