Parameter identification and application of Jiles-Atherton model for Fe-based nanocrystalline cores under pulsed excitation
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摘要: 通过理论分析对经典J-A方程进行了修正，增强了其在脉冲条件下的适应性，利用脉冲磁化特性实验平台，测量了铁基纳米晶磁芯在不同磁化速率下的磁滞回线，采用遗传算法进行脉冲激励下的J-A参数辨识，将算法模拟的磁滞回线与实验测试的磁滞回线数据集进行拟合，验证了修正后的J-A方程的有效性，最后将遗传算法寻优得到的J-A参数应用于脉冲变压器场路耦合模型的磁芯J-A参数定义中，分析脉冲变压器初级电压为1.5 kV时的仿真与实验误差，得到脉冲变压器输出波形的脉冲前沿误差为3.33%，幅值误差为2.91%，相比于J-A参数的常规非线性求解方法精度更高，能更好地应用于脉冲功率系统中含磁性元件的建模仿真。
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关键词:
- 铁基纳米晶 /
- 脉冲磁化特性 /
- Jiles-Atherton模型 /
- 遗传算法 /
- 脉冲变压器
Abstract: The classical Jiles-Atherton (J-A) equation has been modified through theoretical analysis, which enhances its adaptability under pulsed conditions. Hysteresis loops of Fe-based nanocrystalline cores are measured at different magnetization rates by using an experimental platform for pulsed magnetization properties. The genetic algorithm (GA) is used for J-A parameter identification under pulsed excitation, and the validity of the modified J-A equations is verified by fitting the algorithmically simulated hysteresis loops to the experimentally tested hysteresis loop dataset. Finally, the J-A parameter obtained by GA optimization are applied to the definition of magnetic core parameters in the field-circuit coupling model of the pulse transformer, the simulation and experimental errors when the primary voltage of the pulse transformer is 1.5 kV are analyzed. The results show that the pulse front error of the output waveform is 3.33% and the amplitude error is 2.91%, which is more accurate than the conventional nonlinear solving method of J-A parameter. This indicates that the optimized J-A parameter can be better applied to the modeling and simulation of magnetic-containing components in pulsed power systems. -
图 2 脉冲激励下磁芯测试系统示意图
Figure 2. Schematic diagram of magnetic core test system under pulse excitation
图 8 不同磁化速率下的铁基纳米晶磁芯磁滞回线拟合图
Figure 8. Hysteresis loops fit of Fe-based nanocrystal cores at different magnetization rates
表 1 初始编码表
Table 1. Initial coding table
$ M_{\mathrm{s}}/(\mathrm{A\cdot m^{-1}}) $ $ k/(\mathrm{A\cdot m^{-1}}) $ c $ \alpha/(\mathrm{A\cdot m^{-1}}) $ a superiority-seeking boundaries 0.5×106～1.0×106 1～50 0～10 1.0×10−6～1.0×10−4 0～20 coding boundaries 0.5×106～1.0×106 10～500 0～104 1～100 0～2×103 
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表 2 不同磁化速率下J-A参数辨识结果及相对误差值
Table 2. J-A parameter identification results and relative error values at different magnetization rates
magnetization rate/(T·μs−1) $ {M_{\mathrm{s}}}/({\rm{A}} \cdot {{\rm{m}}^{ - 1}}) $ $ k/({\rm{A}} \cdot {{\rm{m}}^{ - 1}}) $ c $ \alpha /({\rm{A}} \cdot {{\rm{m}}^{ - 1}}) $ a $ {\rm{error}}/{\text{%}} $ 1.5 767287 39.0 5.745 6.90×10−5 0.05 6.060 2.0 757373 20.5 0.013 7×10−6 9.45 2.553 2.4 815590 12.9 0.004 5×10−6 17.60 2.552 3.3 751982 31.3 0.032 6.7×10−5 16.41 4.991
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表 3 脉冲前沿误差及脉冲幅值的相对误差表
Table 3. Table of relative errors of pulse front error and pulse amplitude
pulse front/μs pulse amplitude/kV experimental value simulation value error/% experimental value simulation value error/% modified J-A model with GA 4.967 4.807 3.33 100.028 97.199 2.91 experimental and simulation data
from Ref. [2]5.0 5.445 8.0 100 110.020 9.0
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