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脉冲激励下铁基纳米晶磁芯的Jiles-Atherton模型参数辨识及应用

江进波 李毅 曹宇 蔡宛辰 姚延东 徐林

江进波, 李毅, 曹宇, 等. 脉冲激励下铁基纳米晶磁芯的Jiles-Atherton模型参数辨识及应用[J]. 强激光与粒子束, 2024, 36: 065002. doi: 10.11884/HPLPB202436.230363
引用本文: 江进波, 李毅, 曹宇, 等. 脉冲激励下铁基纳米晶磁芯的Jiles-Atherton模型参数辨识及应用[J]. 强激光与粒子束, 2024, 36: 065002. doi: 10.11884/HPLPB202436.230363
Jiang Jinbo, Li Yi, Cao Yu, et al. Parameter identification and application of Jiles-Atherton model for Fe-based nanocrystalline cores under pulsed excitation[J]. High Power Laser and Particle Beams, 2024, 36: 065002. doi: 10.11884/HPLPB202436.230363
Citation: Jiang Jinbo, Li Yi, Cao Yu, et al. Parameter identification and application of Jiles-Atherton model for Fe-based nanocrystalline cores under pulsed excitation[J]. High Power Laser and Particle Beams, 2024, 36: 065002. doi: 10.11884/HPLPB202436.230363

脉冲激励下铁基纳米晶磁芯的Jiles-Atherton模型参数辨识及应用

doi: 10.11884/HPLPB202436.230363
基金项目: 国家自然科学基金项目(51707105);强脉冲辐射环境模拟与效应全国重点实验室基金项目(SKLIPR2008)
详细信息
    作者简介:

    江进波,jinbojiang@163.com

  • 中图分类号: TN78

Parameter identification and application of Jiles-Atherton model for Fe-based nanocrystalline cores under pulsed excitation

  • 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。
  • 图  1  无磁滞磁化方程的分析

    Figure  1.  Analysis of the hysteresis-free magnetization equation

    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  3  典型电压和电流波形图

    Figure  3.  Typical voltage and current waveforms

    图  4  不同磁化速率下的脉冲磁滞回线

    Figure  4.  Pulsed hysteresis loops at different magnetization rates

    图  5  逆J-A方程求解流程图

    Figure  5.  Flow chart for solving the inverse J-A equation

    图  6  遗传算法流程图

    Figure  6.  Genetic algorithm flow chart

    图  7  交叉和变异的可视化操作

    Figure  7.  Visual manipulation of crossover and mutation

    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

    图  9  脉冲变压器工作电路图

    Figure  9.  Pulse transformer operating circuit

    图  10  次级输出电压波形对比图

    Figure  10.  Secondary output voltage waveform comparison

    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
    下载: 导出CSV

    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
    下载: 导出CSV

    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
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-10-20
  • 修回日期:  2024-01-17
  • 录用日期:  2023-12-24
  • 网络出版日期:  2024-04-07
  • 刊出日期:  2024-06-15

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