付裕恒, 李琳. 计及压应力对磁场强度各分量影响的无取向硅钢磁弹性耦合动态磁滞模型[J]. 中国电机工程学报, 2025, 45(7): 2832-2844. DOI: 10.13334/j.0258-8013.pcsee.232643
引用本文: 付裕恒, 李琳. 计及压应力对磁场强度各分量影响的无取向硅钢磁弹性耦合动态磁滞模型[J]. 中国电机工程学报, 2025, 45(7): 2832-2844. DOI: 10.13334/j.0258-8013.pcsee.232643
FU Yuheng, LI Lin. Magnetoelastic Coupled Dynamic Hysteresis Model of Non-oriented Silicon Steel Sheet Considering the Influence of Compressive Stress on Components of Magnetic Field Strength[J]. Proceedings of the CSEE, 2025, 45(7): 2832-2844. DOI: 10.13334/j.0258-8013.pcsee.232643
Citation: FU Yuheng, LI Lin. Magnetoelastic Coupled Dynamic Hysteresis Model of Non-oriented Silicon Steel Sheet Considering the Influence of Compressive Stress on Components of Magnetic Field Strength[J]. Proceedings of the CSEE, 2025, 45(7): 2832-2844. DOI: 10.13334/j.0258-8013.pcsee.232643

计及压应力对磁场强度各分量影响的无取向硅钢磁弹性耦合动态磁滞模型

Magnetoelastic Coupled Dynamic Hysteresis Model of Non-oriented Silicon Steel Sheet Considering the Influence of Compressive Stress on Components of Magnetic Field Strength

  • 摘要: 无取向硅钢片广泛用于电机等各类电工装备中,其磁化与损耗特性受压应力影响显著。现有考虑压应力的磁滞模型存在模拟精度低、参数依赖应力关系不明确等问题。该文基于损耗统计理论与场分离法,分析压应力对于无取向硅钢磁滞损耗、涡流损耗以及剩余损耗对应磁场强度分量的影响。在原始Energetic模型中,引入了压应力引起的能量密度项,推导得到压应力引起静态磁场强度变化表达式,用以计算静态磁场强度;明确弹性限度内宏观涡流损耗对应的磁场强度不受压应力影响;基于实验与磁畴理论定义等效应力,并推导剩余损耗参数V0表达式,计算剩余损耗对应的磁场强度,最终计算得到动态磁场强度并建立动态磁滞模型。模型计算结果与实验结果表明:所提动态模型参数与压应力关系明确,且具有较高的模拟精度与实用性。

     

    Abstract: Non-oriented silicon steel sheets are widely used in various electrical equipment such as motors, and their magnetization and loss characteristics are significantly influenced by compressive stress. The existing hysteresis models considering compressive stress have problems such as low simulation accuracy and unclear parameter-dependent stress relationship. In this paper, based on the loss statistical theory and the field separation method, the effects of compressive stress on the magnetic field strength corresponding to hysteresis loss, eddy current loss and residual loss components are analyzed separately. In the original Energetic model, it introduces the energy density caused by compressive stress and derives the expression for the change in static magnetic field strength due to compressive stress, and then calculates the static magnetic field strength. It is clear that the magnetic field strength corresponding to the macroscopic eddy current loss within the elastic limit is not affected by compressive stress. Based on experiments and domain theory, it defines equivalent stress, derives the expression for the residual loss parameter V0 and calculates the magnetic field strength corresponding to residual loss. Finally, the dynamic magnetic field intensity is calculated and the dynamic hysteresis model is established. The model calculation results and experimental results show that the proposed dynamic model parameters have a clear relationship with compressive stress and demonstrate high accuracy and practicality.

     

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