瞬变电磁-热-结构多物理场“亚强耦合”模型与数值方法研究

In virtual design of coil launcher, mathematical modeling and numerical solving are the key problems of transient calculations for coupling electromagnetic- thermal- structural fields. In this project a sub-strong coupling model between weak and strong coupling is proposed, which can both cover the model precision and calculation difficulty. Moreover, the transient numerical method of this sub-strong coupling model will be researched. By the test of influence of deformation on eddy current, the influence mechanism of strain velocity on eddy current change will be explore. And the influential intensity of the coupling strain velocity term will be revealed. By the simulation, comparison the stress and strain obtained by electromagnetic force and temperature, respectively, can reveal the influence mechanism of the coupling thermal stress term. Then the sub-strong coupling model can be constructed. Though researching the variational principle involving the convolution, space-time finite element equations of the sub-strong coupling model involving coupling terms will be obtained. Though analyzing the physical relevance between the time substep, spatial distribution of every field and coupling terms, the time and space discretization scheme can be determined. Then the transient field solution of space-time finite element can be achieved. Finally, the sub-strong coupling model and numerical solution of coil launcher will be realized. To modify the parameters of model, the results of calculation will be compared with experiment. The research achievements of this project, which have important theoretical significance and application value, can prove a new idea and method for the virtual design of electromagnetic devices.

瞬变电磁-热-结构多物理场耦合计算数学建模和数值求解是线圈发射器虚拟设计中的重要问题。本项目拟提出构建一种介于弱耦合和强耦合之间的“亚强耦合”模型，既保证模型精度又降低计算难度。并对该模型的瞬态场数值求解方法进行研究。通过变形对涡流影响的试验，探索应变速度对涡流变化影响机理，揭示应变速度耦合项影响强弱；并通过仿真计算对比电磁力和温度引起的应力应变大小，揭示热应力耦合项影响强弱，建立亚强耦合模型。通过研究含卷积运算的变分原理，建立计及耦合项的亚强耦合模型时空有限元方程。通过对每个时间步内各物理场时间子步和空间分布与耦合项强弱的物理关联分析，确定各物理场时间-空间离散格式，实现模型的时空有限元瞬态场求解。针对线圈发射器建立模型及数值求解，并与实验结果进行对比，修正模型参数。本项目的研究成果可为电磁装置虚拟设计的多物理场耦合分析建模与求解提供新思路和新方法，具有重要的理论意义和应用价值。

瞬变电磁-热-结构多物理场耦合计算数学建模和数值求解是电工装备虚拟设计中的重要问题。本项目提出在构建数学模型时，为了既保证模型精度又降低计算难度，应针对不同工程对象进行不同物理场对材料特性的影响，从而确定是否需要同时考虑双向影响的思想。并针对瞬态场数值求解方法进行研究，考虑不同物理场的不同时间尺度，对每个时间步内各物理场时间子步重新确定，确定各物理场时间离散格式，瞬态场求解时采用自适应时间步长。本项目的研究成果可为电磁装置的多物理场耦合分析建模与求解提供新思路和新方法，具有重要的理论意义和应用价值。并将电磁多物理场的数学建模与数值求解方法广泛应用于工程实际，面向电工装备的虚拟设计和智能运维提供理论支撑，在电网的应用也取得了良好效果，具有较好的应用前景。