基于智能优化算法和有限元法的多线圈均匀磁场优化设计

针对多线圈均匀磁场优化设计中的高阶求导及优化结果可信度评估问题，提出一种基于智能优化算法和有限元法相结合的多线圈均匀磁场优化设计方法。首先，确定待优化参数，并以磁场偏差率作为目标函数；然后，采用智能优化算法对目标函数进行寻优；最后，基于优化得到的结构参数，建立相应的有限元仿真模型，检验优化结果的可信度。以2组亥姆霍兹线圈的结构参数优化为例，仿真结果表明，本文方法求得的最优参数优于传统的求导方法寻优得到的参数，且经过有限元法检验后，该优化结果的可信度得到了确认。 

Optimal design of multi-coil system for generating uniform magnetic field based on intelligent optimization algorithm and finite element method

To solve the problem of high-order derivation and reliability evaluation of optimization results in the multi-coil system magnetic field uniformity optimization design, an optimization design method based on intelligent optimization algorithm and finite element method is proposed. First, the parameters to be optimized are determined, and the magnetic field deviation rate is taken as the objective function. Then, the objective function is optimized by the intelligent optimization algorithm. Finally, based on the optimized structural parameters, the corresponding finite element numerical simulation model is established to verify the reliability of the optimization results. The structural parameters of two sets of Helmholtz coils are optimized. The simulation results show that the optimal parameters obtained by the proposed method are superior to the parameters obtained by traditional derivation method. And the reliability of the optimization results is confirmed by the finite element numerical method.