Optimized Design of Cylindrical Uniform-Field Coil System With Particle Swarm Algorithm for Calibrating Induction Magnetometer

To calibrate induction magnetometer with high precision, a cylindrical uniform-field coil system design method is proposed, which combines forward method with reverse design method in this article. The optimized cost function of coil design is set to the average field error within the target region to minimize the error of induction magnetometer calibration caused by uniform-field coil system. The particle swarm algorithm is applied to solving each group of coil's position and number of turns in the coil optimized design. According to the finite element analysis, the average error of the optimized coil in the target area is 0.009%, which is reduced by eight times than that of the Lee-Whiting coil system (0.075%). The experimental results of coil constant and magnetic fields along the axial were in good agreement with the simulation results. In addition, calibration experiments of three sets of induction magnetometers were carried out, whose experimental results show that the error of calibration using the optimized coil are all less than those of the Lee-Whiting coil system.