In view of the problems of high cost and complicated parameters, the magnetic field simulation model of φ100 mm cold crucible experimental device is established by COMSOL simulation software, and the simulation experiments of high-frequency power supply and coil parameters are carried out. The optimal combination of high-frequency power supply parameters is predicted by neural network and simulated annealing algorithm. The magnetic field distribution, eddy current loss and energy utilization of cold crucible are simulated under different current intensity, frequency, coil height, turns, diameter and spacing. Based on the above simulation results, the neural network can quickly predict the magnetic field and eddy current loss under various power supply parameters, and finally use the simulated annealing algorithm to predict the optimal combination of power supply parameters. The simulation results show that after parameter optimization, the magnetic field uniformity can be greatly improved, the melting effect can be improved, the energy utilization rate can be increased by 68%, and energy waste can be avoided. These results preliminarily verify the improvement effect of high-frequency power supply and coil parameter optimization on magnetic field distribution and energy use efficiency, which can provide an important basis for the optimization design of power supply parameters and coil parameters of the following cold crucible engineering prototype.