Abstract: Under the co-excitation working mode of AC and DC, the magnetization and electromagnetic vibration characteristics of magnetically controlled reactor(MCR) will change greatly under the influence of DC bias. To accurately simulate the magnetization and vibration characteristics of materials under DC bias, this paper is based on the vector magnetostrictive inverse model and the magnetic characteristic measurement curves of the electrical steel sheet, and the velocity-controlled particle swarm optimization(VCPSO) algorithm is used to optimize the model parameters. Moreover, the magnetization and magnetostriction characteristics of the steel sheet are analyzed, and the experimental and simulation curves are compared to verify the accuracy of the magnetization characteristics simulation. Secondly, by combining the vector magnetostriction inverse model with MCR finite element model, the vector electromagnetic vibration characteristics of MCR core under different DC bias are simulated, and the harmonic components of MCR core's displacement waveform are analyzed. Finally, the MCR vibration test system is built to verify the accuracy of the simulation model. The research results can provide a reference for the related research on the core vibration of MCR.