Simplified models for calculating stator flux and torque of surface permanent magnet synchronous motor (SPMSM) at the next moment in the stator flux coordinate system are proposed. It is verified that these models can be used in deadbeat stator flux and torque control system. Moreover, the complexity of the deadbeat control calculation is reduced and the real-time performance of the system is improved. Model predictive control (MPC) is used to select a basic voltage vector as output voltage vector, which is the nearest to ideal output voltage vector calculated in deadbeat torque and stator flux control system. Simulation results testify the effectiveness of the proposed control system. In order to further improve the real-time performance, two simplified methods to determine the basic voltage vector are given. Simulation results show that the control performance using these simplified methods is almost the same as using MPC. As the calculation in MPC is not needed, the system calculation burden is reduced.