The new elastic potential energy storage system completes the energy storage process by driving the energy storage box with the PMSM (permanent magnet synchronous motor), The energy storage form of the energy storage box is elastic potential energy, and the storage medium is a large planar scroll spring. The installation structure and operating characteristics are complex. To achieve

stable and efficient energy storage in the system, it is first necessary to establish an accurate mathematical model to reveal the operating characteristics of the energy storage box, and complete the calculation and configuration model of its capacity and power; Secondly, a strong robust control algorithm is needed to achieve the fast torque response while effectively suppressing disturbances. In this paper, an accurate mathematical model of the energy storage system is established. Combined with the