Under the background of high proportion of renewable energy grid connection in the new power system, hydrogen energy, due to its advantages of cross-period energy storage and multi-form conversion, has become an important support for improving the flexibility and reliability of the system. This paper focuses on the problem of real-time optimization scheduling of the power system involving hydrogen energy, builds a hydrogen-electric coupling operation model, sets up the collaborative mechanism of electrolyzers, hydrogen storage devices and fuel cells, and on this basis, introduces the model predictive control strategy to form a scheduling framework for the rolling time domain. Moreover, reliability assessment is carried out by combining indicators such as load shedding rate, energy supply sufficiency and equipment availability rate. The simulation results show that the established model reduces the wind and solar energy rejection rate by 18.7%, lowers the operation cost by 12.4%, increases the power supply reliability rate of the system to 99.36%, and controls the average power deviation in load fluctuation scenarios within 3.8%. The research indicates that the synergy of hydrogen energy and MPC can effectively enhance the real-time regulation ability and overall safe operation level of the new power system.