At present

the research and development of doubly-fed induction machine based variable-speed pumped storage（DFIM-VSPS） are still in its infancy

and its system modeling

stability analysis and control are worthy of further study.Therefore

the electromechanical transient model of DFIM-VSPS is studied is this paper. The influence of variable-speed operation on efficiency is taken into consideration

and the dynamic response of DFIM-VSPS model is compared under different water dynamic models. Model predictive control（MPC） is proposed for power control of DFIM-VSPS

and the control effect of MPC under various working conditions

as well as the influence of delay on control effect

is studied. The results show that

compared with conventional control

MPC has better control performance and good robustness in the scenarios of large disturbances and fluctuation smoothing of wind power. The research can provide a certain reference for the control of DFIM-VSPS.