The Ultra-Sparse Matrix Converter (USMC) has the advantages of fewer switches and simple control compared with the Two-Stage Matrix Converter (TSMC), which has drawn increasing amounts of attention in recent years. For the traditional TSMC direct-driven wind-power generation system, the number of switches is larger and the control is more complex. However, the replacement of TSMC with USMC would make it easier to control and enables the energy flow to meet the requirements of direct-driven wind-power generation systems. In this paper, the SVPWM control strategy for USMC is analyzed and deduced, and the switch modulation sequence and the mathematical model of each part of USMC direct drive wind power generation system are given. Finally, the model of USMC direct-driven wind-power generation is built by Matlab/Simulink software. The simulation results verify the feasibility of the control strategy and model, which lays a theoretical foundation for the realization of the USMC direct-driven wind-power generation system. This work is supported by National Natural Science Foundation of China (No. 5160070515).