As a new solution of HVDC, hybrid multi-terminal HVDC combines the merits of LCC-HVDC and VSC-HVDC. Firstly, an electromagnetic transient model is constructed for a parallel hybrid three-terminal HVDC transmisstion project using PSCAD/EMTDC program. Secondly, two different strategies defined as the inverter voltage control and rectifier voltage control are proposed for the hybrid multi-terminal HVDC and change of the system operation point is researched in detail. At last, the effectiveness of the strategies is verified in the simulation of the constructed model, and the AC fault responses under different strategies are comparatively analyzed.