Plenty of switching devices in MMC for electromagnetic transient simulation program (e.g., PSCAD/EMTDC) brings a huge amount of calculation which makes the simulation speed very slow, simulation research and engineering design great inconvenient. Through further derivation capacitance and inductance Dommel electromagnetic transient numerical calculation method, history current source recursion formula in the calculation of capacitance and inductance is got, which reduces intermediate computations of branch current and thus speeds up the calculation. Quickly model of MMC electromagnetic transient is built based on the proposed history current source recursive formula, and MMC-HVDC system with different terminals and different levels is set up in the PSCAD/EMTDC, which validates the simulation precision and speed acceleration of the quick model.