Due to the outstanding rapidity of the electromagnetic repulsion actuator (EMRA), it has a good application prospect for DC breakers. The Finite Element Method (FEM) was the mainly discussed simulation method in the previous researches. It is time-consuming and not suitable for optimizing the parameters of EMRA. An equivalent circuit method (ECM) for the Coil-Coil type EMRA is established to simulate its dynamic procedure. In the equivalent circuit equation, lumped equivalent inductance which contributes to the induced electromotive force (EMF) is used to reflect the coupling effect of distribute electromagnetic field on electric circuit, the gradient of equivalent inductance which contributes to the motional EMF reflecting the coupling effect of mechanical motion on electric circuit and the equivalent resistance that varies with temperature reflecting the coupling effect of temperature field on electric circuit. The lumped equivalent inductance and its gradient are extracted by solving static magnetic field based on FEM. By solving the state equations, current-versus-time curve, electromagnetic force-versus-time curve, temperature-versus-time curve, velocity-versus-time curve and displacement-versus-time curve can be obtained. To verify this model, the results of the model based on ECM are compared with that of the corresponding model based on FEM, and as expected, they are in good consistence.