Abstract: Coupled inductor power converters are prone to power-imbalance due to the difference in coupled inductor impedance and inductance. A decoupled power-balancing control strategy based on model predictive control（MPC）for coupled inductor interleaved flying capacitor bi-directional DC/DC converters is proposed in this paper. By analyzing the working principle and constructing the mathematical model based on inductor current decoupling of the converter,the decoupled control method of the six control variables including the inductor currents and the flying capacitor voltages are obtained. On this basis,a decoupled power-balancing control strategy based on MPC is proposed. Meanwhile,in order to reduce the computational burden of the MPC algorithm,the model predictive cost function is reconstructed according to the decoupled control model,and the independent dynamic optimization of each control variable is realized,so that the system can stably control the output voltage and the flying capacitor voltage while realizing powerbalancing control with two-phase coupled inductor. Finally,the proposed strategy is effectively verified through theoretical analysis and experiments.