The contribution of this paper is putting forward a kind of ion accelerator magnet excitation power supply with bidirectional reduced matrix converter (BRMC) as well as a coordination control strategy with bipolar current space vector modulation strategy, which is utilized to realize bidirectional power flow for a BRMC system to solve problems such as low input power factor, large input current harmonics and no bidirectional energy in the conventional ion accelerator magnet excitation power supply. Meanwhile, a hybrid commutation strategy combining the simplified three-step commutation with zero vector commutation was proposed to solve the commutation problem for a matrix-type first stage in BRMC. The feasibility and effectiveness of the proposed strategy, which can achieve bidirectional energy flow and safer commutation, have been verified by the experimental results.