In this paper, a single-phase five-level rectifier with coupled inductors is studied. First,\na discrete mathematical model of a single-phase five-level rectifier is created in two-phase.\nA traditional single vector finite control set model predictive control (FCS-MPC) algorithm is\nimproved to overcome the problems of a varying switching frequency, the large amount of time\nneeded for calculation, and the inaccurate setpoint of current loop tracking. Then, the objective\nfunction of the system is established, and a simple objective function is used instead of an iterative\noptimization of the traditional FCS-MPC algorithm. At the same time, to eliminate the delay error\nand to reduce harmonic distortion, deadbeat control technology is introduced. Finally, the simulation\nand experimental results show that the improved model predictive current control algorithm not\nonly retains the fast response of traditional model predictive control, but also has the advantages of\nfixed switching frequency, small calculation time, and small current steady-state error.
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