IntroductionWith the advantages of low voltage harmonic, high power factor and bidirectional energy flow, multi-level active front end (AFE) converter has been widely used in active power filter, reactive power compensation, and new energy grid generation and so on [1]. The control targets of the multi-level converter are not only to adjust the current of the AC side rapidly, suppress the harmonics, and adjust power factor, but also the problems of neutral point potential fluctuation and power device loss should be considered. For above purposes, domestic and foreign scholars have conducted in-depth research on its control strategy, which mainly include voltage oriented control (VOC) and direct power control (DPC) [2]. However, due to the time-variability and nonlinearity, it is difficult to achieve the best control effect. In recent years, with the rapid development of digital processors, some complex and new control strategies, such as adaptive control, sliding mode control, fuzzy control, predictive control etc, are well implemented [7,8].For easy to understand, flexible control, good dynamic performance and strong robustness,finite control set model predictive control (FCS-MPC) has been widely used in power electronics and power transmission applications, and also it can be easily and effectively integrated into a variety of constraints which can achieve multi-objectives optimization control [3]. Different from the traditional linear control strategy, FCS-MPC algorithm is based on accurate mathematical model of object system to predict the future state. At the same time, with taking into multi-control objectives, the optimal switching state can be determined by the cost function for global rolling optimization. However, numerous switching vectors, time-cost computation and complex cost functions which limit the application of FCS-MPC. In [13] a simplified model predictive algorithm is presented which can effectively reduce the operation time and improve the efficiency. But part of the control performance is affected. In [9] a satisfactory predictive control strategy is used to realize the multiple target satisfaction control among the NPC three-evel rectifier, neutral point potential balance, current tracking and low switching frequency operation through fuzzy decision. In [12] multiple virtual voltage vectors are constructed that borrowed from discrete voltage space vector modulation (DSVM) idea. Although the effect of tracking control is improved obviously, but the number of MPC rolling optimization is increased, which has brought a very serious challenge to the actual digital system implementation [4][5][6].