“…In this type of method, the duty cycle of each voltage vector is deduced by assuming that it is inversely proportional to its cost function value. As it is simple but effective, many researchers have studied modulated MPC to control the cascaded H-bridge converter [22], the multilevel solid-state transformer [23], the direct and indirect matrix converter [24,25], the shunt active filter [26], the brushless doubly fed induction machine [27], the two-level three-phase inverter [28,29], and so on. However, although it is shown in [22][23][24][25][26][27][28][29] that the modulated MPC method can achieve current control, up to now, there still lacks a solid theoretical support for this kind of method, which hinders its popularization and application.…”