Abstract: A high-power three-level PWM rectifier predictive control algorithm without weight coefficients is proposed for the problem of complicated design of the weight coefficients of the cost function in the traditional predictive control algorithm. The Pareto optimal solution set for multi-objective satisfactory optimal control of current command tracking and midpoint potential regulation is calculated based on the introduction of a tolerance interval for the target tracking error. When the Pareto optimal solution set is an empty set, the current command tracking based on the control deviation degree measurement function and the midpoint potential are used to adjust the target cost function so as to eliminate the weight coefficient of the cost function in the traditional predictive control. When the Pareto optimal solution set is not an empty set, a new switching loss cost function is designed to achieve low switching frequency control of the rectifier. The simulation results have verified the effectiveness and dynamic performance of the algorithm.