Abstract: The switching frequency of a high voltage PWM rectifier should be limited to reduce the power loss of converters. However, low switching frequency operation will incur deteriorated grid-side current performance and reduce power quality, especially under unbalanced grid-side voltage conditions. To mitigate aforementioned issues, this paper proposes a sequential model predictive control based low switching frequency method. The proposed solution takes instantaneous power compensation algorithm into consideration, calculates the power reference value by analyzing the power of the rectifier under unbalanced conditions. Besides, the sequential model predictive control is embedded into the proposed design, the dual cost functions are designed to reduce the distortion of grid-side currents and active power ripples while remaining low switching frequency. The proposed design, which is realized in the stationary frame, has the merits of simple control structure and reduced computational burden, and eliminates the weighting factors in the conventional control method. Finally, the comprehensive simulation results and experiment results are presented to confirm the theoretical study and the effectiveness of the proposed method.