Due to the increasing use of power electronic converters in the grid, the grid requires higher quality of grid-connected currents from grid-connected inverters. The use of power filters on the grid side is the main method to improve power quality; however, this increases the complexity of the system architecture. In addition, increasing the switching frequency can also reduce the size of the filter, but it increases the losses of the system. Therefore, in this paper, in order to overcome these drawbacks, a new topology of grid-connected inverters and its control method are proposed using multiple frequencies operation. To explain the proposed approach and to demonstrate its effectiveness, theoretical analysis, control strategy and simulation results are given in this paper. The results verify that the proposed topology and control can achieve ripple suppression of the inductor current, resulting in high quality grid-connected output and increased power density.