This example operating process during time t6-t9 is a steady-state working process of the switching converter under heavy load. From time t10, the operating process during time t6-t9 can be repeated; that is, the switching converter starts to work stably in the heavy load mode. In particular embodiments, the switching converter can include a plurality of interleaved parallel branches. In addition, the conduction phases of the power switches in each interleaved parallel branch can be overlapped during the process when the load changes from the light load to the heavy load, in order to improve the dynamic response performance of the system.