A method of controlling a multi-phase power converter having a plurality of power stage circuits coupled in parallel, can include: obtaining a load current of the multi-phase power converter; enabling corresponding power stage circuits to operate in accordance with the load current, such that a switching frequency is maintained within a predetermined range when the load current changes; and controlling the power stage circuits to operate under different modes in accordance with the load current, such that the switching frequency is maintained within the predetermined range when the load current changes.