An interleaved power converter includes a control circuit and multiple phase-shifted subconverters each having at least one power switch. The control circuit is coupled to the subconverters for controlling the power switches to balance currents in the subconverters over multiple periods. The control circuit includes a current compensator configured to determine a first duty cycle multiple times over the multiple periods, generate a PWM control signal having a present value of the first duty cycle for controlling the power switch of one of the subconverters during a period, determine a second duty cycle based on the present value of the first duty cycle and a previous value of the first duty cycle, and generate another PWM control signal having the second duty cycle for controlling the power switch of another one of the subconverters during the period. Other example power converters and control circuits are also disclosed.