A control circuit for a switching power converter includes a current compensator. The current compensator is configured to receive a first current reference signal, a second current reference signal and a signal representing an input current of the switching power converter, generate a first current error signal based on the signal representing the input current and the first current reference signal for controlling at least one power switch of the power converter, generate a second current error signal based on the signal representing the input current and the second current reference signal, and adjust the first current error signal based on the second current error signal to limit the amount of current flowing through the switching power converter. Other example control circuits, switching power converters including control circuits and methods for limiting current in switching power converters are also disclosed.