An embodiment of the invention relates to an LLC power converter including a controller configured to regulate an output characteristic of the power converter by controlling a power converter switching frequency. In a first mode of operation, the controller turns off a secondary-side power switch earlier than a turn-off time of a primary-side power switch by a time difference that is controlled by a resistor coupled to an external circuit node. In a second mode of operation, the controller turns on a secondary-side power switch at substantially the same time as the primary-side power switch, and turns off the secondary-side power switch after a maximum on time that is a nonlinear function of a load current of the power converter. The nonlinear function is a substantially constant function of the load current for a value of the load current higher than a threshold value.