PWM calculation after light load to high load transition

A switchable power converter, comprising:

• a switchable power stage comprising an inductor and a capacitor for generating an output voltage according to a switching signal and an input voltage by a dual switching element comprising a high-side switch and a low-side switch, wherein the switching signal is generated either in a digital control path or a constant on-time control path;
• a multi-mode controller configured to toggle between a light load mode in which the constant-on-time control path is activated and a high load mode in which the digital control path is activated,
• wherein the multi-mode controller is further configured to generate the switching signal for turning on the high-side switch for an additional time triggered by and added to an end of a transition interval from the light load mode to the high load mode, wherein the multi-mode controller is further configured to generate the switching signal for turning on the high-side switch by extending duration of an on-time of a control signal generated in the constant on-time control path, and wherein the multi-mode controller is configures to extend the duration of the on-time of the control signal generated in the constant on-time control path when an equality of a load current and an inductor current is determined, wherein the multi-mode controller is configured to extend the duration of the on-time of the control signal generated in the constant on-time control path by half of a normal on-time period of the control signal in high load mode, and wherein the multi-mode controller is configured to extend the duration of the on-time of the control signal generated in the constant on-time control path by the additional time Ton-additional=Vout/Vin*TPWM*0.5, wherein Vout is the output voltage of the switchable power stage, Vin is the input voltage, and TPWM is a duty cycle of a pulse width modulation signal controlling the dual switching element.