PWM calculation after light load to high load transition

1. 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.

2. The switchable power converter according to claim 1 , wherein the digital control path comprises an error amplifier to amplify a difference between the output voltage and a reference voltage for generating an error signal; an analog to digital converter to convert the error signal to a digitized error signal; a PID compensator to process the digitized error signal for calculating a pulse width modulation duty cycle provided to a digital pulse width modulator to generate a digital pulse width modulation switching signal.

3. The switchable power converter according to claim 2 , wherein the constant-on-time control path comprises a comparator configured to compare the output voltage generated in the switchable power stage and the reference voltage; a constant-on-time circuit connected to the comparator and a minimum-off-time circuit connected between a constant-on-time circuit and the multimode controller to guarantee that a sum of the constant on-time and a minimum off-time is greater than a normal period of the digital pulse width modulation signal.

4. The switchable power converter according to claim 3 , wherein the multimode controller is configured to activate the digital control path when the sum of the constant on-time and the minimum off-time is not greater than the normal period of the digital pulse width modulation signal.

5. The switchable power converter according to claim 1 , further comprising a driver with zero current detection to drive the dual switching element according to the switching signal; and a multiplexer controlled by the multimode controller to forward the control signal either generated in the constant on-time control path or the digital control path to the driver.

6. The switchable power converter according to claim 1 , wherein the switchable power stage further comprises a third switching element to short-circuit the inductor for draining an excessive inductor current.

7. A method for controlling a multi-mode switchable power converter comprising a switchable power stage with a dual switching element comprising a high-side switch and a low-side switch, an inductor and a capacitor, the method comprising:

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