Systems and methods for operating PFC circuits in discontinuous/critical conduction modes
A method of operating a PFC circuit. The method includes receiving an input voltage at an input terminal, controlling a current in an inductor via a first switch having a drain terminal, a source terminal and a gate terminal, where the inductor is coupled between the input terminal and the drain terminal and where during an on-time of the first switch the current in the inductor increases from substantially zero to a peak, during a first off-time of the first switch the current in the inductor decreases from the peak to substantially zero, and during a second off-time of the first switch the current in the inductor is substantially zero, generating a first reference voltage that is inversely proportional to a sum of the on-time and the first off-time of the first switch, and controlling the on-time of the first switch in response to the first reference voltage.
1 . A method of operating a power factor correction (PFC) circuit, the method comprising:
receiving an input voltage at an input terminal;
controlling a current in an inductor via a first switch having a drain terminal, a source terminal and a gate terminal, wherein the inductor is coupled between the input terminal and the drain terminal and wherein:
during an on-time of the first switch the current in the inductor increases from substantially zero to a peak;
during a first off-time of the first switch the current in the inductor decreases from the peak to substantially zero; and
during a second off-time of the first switch the current in the inductor is substantially zero;
generating a first reference voltage that is inversely proportional to a sum of the on-time and the first off-time of the first switch; and
controlling the on-time of the first switch in response to the first reference voltage such that the on-time is proportional to a ratio of a sum of the on-time and the first and second off-times to the sum of the on-time and the first off-time.
2 . The method of claim 1 , wherein generating the first reference voltage comprises:
generating a first voltage that is proportional to the sum of the on-time and the first off-time of the first switch;
generating a second voltage by comparing the input voltage to a second reference voltage; and
generating the first reference voltage by setting equal the first voltage to the second voltage.
3 . The method of claim 2 , wherein generating the first voltage comprises:
generating a current signal corresponding to the first reference voltage; and
transmitting the current signal to a second switch that is arranged to switch at a switching cycle that is proportional to sum of the on-time and the first off-time of the first switch.
4 . The method of claim 3 , wherein generating the first voltage further comprises:
generating a voltage signal corresponding to the first reference voltage; and
transmitting the voltage signal to a first capacitor coupled to the second switch.
5 . The method of claim 2 , wherein generating the second voltage comprises:
generating an inverse ratio of a square of the input voltage; and
multiplying the inverse ratio of the square of the input voltage to a third voltage that corresponds to the input voltage.
6 . The method of claim 1 , wherein controlling the on-time of the first switch comprises:
generating a sawtooth signal; and
comparing the sawtooth signal to the first reference voltage to generate a control signal for the first switch.
7 . A method of operating a power factor correction (PFC) circuit, the method comprising:
receiving an input voltage at an input terminal;
controlling a current in an inductor via a first switch having a drain terminal, a source terminal and a gate terminal, wherein the inductor is coupled between the input terminal and the drain terminal and wherein:
during an on-time of the first switch the inductor is charged with a quantity of energy;
during a first off-time of the first switch the quantity of energy is discharged from the inductor; and
during a second off-time of the first switch the inductor remains discharged;
generating a first reference voltage that is inversely proportional to a sum of the on-time and the first off-time of the first switch; and
controlling the on-time of the first switch in response to the first reference voltage such that the on-time is proportional to a ratio of a sum of the on-time and the first and second off-times to the sum of the on-time and the first off-time.
8 . The method of claim 7 , wherein generating the first reference voltage comprises:
generating a first voltage that is proportional to the sum of the on-time and the first off-time of the first switch;
generating a second voltage by comparing the input voltage to a second reference voltage; and
generating the first reference voltage by setting equal the first voltage to the second voltage.
9 . The method of claim 8 , wherein generating the first voltage comprises:
generating a current signal corresponding to the first reference voltage; and
transmitting the current signal to a second switch that is arranged to switch at a switching cycle that is proportional to sum of the on-time and the first off-time of the first switch.
10 . The method of claim 9 , wherein generating the first voltage further comprises:
generating a voltage signal corresponding to the first reference voltage; and
transmitting the voltage signal to a first capacitor coupled to the second switch.
11 . The method of claim 9 , wherein the current signal is a first current signal and wherein generating the first current signal comprises:
generating a second current signal, by a transconductance amplifier, corresponding to the first reference voltage; and
generating the first current signal, by a current mirror, corresponding to the second current signal.
12 . The method of claim 8 , wherein generating the second voltage comprises:
generating an inverse ratio of a square of the input voltage; and
multiplying the inverse ratio of the square of the input voltage to a third voltage that corresponds to the input voltage.
13 . The method of claim 7 , wherein controlling the on-time of the first switch comprises:
generating a sawtooth signal; and
comparing the sawtooth signal to the first reference voltage to generate a control signal for the first switch.
14 . A method of operating a power factor correction (PFC) circuit, the method comprising:
receiving an input voltage at an input terminal;
controlling a current in an inductor via a first switch having a drain terminal, a source terminal and a gate terminal, wherein the inductor is coupled between the input terminal and the drain terminal and wherein:
during an on-time of the first switch the inductor is charged to a first energy state;
during a first off-time of the first switch the inductor is discharged to a second energy state; and
during a second off-time of the first switch the inductor remains at the second energy state;
generating a first reference voltage that is inversely proportional to a sum of the on-time and the first off-time of the first switch; and
controlling the on-time of the first switch in response to the first reference voltage such that the on-time is proportional to a ratio of a sum of the on-time and the first and second off-times to the sum of the on-time and the first off-time.
15 . The method of claim 14 , wherein generating the first reference voltage comprises:
generating a first voltage that is proportional to the sum of the on-time and the first off-time of the first switch;
generating a second voltage by comparing the input voltage to a second reference voltage; and
generating the first reference voltage by setting equal the first voltage to the second voltage.
16 . The method of claim 15 , wherein generating the first voltage comprises:
generating a current signal corresponding to the first reference voltage; and
transmitting the current signal to a second switch that is arranged to switch at a switching cycle that is proportional to sum of the on-time and the first off-time of the first switch.
17 . The method of claim 16 , wherein generating the first voltage further comprises:
generating a voltage signal corresponding to the first reference voltage; and
transmitting the voltage signal to a first capacitor coupled to the second switch.
18 . The method of claim 16 , wherein the current signal is a first current signal and wherein generating the first current signal comprises:
generating a second current signal, by a transconductance amplifier, corresponding to the first reference voltage; and
generating the first current signal, by a current mirror, corresponding to the second current signal.
19 . The method of claim 15 , wherein generating the second voltage comprises:
generating an inverse ratio of a square of the input voltage; and
multiplying the inverse ratio of the square of the input voltage to a third voltage that corresponds to the input voltage.
20 . The method of claim 14 , wherein controlling the on-time of the first switch comprises:
generating a sawtooth signal; and
comparing the sawtooth signal to the first reference voltage to generate a control signal for the first switch.