Switched mode power supplies
A switched mode power supply, SMPS. The SMPS comprises a switch, one or more inductors, an output smoothing capacitor, and a controller. The controller is configured to determine a first energy difference that is an instantaneous energy in the inductor(s) minus an energy in the inductor(s) at a load current, and determine a second energy difference that is an energy in the output smoothing capacitor at a reference voltage minus an instantaneous energy in the output smoothing capacitor. The controller is further configured to turn the switch on and off with a clock rate and a variable duty cycle such that the switch is on from the start of each period of the clock until the first energy difference is substantially equal to the second energy difference, and such that the switch is otherwise off.
1. A switched mode power supply, SMPS, comprising:
a switch;
one or more inductors;
an output smoothing capacitor; and
a controller comprising:
a first current measuring unit configured to measure a current through the or each inductor;
a second current measuring unit configured to measure a load current;
a voltage measuring unit configured to measure a voltage across the output smoothing capacitor;
first energy calculation circuitry configured to determine a first energy difference (EL) that is an instantaneous energy in the inductor(s) minus an energy in the inductor(s) at a load current, wherein the first energy difference is determined by summing, over each of the one or more inductors, an inductance (L) of the inductor multiplied by an instantaneous current (IL) through the inductor multiplied by a difference between the instantaneous current through the inductor and the load current (Iload) (EL∝Σ[LIL (IL+Iload)]),
second energy calculation circuitry configured to determine a second energy difference (Ec) that is an energy in the output smoothing capacitor at a reference voltage minus an instantaneous energy in the output smoothing capacitor, wherein the second energy difference is determined by multiplying the reference voltage (Vtarget) by a difference between the reference voltage and the instantaneous voltage (Vc) across the output smoothing capacitor (Ec∝Vtarget (Vtarget-Vc)), and
a comparator configured to turn the switch on and off with a clock rate and a variable duty cycle such that the switch is on from the start of each period of the clock until the first energy difference is equal to the second energy difference (EL=Ec), and such that the switch is otherwise off.
2. The SMPS according to claim 1 , wherein the reference voltage is equal to a required output voltage of the SMPS.
3. The SMPS according to claim 1 , wherein the reference voltage is dependent upon a required output voltage of the SMPS and an instantaneous output voltage of the SMPS.
4. The SMPS according to claim 1 , wherein the first and/or second energy calculation circuitry comprises at least one Gilbert cell configured to perform the respective multiplications.
5. The SMPS according to claim 1 , wherein the first and/or second energy calculation circuitry comprises at least one Gilbert cell configured to perform the respective multiplications.
6. A method of operating a switched mode power supply, SMPS, the SMPS comprising one or more inductors, and output smoothing capacitor, and a switch, the method comprising:
determining a first energy difference (EL), the first energy difference being an instantaneous energy in the inductor(s) minus an energy in the inductor(s) at a load current, wherein the first energy difference is determined by summing, over each of the one or more inductors, an inductance (L) of the inductor multiplied by an instantaneous current (IL) through the inductor multiplied by a difference between the instantaneous current through the inductor and the load current (Iload) (EL ∝Σ[LIL (IL+Iload)]);
determining a second energy difference (Ec), the second energy difference being an energy in the output smoothing capacitor at a reference voltage minus an instantaneous energy in the output smoothing capacitor, wherein the second energy difference is determined by multiplying the reference voltage (Vtarget) by a difference between the reference voltage and the instantaneous voltage (Vc) across the output smoothing capacitor (Ec∝Vtarget (Vtarget-Vc));
turning the switch on and off, using a comparator, with a clock rate and a variable duty cycle such that the switch is on from the start of each clock cycle until the first energy difference is equal to the second energy difference (EL=Ec), and such that the switch is otherwise off.
7. The method according to claim 6 , wherein the reference voltage is equal to a required output voltage of the SMPS.
8. The method according to claim 6 , wherein the reference voltage is dependent upon a required output voltage of the SMPS and an instantaneous output voltage of the SMPS.
9. The method according to claim 6 , wherein at least one of the multiplications is performed using a Gilbert cell.
10. The method according to claim 6 , wherein at least one of the multiplications is performed using a Gilbert cell.