This invention relates in general to voltage regulators, and, more particularly a feed-forward control method of a switching voltage regulator and an architecture of a voltage regulator that implements it.
In pulse width modulation (PWM) regulators, the control circuit switches a power stage to keep an electrical variable (typically the output voltage) equal to a reference value Vref independently from the current that the regulator delivers to a load connected thereto. Synchronizing switching cycles of two or more PWM regulators with a reference clock is particularly useful because it may allow the regulators to be connected together to share the input filter capacitor, as shown, for example, in
In general, in a voltage regulator including of a plurality of switching converters, synchronizing, in frequency, two or more voltage regulators prevents beat phenomena, and generated switching noise in a component regulator from disturbing the other component regulators simply by properly outphasing them.
A traditionally used technique for synchronizing a regulator includes a reference clock for the turning on the high side switch HS in starting a charge phase. The turn off instant of the HS switch, that starts the discharge phase, is determined by the occurrence of a certain condition on the state variable of the regulator. This topology is indicated in literature as synchronous “clocked Ton” control. The clocked Ton control mode is sensitive to switching noise in case of a relatively short charge time Ton, because the comparator that determines the turn off of the HS switch is influenced by noise generated by the precedent turn on of the HS switch, typically including a sinusoidal disturbance that is dampened by parasitic inductances of the regulator.
By contrast, the technique based on turning off the HS switch synchronously with clock pulses and on turning it on when the output voltage attains a reference value is more robust, even when the charge time Ton is relatively short. It is generally a normal practice to add a compensation ramp to the output voltage signal that is sent to the comparator for ensuring stability (with duty-cycle smaller than 0.5). Unfortunately, the slope of this compensation ramp may be determined taking in consideration the slope of the ripple on the output voltage due to the parasitic resistance ESR of the output capacitor that may be one among a relatively large spread of values.
Other topologies are known in literature. For example, the regulator may comprise a comparator for starting a charge interval (HS on) when the output voltage attains a reference value. This mode of control, commonly referred to as “constant Ton control,” may be implemented, for example, with a regulator as the one shown in
Typically, a minimum duration Toff_min of the discharge phase is set to prevent the regulator from oscillating too fast in transient conditions. With this type of control, the converter is self-oscillating because the working frequency is not tied to a clock, but depends on parameters of the system and on whether it is in steady state or transient condition. The switching PW cycles could hardly be synchronous with an external clock.
The constant Ton control mode is adapted to work with small Ton values because between each turn on (determined by the comparator) of the HS switch and the precedent turn off, there is an interval that is surely longer than (or at most equal to) Toff_min, during which the noise generated at turn off vanishes. The stability of this control is relatively robust to the spread of the equivalent series resistance (ESR) value of the output filter capacitance.
In the same manner, it may be possible to force the turning off of the high side HS switch (starting a discharge phase) when pulses of the clock signal are received and compare the output voltage with the reference for determining the turn on instant of the charge phase (turning on of the high side HS switch). This topology is indicated in literature as “clocked Toff” synchronous control mode.
The output voltage comparator may be used for determining the starting instant of a discharge phase, that again may have a pre-established duration. In this case, this control is referred to as “constant Toff” control mode. The ensuing discussion of inherent shortcomings and problems will refer to the constant “Ton control,” though the same observations hold, for the alternative case, in which the comparator of the output voltage determines the beginning of a discharge phase.
The limits and drawbacks of this technique may be known in that the functioning is negatively influenced by nonlinearities. In particular, delays of the comparator and of the driver may cause important errors for relatively small values of the charge time Ton. Additionally, for the same charge time Ton, the switching frequency may depend on the load current, because of the resistive drops in the power switches and in the inductor of the regulator.
With τ being the comparator delay between the voltage VC and the reference Vref, D the duty cycle Vout/Vin, Rs the combined series resistance of the power MOS and of the inductor of the regulator, and considering Vref=Vout, the PWM switching period Tsw will be substantially:
The switching frequency may be affected by a non-negligible spread depending both on internal parameters (τ), as well as external parameters (Rs, Iload, D), thus the circuit of
Investigations carried out by the applicant showed that several of the above-mentioned problems may be addressed by nullifying the outphasing or the difference between the frequency of PWM switching cycles and the frequency of a reference clock. Novel buck voltage regulators and related control methods have been devised that allow adjustment of the duration of charge phases such to nullify/compensate the phase or frequency difference between the PWM cycle and a reference clock cycle.
According to an embodiment, the end instant of a charge phase and start a discharge phase may be determined by the assertion of a logic command OUT, resulting by comparing a voltage ramp with a voltage V2, the value of which may be adjusted at each cycle as a function of the phase or frequency difference between a reference clock and active edges of a charge phase control signal. The voltage ramp may have a constant slope or a variable slope as a function of the input voltage of the regulator.
A regulation system including of a plurality of the novel regulators for supply in parallel a load is also disclosed. According to an exemplary embodiment, the regulation system may include two regulators, wherein one regulator adjusts the duration of charge phases to nullify/compensate the phase difference, and the other regulator may adjust the duration of charge phases to nullify/compensate the frequency difference between PWM cycles and a clock reference signal.
a shows exemplary time graphs of the functioning of the circuits of
b shows exemplary time graphs of the functioning of circuits of
The feed-forward control method of a voltage regulator may be implemented using an analog circuit or a digital circuit. For the prior art regulator of
Differently from the known analog control circuit of
In the illustrated embodiment, this capacitance includes capacitors C1 and C2 connected in series. This choice is based upon having the possibility of discharging the capacitor C2 through the switch SW2 once per period (for example, for an interval Toff_min lasting sufficiently long for discharging the capacitor C2), such to have in the transfer function of the loop gain a “zero” (for ensuring the stability) and a “pole” determined by the capacitor C2 (for having a null phase error in steady state conditions). If other means or components useful for ensuring the stability of the loop were present, a single capacitor may be used instead of the two capacitors C1 and C2 connected in series.
Substantially, the analog circuit of
Exemplary time graphs of the functioning of the circuit of
If the converter oscillates faster than the clock, then the signal START anticipates the clock and the two capacitors C1 and C2 are charged. The charge interval Ton increases, thus reducing the frequency error, until the loop reaches the equilibrium.
In the embodiment of
Optionally, a voltage clamp CLAMP, that in the exemplary embodiment of
For the embodiment of
wherein Tr is the switching period of the reference clock.
In the embodiment of
In quasi-stationary conditions, the output voltage Vout is practically equal to the voltage Vref, thus the free-running frequency fF is:
If no reference clock is provided, the capacitors C1 and C2 are charged until the voltage V2 reaches the voltage Vref and the switching frequency is the free-running frequency fF. In the constant Ton regulation technique, the current limitation is classically formed using a comparator that monitors the current through the inductance of the regulator during a discharge time Toff.
The control logic inhibits the beginning of the charge interval (turning on of the high side HS switch) if the current through the inductance is larger than a pre-established threshold Ilim, even if the comparator of the output voltage indicates that the voltage Vout is smaller than the reference Vref. In case of functioning in a current limitation mode, the current will oscillate between the threshold Ilim and
If the Ton interval is determined by the circuit of
The threshold Ilim may be sufficiently small to ensure the above quantity (that represents the maximum current value that may be accepted on the secondary of the regulator) does not exceed a certain value. For example, this value may be the saturation current of the winding.
If the proposed control is implemented, this type of limitation may still be used. In stationary conditions, the time Ton is smaller than Ton_f thus the previous equation represents the worst case. Nevertheless, in transient conditions, it may happen that Ton=Ton_f, thus it may be desirable to choose the threshold Ilim in a design phase as stated above.
The transfer function of the loop gain Gloop is:
wherein Tr is the switching period of the reference clock and R1 is the proportionality constant between the current I of the phase comparator PFD and Vref1.
The loop gain presents two poles in the origin and a zero:
To ensure the stability of the feedback it may be necessary to position the zero before the unitary cut-off frequency fBW of the loop. The loop gain, at frequencies much greater than that of the zero, may be approximated as follows:
thus the unitary cut-off frequency fBW is:
By making the frequency fZ of the zero is much smaller than the cut-off frequency fBW,
The unitary gain frequency should be smaller than the switching frequency of the controller, which is equal to the frequency of the reference clock,
from which,
To make inequalities (1) and (2) verified, it may be necessary to impose the condition C1>>C2, that may be easily imposed. It is worth noticing that, when this condition is satisfied, inequalities (1) and (2) may be easily verified independently from external parameters Vin and Vout, provided that Vref1 is proportional to Vout.
The novel control method is capable of restoring synchronization between the switchings of the regulator and the clock signal, also in case of load transients of the converter. For example, if an abrupt increase of the load current, that causes the output voltage Vout to decrease below the reference Vref, is verified, the duration of the discharge phase is reduced to the minimum Toff_min. The switching frequency of the regulator tends to be greater than that of the reference clock, thus a delay takes place (
The correction block depicted in
According to an exemplary digital embodiment, the correction block stores, for example, a counter or register, that stores a value that is incremented or decremented corresponding to the anticipation or delay between the reference clock and the charge signal START. As a function of the stored value, the comparison voltage V2 is generated, for example, through an analog-to-digital converter.
The circuits of
A monostable circuit generates a logic pulse of a duration equal to Tref/k corresponding to the leading edge of the turn on signal of the HS switch that identifies the beginning of a charge phase. For the whole duration of this pulse, the capacitance C2 is charged with a current equal to (k−1)*Vref1/R1. This capacitance is discharged by a current Vref1/R1 for the time interval lasting from the end of the pulse and the successive leading edge of the turn on command of the HS switch.
To make the system reach a stationary condition, the overall charge transferred to the capacitance C1 between two switching Son should be null. This may be possible only if, being Tsw the repetition period of the cycles,
Tsw=Tref
The repetition period is k times the duration of the pulse of the monostable, independently from any other cause of error or of nonlinearity.
Hereinafter, the calculation of the loop gain Gloop is carried out for the embodiment of
For the circuit of
An advantage of the circuit of
fBW<<1/Tref
According to an embodiment, the voltage Vref1 is a scaled replica of the output voltage Vout. The described frequency control is substantially different from the phase control. During load transients, a constant Ton time controller abruptly increases the switching frequency that returns to the steady state value as soon as the current becomes stable, without any abrupt correction of the Ton time.
This implies that the loop gain may be limited. Therefore it may not be necessary to feed-forward control the input voltage Vin or make the voltage Vref1 dependent on the output voltage Vout, for making the bandwidth independent from external parameters. For this reason, this control may be easily implemented with a digital circuit. Digital embodiments similar to those of
According to an exemplary digital embodiment, the regulator comprises a counter synchronized with a high frequency clock. At each clock pulse, this counter increases or decreases its value by a pre-established step when the output of the pulse of the monostable is equal to a logic zero or a logic 1. The counting value is then sent to a digital timing circuit that generates a pulse having a duration proportional to the counting value. The novel regulators may be connected in parallel to supply a load for forming a more complex regulation system.
According to an exemplary embodiment, two regulators of the type shown in
The respective circuits ON TIME DELAY of the two regulators are as illustrated in
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