This application claims priority based on 35 USC 119 from prior Japanese Patent Application No. 2021-039776 filed on Mar. 12, 2021, entitled “INTEGRATED CIRCUIT AND METHOD FOR DIGITALLY CONTROLING CRITICAL MODE POWER FACTOR CORRECTION CIRCUIT”, the entire contents of which are incorporated herein by reference.
The disclosure may relate to an integrated circuit digitally controlling a critical mode power factor correction circuit that converts an AC input voltage into a DC output voltage and including an analog-to-digital (A/D) converter that performs analog-to-digital conversion of detection signals.
A home appliance such as an LCD TV and an OLED TV uses a power factor correction (PFC) circuit and a DC/DC converter to generate a stable output voltage from an AC power supply. In particular, the power factor correction circuit performs digital control for the purpose of stabilizing quality, lowering cost, and reducing size. For this reason, an analog-to-digital converter (hereinafter may be referred to as an A/D converter) is employed to convert analog signals, such as an output voltage and a switching current of the power factor correction circuit, into digital signals. A sampling frequency of the A/D converter is generally fixed. To the contrary, in a power factor correction circuit of a critical mode method such as being illustrated in
According to the system disclosed in U.S. Pat. No. 9,935,645, nonlinearity in the output of the A/D converter is corrected at the two different sampling rates. However, this requires a control circuit that is configured to calculate at the two sampling rates per one switching, for example, a CPU having high processing performance and high processing speed, which is expensive. Especially, in a case where the A/D converter and the control circuit described above become expensive when being employed in a power factor correction circuit in a large TV such an LCD TV, an OLED, and the like. An object of one or more embodiments of the disclosure may be to provide digital control of a critical mode power factor correction circuit capable of calculating a correction value to perform simple linear correction of an output of an analog-to-digital converter.
An aspect of one or more embodiments of the disclosure may be an integrated circuit for digitally controlling a critical mode power factor correction circuit. The integrated circuit may include: an output voltage detector and a switching current detector of the critical mode power factor correction circuit; an A/D converter and a sample and hold circuit that perform analog-to-digital conversion of an output signal of the output voltage detector and the switching current detector, wherein a sampling frequency of the A/D converter and the sample and hold circuit is synchronized with a variable switching frequency of the critical mode power factor correction circuit; an arithmetic unit that performs calculation based on the output signal of the A/D converter and generates pulse signal to turn on and off a switching device of the critical mode power factor correction circuit; a correction value calculator that calculates, based on the sampling frequency, a correction value for linearly correcting the output signal of the A/D converter; and an adder that adds the correction value calculated by the correction value calculator to the output signal of the A/D converter to correct the output signal of the A/D converter and inputs the corrected output signal to the arithmetic unit.
According to the aspect, a size of a circuit around the A/D converter in the integrated circuit that performs digital control of the critical mode power factor correction circuit can be reduced. Furthermore, by calculating the correction value using the linear correction formula, a general-purpose arithmetic unit (CPU) can be used instead of a high-speed and expensive arithmetic unit (CPU).
Descriptions are provided hereinbelow for one or more embodiments based on the drawings. In the respective drawings referenced herein, the same constituents are designated by the same reference numerals and duplicate explanation concerning the same constituents is omitted. All of the drawings are provided to illustrate the respective examples only.
What is different from a power factor correction circuit 10 of a comparative example illustrated in
Note that
Next, the sampling frequency and the voltage values V1, V2, V3, V4 between both ends of the capacitor C3 are considered. First, the relationship between the voltage values V1 and V2 and the voltage values V3 and V4 is expressed by the following equation.
V1:V2=V3:V4=1/(C3+C4):1/C3
Note that C3 and C4 in the above equation indicate the capacitance values of the capacitors C3 and C4, respectively. Next, an equivalent circuit of the output voltage detection circuit illustrated in
I=(V−Vc)/R=V/R−Vc/R (1)
Next, the detection circuit illustrated in
I=(Vout−Vc)/R1−Vc/R2
I=Vout/R1−Vc/R1−Vc/R2
I=Vout/R1−(Vc/R1+Vc/R2)
I=Vout/R1−Vc*(1/R1+1/R2)
I=Vout/R1−Vc*((R1+R2)/(R1*R2))
I=(Vout*R2)/(R1*R2)−Vc*((R1+R2)/(R1*R2))
I=(((Vout*R2)/(R1+R2))*(R1+R2))/(R1*R2)−Vc*(R1+R2)/(R1*R2)) (2)
Here, if the condition is above Equation (3), Equation (2) can be expressed by I=V/R−Vc/R, which is the same as Equation (1). Note that R1, R2, and Vout in Equation (3) are all constants which do not change, and thus can be replaced. Therefore, the detection circuit of
Next, transient characteristics of the circuit 1 is considered. Since Vc in Equation (1) changes with time and thus is expressed as Vc(t), Equation (1) can be expressed by the following Equation (4).
I=V/R−Vc(t)/R (4)
Also, since a relationship Vc=t*I/C is satisfied, the following Equation (5) is obtained.
I=C*Vc/t (5)
Here, Vc in Equation (5) varies with time and thus is expressed as Vc(t), so the following equation (6) is obtained.
I=C*dVc(t)/dt (6)
By applying Equation (6) to Equation (4), the following equation (7) is obtained.
C*dVc(t)/dt=V/R−Vc(t)/R
C*dVc(t)/dt=(V−Vc(t))/R
C*dVc(t)/(V−Vc(t))=dt/R
dVc(t)/((V−Vc(t))/C)=(1/R)dt
dVc(t)/(V/C−Vc(t)/C)=(1/R)dt
dVc(t)*(V/C−Vc(t)/C){circumflex over ( )}−1=(1/R)dt (7)
By integrating Equation (7), the following Equation (8) is obtained.
In(V/C−Vc(t)/C)=−Y(R*C)+InK (8)
InK is an integration constant.
By solving for Vc(t), the following equation (9) is obtained.
V/C−Vc(t)/C=Ke{circumflex over ( )}(−t/(R*C))
V−Vc(t)=KCe{circumflex over ( )}(−t/(R*C))
Vc(t)−V=−KCe{circumflex over ( )}(−t/(R*C))
Vc(t)=V−KCe{circumflex over ( )}(−t/(R*C)) (9)
Since Vc(t)=0 when t=0, the following equation (10) is obtained.
0=V−KCK=V/C (10)
Accordingly, Equation (9) can be expressed as the following Equation (11).
Vc(t)=V−Ve{circumflex over ( )}(−t/(R*C))
Vc(t)=V(1−e{circumflex over ( )}(−t/(R*C))) (11)
By applying the condition of Equation (3) to Equation (11), the following Equation (12) is obtained.
Vc(t)=(Vout*R2/(R1+R2))*(1−e{circumflex over ( )}(−t/((R1*R2)/(R1+R2))*C))) (12)
When Equation (12) is graphed, a characteristic diagram of the capacitor voltage Vc and the sampling cycle (i.e., 1/the sampling frequency) illustrated in
Under high load, it may be necessary to satisfy the following Equation (14).
Therefore, it finally stabilizes at a point where these conditions are satisfied. Also, referring to the graph of
Vc(t)=V(1−e{circumflex over ( )}(−t/(R*C))) (15)
Vc(t)=V−Ve{circumflex over ( )}(−t/(R*C))
V−Vc(t)=Ve{circumflex over ( )}(−t/(R*C))
1−Vc(t)/V=e{circumflex over ( )}(−t/(R*C))
ln(1−Vc(t)/V)=−t/(R*C)
ln((V−Vc(t))/V)=−t/(R*C)
ln(V/(V−Vc(t)))=t/(R*C)
R*C*ln(V/(V−Vc(t)))=t
t=R*C*ln(V/(V−Vc(t))) (16)
Here, 1/f is expressed as Δt. (1/f=Δt)
Next, Va, a value of which becomes A times when t changes by Δt, will be found. From Equation (16), the following Equation (17) is obtained.
Δt=R*C*ln(V/(V−Va))−R*C*ln(V/(V−AVa))
Δt=R*C*(ln(V/(V−Va))−ln(V/(V−AVa)))
Δt/R/C=ln(V/(V−Va))−ln(V/(V−AVa)))
Δt/R/C=ln(V/(V−Va)/(V/(V−AVa)))
Δt/R/C=ln((V−AVa)/(V−Va)) (17)
By solving Equation (17) for Va, the following Equation (18) is obtained.
Δt/R/C=ln((V−AVa)/(V−Va))
e{circumflex over ( )}(Δt/R/C)=(V−AVa)/(V−Va)
(V−Va)*e{circumflex over ( )}(Δt/R/C)=V−AVa
V*e{circumflex over ( )}(Δt/R/C)−Va*e{circumflex over ( )}(Δt/R/C)=V−AVa
AVa−Va*e{circumflex over ( )}(Δt/R/C)=V−V*e{circumflex over ( )}(Δt/R/C)
Va*(A−e{circumflex over ( )}(Δt/R/C))=V−V*e{circumflex over ( )}(Δt/R/C)
Va=(V−V*e{circumflex over ( )}(Δt/R/C))/(A−e{circumflex over ( )}((Δt/R/C)) (18)
As a result, the initial value Va of the point where the value of the voltage of the capacitor C3 becomes A times higher when t changes by Δt can be obtained. By substituting Equation (18) into Equation (16) to find the initial value ta in time of the point, the following Equation (19) is obtained.
ta=R*C*ln(V/(V−(V−V*e{circumflex over ( )}(Δt/R/C))/(A−e{circumflex over ( )}(Δt/R/C)))) (19)
Next, a linear correction method according to an embodiment or embodiments is considered. In an embodiment or embodiments, in order to reduce the burden on the arithmetic unit CA, the theoretical value of the terminal voltage of the capacitor C3 illustrated in
b=(V3−V1)/(Δt3−Δt1) (20)
c=V3−b*Δt3 (21)
By applying Equation (18), which is Va=(V−V*e{circumflex over ( )}(Δt/R/C))/(A−e{circumflex over ( )}(Δt/R/C)), to Equations (20) and (21), the following Equations (22) and (23) can be obtained.
b=(V3−V1)/(Δt3−Δt1)=((V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))−(V−V*e{circumflex over ( )}(Δt1/R/C))/(A−e{circumflex over ( )}(Δt1/R/C)))/(Δt3−Δt1) (22)
c=V3−b*Δt3=(V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))−b*Δt3 (23)
Here, the condition, which is Equation (3), is R=R1*R2/(R1+R2)V=Vout*R2/(R1+R2). In addition, “a” in the correction value a-b/f satisfies the following Equation (24).
a=V−c (24)
Thus, “a” can be calculated by the following Equation (25).
a=V−c
=V−((V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))−b*Δt1)
=(V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))+b*Δt3
=−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))+(((V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))−(V−V*e{circumflex over ( )}(Δt1/R/C))/(A−e{circumflex over ( )}(Δt1/R/C)))/(Δt3−Δt1))*Δt3
=−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C))+(((V−V*e{circumflex over ( )}(Δt3/R/C))/(A−e{circumflex over ( )}(Δt3/R/C)))−(V−V*e{circumflex over ( )}(Δt1/R/C))/(A−e{circumflex over ( )}(Δt1/R/C)))/Δt1 (25)
Based on Equation (25) and Equation (22), the correction value calculator calculates the linear correction value a-b/f with respect to each sampling frequency. Accordingly, by adding the correction value calculated by the correction value calculator to the signal output from the A/D converter by the adder SUM, an accurate value can be obtained. Note that the constants in the equation a-b/f may be obtained based on actual measurement results from experiments, or V1 and V3 may be derived by simulation and applied to the constants in the correction value calculator.
Note that referring to
According to one or more embodiments described above, a size of a circuit around the A/D converter in the integrated circuit that performs digital control of the critical mode power factor correction circuit can be reduced. Further, an accuracy of the output signal of the A/D converter may be improved with simple calculation by dividing the sampling frequency into plural sampling frequency bands and calculating the correction value in each of the plural sampling bands with a linear correction formula. Furthermore, by calculating the correction value using the linear correction formula, a general-purpose arithmetic unit (CPU) can be used instead of a high-speed and expensive arithmetic unit (CPU).
One or more embodiments described above are only examples for embodying the technical concept of the invention, and do not limit configurations, combinations, and etc. One or more embodiments described above may be changed as appropriate within the scope of the technical concept of the invention. For example, it is possible to reduce the number of steps in the calculation by the arithmetic unit, by using a formula Vc=a−b×T for linear correction, which is obtained by replacing the sampling frequency f in the formula Vc=a−b/f for linear correction with the cycle T, to replace the division performed by the arithmetic unit with multiplication performed by the arithmetic unit.
As described above, the integrated circuit according to one or more embodiments described above is suitable for use in digital control of a critical mode power factor correction circuit. Therefore, it can be used for a power supply for TV equipment such as an LCD TV and an OLED TV.
The invention includes other embodiments and modifications in addition to one or more embodiments described above without departing from the spirit of the invention. One or more embodiments described above are to be considered in all respects as illustrative, and not restrictive. The scope of the invention is indicated by the appended claims rather than by the foregoing description. Hence, all configurations including the meaning and range within equivalent arrangements of the claims are intended to be embraced in the invention.
Number | Date | Country | Kind |
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2021-039776 | Mar 2021 | JP | national |