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Boost PFC preregulator Design
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Reference DesignSLUA269 - July 2002
1
UCC3819 250-W Power Factor Corrected (PFC) BoostFollower Preregulator Design
Michael OLoughlin System Power
ABSTRACT
This paper reviews the benefits of a boost follower topology and the design of a 250-W PFCboost follower preregulator.
Contents
1 Introduction 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 Power Stage Design 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3 VAI Output Sensing Circuit with Clamp 9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4 Slower Voltage Loop Small Signal Transient Response at High Line 11. . . . . . . . . . . . . . . . . . . .
5 Reference Design Performance Curves 13. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6 References 15. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
1 Introduction
Conventionally PFC off-line power converters are designed with two power stages. The firststage is typically a boost converter. This is because the boost converter topology has continuous
input current that can be shaped through the use of a multiplier and average current modecontrol to achieve near-unity power factor (PF). However the boost converter requires a higheroutput voltage than the input and requires a second converter to step this voltage down to auseable level.
The boost converter is traditionally designed to have a fixed output voltage greater than themaximum peak line voltage. However, the boost voltage does not have to be well regulated orfixed because the step down converter can be designed to handle the variations in voltage. Aslong as the boost voltage is above the peak input voltage the converter will regulate properly.There are actually some benefits that can be gained by having the boost voltage vary withvariations in peak line voltage (i.e. boost follower preregulator). One is reduced inductor size andthe other is lower switch loss at low line operation. This paper reviews the benefits of a boost
follower topology and the design of a 250-W PFC boost follower preregulator.
NOTE: The reference design was generated using typical parameters rather than worst-casevalues. Please refer to the table in Figure 1 and Figure 2 for design specifications andcomponent placement. Refer to Table 1 for all variable definitions.
Trademarks are the property of their respective owners.
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2 UCC3819 250-W Power Factor Corrected (PFC) Boost Follower Preregulator Design
VOUTVLINE
85 VACTO
265 VAC
UDG02075
+
PFC
CONTROLLER
PWM
CONTROLLER
STAGE 1 STAGE 2
Figure 1. Functional Block Diagram
Table 1. Design Specifications
PARAMETER TEST CONDITIONS MIN TYP MAX UNITS
VIN Input offset voltage 85 265 VRMS
fIN Input frequency 60 Hz
VIN = 85 VRMS 195 205 215VOUT dc Output voltage VIN = 265 VRMS 370 390 410
V
POUT Output power 0 250 W
VRIPPLE Output voltage ripple VIN = 85 VRMS 3%
Efficiency POUT = 250 W 93%
VIN = 85 VRMS, POUT = 250 W 5%THD Total harmonic distortion
VIN = 265 VRMS, POUT = 250 W 7%
fOSC Operating frequency 100 kHz
tHOLDUP Hold-up time 16.7 ms
VOVP Overvoltage protection threshold voltage VOUT = 400 V 409 416 422 V
PLIM Power limit VIN = 85 VRMS 275 360 385 W
ILIM Peak current limit 5.335 5.500 5.665 A
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+
+
Figure 2. Reference Design Schematic
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Table 2. Variable Definitions
VARIABLE DEFINITIONS
CDIODE Boost diode capacitance
COSS FET Drain to source capacitance
GVEA
Gain of the voltage amplifier
D Duty cycle
fS PWM switching frequency
GPID Control to output gain of the current loop at the desired crossover frequency
GPID (f) Control to output gain of the current loop
GPS(f) Voltage loop control to output gain
IMO_MAX(high_line) Peak IMO current at high-line input
IRMS_DIODE Boost diode current
IRMS_FET RMS current in the FET
IRMS_L RMS inductor current
Osc_Amplitude Typical oscillator ramp amplitude
PSEMI Power dissipated by a semiconductor device
PCON_FET Conduction losses in the FET
PCOND_DIODE Diode conduction losses
PCOSS Power dissipated by the FETs drain to source capacitance
PDIODE Total loss in the boost diode
PDIODE_CAP Loss due to boost diode capacitance
PDIODE_TR Boost diode transition loss
PFET_TR FET transition losses
PGATE Power dissipated by the FET gate
POUT Maximum output power
PQ1 Total FET losses
QGATE FET gate charge
RDS(on) On resistance of the FET
RCS Thermal impedance case to sink
RJC Thermal impedance junction to case
RSA Thermal impedance sink to air
TA Ambient temperature
tHOLDUP Boost capacitor holdup time
TJ(max) Maximum semiconductor temperature
tF FET fall time
tR FET rise time
tRR Reverse recover time for a boost diode
TS(f) Voltage loop frequency response
VAI(max) Maximum voltage amplifier referenceVAI(min) Minimum voltage amplifier reference voltage
VCLAMP Voltage reference clamp to ensure the boost voltage is not exceeded
VEA(max) Maximum voltage amplifier output.
VEA(min) Minimum voltage amplifier output
VGATE Gate drive voltage
VDROP Amount of voltage the boost capacitor is allowed to drop during holdup.
VIN(max) Maximum RMS input voltage
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VARIABLE DEFINITIONS
VIN(min) Minimum RMS input voltage
VOUT(max) Maximum dc output voltage
VOUT(min) Minimum dc output voltage
VPP Output peak-to-peak ripple voltage
VREF_TL431 Reference voltage of the TL431
I Change in boost inductor ripple current
Efficiency
%THD Percentage of allowable total harmonic distortion
2 Power Stage Design
2.1 Inductor Selection
The boost inductor is selected based on the maximum allowed ripple current at maximum dutycycle at the peak of minimum line voltage. The following equations can be used to calculate the
required inductor for the power stage with ripple current that is 20% of the peak input current.The calculated inductance for this design was roughly 570 H. In traditional application theboost voltage (VOUT(min)) would be fixed at roughly 390 V. For the same power levels and inputconditions for the traditional boost converter would require and inductance of roughly 1 mH. Tomake the design process easier the inductor was designed by Cooper Electronics.
DI +POUT 2
0.2VIN (min)
D + 1*VOUT (min)* VIN (min) 2
VOUT (min)
L1 + VIN (min) 2 D
DI fS
2.2 Boost Switch Selection (D1) and Boost Diode Selection (Q1)
To properly select D1 and Q1 a power budget is generally set for these devices to maintain thedesired efficiency goal. Equations (4), (5), and (6) are used to estimate power loss in theswitching devices. To meet the power budget for this design an IRFP450 HEX FET andHFA08TB60 fast recovery diode from International Rectifier were chosen for this design to meetthe power constraints.
To calculate the loss in Q1:
IRMS_FET +POUT
VIN (min) 2 2*
16 VIN(min) 2
3 p VOUT(min) IRMS_L + POUTVOUT (min)
PGATE + QGATE VGATE fS
PCOSS +12
COSS VOUT(min)2
fS
(1)
(2)
(3)
(4)
(5)
(6)
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PCOND_FET + RDS(on) IRMS_FET2
PFET_TR +12
VOUT(min) IRMS_L 0.9 tR ) tF fS
PQ1 +
PGATE)
PCOSS)
PCOND_FET)
PFET_TR
To calculate the loss in D1:
IRMS_DIODE +POUT
VOUT (min)
16 VOUT(min)
3 p VIN(min) 2
PCOND_DIODE + VF IRMS_DIODE
PDIODE_CAP +CDIODE
2 VOUT(min)
2
fS
PDIODE_TR +
1
2V
OUT(min)IRMS_DIODE
tRR
fS
PDIODE + PCOND_DIODE) PDIODE_CAP) PCOND_TR
2.3 Benefits of the Boost Follower Topology on the Power Stage at Low-Line
The more traditional PFC preregulator topology has a fixed output voltage that is greater thanthe peak line voltage. The fixed boost voltage for a universal input is typically set at 390 V. Theboost follower is designed so that the output voltage is greater than the peak input voltage. Forthis design the output tracks the input from 206 V to 390 V. From the equations for transitionloss and capacitance loss for the boost switch (Q1), it can be observed that these losses shouldbe less at lower line voltages for the boost follower topology as compared to the traditional
preregulator. The calculated losses for Q1 and D1 in the traditional topology were approximately25 W and the calculated losses for switch and diode for the boost follower was approximately17.4 W. The boost follower topology should be at least 3% more efficient at low line than thetraditional topology. When compared to that of a traditional converter with the same powerlevels, the finished converters low-line efficiency is approximately 5% more efficient. (SeeFigure 3.)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
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EFFICIENCYvs
OUTPUT POWER
Figure 3.
Efficiency
(%)
POUT Output Power W25 50 75 100 125 150 175 200 225 250
82
84
86
88
96
90
92
94
98
100
85 VRMSof Boost-Follower PFC
85 VRMSof Traditional PFC
2.4 Heat Sinks
Equation (15) calculates the minimum required thermal impedances of the heat sinks (RSA)required for this design. The heat sinks are designed to ensure that the junction tempature staysbelow 75% of the rated maximum. The heat sinks require a fan capable of forcing 40C air at150 LFPM. The heat sink required for Q1 using the traditional topology required an AVVID heatsink part number 53002 that is approximately 4.125 cubic inches. The heat sink for the boost
follower topology required an AVVID heat sink part number 531202 of approximately 1.38 cubicinches which is about 66% smaller than the heat sink used in the traditional design.
RqSA +TJ(max)* TA * PSEMI RqCS)RqJC
PSEMI
2.5 Holdup Capacitor Selection
Equation (16) is used to estimate the size of the hold-up capacitor and the maximum allowableRMS current through the boost capacitor. The hold-up capacitor was designed for 16.7 ms of
holdup time (tHOLDUP) allowing the output 85 V of drop (VDROP). For this design the calculatedminimum hold-up capacitance was approximately 330 F requiring roughly 1.7 A of RMS currentat low-line operation. This minimum calculated capacitance value is roughly double of what isrequired in the traditional design. This is one of the negative aspects of using a boost followertopology.
C12 w 2 POUTtHOLDUP
VOUT(min)2
* VOUT(min)* VDROP2
(15)
(16)
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IRMS_C12 +POUT
VOUT (min)
16 VOUT(min)
3 p VIN(min) 2 * 1
2.6 Multiplier Setup
The multiplier is used to shape the input current waveform and must be set up correctly to getproper PFC. Equations (18) and (19) are used to set up the multiplier.
R13)R21 +VIN(max) 2
500 mA
R6 + 1.4 VVIN(min)
R13)R212 0.9
Three voltage signals in this circuit, having a 120-Hz ripple component, contribute to input
current total harmonic distortion (THD). The voltage feedforward (VFF) of the multiplier is onethat contribute to THD. To meet the design goal of less than 5% THD, each signal is allowed tocontribute only 1.5% allowable 120-Hz distortion (%THD). To meet the current THDrequirements, C6 is set to attenuate the 120-Hz voltage ripple present on the VFF input of themultiplier to 1.5% (%THD) of the VFF pins voltage range.
C6 + 12 p%THD
66% 120 HzR6
2.7 Peak Current Limit
The UCC3819 has a peak current limit comparator that can be set up with a voltage divider
using the VREF pin of the PWM controller. R14, R12 and R11 are selected to have the peaklimit comparator trip at 110% of the maximum output power to protect Q1. This comparator limitsonly the current through the switch and not the current drawn by the output.
(17)
(18)
(19)
(20)
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2.8 Power Limiting
Resistor R9 is selected to achieve soft power limiting at maximum output power[1].
R9 +
POUT 2
hVIN(max) R14
IMO_MAX(high_line) , R9+ R10
2.9 Current Amplifier
Equations (22) and (23) are used to compensate the current loop with a desired crossoverfrequency at 1/10 of the switching frequency. Resistor R8 and capacitor C9 form a zero at thedesired crossover frequency that gives an added 45 degrees of phase margin for circuit stability.Capacitor C8 and and resistor R8 form a high-frequency pole to attenuate any high-frequencynoise that may be present in the system.
GPID +VOUT(max) R14
2 p fS10 L1 Osc_AmplitudeR8 + 1
GPID, C9 + 1
2 p fS10R8
, C8 + 1
2 p fS2 R8
3 VAI Input Sensing Circuit with Clamp
The UCC3819 PWM controller allows the user to set the reference voltage (VAI) externally. It isthis feature that allows the designer to use an integrated PWM controller with a boost follower
topology. With a few external components, a circuit can be constructed that sets VAI proportionalto the input voltage. This reference voltage is then used to make the output voltage track theinput voltage. Figure 4 shows the external components that are required to generate the VAIvoltage.
(21)
(22)
(23)
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VCC
VREC
1
2
3
4
8
7
6
5
U2
OP07
C19
33 pF
C18
C160.01 F
C174.7 F
R3322.1 k
R32499 k
R31499 k
R34432
VFF
R353.3 k
R362 k
UDG02076
1 F
D13TLV431CLP
Figure 4. VAI Output Sensing Schematic
R31, R32, R33 and C17 form a voltage divider with a single-pole filter that is used to monitor theline voltage. R35, R36, and D13 form a VAI clamp to ensure the boost voltage does not exceedthe design specification of 390 V. Equations (24) and (25) can be used to select the propercomponents for the circuit.
VAI(min) +VAI(max)
2
R33 +
VAI(min) (R31)R32)
VIN(min) 0.9* VAI(min)
The VAI signal includes a 120-Hz component that can contribute to THD. Capacitor C17 isselected to keep its contribution to less than 1.5% THD.
C17 + 1
2 pVAI(max)%THD
VIN(max) 2 66%
120 Hz R33
Setting up the clamp voltage requires that the divider to the VSENSE pin be set up first.
R3 +V
AI(min)(R19
)R2)
VOUT(min)* VAI(min)
VCLAMP +VOUT(max)R3
R19)R29)R3
R35 +VCLAMP* VREF_TL431R36
VREF_TL431
(24)
(25)
(26)
(27)
(28)
(29)
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3.1 Voltage Amplifier
The voltage amplifier is compensated to attenuate the 120-Hz boost-ripple voltage (VPP) in orderto reduce its contribution to THD.
VPP +
POUTh
p 120 HzC12 VOUT(min)
GVEA +%THD VEA(max)* VEA(min)
VPP 100
C8 + 12 p 120 HzGVEAR9
fC +POUT
VEA(max)* VEA(min) VOUT(min) 2 pC12 1
2 pR9C8R8 + 1
2 p fS10C8
4 Slower Voltage Loop Small Signal Transient Response at High Line
Another drawback to using a boost follower topology is the small signal transient response isslower at lower line voltages. Equations (35) through (38) model the voltage loop frequencyresponse of both a boost follower and traditional PFC offline voltage regulator. These equationsdescribe the power stage gain (G
PS(f)) as inversely proportional to output voltage. In the
boost-follower topology the voltage loop is compensated when the boost voltage is at its lowestto ensure circuit stability. As the input voltage increases, VOUT increases, which decreases theoverall loop gain (TS(f)). As TS(f) decreases the loop crosses over at a lower fC, resulting inslower transient response. The traditional topology has a fixed output voltage and a fixed TS(f),which results in a fixed transient response, independent of line voltage.
s(f) +j 2 p f
GPS(f) +POUT
VEA(max)* VEA(min) VOUT s(f)C12
GEA(f) +(s(f)R8C9) 1
)
S(f)R9 (C9) C8) S(f)R8 C9C8C9)C8) 1Ts(f) +*GPS(f)GEA(f)
Figures 5 and 6 show the measured voltage loop small-signal frequency response. The smallsignal transient response at low line is roughly twice as fast as it is at high line.
(30)
(31)
(32)
(33)
(34)
(35)
(36)
(37)
(38)
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50
40
30
20
10
0
10
20
30
40
50
1 1060
40
20
0
40
60
80
100
120
140
20
100
G
Gain
(dB)
f Frequency Hz
Phase
(_)
Phase
Gain
Figure 5. Voltage Loop Low-Line Frequency Response at Maximum Load
G
Ga
in
(dB)
f Frequency Hz
Phase
(_)
1 1050
40
30
20
10
0
10
20
30
40
50
10060
40
20
0
40
60
80
100
Phase
Gain
Figure 6. Voltage Loop High-Line Frequency Response at Maximum Load
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5 Reference Design Performance Curves
The following graphs show the performance of the reference design.
TOTAL HARMONIC DISTORTION (THD)vs
OUTPUT POWER
Figure 7.
THDTotalHarmonicDistortion
(%)
POUT Output Power W
250
1
2
3
4
5
6
7
8
9
10
50 75 100 125 150 175 200 225 250
VRMS= 265
VRMS= 120 VRMS= 85
82
84
86
88
96
90
92
94
98
100
25 50 75 100 125 150 175 200 225 250
Figure 8.
EFFICIENCYvs
OUTPUT POWER
POUT Output Power W
Efficiency
(%)
VRMS= 265VRMS= 85
VRMS= 120
POWER FACTORvs
OUTPUT POWER
Figure 9.
PF
PowerFactor
(%)
POUT Output Power W
25 50 100 125 150 175 200 22575 25040
50
60
70
80
90
100
VRMS= 265
VRMS= 85
VRMS= 120
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LOW-LINE OPERATION
Figure 10.
t Time 5 ms / div
VIN=85 VPOUT= 25 W
Input Current(500 mA / div)
Rectified Line Voltage(100 V / div)
Figure 11.
LOW-LINE OPERATION
VIN=85 VPOUT= 250 W
t Time 5 ms / div
Input Current(5 A / div)
Rectified Line Voltage(100 V / div)
HIGH-LINE OPERATION
Figure 12.
t Time 5 ms / div
VIN=265 VPOUT= 25 W
Rectified Line Voltage(100 V / div)
Input Current(200 mA / div)
Figure 13.
HIGH-LINE OPERATION
VIN=265 VPOUT= 25 W
t Time 5 ms / div
Input Current(2 A / div)
Rectified Line Voltage
(100 V / div)
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6 References1. Laszlo Balogh, UCC3854A/B and UCC3855A/B Provide Power Limiting With Sinusoidal Input
Current, Texas Instruments Literature No. SLUA196.
2. Lloyd Dixon, High Power Factor Switching Prergulator Design Optimization, Unitrode PowerSupply Design Seminar SEM700, 1990, Topic 7, Texas Instruments Literature No. SLUP093.
3. POWER CONVERSION, September 1992 Proceedings, (LIST PUBLICATION HERE) p. 67
4. Practical Considerations in Current Mode Power Supplies, Application Note, Texas InstrumentsLiterature No. SLUA110.
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