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AN-6920MR
Integrated Critical-Mode PFC / Quasi-Resonant Current-Mode PWM Controller FAN6920
1. Introduction
This application note presents practical step-by-step design considerations for a power supply system employing Fairchild's FAN6920 PFC / PWM combination controller, an integrated Boundary Conduction Mode (BCM) Power Factor Correction (PFC) controller and Quasi-Resonant (QR) PWM controller. Figure 1 shows the typical application circuit, where the BCM PFC converter is in the front end and the dual-switch quasi-resonant flyback converter is in the back end. FAN6920 achieves high efficiency with relatively low cost for 75~200W applications where BCM and QR operation with a two-switch flyback provides best performance. A BCM boost PFC converter can achieve better efficiency with lower cost than continuous conduction mode (CCM) boost PFC converter. These benefits result from the elimination of the reverse-recovery losses of the boost diode and zero-voltage switching (ZVS) or near ZVS (also called valley switching) of boost switch. The dual-switch QR flyback converter for the DC/DC conversion achieves higher efficiency than the conventional flyback converter with leakage inductor energy recycles. The FAN7382, a monolithic high- and low-side gate-driver IC, can drive MOSFETs that operate up to +600V. Efficiency can be further improved by using synchronous rectification in the secondary side instead of a conventional rectifier diode.
Figure 1. Typical Application Circuit
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
2. Operation Principles of BCM Boost PFC Converters
The most widely used operation modes for the boost converter are continuous conduction mode (CCM) and boundary conduction mode (BCM). These refer to the current flowing through the energy storage inductor of the boost converter, as depicted in Figure 2. As the names indicate, the inductor current in CCM is continuous; while in BCM, the new switching period is initiated when the inductor current returns to zero, which is at the boundary of continuous conduction and discontinuous conduction operations. Even though the BCM operation has higher RMS current in the inductor and switching devices, it allows better switching condition for the MOSFET and the diode. As shown in Figure 2, the diode reverse recovery is eliminated and a fast silicon carbide (SiC) diode is not needed. MOSFET is also turned on with zero current, which reduces switching loss.
source. This behavior makes the boost converter in BCM operation an ideal candidate for power factor correction. A by-product of the BCM is that the boost converter runs with variable switching frequency that depends primarily on the selected output voltage, the instantaneous value of the input voltage, the boost inductor value, and the output power delivered to the load. The operating frequency changes as the input current follows the sinusoidal input voltage waveform, as shown in Figure 3. The lowest frequency occurs at the peak of sinusoidal line voltage.
Figure 3. Operation Waveforms of BCM PFC
The voltage-second balance equation for the inductor is:
VIN (t ) tON = (VO.PFC - VIN (t )) tOFF
where VIN(t) is the rectified line voltage.
(1)
The switching frequency of BCM boost PFC converter is obtained as:
f SW = = 1 1 VO. PFC - VIN (t ) = tON + tOFF tON VOUT
1 VO.PFC - VIN , PK | sin(2 f LINE t ) | tON VO.PFC
(2)
where VIN,PK is the amplitude of the line voltage and fLINE is the line frequency.
Figure 2. CCM vs. BCM Control
The fundamental idea of BCM PFC is that the inductor current starts from zero in each switching period, as shown in Figure 3. When the power transistor of the boost converter is turned on for a fixed time, the peak inductor current is proportional to the input voltage. Since the current waveform is triangular, the average value in each switching period is also proportional to the input voltage. In the case of a sinusoidal input voltage, the input current of the converter follows the input voltage waveform with a very high accuracy and draws a sinusoidal input current from the
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
Figure 4 shows how the MOSFET on time and switching frequency change as output power decreases. When the load decreases, as shown in the right side of Figure 4, the peak inductor current diminishes with reduced MOSFET on time and the switching frequency increases.
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AN-6920
APPLICATION NOTE
3. Operation Principle of DualSwitch Quasi-Resonant Flyback Converter
Dual-switch QR flyback converter topology derived from a conventional square wave high/low side pulse-width modulated (PWM), dual-switch flyback converter have leakage inductance recycling loop, so that primary-side snubber can remove, and can recycle the energy of the leakage inductance stored during switch's turn-on period. This is especially suitable for high-power (up to 200W) and slim-type applications. Figure 6 and Figure 7 show the simplified circuit diagram of a dual-switch quasi-resonant flyback converter and its typical waveforms. The basic operation principles are: When primary power switches turn on, input voltage (VIN) is applied across the primary-side inductor (Lm). MOSFET current (IDS) increases linearly from zero to the peak value (Ipk). During this time, the energy is drawn from the input and stored in the inductor. When the primary power switches turn off, leakage inductance of the transformer produces a voltage spike on the PWM switches and causes a drain voltage increase to the VIN voltage. Clamped to this level, the leakage inductance energy stored during PWM switches turning on could be released by diode (D1, D2) and the voltage on the primary-side winding is clamped to VIN. Therefore, the energy stored in the inductor forces the rectifier diode (D3) to turn on. During the diode ON time (tD), the output voltage (Vo) is applied across the secondary-side inductor and the diode current (ID) decreases linearly from the peak value to zero. At the end of tD, all the energy stored in the inductor has been delivered to the output. During this period, the output voltage is reflected to the primary side as Vo x NP/NS. The sum of input voltage (VIN) and reflected output voltage (Vox Np/Ns) is imposed across the MOSFETs. The voltage on the primary-side winding is clamped to VIN. If the voltage of input is too low, the voltage of secondary side could be lower than output voltage target (VIN < NP/NSxVO), and the output voltage would follow input voltage drop. When the inductor current reaches zero, the drain-tosource voltage (VDS) begins to resonate by the resonance between the primary-side inductor (Lm) and the MOSFET output capacitor (Coss1, Coss2) with an amplitude of Vox Np/Ns on the offset of VIN, as depicted in Figure 7. Quasi-resonant switching is achieved by turning on the MOSFET when VDS reaches its minimum value. This reduces the MOSFET turn-on switching loss caused by the capacitance loading between the drain and source of the MOSFET.
Figure 4. Frequency Variation of BCM PFC
Since the design of line filter and inductor for a BCM PFC converter with variable switching frequency should be at minimum frequency condition, it is worthwhile to examine how the minimum frequency of BCM PFC converter changes with operating conditions. Figure 5 shows the minimum switching frequency, which occurs at the peak of line voltage, as a function of the RMS line voltage for different output voltage settings. For universal line application, the minimum switching frequency occurs at high line (265VAC) as long as the output voltage is lower than about 405V.
Figure 5. Minimum Switching Frequency vs. RMS Line Voltage (L = 780 H, POUT = 100W)
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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APPLICATION NOTE
Figure 6. Schematic of Dual-Switch Flyback Converter
and low cost. The bootstrap circuit is useful in a highvoltage gate driver and operates as follows. When the highside VS goes below the IC supply voltage VDD or is pulled down to ground (the low-side switch is turned on and the high-side switch is turned off), the bootstrap capacitor, CBOOT, charges through the transformer primary-side, from the VDD power supply, as shown in Figure 8. This is provided by VBS when high-side VS is pulled to a higher voltage by the high-side switch. The VBS supply floats and the bootstrap diode reverses bias and blocks the rail voltage (the low-side switch is turned off and high-side switch is turned on) from the IC supply voltage, VDD. However, the dual-switch flyback high-side and low-side MOSFET turn on and off at the same time. Therefore, once the high-side MOSFET turns on, high-side VS equals PFC VO, the VDD can't charge the CBOOT, even though the high-side VS is pulled down to ground at leakage energy recycle period, but the period is too short to charge CBOOT. Figure 8 shows the high-side gate-driver circuit with the auxiliary power supply. If VCBOOT is less than the HV IC under-voltage threshold, the high-side gate output (VHO) maintains turned-off state, then the low-side MOSFET turns on and charges the CBOOT for one cycle, high-side driver restarts at the next PWM cycle. Finally, the voltage of auxiliary power supply follows the output voltage rise and continues to supply energy to the high-side circuit.
Ids (MOSFET Drain-to-Source Current) Ipk
ID (Diode Current) Ipk Np/Ns
Vds
Vo/2 Np/Ns VIN VIN /2 Vo/2 Np/Ns
tON tS
tD
Figure 7. Typical Waveforms of Dual-Switch QR Flyback Converter
4. High-Side Gate-Drive Circuit
Figure 8 and Figure 9 show the high/low-side gate driver circuit. The high-side gate drive IC achieves highperformance, is simple and inexpensive, but has a limitation for dual-switch flyback application. One of the most widely used methods to supply power to the high-side gate driver circuitry of the high-voltage gatedrive IC is the bootstrap power supply. This bootstrap power supply technique has the advantage of being simple
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011 4
Figure 8. High-Side Driver Circuit and Start Waveform
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AN-6920
APPLICATION NOTE
Figure 9 shows the high-side driver circuit with standby power supply. This circuit uses the independent power supply for HV IC to keep the high-side driver operating. This circuit is used for applications with standby power, like the PC power.
The MOSFET conduction time with a given line voltage at a nominal output power is given as:
tON =
2 PO. PFC L VLINE 2
(4)
where: is the overall efficiency; L is the boost inductance; and POUT is the nominal output power. Using Equation 4, the minimum switching frequency of Equation 3 can be expressed as:
f SW , MIN =
VLINE 2
2 POUT
VO .PFC - 2VLINE L VO. PFC
(5)
Since the minimum frequency occurs at high line as long as the PFC output voltage is lower than 405V (as observed in Figure 5); once the output voltage and minimum switching frequency are set, the inductor value is given as:
Figure 9. High-Side Driver Circuit with Standby Power Supply
L=
(VLINE . MAX ) 2
2 POUT f SW , MIN
VO . PFC - 2VLINE .MAX VO. PFC
(6)
5. Design Considerations
This design procedure uses the schematic in Figure 1 as a reference. A 90W PFC application with universal input range is selected as a design example. The design specifications are: Line Voltage Range: 90~264VAC (60Hz) Output of DC/DC Converter: 19V/4.7A (90W) PFC Output Voltage: 400V Minimum PFC Switching Frequency: > 50kHz Brownout Protection Line Voltage: 70VAC Output Over-Voltage Protection Trip Point: 22.5V Overall Efficiency: 90% (PFC Stage: 95%, DC/DC Stage: 95%)
where VLINE,MAX is the maximum line voltage. As the minimum frequency decreases, the switching loss is reduced, while the inductor size and line filter size increase. Thus, the minimum switching frequency should be determined by the trade-off between efficiency and the size of magnetic components. The minimum switching frequency must be above 20kHz to prevent audible noise. Once the inductance value is decided, the maximum peak inductor current at the nominal output power is obtained at low-line condition as:
I L. PK =
2 2 POUT
VLINE , MIN
(7)
where VLINE,MIN is the minimum line voltage. Since the maximum on time is internally limited at 20 s, it should be smaller than 20 s such as:
Part A. PFC Section
[STEP-A1] Boost Inductor Design
The boost inductor value is determined by the output power and the minimum switching frequency. From Equation 2, the minimum frequency with a given line voltage and MOSFET on time is obtained as:
tON MAX =
2 POUT L < 20 s VLINE .MIN 2
(8)
The number of turns of boost inductor should be determined considering the core saturation. The minimum number is given as:
f SW , MIN =
1 tON
VO.PFC - 2VLINE VO.PFC
(3)
N BOOST
I L, PK L Ae B
(9)
where: VLINE is RMS line voltage; tON is the MOSFET conduction time; and VO.PFC is the PFC output voltage.
where is Ae is the cross-sectional area of core and B is the maximum flux swing of the core in Tesla. B should be set below the saturation flux density.
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(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
AN-6920
APPLICATION NOTE
(Design Example) Since the output voltage is 400V, the minimum frequency occurs at high-line (264VAC) and fullload condition. Assuming the overall efficiency is 90% and selecting the minimum frequency as 50kHz, the inductor value is obtained as: VLINE ,MAX 2 VO. PFC. H - 2 VLINE ,MAX
L=
2 POUT f SW ,MIN
VO. PFC
=
0.9 2642 400 - 2 264 = 464H 2 90 50 x 103 400
The inductance of boot inductor is determined as 450 H. The maximum peak inductor current at nominal output power is calculated as:
I L, PK = 2 2 POUT 2 2 90 = = 3.14 A VLINE , MIN 0.9 90
Figure 10. Internal Block for ZCD
tON
MAX
VLINE. MIN 2 = 11.1s < 20s
=
2 POUT L
=
2 90 450 x 10 0.9 902
-6
Assuming QP2512 core (3C96, Ae=110mm2) is used and setting B as 0.30T, the primary winding should be:
N BOOST I L ,PK L Ae B = 3.14 x 450 x 10-6 = 42.82turns 110 x 10-6 x 0.30
N ZCD (VO.PFC - VIN ) N BOOST
N ZCD VIN N BOOST
Thus, the number of turns (NBOOST) of boost inductor is determined as 44.
[STEP-A2] Auxiliary Winding Design
Figure 11 shows the internal block for zero-current detection (ZCD) for the PFC. FAN6920 indirectly detects the inductor zero current instant using an auxiliary winding of the boost inductor. The auxiliary winding should be designed such that the voltage of the ZCD pin rises above 2.1V when the boost switch is turned off to trigger internal comparator as:
N ZCD (VO. PFC . H - 2VLINE .MAX ) > 2.1V N BOOST
(10) (Design Example) The number of turns for the auxiliary
Figure 11. ZCD Waveforms
where VO.PFC.H is the PFC output voltage for high line condition. The ZCD pin has upper and lower voltage clamping at 10V and 0.45V, respectively. When ZCD pin voltage is clamped at 0.45V, the maximum sourcing current is 1.5mA and, therefore, the resistor RZCD should be designed to limit the current of the ZCD pin below 1.5mA in the worst case as:
RZCD > VIN N AUX = 1.5mA N BOOST 2VLINE .MAX N AUX 1.5mA N BOOST
(11)
ZCD winding is obtained as:
N ZCD > 2.1N BOOST (VO . PFC . H - 2VLINE .MAX ) = 3.5 turns
With a margin, NAUX is determined as 8 turns. Then RZCD is selected from:
RZCD > 2VLINE MAX N ZCD 2 264 8 = = 45.248k 1.5mA N BOOST 1.5 x10 -3 44
as 47.5k.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
[STEP-A3] Design VIN Sense Circuit
FAN6920 senses the line voltage using the averaging circuit shown in Figure 12, where the VIN pin is connected to the AC line through a voltage divider and low-pass filter capacitor. When VIN drops below 1V, the COMP pin is clamped at 1.6V to limit the energy delivered to output. VO.PFC decreases with the INV pin voltage. When the INV pin voltage drops below 1V, brownout protection is triggered, stopping gate drive signals of PFC and DC/DC. This protection is reset when VDD drops below the turn-off threshold (UVLO threshold). When VDD rises to the turn-on voltage after dropping below the turn-off threshold, FAN6920 resumes normal operation (if VIN is above 1.2V). The brownout protection level can be determined as:
VLINE .BO = RVIN1 + RVIN 2 RVIN 2 22
(Design Example) Choosing the margin factor as 35%,
the sensing resistor is selected as:
RCS1 =
0.82 0.82 = = 0.19 I L.PK (1 + K MARGIN ) 3.14(1 + 0.35)
[STEP-A6] Design Compensation Network
The feedback loop bandwidth must be lower than 20Hz for the PFC application. If the bandwidth is higher than 20Hz, the control loop may try to reduce the 120Hz ripple of the output voltage and the line current is distorted, decreasing power factor. A capacitor is connected between COMP and GND to attenuate the line frequency ripple voltage by 40dB. If a capacitor is connected between the output of the error amplifier and the GND, the error amplifier works as an integrator and the error amplifier compensation capacitor can be calculated by:
CCOMP > 100 g M 2.5 2 2 f LINE VO.PFC.H
(15)
(12)
The minimum line voltage for PFC startup is given as:
VLINE.STR = 1.2 VLINE.BO
(13)
To improve the power factor, CCOMP must be higher than the calculated value. However, if the value is too high, the output voltage control loop may become slow.
(Design Example)
CCOMP > =
100 g M 2.5 2 2 f LINE VO. PFC .H
100 125 x10-6 2.5 = 103nF 2 2 60 400
470nF is selected for better power factor.
Figure 12. VIN Sensing Internal Block
Part B. DC/DC Section
(Design Example) Setting the brownout protection trip point as 69VAC:
RVIN 1 + RVIN 2 22 = VLINE . BO = 62 RVIN 2
Determining RVIN2 as 154k , RVIN1 is determined as 9.4M . The line voltage to startup the PFC is obtained as:
VLINE.STR = 1.2 VLINE.BO = 83V AC
[STEP-A4] Current Sensing Resistor for PFC
FAN6920 has pulse-by-pulse current limit function. It is typical to set the pulse-by-current limit level at 20~30% higher than the maximum inductor current:
[STEP-B1] Determine the Secondary-Side Rectifier nom Voltage (VD ) Figure 13 shows the typical operation waveforms of a dualswitch quasi-resonant flyback converter. When the MOSFET is turned off, the input voltage (PFC output voltage), together with the output voltage reflected to the primary (VRO), is imposed on the MOSFET. When the MOSFET is turned on, the sum of input voltage reflected to the secondary side and the output voltage is applied across the secondary-side rectifier. Thus, the maximum nominal voltage across the MOSFET (Vdsnom) and diode are given as:
VDS
nom
=
VO. PFC + n(VO + VF ) VO.PFC + VRO = 2 2
(16)
where:
0.82 RCS1 = I L. PK (1 + K MARGIN )
(14)
n= VD
7
NP VRO = N S VO + VF = VO + VO.PFC n
(17)
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where KMARGIN is the margin factor and 0.82V is the pulseby-pulse current limit threshold.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
nom
AN-6920
APPLICATION NOTE
By increasing VRO (i.e. the turns ratio, n), the capacitive switching loss and conduction loss of the MOSFET are reduced. This also reduces the voltage stress of the secondary-side rectifier. VRO should be determined by a trade-off between the hold-up time and voltage stresses of the secondary-side rectifier diode.
output capacitor effects the hold-up time. The minimum PFC output voltage for required hold-up time is obtained as:
VO. PFC
min
2 t HOLD POUT 2 + VO. PFC . HLD C O.PFC
(18)
where: tHOLD is the required holdup time; POUT is total nominal output power; VO.PFC.L is the minimum PFC output voltage for required hold-up time; and VO.PFC.HLD is the allowable minimum PFC output voltage during the hold-up time. The voltage of transformer primary-side winding is clamped to VO,PFC, so the minimum PFC output voltage during the hold-up time is obtained as:
VO. PFC . HLD = n (VO + V F )
(19)
where VF is the synchronous rectification MOSFET drainto-source diode forward voltage, VF, about 1V.
(Design Example) Because the PFC response is very slow,
the hold-up time needs to be more than 12ms to avoid PFC output voltage drop effecting the output voltage at dynamic-load condition. Assuming hold-up time is 12ms, the VO.PFCmin as:
VO. PFC =
Figure 13. Typical Waveforms of QR Flyback Converter (Design Example) Assuming 75V MOSFET (synchronous rectification) is used for secondary side, with 70% voltage margin:
min
2 t HOLD POUT + [n (VO + VF )]2 CO. PFC
2 12 x 10 -3 x 90 + [12 (19 + 1)]2 = 286V -6 0.9 100 x 10
VO.PFC n VO. PFC 400 n > = = 11.94 0.7 75 - VO 0.7 75 - 19 0.7 75 > VD
nom
= VO +
[STEP-B3] Transformer Design Figure 14 shows the typical switching timing of a quasiresonant converter. The sum of MOSFET conduction time (tON), diode conduction time (tD), and drain voltage falling time (tF) is the switching period (tS). To determine the primary-side inductance (Lm), the following parameters should be determined first. Minimum Switching Frequency (fS.QRmin)
The minimum switching frequency occurs at the minimum input voltage and full-load condition, which should be higher than 20kHz to avoid audible noise. By increasing fS.QRmin, the transformer size can be reduced. However, this results in increased switching losses. Determine fS.QRmin by a trade-off between switching losses and transformer size. Typically fS.QRmin is set around 70kHz.
Thus, n is determined as 12.
[STEP-B2] Calculate the Minimum PFC Output Voltage (VO.PFC.L) for Hold-up Time
For the PFC output capacitor, it is typical to use 0.5~1 F per 1W output power for 400V PFC output. Meanwhile, it is reasonable to use ~1 F per 1W output power for variable output PFC due to the larger voltage drop during the holdup time than 400V output. In this example, two 100 F capacitors are selected for the output capacitors (CO.PFC). Lower PFC output voltage can improve system efficiency at low AC line voltage condition, but the energy of the PFC
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
Falling Time of the MOSFET Drain Voltage (tF)
As shown in Figure 14, the MOSFET drain voltage fall time is half of the resonant period of the MOSFET's effective output capacitance and primary-side inductance. The typical value for tF is 0.6~1.2 s.
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APPLICATION NOTE
Non-Conduction Time of the MOSFET (tOFF)
FAN6920 has a minimum non-conduction time of MOSFET (5 s), during which turning on the MOSFET is prohibited. To maximize the efficiency, it is necessary to turn on the MOSFET at the first valley of MOSFET drain-to-source voltage at heavy-load condition. Therefore, the MOSFET non-conduction time at heavy load condition should be larger than 5 s. After determining fS.QRmin and tF, the maximum duty cycle is calculated as:
When designing the transformer, the maximum flux density swing in normal operation (B) as well as the maximum flux density in transient (Bmax) should be considered. The maximum flux density swing in normal operation is related to the hysteresis loss in the core, while the maximum flux density in transient is related to the core saturation. The minimum number of turns for the transformer primary side to avoid over temperature in the core is given by:
N P min =
Dmax =
VRO (1 - f S .QR min t F ) VRO + VO.PFC .L
Lm I DS PK Ae B
(26)
(20)
where B is the maximum flux density swing in Tesla. If there is no reference data, use B =0.25~0.30T. Once the minimum number of turns for the primary side is determined, calculate the proper integer for NS so that the resulting NP is larger than Npmin as:
Then, the primary-side inductance is obtained as:
Lm =
QR (VO.PFC .L Dmax ) 2
2 f S .QR min POUT
(21)
Once Lm is determined, the maximum peak current and RMS current of the MOSFET in normal operation are obtained as:
N P = n N S > N P min
(27)
I DS PK =
VO.PFC .L Dmax Lm f S .QR min Dmax 3
The number of turns of the auxiliary winding for VDD is given as:
(22)
N AUX =
(23)
VDD + VFA NS (VO + VF )
nom
(28)
I DS RMS = I DS PK
The MOSFET non-conduction time at heavy load and low line is obtained as:
where VDDnom is the nominal VDD voltage, the range about 12~20V, and the VFA is forward-voltage drop of VDD diode, about 1V. Once the number of turns of the primary winding is determined, the maximum flux density when the drain current reaches its pulse-by-pulse current limit level should be checked to guarantee the transformer is not saturated during transient or fault condition. The maximum flux density (Bmax) when drain current reaches ILIM is given as:
tOFF .L =
(1 - Dmax ) f S .QR min
(24)
The MOSFET non-conduction time at heavy load and higher voltage of PFC output (VO.PFC.H) is obtained as:
tOFF . H = tOFF . L
VO.PFC . L VO. PFC .H + VRO VO. PFC .H VO.PFC .L + VRO
(25)
Bmax =
Lm I LIM < Bsat Ae N P
(29)
To guarantee the first valley switching at high line and heavy-load condition, tOFF.H should be larger than 5 s.
Bmax should be smaller than the saturation flux density.
If there is no reference data, use Bsat =0.35~0.40T.
(Design Example) Setting the minimum frequency is 65kHz and the falling time is 1 s, and assuming VO.PFC.L=300V:
Dmax = =
VRO min (1 - f S .QR t F ) VRO + VO. PFC . L
240 (1 - 70 x 10 3 1 x 10 -6 ) = 0.413 240 + 300
Figure 14. Switching Timing of QR Flyback Converter
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011 www.fairchildsemi.com 9
AN-6920
APPLICATION NOTE
Lm = =
(VO. PFC . L Dmax ) 2
2 f s.QR
min
[STEP-B3] Design the Valley Detection Circuit
The valley of MOSFET voltage is detected by monitoring the current flowing out of the DET pin. The typical application circuit is shown as Figure 15 and typical waveforms are shown in Figure 16. The DET pin has upper and lower voltage clamping at 5V and 0.7V, respectively. The valley detection circuit is blanked for 5 s after the MOSFET is turned off. When VAUX drops below zero, VDET is clamped at 0.7V and current flows out of the DET pin. MOSFET is turned on with 200ns delay once the current flowing out of DET pin exceeds 30 A. To guarantee that valley detection circuit is triggered when the DET pin is clamped at 0.7V, the current flowing through RDET2 should be larger than 30 A as:
0.7 > 30 A RDET 2
(30)
PO
2
0.95 (300 0.413) = 1160H 2 70 x 103 90
PK
I DS =
=
VO .PFC . L Dmax min Lm f S .QR
300 0.413 = 1.53 A 1160 x 10 -6 70 x 103
tOFF . L =
(1 - Dmax ) 1 - 0.413 = = 8.39s min 70 x 103 f S .QR
tOFF .H = tOFF .L = 8.39 x 10 -6
VO .PFC .L VO. PFC . H + VRO VO. PFC . H VO. PFC . L + VRO
300 400 + 240 = 7.46 s > 5s 400 300 + 240
Assuming QP2912 (Ae=144mm2) core is used and the flux swing is 0.28T
NP
min
=
L m I DS 1160 x 10 -6 1.53 = = 44 Ae B 144 x 10 -6 0.28
N P = n N S 12 3 = 36 < N P 12 4 = 48 > N P
min min
PK
NP is determined as 48, NS is 4.
12 + VFA 20 + VFA N S < N AUX < NS (VO + VF ) (VO + VF ) 12 + 1 20 + 1 4 < N AUX < 4 20 20 2.6 < N AUX < 4.2
Figure 15. Typical Application Circuit of DET Pin
Thus, NAUX is determined as 3. The number of turns of the high-side driver auxiliary is given as: NAUX.H NAUX NAUX.H is determined as 2. Assuming the pulse-by-pulse current limit for low PFC output voltage is 140% of peak drain current at heavy load:
VO NA NS
Bmax =
L m I LIM 1160 x 10 -6 2.14 = = 0.36T Ae N P 144 x 10 -6 48
- V O . PFC
NA NP
VO
NA RA N S RDET + RA
Figure 16.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
Waveforms of Valley Detection and VO OVP Detection
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10
AN-6920
APPLICATION NOTE
The output is indirectly monitored for over-voltage protection using the DET pin voltage while the MOSFET is turned off. The ratio of RDET1 and RDET2 should be determined as:
2. 5 = RDET 2 NA NA 1 VOVP = VOVP RDET 1 + RDET 2 N S K DET + 1 N S
(31)
where the ratio between RDET1 and RDET2 is obtained as:
K DET = RDET 1 N A VOVP = -1 RDET 2 N S 2.5
(32)
For a quasi-resonant flyback converter, the peak-drain current with a given output power decreases as input voltage increases. Thus, constant power limit cannot be achieved by using pulse-by-pulse current limit with constant threshold. FAN6920 has high/low line over-power compensation that reduces the pulse-by-pulse current limit level as input voltage increases. FAN6920 senses the input voltage using the current flowing out of the DET pin while the MOSFET is turned on. The pulse-by-pulse current limit level vs. DET current is depicted in Figure 18. The DET pin current for low-line and high-line PFC output voltages are given as:
VO.PFC . L I DET .L = NA - 0.7 NP
NA - 0. 7 NP
Figure 18. IDET-VLIMIT Curve
The relationship between IDET and VLIMIT in the linear region (IDET=100~500 A) can be approximated as:
VLIMIT = -877 I DET + 0.882
(35)
RDET 1
VO. PFC .H
+
0.7 RDET 2
VO.PFC . L
NA NP
NA NP
(33)
RDET 1
VO. PFC .H
(34)
Assuming two-level voltage PFC output: for a given output power, the ratio between drain-peak currents at low line and high line is obtained as:
I DET . H =
RDET 1
0. 7 + RDET 2
RDET 1
I DS PK . L VO . PFC . H VO . PFC . L + VRO = I DS PK . H VO . PFC . L VO . PFC . H + VRO
(36)
For a given output power, the ratio between pulse-by-pulse current limit levels at low line and high line is obtained as:
N -994 VO. PFC . L A + RDET 1 VLIMIT . L NP NA VLIMIT . H -994 V + RDET 1 O . PFC . H NP
(37)
To get a constant power limit, RDET1 should be determined such that Equations (38) and (39) are equal. However, for actual design, it is typical to use 108~115% of Equation (38), considering the pulse-by-pulse turn-off delay and increased PFC output voltage ripple at low line.
Figure 17. Switching Frequency and Peak-Drain Current Change as Input Voltage Increases
Once the current-limit threshold voltage is determined with RDET1, the current-sensing resistor value is obtained as:
VO . PFC . L VLIMIT = -877 ( NA - 0.7 NP 0.7 ) + 0.882 RDET 2
(38)
RDET 1
+
The current-sensing resistor value can be obtained from:
RCS 2 =
VLIMIT I DS LIM
(39)
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
(Design Example)
0. 7 > 30 A , RDET 2 < 23.3k RDET 2
[STEP-B4] Design the Feedback Circuit
Figure 19 is a typical feedback circuit mainly consisting of a shunt regulator and a photo-coupler. R01 and R02 form a voltage divider for output voltage regulation. RF and CF are adjusted for control-loop compensation. A small-value RC filter (e.g. RFB = 100, CFB = 1nF) placed from the FB pin to GND can increase stability substantially. The maximum source current of the FB pin is about 1.2mA. The phototransistor must be capable of sinking this current to pull the FB level down at no load. The value of the biasing resistor, RBIAS, is determined as:
Setting the OVP trip point at 22.5V,
K DET =
RDET 1 N AUX VOVP 3 22.5 = -1 = - 1 = 5.75 RDET 2 NS 2.5 4 2.5
Then RDET 1 = K DET R RDET 2 < 134k
I DS V V + VRO = O. PFC. H O. PFC . L PK . K VO. PFC. L VO. PFC . H + VRO I DS 400 300 + 240 = = 1.125 300 400 + 240
Using 113% of 1.125,
PK . L
VO - VOPD - VKA CTR > 1.2 x 10 -3 RBIAS
(40)
VLIMIT . L = 1.27 = VLIMIT . H - 994 VO. PFC . H - 994 300
- 994 VO. PFC .L
NA + RDET 1 NP NA + RDET 1 NP
where VOPD is the drop voltage of photodiode, about 1.2V; VKA is the minimum cathode to anode voltage of shunt regulator (2.5V); and CTR is the current transfer rate of the opto-coupler.
3 + RDET 1 - 18637.5 + RDET 1 48 = = 3 - 24850 + RDET 1 - 994 400 + RDET 1 48
Then, RDET1 = 47.5K and REDT2=8.25K. RDET1 and RDET2 are selected from the off-the-shelf components as 150k and 18k , respectively. Then, the pulse by pulse current limit threshold voltage is obtained as:
Figure 19. Feedback Circuit
VO. PFC . L VLIMIT = -877 ( = 0.474V
NA - 0.7 NP
RDET 1
+
0.7 ) + 0.882 RDET 2
(Design Example) Assuming CTR is 100%;
To set current limit level at low line as 115% of IDSPK
VO - VOPD - VKA CTR > 1.2 x 10-3 RBIAS RBIAS < VO - VOPD - VKA 19 - 1.2 - 2.5 = = 12.75k 1.2 x10-3 1.2 x 10-3
0.63 = 0.27 1.53 A x 1.15
330 resistor is selected for RBIAS. The voltage divider resistors for VO sensing are selected as 66.5k and 10k.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
[STEP-B5] Design the Over-Temperature Protection Circuit
The adjustable Over-Temperature Protection (OTP) circuit is shown in Figure 20. As can be seen, a constant sourcing current source (IRT) is connected to the RT pin. Once VRT is lower than 0.8V for longer than 10ms debounce time, FAN6920 is latched off. RRT can be determined by:
0.8V = ( RRT + RNTC @ OT ) x 100 A
(41)
Figure 20. Adjustable Over-Temperature Protection and External Latched-off Function
(Design Example) Assuming the resistance of NTC at overtemperature protection point is 4.3k;
RRT =
0.8V - 4.3k = 3.7k 100 A
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
Final Schematic of Design Example
This section summaries the final design example. The key system specifications are summarized in Table 1 and the key design parameters are summarized in Table 2. The final schematic is in Figure 21. To have enough hold-up time for VDD during startup, a two-stage circuit is used for VDD. To maximize the efficiency, the synchronous rectification using Fairchild's FAN6204 is used for the secondary rectifier.
Table 2.
Key Design Parameters PFC Stage
Table 1. System Specifications Input
Input Voltage Range Line Frequency Range 90~264VAC 47~63Hz
Output
Output Voltage (Vo) Output Power (Po) 19V 90W
PFC Inductor (LBOOST) 450 H Turns of PFC Inductor (NBOOST) 44T Turns of ZCD Auxiliary Winding (NZCD) 8T min Minimum Switching Frequency (fS.PFC ) 40kHz PWM Stage Turns of Primary Inductor of PWM Transformer (NP) 48T Turns of Auxiliary Winding of PWM Transformer 4T (NAUX) Turns of Auxiliary Winding of High-Side Driver 3T Transformer (NAUX.H) Turns Ratio of PWM Transformer (n) 12 Primary Inductor (LP) 1160 H min Minimum Switching Frequency (fs.QR ) 70kHz
NBOOST 44T
DPFC
RHV 150k
CINF2 470nF
NCZD 8T 10 RG1
Q1
RPFC1 9.4M
CO.PFC 100 F
DBOOST
CBOOT 0.1 F
DAUX.H
NAUX.H 3T
NS 4T
COUT1 820 F/25V
LOUT 47nH
COUT2 820 F/25V +
RPFC3 249k
RCS1 0.2
RPFC2 78.7k
RSN CSN 16 2.2nF Q2
VOUT 19V
-
IC2: FAN7382
RCZD 47.5k 1 VCC 2 HIN 3 LIN RRT 3.7k CRT 1nF 4 COM VB 8 HO 7 VS 6 LO 5 DR1 NP 48T RG2 10 Q4 RLPC1 220k 3 GATE 5 VDD RES1 47.5k
IC1: FAN6920
CCOMP 470nF 1 RANGE 2 COMP HV 16 NC 15 ZCD 14 VIN 13 RT 12 FB 11 DET 10 GND 9 CFB 47nF NTC
D1 CINF1 330nF RCIN1 RCIN2 1.5M 1.5M D2
FAN6204
8 LPC AGND 126 RES 7 GND 4
3 INV 4 CSPFC 5 CSPWM 6 OPFC 7 VDD RVIN1 9.4M 8 OPWM
DR2
Q3 RG3 10 RCS2 0.27
RLPC1 8.8k
RES2 12k
IC3: FAN6204
RBIAS 330 RO1 66.5k IC4: PC817 NA 3T RF 1.2k CF 10nF
VAC
RVIN2 154k DAUX CVIN 2.2 F CDD 68 F RDET1 47.5k RDET2 8.25k
IC5: KA431 RO2 10k
Figure 21.
Final Schematic of Design Example
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
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AN-6920
APPLICATION NOTE
Table 3. Bill of Materials Part
RPFC1 R PFC2 R PFC3 RVIN1 RVIN2 RZCD RHV RRT RCS1 RCS2 RG1 RG2 RG3 RDET1 RDET2 RCIN1 RCIN2 RLPC1 RLPC2 RRES1 RRES2 RSN RO1 RO2 RBIAS RF CINF1 CINF2 CVIN CCOMP CDD CRT
Value
Resistor 9.4M 78.7k 249k 9.4M 154k 47.5k 150k 3.7k 0.2 0.27 10 10 10 47.5k 8.25k 1.5M 1.5M 220k 8.8k 47.5k 12k 16 66.5k 10k 330 1.2k Capacitor 330nF 470nF 2.2 F 470nF 68 F 1nF
Note
1/4W 1/8W 1/8W 1/4W 1/8W 1/4W 1W 1/8W 2W 2W 1/4W 1/4W 1/4W 1/4W 1/8W 1/4W 1/4W 1/8W 1/8W 1/8W 1/8W 1W 1/8W 1/8W 1/4W 1/8W XCAP
Part
CFB CO.PFC CSN CF COUT1 COUT2 CBOOT D1 D2 DPFC DBOOST DAUX DAUX.H DR1 DR2 Q1 Q2 Q3 Q4 IC1 IC2 IC3 IC4 IC5 NTC LOUT
Value
47nF 100 F 2.2nF 10nF 820 F 820 F 0.1 F Diode S1J S1J ES3J ES1H RS1D RS1D ES1H ES1H MOSFET FCB11N60 FCB11N60 FCB11N60 FDB031N08 IC FAN6921MR FAN7382 FAN6204 PC817 KA431 Other TTC104 47nH
Note
450V
25V 25V
Ultra-Fast Diode Fast Diode Fast Diode Ultra-Fast Diode Ultra-Fast Diode
50V
Lab Note
Before modifying or soldering / desoldering the power supply, discharge the primary capacitors through the external bleeding resistor. Otherwise, the PWM IC may be damaged by external high-voltage. This device is sensitive to electrostatic discharge (ESD). To improve the production yield, the production line should be ESD protected as required by ANSI ESD S1.1, ESD S1.4, ESD S7.1, ESD STM 12.1, and EOS/ESD S6.1 standards.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
www.fairchildsemi.com 15
AN-6920
APPLICATION NOTE
Printed Circuit Board Layout
Printed circuit board layout and design are very important for switching power supplies where the voltage and current change with high dv/dt and di/dt. Good PCB layout minimizes EMI and prevents the power supply from being disrupted during surge/ESD tests. External driver circuit can shorten MOSFET gate discharge current loop and improve the surge/ESD capability. Current loop constructed by the PFC choke, PFC diode, PFC MOSFET, CBulk, and C2 should be as short as possible.
PWM Stage
IC Side
Reference ground of the INV, COMP, CSPFC, CSPWM, and VDD pins are connected together and then connected to the IC's GND directly. Reference ground of ZCD, VIN, RT, FB, and DET pins are connected to IC's GND directly. Small capacitors around the IC should be connected to the IC directly. The trace line of CSPWM, OPFC, and OPWM should not be paralleled and should be close to each other to avoid introducing noise. Connections of IC's GND, RCS.PWM ground, HV IC's GND, and auxiliary winding of PWM XFMR:
Approach
RCS.PWM should be connected to CBulk's ground directly. Keep it short and wide. Current loop constructed by the CBulk, XFMR, PWM MOSFET, clamp diode, and RCS.PWM should be as short as possible. Ground of photo-coupler should be connected to IC's GND. On the secondary side, current loop constructed by XFMR, Schottky, and output capacitor should be as short as possible. Connections of Y Capacitor:
Approach
Auxiliary winding's ground IC's GND RCS.PWM's ground (2 1 4) HV IC's GND RCS.PWM's ground (3 4)
Y CAP's primary ground
Approach Ground Loop:
C1's ground (10
9)
System Side
PFC Stage
Auxiliary winding of PFC choke is connected to IC's GND. RCS.PFC should be connected to C2's ground singly (6 & 8).
7&2 3 4 4 5 6 8 8 & 10
1 8 9
4
Figure 22. Layout Considerations
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011 www.fairchildsemi.com 16
AN-6920
APPLICATION NOTE
Related Documents
FAN6920MR -- Highly Integrated Quasi-Resonant Current PWM Controller FAN6204MY -- Synchronous Rectification Controller for Flyback and Forward Freewheeling Rectification FAN7382 -- High- and Low-Side Gate Driver AN-6076 -- Design and Application Guide of Bootstrap Circuit for High-Voltage Gate -Driver IC
DISCLAIMER FAIRCHILD SEMICONDUCTOR RESERVES THE RIGHT TO MAKE CHANGES WITHOUT FURTHER NOTICE TO ANY PRODUCTS HEREIN TO IMPROVE RELIABILITY, FUNCTION, OR DESIGN. FAIRCHILD DOES NOT ASSUME ANY LIABILITY ARISING OUT OF THE APPLICATION OR USE OF ANY PRODUCT OR CIRCUIT DESCRIBED HEREIN; NEITHER DOES IT CONVEY ANY LICENSE UNDER ITS PATENT RIGHTS, NOR THE RIGHTS OF OTHERS. LIFE SUPPORT POLICY FAIRCHILD'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF FAIRCHILD SEMICONDUCTOR CORPORATION. As used herein: 1. Life support devices or systems are devices or systems which, (a) are intended for surgical implant into the body, or (b) support or sustain life, or (c) whose failure to perform when properly used in accordance with instructions for use provided in the labeling, can be reasonably expected to result in significant injury to the user. 2. A critical component is any component of a life support device or system whose failure to perform can be reasonably expected to cause the failure of the life support device or system, or to affect its safety or effectiveness.
(c) 2010 Fairchild Semiconductor Corporation Rev. 1.0.0 * March 10, 2011
www.fairchildsemi.com 17


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