AN-5844 - Fairchild Semiconductor

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AN-5844
Green Mode Fairchild Buck Switch FSL306LR
Introduction
This application note describes a detailed design method
and procedure for a buck offline converter. Design
consideration and formula are presented. The FSL306LR is
designed for non-isolated topology; such as buck, buckboost converter, and non-isolated flyback converter. This
device is an integrated current-mode Pulse Width
Modulation (PWM) controller and SenseFET. The
integrated PWM controller includes: 10 V regulator for no
external bias circuit, Under-Voltage Lockout (UVLO),
Leading-Edge Blanking (LEB), an optimized gate turnon / turn-off driver, EMI attenuator, Thermal Shutdown
(TSD), temperature-compensated precision current sources
for optimized loop compensation, and fault-protection
circuitry. Protections include: Overload Protection (OLP),
Figure 1.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Over-Voltage Protection (OVP), Feedback Open Loop
Protection (FB_OLP), and Abnormal Over-Current
Protection (AOCP) designed for the case of output short.
FSL306LR offers stable soft-start performance during
startup. The internal high-voltage startup switch and the
Burst-Mode operation for extremely low operating current
reduce the power loss in Standby Mode. As the result of
those built-in circuitry, this device is able to achieve power
loss less than 25 mW with external bias and 120 mW
without external bias at 230 VAC.
When compared to a linear power supply, the FSL306LR
reduces total size and weight; while increasing efficiency,
productivity, and system reliability. Application of the
FSL306LR is suitable for cost-effective platform designs.
Typical Application
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AN-5844
APPLICATION NOTE
Device Block Description
Startup Circuit and Soft-Start
Feedback Control
During startup, an internal high-voltage current source (ICH)
of the high-voltage regulator supplies the internal bias
current (ISTART) and charges the external capacitor (CA)
connected to the VCC pin, as illustrated in Figure 2. This
internal high-voltage current source is enabled until VCC
reaches 10 V. During steady-state operation, this internal
high-voltage regulator (HVREG) maintains the VCC with
10 V and provides operating current (IOP) for all internal
circuits. Therefore, FSL306LR needs no external bias
circuit. The high-voltage regulator is disabled when the
external bias is higher than 10 V.
FSL306LR employs current-mode control with a
transconductance amplifier for feedback control, as shown
in Figure 4. Two resistors are typically used on the VFB pin
to sense output voltage. An external compensation circuit is
recommended on the VCOMP pin to control output voltage. A
built-in transconductance amplifier accurately controls
output voltage without external components, such as Zener
diode and transistor.
Figure 4.
Figure 2.
Transconductance Amplifier (gm Amplifier)
The output of the transconductance amplifier sources and
sinks the current, respectively, to and from the
compensation circuit connected on the VCOMP pin (see
Figure 5). This compensated VCOMP pin voltage controls the
switching duty cycle by comparing with the voltage across
the RSENSE. When the feedback pin voltage exceeds the
internal reference voltage (VREF) of 2.5 V; the
transconductance amplifier sinks the current from the
compensation circuit, VCOMP is pulled down, and the duty
cycle is reduced. This typically occurs when input voltage
is increased or output load is decreased. A two-pole and
one-zero compensation network is recommended for
optimal output voltage control and AC dynamics.
Startup Block
The internal soft-start circuit slowly increases the SenseFET
current after it starts. The typical soft-start time is 10 ms, as
shown in Figure 3, where progressive increments of the
SenseFET current are allowed during startup. The pulse
width to the power switching device is progressively
increased to establish the correct working conditions for
transformers, inductors, and capacitors. The voltage on the
output capacitors is gradually increased to smoothly
establish the required output voltage. Soft-start also helps
prevent transformer saturation and reduces the stress on the
secondary diode.
Figure 3.
Pulse-Width Modulation (PWM) Circuit
Soft-Start Function
Figure 5.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Characteristics of gm Amplifier
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AN-5844
APPLICATION NOTE
Pulse-by-pulse Current Limit
Because current-mode control is employed, the peak current
flowing through the SenseFET is limited by the inverting
input of PWM comparator, as shown in Figure 4. Assuming
that 50 µA current source flows only through the internal
resistors (3R + R = 46 kΩ), the cathode voltage of diode D2
is about 2.4 V. Since D1 is blocked when VCOMP exceeds
2.4 V, the maximum voltage of the cathode of D2 is
clamped at this voltage. Therefore, the peak value of the
current of the SenseFET is limited.
Overload Protection (OLP)
Overload is defined as the load current exceeding a set level
due to an unexpected event. In this situation, the protection
circuit should be activated to protect the SMPS. However,
even when the SMPS operates normally, the OLP circuit
can be enabled during the load transition or startup. To
avoid this undesired operation, an internal fixed-delay
(40 ms) circuit determines whether it is a transient situation
or a true overload situation (see Figure 6). The currentmode feedback path limits the maximum power current and,
when the output consumes more than this maximum power,
the output voltage (VO) decreases below its rated voltage.
This reduces feedback pin voltage, which increases the
output current of the internal transconductance amplifier.
Eventually VCOMP is increased. When VCOMP reaches 3 V,
the fixed OLP delay (40 ms) is activated. After this delay,
switching operation is terminated, as shown in Figure 7.
Leading-Edge Blanking (LEB)
At the instant the internal SenseFET is turned on; primaryside capacitance and secondary-side rectifier diode reverse
recovery of flyback application, the freewheeling diode
reverse recovery, and other parasitic capacitance of the
buck application typically cause a high-current spike
through the SenseFET. Excessive voltage across the sensing
resistor (RSENSE) leads to incorrect feedback operation in the
current-mode control. To counter this effect, the FSL306LR
has a Leading-Edge Blanking (LEB) circuit (see Figure 4).
This circuit inhibits the PWM comparator for a short time
(tLEB) after the SenseFET is turned on.
Protection Functions
The protective functions include Overload Protection
(OLP), Over-Voltage Protection (OVP), Under-Voltage
Lockout (UVLO), Feedback Open-Loop Protection
(FB_OLP), Abnormal Over-Current Protection (AOCP),
and Thermal Shutdown (TSD). All of the protections
operate in Auto-Restart Mode. Since these protection
circuits are fully integrated in the IC without external
components, reliability is improved without increasing cost
and PCB space. If a fault condition occurs, switching is
terminated and the SenseFET remains off. At the same
time, internal protection timing control is activated to
decrease power consumption and stress on passive and
active components during auto restart. When internal
protection timing control is activated, VCC is regulated with
10 V through the internal high-voltage regulator until
switching is terminated. This internal protection timing
control continues until restart time (650 ms) is counted.
After counting to 650 ms, the internal high-voltage
regulator is disabled and VCC is decreased. When VCC
reaches the UVLO stop voltage VSTOP (7 V), the protection
is reset and the internal high-voltage current source charges
the VCC capacitor via the drain pin. When VCC reaches the
UVLO start voltage, VSTART (8 V), normal operation
resumes. In this manner, auto restart can alternately enable
and disable the switching of the power SenseFET until the
fault condition is eliminated.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Figure 6.
Overload Protection Internal Circuit
Figure 7. Overload Protection (OLP) Waveform
Abnormal Over-Current Protection (AOCP)
When the output is shorted at high input voltage, much
higher drain current peak than the pulse-by-pulse current
limit can flow through the SenseFET because turn-on time
is the same as the minimum turn-on time of FSL306LR.
The OLP is occasionally not enough to protect the
FSL306LR in that abnormal case, because severe current
stress is imposed on the SenseFET until OLP is triggered.
FSL306LR includes the internal Abnormal Over-Current
Protection (AOCP) circuit shown in Figure 8. The voltage
across the RSENSE is compared with the AOCP level (VAOCP)
after tLEB and, if the voltage across the RSENSE is greater than
the AOCP level, the set signal is triggered after four
switching times by an internal 2-bit counter, shutting down
the SMPS, as shown in Figure 9. This LEB time can inhibit
mis-triggering due to the leading-edge spike.
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AN-5844
APPLICATION NOTE
activation during startup, this function is disabled during
soft-start time.
Figure 8.
AOCP Circuit
Figure 11.
Feedback Open-loop Protection Circuit
Thermal Shutdown (TSD)
The SenseFET and control IC integrated on the same
package makes it easier to detect the temperature of the
SenseFET. When the junction temperature exceeds 135°C,
thermal shutdown is activated. FSL306LR is restarted after
the temperature decreases to 60°C.
Burst Operation
Figure 9.
Abnormal OCP Waveform
To minimize power dissipation in Standby Mode,
FSL306LR enters Burst Mode. As the load decreases, the
comp voltage (VCOMP) decreases. As shown in Figure 12,
the device automatically enters Burst Mode when the
feedback voltage drops below VBURL. At this point,
switching stops and the output voltages start to drop at a
rate dependent on the standby current load. This causes
VCOMP to rise. Once it passes VBURH, switching resumes.
VCOMP then falls and the process repeats. Burst Mode
alternately enables and disables switching of the SenseFET
and reduces switching loss in Standby Mode.
Over-Voltage Protection (OVP)
If any feedback loop components fail due to a soldering
defect, VCOMP climbs up in manner similar to the overload
situation, forcing the maximum current to be supplied to the
SMPS until OLP is triggered. In this case, excessive energy
is provided to the output and the output voltage may exceed
the rated voltage before OLP is activated. To prevent this
situation, an Over-Voltage Protection (OVP) circuit is
employed. In general, output voltage can be monitored
through VCC and, when VCC exceeds 24.5 V, OVP is
triggered, resulting in switching termination. To avoid
undesired activation of OVP during normal operation, VCC
should be designed below 24.5 V (see Figure 10).
Figure 10.
Over Voltage Protection Circuit
Feedback Open-Loop Protection (FB_OLP)
In the event of a feedback loop failure, especially a shorted
lower-side resistor of the feedback pin; not only does VCOMP
rise in a similar manner to the overload situation, but VFB
starts to drop to IC ground level. Although OLP and OVP
also can protect the SMPS in this situation, FB_OLP can
reduce stress on the SenseFET. If there is no FB_OLP, the
output voltage is much higher than the rated voltage before
OLP or OVP trigger. When VFB drops below 0.5 V,
FB_OLP is activated, switching off. To avoid undesired
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Figure 12.
Burst Mode Operation
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AN-5844
APPLICATION NOTE
Green Mode Operation
Detail Design Procedure
As output load condition is reduced, the switching loss
becomes the largest power loss factor. FSL306LR
uses the VCOMP pin voltage to monitor output load
condition. As output load decreases, VCOMP decreases
and switching frequency declines, as shown in Figure
13. Once VCOMP falls to 0.8 V, the switching
frequency varies between 21 kHz and 23 kHz before
Burst Mode operation. At Burst Mode operation,
random frequency fluctuation still functions.
System Specifications
 Line voltage range (VAC.min and VAC.max): Standard
worldwide input line voltage ranges are 85-264 VAC for
universal input, 195-264 VAC for European input range
 Line frequency (fL): 50 or 60 Hz
 Output voltage (VO)
 Estimated efficiency: η
Determining AC Input Rectification Type
The typical AC-DC SMPS solution rectifies AC input with
full-wave rectification. However, half-wave rectification
can be selected for under 3 W designs with buck and buckboost topology to reduce BOM cost. For designs > 3 W,
full-wave rectification is typically selected to reduce the
size of the input capacitor with small ripple voltage on it.
Random Frequency
modulation range
Switching frequency
53 kHz
47 kHz
Determining DC Link Capacitor (CDC) and DC
Link Voltage Range
23 kHz
21 kHz
VBURL VBURH 0.8V
Figure 13.
1.9V
The DC link capacitor is selected by rectification type and
input voltage range. For full-wave rectification, it is typical
to select the DC link capacitor as 2-3 µF per watt of input
power for universal input range (85-264 VAC) and 1 µF per
watt of input power for European input range (195264 VAC). DC link capacitance of half-wave rectification is
twice full-wave rectification, 4-6 µF per watt of input
power for universal input range (85-264 VAC) and 2 µF per
watt of input power for European input range (195264 VAC). Figure 14 shows the input voltage waveform of
full-wave and half-wave rectification, respectively.
VCOMP
Green Mode Operation
Adjusting Current Limit
As shown in Figure 14, a combined 46 kΩ internal
resistance (3R + R) is connected to the inverting lead on the
PWM comparator. An external resistance of RX on the
ILIMIT pin forms a parallel resistance with the 46 kΩ when
the internal diodes are biased by the main current source of
50 µA. For example, FSL306LR has a typical SenseFET
peak current limit of 0.45 A. Current limit can be adjusted
to 0.3 A by inserting RX between the ILIMIT pin and the
ground. The value of the RX can be estimated by the
following equation:
0.45 A: 0.3 A = (46 kΩ + RX): RX
(1)
Figure 15.
Figure 14.
Bridge Rectifier and Bulk Capacitor
Voltage Waveform
With selecting AC rectification, the link voltages are
obtained as:
Current Limit Adjustment
2
VDC. min  2V AC. min -
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
2 PO  ( 1/ 2-DCH )
η  C DC  f L
(2)
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AN-5844
APPLICATION NOTE
2
VDC.min  2V AC. min -
2 PO  ( 1-DCH )
η  C DC  f L
VDC. max  2V AC. max
(3)
Reverse recovery time is also an important factor to choose
the freewheeling diode. The smaller the reverse-recovery
time, the lower the switching loss.
(4)
Table 2. Quick Selection Guide for Freewheeling
Diode for Universal Input Range
where DCH is the DC link capacitor charging duty ratio
defined as shown in Figure 15, which is typically about
0.15 for full-wave rectification and about 0.3 for halfwave rectification. Equations (2) and (3) are minimum
link voltage of full-wave and half-wave rectification,
respectively, and Equation (4) is maximum link voltage.
Determining Operation Mode
Part #
VRRM
IF(AV)
trr
Package
Type
ES1J
600 V
1A
35 ns
DO-204AC
UF4005
600 V
1A
75 ns
DO-204AL
EGP10J
600 V
1A
75 ns
DO-204AL
EGP20J
600 V
2A
75 ns
DO-204AC
ES3J
600 V
3A
45 ns
DO-214AB
EGP30J
600 V
3A
75 ns
DO201-AD
Before selecting the inductor, freewheeling diode, and
output capacitor; the operating mode should be determined:
continuous conduction mode (CCM) or discontinuous
conduction mode (DCM). DCM not only has smaller
inductor size and lower freewheeling diode cost, but also
higher efficiency due to lower switching loss than CCM in
low-power buck applications. But DCM requires a higher
current limit than CCM and increases output voltage ripple.
Therefore, compromised selection is needed according to
the system requirements.
The forward voltage drop (VF) of the selected freewheeling
diode is an important factor for other equations. Especially
when the equations are related to output voltage, the output
voltage must include forward-voltage drop for more exact
calculation, as shown in Equation (7):
Table 1. Brief Comparison of CCM and DCM
Selecting Output Inductor
CCM
DCM
Larger
Smaller
Efficiency (Switching Loss)
Lower
(Larger)
Higher
(Smaller)
Output Voltage Ripple
Smaller
Larger
Lower
Higher
Output Inductor Size
Current Limit
VOUT  VO  VF
The inductance operating with boundary conduction mode
(BCM) at minimum input DC voltage is represented in
Equation (8). Smaller inductance than LBoundary can be
selected for DCM operation and larger for CCM operation.
LBoundary
Higher current limit means that, potentially, a highercurrent-rated device may be needed to deliver maximum
output power.
Although a transformer for buck topology doesn’t exist,
other leakage inductance and capacitance creates a voltage
spike on the freewheeling diode when the SenseFET is
turned off. Since this voltage spike must be considered,
typically 30% voltage derating of maximum DC input is
required, as described Equation (5).
(8)
Since FSL306LR has green mode function, the practical
operating switching frequency at full load condition can be
smaller than fS.HIGH. By two simultaneous equations
representing relation between switching frequency and peak
drain current, the operating switching frequency is
calculated. Each equation, (9) and (10), includes two
simultaneous equations. These are for CCM operation and
DCM operation, respectively:
(5)
The diode is one of the components generating high
temperature in the SMPS. To decide the current rating of
freewheeling diode, consider thermal performance of 150%
design margin of the output full load current, as
recommended as Equation (6):
I F(AV)  2.5  I O

V 
2
η  1- O   VOUT
V
  DC.min 
2  PO  f S .HIGH
where VOUT is the sum of target output voltage (VO) and
freewheeling diode forward-voltage drop (VF), as
determined by Equation (7), and fS.HIGH is maximum
switching frequency in Green Mode operation, as
illustrated on Figure 13.
Selecting Freewheeling Diode
VRRM  1.3  VDC,max
(7)
f S   (  I ds. peak  0.8V )  22kHz
I ds. peak  
(6)
VDC . min VDC . min  VO VOUT / VDC . min

VOUT
2 Lf S
(9)
where VRRM is peak repetitive reverse voltage and IF(AV)
denotes average rectified forward current.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
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AN-5844
APPLICATION NOTE
f S   (  I ds. peak  0.8V )  22kHz
I ds. peak 
2VDC . min  VO 
Lf S
optimized through connecting one resistor between the
ILIMIT pin and the IC ground pin.
(10)
I ds.peak 
where:


f S .HIGH  f S .LOW
VGREEN .HIGH  VGREEN .LOW
PO

I LIMIT
I ds.peak
(11)
V DC. min
2.4V
 VO
V
 SL  t CLD  DC . min
 t CLD
L
Normally, the buck converter designed for CCM at the
minimum input voltage and full-load condition can enter
DCM as the input voltage increases. The maximum input
voltage guaranteeing CCM operation in full-load condition
is obtained as:
VO
2  PO  f S  L
1
2
η  VOUT
I LIMIT.adj  I LIMIT 
(12)
IL 
C O .recommend 
Ripple  (
I
I ds. peak
RX
 I ds . peak
46 kΩ  R X
(15)
5
8  ESR  f S
1
8C O f S
(16)
 ESR)  ΔI  ESR  ΔI
where CO.recommend is the recommended
capacitance, typically is larger than 100 µF.
(17)
output
Designing the Feedback Network
IL
The feedback network is comprised of one diode for sensing
output voltage, one capacitor to maintain sensed output
voltage during the SenseFET turn-on period, and two
resistors to determine output voltage, as shown in Figure 17.
I
IL 
2
Figure 16.
(14)
The maximum output voltage ripple is determined by the
output capacitance and the equivalent series resistance
(ESR) of the output capacitor. Since the output voltage
ripple by capacitance is negligibly small when over than
100 µF is selected, the output ripple is mostly determined
by the ESR of output capacitor:
I
2
P
I L  OUT
VOUT

 PO

Selecting the Output Capacitor
I ds. peak
IL
(13)
where ILIMIT is pulse-by-pulse current limit of the FPS,
typically it is 450 mA. For better noise immunity at ILIMIT
pin, a small capacitor (1 nF~100 nF) is recommended.
where, fS is the operating switching frequency
considering green mode function.
I

V
21  O
VDC.min
 
ηLf S

VOUT

Adjusting Pulse-by-pulse Current Limit
The resistor is determined by Equation (15) and this
adjusted pulse-by-pulse current limit must be higher than
the maximum drain current peak defined by Equations (13)
and (14). This function is disabled by letting ILIMIT pin be
open-circuited, such as:
where ILIMIT is the peak current limit; SL is the test slope
(di/dt) of ILIMIT; and tCLD is the current limit delay.
Typically α, ILIMIT, SL, and tCLD are 25.5 kHz/V, 450 mA,
300 mA/µs, and 100 ns, respectively.
VDC .CCM 
PO
ηVOUT

VO
1 
VDC. min

2 Lf S
MOSFET Drain Current
Maximum drain current peak (Ids.peak) at full-load condition
is decided by the selected output inductor. If the maximum
drain current peak is larger than the pulse-by-pulse current
limit, larger output inductance or higher current rating of
the device is needed. Equations (13) and (14) show the
maximum drain current peak of CCM and DCM operation,
respectively. If this maximum drain current peak is smaller
than pulse-by-pulse current limit, the output inductor size is
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Figure 17.
Feedback Network
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AN-5844
APPLICATION NOTE
The IC ground is pulsed between input DC voltage and the
ground of output voltage, respectively, when the SenseFET is
turned on and freewheeling diode is conducted. Output
voltage is sensed through a feedback diode (DFB) during the
conduction time of the freewheeling diode. This feedback
diode is typically selected to remove difference of forward
voltage drop between feedback diode and freewheeling
diode. As this voltage difference is increased, the output
voltage regulation can degrade.
To express the small signal AC transfer functions, the
small-signal variations of compensation voltage (νCOMP) and
output voltage (νO) are introduced as and vˆCOMP and vˆO . For
Since the output voltage is sensed only during freewheeling
diode conduction time, a feedback capacitor helps maintain
sensed output voltage, especially for Burst Mode operation.
A value larger than 1 µF is typically recommended. Larger
feedback capacitance results in better output voltage
regulation performance.
where K is specified in Equation (19) and RL is the load
resistance of the output port, defined as VO/IO. The pole
and zero of Equation (20) are expressed as:
CCM operation, the control-to-output function of the buck
converter applying current-mode control is given by:
Gvc ( s) 
R A  RB
RB
vˆcomp
 Gvc 0
1  s / z
1 s / p
(20)
Gvc 0  K  RL
z 
Two feedback resistors determine output voltage, as in
Equation (18), and, by reducing the voltage difference
between sensed output voltage (VO) and feedback capacitor
voltage (VFB*), more accurate output control is possible:
VFB *  VO  K REG  I O  2.5V 
vˆo
1
1
& p 
ESR  CO
( ESR  RL )  CO
(21)
where ESR is equivalent series resistance of the output
capacitor and CO is the output capacitance.
For DCM operation, the control-to-output transfer function
of the buck converter adopting current-mode control is
given by:
(18)
where KREG is regulation factor regarding mismatched
voltage between output voltage (VO) and feedback
capacitor voltage (VFB*). It is typically 2 [V/A].
Determining Compensation Network
Because FSL306LR devices employ current-mode control
and transconductance amplifier (gm amp) internally,
compensation network can be simply implemented. As
illustrated on Figure 18, a two-pole and one-zero circuit can
secure enough phase margin and bandwidth.
Gvc ( s)  Gvc0 
1  s / z
1 s / p
Gvc 0  K  VO 
VDC / VO  1

2  VDC / VO  3
(22)
2   L  f s

V 
PO 1  O 
 VDC 
(23)
z 
1
ESR  CO
p 
2  3  VO / VDC
CO 2  ESR  RL  (3  ESR  RL )  VO / VDC 
where η is the efficiency of the converter and VDC is the
input DC voltage.
Figure 19 shows the variation of a CCM converter control-tooutput transfer function for various input voltages. DC gain,
pole, and zero do not change for different input voltages.
Figure 18.
Compensation Network
The current control factor of FSL306LR, K is defined as:
K
I ds . peak
VCOMP

I LIMIT
VCOMP .sat
(19)
where Ids.peak is the peak drain current and VCOMP denotes
the compensation voltage, respectively, for a given fullload condition, ILIMIT is the current limit of the
FSL306LR and VCOMP.sat is the compensation saturation
voltage, which is typically 2.4 V.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Figure 19.
CCM Control-to-Output Transfer Function
Variation for Different Input Voltages
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AN-5844
APPLICATION NOTE
Figure 20 shows the variation of a DCM converter controlto-output transfer function for various input voltages. It has
the lowest DC gain at low-line input condition.
Figure 22.
Compensation Network Transfer Function
Design Tips for Compensation Network
a) To secure enough phase margin compensation, the
second pole (fpc2) and zero (fzc) should be separated as
much as possible. Large CF1 and small CF2 are
recommended.
DCM Control-to-Output Transfer
Function Variation for Different Input Voltage
Figure 20.
Figure 21 shows the variation of the converter control-tooutput transfer function for variation in the output load
current. Both CCM and DCM operation have similar
variation, where gain is increased and pole is decreased as
output load is decreased.
b) For wide bandwidth of transfer function, compensation
zero (fzc) should be as small as possible.
c)
The recommended minimum capacitance of CF2 is
100~470 pF to avoid noise.
Based on design tips; typically 330 pF, 220 nF, and 220 kΩ
are recommended for CF2, CF1, and RF, respectively.
Selecting Dummy Load Resistor
Since the feedback capacitor voltage sensed from output
voltage is not accurately matched with output voltage, the
output voltage regulation can be poor at light-load condition.
The dummy load resistor increases output load and this small
load helps output voltage regulation at light-load condition. A
5~20 kΩ resistor is typically selected.
Figure 21.
Control-to-Output Transfer Function
Variation for Different Output Loads
The transfer function of the compensation network is
obtained as:
Gvc ( s) 
 pc1 
 pc 2
1  s /  zc
( s /  pc1 ) /(1  s /  pc 2 )
g m  RB
,
(C F 1  C F 2 )  ( R A  RB )
1

RF
 1
1 
1

 &  zc 

RF C F 1
 CF1 CF 2 
(24)
(25)
where RA and RB are defined in Figure 17 and RF, CF1
and CF2 are shown in Figure 18.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
www.fairchildsemi.com
9
AN-5844
APPLICATION NOTE
Design Example
Step 1-1. Define System Specification (AC Input Condition))
Minimum AC Input Voltage
VAC.min
85 VAC
Maximum AC Input Voltage
VAC.max
265 VAC
fL
60 Hz
AC_F
0
Line Frequency
Selection of AC Rectification Method (Full or Half)
→ Half-Wave Rectification
Step 1-2. Define System Specification (DC Output Condition)
Output Voltage
Vo
12 V
Output Full Load
Io
0.15 A
Output Power
Pout
1.800 W
Estimated Efficiency
η
80%
Target Input Power
Pin
2.250 W
Step 2. Determine DC Link Capacitor and DC Link Voltage Range
Input Capacitance
CDC
9.6 µF
Minimum DC Input Voltage
VDC.min
91.4 V
Maximum DC Input Voltage
VDC.max
374.8 V
Step 3. Select Freewheeling Diode
Minimum Voltage Rating of Output Diode
VRRM
487 V
Minimum Current Rating of Output Diode
IF(AV)
0.375 A
VF
1.00 V
Forward Voltage Drop of Output Diode
Output Voltage Including VD
Recommended Diode Part Name
VOUT
13.0 V
DIP Type
EGP10J
SMD Type
ES1H
Step 4. Determine Inductor and Check Maximum Drain Current Peak
Typical Current Limit
ILIMIT
0.450 A
Distribution of Current Limit
Dis_ILIM
12%
Test slope of Current Limit
SLLIMIT
300 mA/µs
tCLD
100 ns
Maximum Switching Frequency of Green Mode
fS.HIGH
50 kHz
Distribution of Switching Frequency
Dis_fs
10%
LBoundary
0.644 mH
L
0.68 mH
Dis_L
10%
Current Limit Delay
Inductance with BCM with fs.max at VDC.min
Selected Inductance
Distribution of Inductance
Switching Frequency Considering Green Mode
Maximum Input Voltage for CCM
Maximum Drain Current Peak at VDC.max
fS
48.2 kHz
VDC.CCM
102 V
Ids.peak
0.409 A
DCM Operation
Step 5. Determine Adjusted Current Limit using Current Limit Adjustable Resistor
Adjustable Current Limit Resistor
Rpeak
NC kΩ
Adjusted Typical Current Limit
ILIM.adj
0.473 A
Adjusted Maximum Current Limit
ILIM.adj.max
Adjusted Minimum Current Limit
ILIM.adj.min
0.533 A
0.414 A
> 0.409 A
→ OK
Continued on the following page…
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
www.fairchildsemi.com
10
AN-5844
APPLICATION NOTE
Step 6. Check RMS Value of Drain Current
Operation Mode at VDC.min
CCM
Drain Current Peak at VDC.min
Ids.pk
0.343 A
Duty Ratio at VDC.min
Dmax
0.142
Duty Ratio at VDC.max
Dmin
0.033
Maximum Drain RMS Current at VDC.min
Ids.rms
0.075 A
Step 7. Determine Output Ripple by Selecting Output Capacitor
Recommended Output Capacitor
130 µF
Output Capacitance
COUT
100 µF
ESR of Output Capacitor
ESR
0.1 Ω
Maximum Inductor Current Ripple
∆iL.max
0.364 A
Output Ripple by Capacitor ESR
36.398 mV
Step 8. Design Feedback Compensation Circuit
DC Gain of Power Stage
Gvc(0)
15.0 dB
fz
15915.5 Hz
Pole of Power Stage
fp
19.9 Hz
Upper-Side Resistance on FB Pin
RA
20 kΩ
KREG
2.000 V/A
Zero of Power Stage
Regulation Factor by Mismatched VO and VFB
Lower-Side Resistance on FB Pin (Recommended)
5.102 kΩ
Lower-Side Resistance on FB Pin (Selected)
RB
5.1 kΩ
Compensation Resistance
RF
220 kΩ
Series Connected Capacitor with RF
CF1
220 nF
Parallel Connected Capacitor with RF
CF2
0.33 nF
First Pole of Compensation Circuit
fpc1
35.2 Hz
Zero of Compensation Circuit
fzc
3.3 Hz
Second Pole of Compensation Circuit
fpc2
2195.5 Hz
Bandwidth of Loop Gain
BW
2250.0 Hz
Phase Margin of Loop Gain
PM
52.8
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
→ OK
www.fairchildsemi.com
11
AN-5844
APPLICATION NOTE
Typical Application Circuit with Single Output
Application
Output Power
Input Voltage Range
Output Voltage/Maximum Current
Home Appliance Auxiliary Power
1.8 W
85-265 VAC
12 V / 0.15 A
Description of Schematic




Half-wave rectification is selected for AC line rectification.
For better EMI performance, one more AC diode (DAC2) and Pi-type AC filter (CDC1, CDC2, Lfilter1, Lfilter2, and Rfilter)
are selected.
For small standby power consumption, VCC is externally supplied from output voltage through DVCC and RVCC.
CLIMIT is used on the ILIMIT pin for better noise immunity.
Figure 23.
Schematic
Table 3. Bill of Materials for Evaluation Board
Part #
Value
Note
Part #
Value
IC
IC
Note
Capacitor
FSL306LRN
Fairchild Buck Switch
Resistor
CDC1
4.7 µF
400 V Electrolytic Capacitor
CDC2
4.7 µF
400 V Electrolytic Capacitor
Rfilter
3.3 kΩ
5% 0805 SMD
COUT
100 µF
50 V Electrolytic Capacitor
RVcc
10 R
5% 0805 SMD
CFB
2.2 µF
0805 SMD
RA
20 kΩ
1% 0805 SMD
CVCC
1 µF
0805 SMD
RB
5.2 kΩ
1% 0805 SMD
CLIMIT
1 µF
0805 SMD
RF
220 kΩ
5% 0805 SMD
CF1
220 nF
0805 SMD
RDummy
20 kΩ
5% 0805 SMD
CF2
330 pF
Inductor
0805 SMD
Diode
Lfilter1
1 mH
Axial Type
DAC1
1N4007
Fairchild General Rectifier
Lfilter2
680 µH
Axial Type
DAC2
1N4007
Fairchild General Rectifier
L
680 µH
MF0809-681K (3L Corp.)
Fuse
F1
10 Ω / 2 W
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Fusible Resistor
DF
UF4005
Fairchild Ultra-Fast Diode
DFB
UF4005
Fairchild Ultra-Fast Diode
DVcc
1N4148
Fairchild Signal Diode
www.fairchildsemi.com
12
AN-5844
APPLICATION NOTE
Experimental Results
Table 4. No-Load Input Wattage, Full-Load Efficiency, IC Temperature, Experimental Result
Input Voltage
Input Wattage, Including Dummy Resistor Loss
(No Load)
Efficiency
(Full Load)
IC Temperature
(Full Load)
85 V / 60 Hz
0.022 W
78.53%
37°C
110 V / 60 Hz
0.022 W
80.21%
36°C
230 V / 60 Hz
0.026 W
80.21%
37°C
265 V / 60 Hz
0.032 W
79.33%
38°C
Experimental Waveforms
CH3:VOUT [2V/div]
CH3:VOUT [2V/div]
CH1:VCC [5V/div]
CH1:VCC [5V/div]
CH2:VDS [200V/div]
CH2:
[200V/div]
Figure 24.
Figure 25.
Normal Operation at Input Voltage 85 VAC
(CH1: VCC, CH2: VDS, CH3: VOUT)
Normal Operation at Input Voltage 265 VAC
(CH1: VCC, CH2: VDS, CH3: VOUT)
CH3:VOUT [2V/div]
CH3:VOUT [2V/div]
CH1:VCC [5V/div]
CH1:VCC [5V/div]
CH2:VDS [200V/div]
CH2:VDS [200V/div]
Figure 27. Burst Operation at Input Voltage 265 VAC
and No Load (CH1: VCC, CH2: VDS, CH3: VOUT)
Figure 26. Burst Operation at Input Voltage 85 VAC
and No Load (CH1: VCC, CH2: VDS, CH3: VOUT)
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
www.fairchildsemi.com
13
AN-5844
APPLICATION NOTE
Conduction EMI Performance
Att
dBµV
1
100
10
RBW
MT
PREAMP
dB
9 kHz
15 ms
OFF
MHz
Marker
1 [T1 ]
47.39 dBµV
274.000000000 kHz
10
MHz
90
1 PK
MAXH
2 AV
MAXH
80
TDF
70
EN55022Q
60
PRN
EN55022A
1
50
6DB
40
30
20
10
0
150
Comment:
Date:
kHz
30
2-230N
14.DEC.2012
15:56:05
Figure 28.
110 VAC with Full Load Condition
Att
dBµV
MHz
1
100
10
RBW
MT
PREAMP
dB
MHz
9 kHz
15 ms
OFF
Marker
1 [T1 ]
45.72 dBµV
274.000000000 kHz
10
MHz
90
1 PK
MAXH
2 AV
MAXH
80
TDF
70
EN55022Q
60
PRN
EN55022A
50
1
6DB
40
30
20
10
0
150
Comment:
Date:
kHz
30
2-230N
14.DEC.2012
15:53:37
Figure 29.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
MHz
230 VAC with Full Load Condition
www.fairchildsemi.com
14
AN-5844
APPLICATION NOTE
Typical Application Circuit with Multi-Output
Application
Output Power
Input Voltage Range
Output Voltage / Maximum Current
Home Appliance Auxiliary Power
2.05 W
85-300 VAC
12 V / 0.15 A and 5 V / 0.05 A
Description of Schematic





Half-wave rectification is selected for AC line rectification.
For better EMI performance, one more AC diode (D2) and Pi-type AC filter (C1, C2, L1, L2, and R1) are selected.
For small standby power consumption, VCC is externally supplied from output voltage through D5 and R2.
C7 is used on the ILIMIT pin for better noise immunity.
Since there is minimum load by 5 V positive voltage regulator, a dummy resistor is not needed.
Figure 30.
Schematic
Table 5. Bill of Materials for Evaluation Board
Part #
Value
Note
Part#
Value
IC
Note
Capacitor
U1
FSL306LRN
Fairchild Buck Switch
U2
KA78L05AI
Fairchild Voltage Regulator
C1
Resistor
4.7 µF
400 V Electrolytic Capacitor
C2
6.8 µF
400 V Electrolytic Capacitor
C3
100 µF
25 V Electrolytic Capacitor
R1
3.3 kΩ
5% 0805 SMD
C4
47 µF
25 V electrolytic Capacitor
R2
10R
5% 0805 SMD
C5
2.2 µF
0805 SMD
R3
20 kΩ
1% 0805 SMD
C6
1 µF
0805 SMD
R4
5.2 kΩ
1% 0805 SMD
C7
10 nF
0805 SMD
R5
NC
1% 0805 SMD
C8
220 nF
0805 SMD
R6
220 kΩ
5% 0805 SMD
C9
330 pF
R7
NC
5% 0805 SMD
0805 SMD
Diode
Inductor
Axial Type
D1
S1M
Fairchild General Rectifier
D2
S1M
Fairchild General Rectifier
L1
470 µH
L2
470 µH
Axial Type
D3
ES1J
Fairchild Super-Fast Diode
L3
680 µH
PKS0807-681K (3L Corp.)
D4
ES1J
Fairchild Super-Fast Diode
D5
1N4148
Fairchild Signal Diode
Fuse
F1
10 Ω / 1 W
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Fusible Resistor
www.fairchildsemi.com
15
AN-5844
APPLICATION NOTE
Experimental Results
Table 6. No-Load Input Wattage, Full-Load Efficiency, IC Temperature, Experimental Result
Input Voltage
Input Wattage (No Load)
Efficiency (Full Load)
IC Temperature (Full Load)
85 V / 60 Hz
0.043 W
65.76%
48°C
110 V / 60 Hz
0.044 W
67.12%
47°C
230 V / 60 Hz
0.050 W
66.07%
49°C
265 V / 60 Hz
0.054 W
65.04%
51°C
300 V / 60 Hz
0.067 W
63.87%
51°C
Experimental Waveforms
CH2:VCC [5V/div]
CH2:VCC [5V/div]
CH1:VDS [100V/div]
CH1:VDS [100V/div]
Figure 31.
Normal Operation at Input Voltage 85 VAC
(CH1: VDS, CH2: VCC)
Figure 32.
Normal Operation at Input Voltage 300 VAC
(CH1: VDS, CH2: VCC)
CH2:VCC [5V/div]
CH2:VCC [5V/div]
CH1:VDS [100V/div]
CH1:VDS [100V/div]
Figure 33.
Burst Operation at Input Voltage 85 VAC
and No Load (CH1: VDS, CH2: VCC)
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
Figure 34.
Burst Operation at Input Voltage 300 VAC
and No Load (CH1: VDS, CH2: VCC)
www.fairchildsemi.com
16
AN-5844
APPLICATION NOTE
Output Voltage Regulation, Experimental Results
Figure 35.
12 V Output Voltage Regulation
Figure 36.
5 V Output Voltage Regulation
Conduction EMI Performance
Att
dBµV
1
100
10
RBW
MT
PREAMP
dB
9 kHz
10 ms
OFF
MHz
10
MHz
90
1 PK
MAXH
2 AV
MAXH
80
TDF
70
EN55022Q
60
PRN
EN55022A
50
6DB
40
30
20
10
0
150
kHz
30
Att
dBµV
1
100
MHz
110 VAC with Full Load Condition
Figure 37.
10
RBW
MT
PREAMP
dB
MHz
9 kHz
10 ms
OFF
10
MHz
90
1 PK
MAXH
2 AV
MAXH
80
TDF
70
EN55022Q
60
PRN
EN55022A
50
6DB
40
30
20
10
0
150
kHz
30
Figure 38.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
MHz
230 VAC with Full Load Condition
www.fairchildsemi.com
17
AN-5844
APPLICATION NOTE
Appendix A — Equation Details
Equation 2: Minimum DC Input Voltage
The voltage ripple at the DC link capacitor can be calculated with the power delivered to converter system.
( 1-DCH )
1
2
2
for half-wave rectification.
C DC ( 2V AC.min  VDC.min )  Pin
2
fL
( 1/ 2-DCH )
1
2
2
for full-wave rectification.
C DC ( 2V AC.min  VDC.min )  Pin
2
fL
Therefore, the calculation methods for minimum DC input voltage are:
2
VDC,min  2V AC.min 2
VDC, min  2V AC.min -
2 PO  ( 1-DCH )
for half-wave rectification.
η  C DC  f L
2 PO  ( 1/ 2-DCH )
for full-wave rectification.
η  C DC  f L
Since DCH in the above equations is difficult to estimate exactly, calculating VDC.min through the below two simultaneous
equations is an alternative. Equation A below is the equation about the input voltage discharging waveform by input power
and equation B is about AC input voltage waveform. Through these simultaneous equations, a more exact minimum input
voltage can be calculated without the estimation of DCH.
Figure 39.
Full-Wave Rectification
Equation A:VDC . min  VAC. min 2 
Figure 40.
Half-Wave Rectification
PO
t AC_dis
η  C DC  VAC. min 2
1
AC_F)
2 fL
where, AC_F is “0” for half-wave rectification and “1” for full-wave rectification.
Equation B:VDC . min  VAC. min 2  cos 2πf L(t AC_dis 
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
www.fairchildsemi.com
18
AN-5844
APPLICATION NOTE
Equation 7: Inductance at Boundary Conduction Mode
To be operated in BCM, the average value of inductor current should be identical to the half of the ripple of inductor current,
as shown below.
IL 
I
I
2
IL 
I
I
2
IL
IL
Figure 41.
Inductor Current at BCM
Figure 42.
Inductor Current at CCM
1
ΔiL
2
I
(V
 VO )D
 in  DC . min
D 2 Lboundary f S .HIGH
IL 

VOUT
I in
(V
 VO )VOUT / VDC . min
 DC . min
/ VDC . min
2 Lboundary f S .HIGH
The inductance to be operated in BCM is:
η( 1 
Lboundary 
VO
)VOUT
2
VDC . min
2 f S . HIGH PO
Equation 8, 11: Operating Switching Frequency and Drain Peak Current at CCM
By Green Mode levels (refer to Figure 13):
fS 
f S . HIGH  f S . LOW
(VCOMP  0.8V )  22 kHz
VGREEN . HIGH  VGREEN . LOW
The relationship between VCOMP and Ids.peak is:
2.4V
 I ds. peak
VDC . min  VO
I LIMIT  SL  t CLD 
 t CLD
L
The calculation method of Ids.peak for CCM operation is:
VCOMP 
I ds . peak 
 VO )VOUT / VDC . min
I in I L
PO
(V


 DC . min
D
2
VOUT
2 Lf S
For simplicity, some of constants are substituted as:
f S . HIGH  f S . LOW
PO
, 
, 
VGREEN . HIGH  VGREEN . LOW
VDC . min
2.4V
V
 VO
I LIMIT  SL  t CLD  DC . min
 t CLD
L
There are two simultaneous equations having two variables, Ids.peak and fs:

Equation A:f S  α(γ  I ds.peak  0.8V)  22kHz
Equation B:I ds.peak  β
VDC.min VDC.min  VO VOUT /VDC.min

VOUT
2 Lf S
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
www.fairchildsemi.com
19
AN-5844
APPLICATION NOTE
Equation 9, 12: Operating Switching Frequency and Drain Peak Current at DCM
As above CCM calculation:
fS 
f S . HIGH  f S . LOW
(VCOMP  0.8V )  22 kHz
VGREEN . HIGH  VGREEN . LOW
2.4V
 I ds. peak
 VO
V
 SL  t CLD  DC . min
 t CLD
L
VCOMP 
I LIMIT
However, the calculation method of Ids.peak for DCM operation is:
V
 Vo
1
I ds.peak D1 & I ds.peak  DC . min
D1
Lfs
2
Lfs
1
2
 I in 
I ds.peak
2 VDC . min  Vo
I in 

Po
ηVDC . min
 I ds.peak 

Lfs
1
2
I ds.peak
2 VDC . min  Vo
Po
2(VDC . min  Vo )

Lfs
ηVDC . min
For simplicity, some of constants are substituted with the same as for CCM operation:

f S .HIGH  f S .LOW
PO
, 
, 
VDC . min
VGREEN .HIGH  VGREEN . LOW
I LIMIT
2.4V
V
 VO
 SL  t CLD  DC . min
 t CLD
L
There are two simultaneous equations having two variables, Ids.peak and fs:
Equation A : f S   (  I ds. peak  0.8V )  22kHz
Equation B : I ds. peak 
2VDC . min  VO 
Lf S
Related Datasheets
FSL306LRN − Green Mode Fairchild Buck Switch
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.
© 2013 Fairchild Semiconductor Corporation
Rev. 1.0.2 • 4/22/14
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
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