Application Note AN4105
Design Considerations for Switched Mode Power
Supplies Using A F airchild Power Switc h (FPS) in a
Flyback Converter
www.fairchildsemi.com
©2002 Fairchild Semiconductor Corporation
Introduction
Flyback switched mode power supplies (SMPS) are among
the most frequently used power circuits in household and
consumer electronics. The basic function of an SMPS is to
supply regulated power to the load on the secondary, or
output side. An SMPS typically incorporates a power
transformer, secondary-side rectifier diodes, a switching
semiconductor device with control IC, and peripheral
circuitry. If the level of integration of the switching and
control circuitry is not h igh enough, then addit i onal, s e par a te
circuits will be required to accomm odate all functions. Such
additional components raise the overall SMPS cost and not
uncommonly r educe reli ability.
Fairchild Power Switches are highly-integrated ICs for
power supply applications. They combine a high-voltage
power MOSFET (SenseFET) and pulse width modulation
(PWM) based control IC in one package. Moreover, they
provide enhanced IC functionality, thereby minimizing the
number of additional components needed in an SMPS.
Fairchild Power Switch (SPS) ICs are widely used in the
power circuits of a variety of equipment, such as color TVs,
printers, PCs, monitors, battery chargers and ac adapters.
They typically incorporate a variety of enhanced protection
functions and they permit a much reduced power
consumption in standby modes.
This application note considers the three major functional
blocks of an SMPS: Fairchild Power Swi tch (SPS) , flyback
converter, and transformer. It discusses a variety of issues
important to their design and use in the overall SMPS.
Figure1. Intern al block diagr am of a Fairchild Power Switch(FPS).
#2
Source
GND
#1
Drain
Sense
#4
Feedback
#5
Soft Start
& Sync.
LEB
Rsense
2.5R
R
OSC.
Reset
1mA2uA Vck
R
S
Q
6.3V Sync.
7.5V
5V
R
S
Q
Reset
Voffset
#3 Vcc
Voltage
Ref.
UVLO
32V
OVP
Control IC
Sense
FET
Thermal
Protection
Rev. 1.0.2
AN4105 APPLICATION NOTE
2
©2002 Fairchild Semiconductor Corporation
1. Block Diagram and Basic Operation
of a Fairchild Power Switch(FPS)
1.1 Block Diagram
Figure 1 presents a block diagram of a Fairchild Power
Switch (FPS). It can be divided into several large, functional
sections: under voltage lockout circuitry (UVLO); reference
voltage; oscillator (OSC); pulse width modulation (PWM)
block; protection circuits; and gate driving circuits.
1.2 Under Vol tage Lockout (UVLO)
A Fairchild Power Switch (FPS) under voltage lockout
(UVLO) circuitry (Figure 2) guarantees stable operation of
the IC’s control circuit by stopping and starting it as a
function of the value of V
CC
(Figure 3). The tur off and turn
on voltage thresholds are fixed internally at 10V and 15V,
respectively. Therefore the UVLO circuitry turns off the
control circuit when V
CC
is lower than 10V and starts it
when V
CC
is higher than 15V. Once the control circuit starts
operating, V
CC
must drop below the 10V level for the
UVLO to stop the cir cuit again. Before switching starts, the
IC current is less than 300µA. IC operation starts when C
CC
(Figure 2) charges to 15V. Because only a small current (<1
mA) is allowed to flow in through the resistor during normal
operation this technique reduces the current dissipation in
the SMPS start up resistor.
Figure 2. Detail of the undervoltage lockout (UVLO)
circuitry in a Fairchild Power Switch. The gate
oper ating circuit holds in a low state d uring UVLO,
thereby maintaining the SenseFET at turnoff.
Figure 3. Fairchild Power Switch(FPS) control circuit status vs. V
cc.
1.3 Feedback Control Circuit
The Fairchild Power Switch(FPS) control IC uses a current
mode PWM and operates such that MOSFET current is
proportional to the feedback voltage V
fb
. This limits the
MOSFET current at every cycle. It also offers other
advantages, such as a well regulated SMPS output voltage
with input voltage changes. This method of control also
works successfully in SMPSs used for monitors, which may
have a broad range of synchronizing frequencies to deal
with. As shown in Figure 4, the Fairchild Power Switch
(FPS) oscillator turns on the MOSFET. The feedback
comparator operates to turn it off again, when the MOSFET
current reaches a set value proportional to V
fb
. The
MOSFET turn off operation is as follows:(1) the internal
(R+2.5R) voltage divider sets the voltage fed back to one
input of the feedback comparator at V
fb
/3.5; (2) a current
propo rti onal to the dr ai n current flow s t o th e MO SF ET s ens e
terminal making V
sense
proportional to the drain current;
and, (3) when V
sense
becomes greater than V
fb
, the output of
the feedback comparator goes high, turning off the
MOSFET. Figure 4 also shows that the circuit is designed to
use an opto isolator in the feedback loop. This is appropriate
for an off line design where input to output
Vcc
15V/10V
UVL
O
Vz Vref
Internal Bias
Good Logic
5V
+
-
6V
Power On
Reset
Latch
Comparator
DC
LINK Rg
Ccc
3
SPS
Fairchild Power
Switch(FPS)
Vc
c
Vz
15V10V
20
Icc
[mA]
[V]
0.3
6V
Power On
Reset Range
[V]
APPLICATION NOTE AN4105
3
©2002 Fairchild Semiconductor Corporation
isolation is required. C
fb
improves the noise characteristics.
If the control IC incorporates an error amp however, as in
Fairchild’s KA3842B/3B/4B/5B current mode PWM
controller ICs for SMPSs then a resistor and capacitor are
required to provide the feedback to the error amp. This
would provided the same functions as those provided by the
circuit of Figure 4, e.g., fine control of the output voltage
through Vfb. Similarly, other appropriate devices here are
Fairchild’s LM431/TL431/KA431 series of three terminal
shunt regulators. These have a very sharp turn on
characteristic much like a Zener diode and are widely used in
SMPS secondary side error amplifiers.
Figure 4. Fairchild Power Switch(FPS) feedback circuit appropriate for off line SMPS use (current mode PWM).
1.4 Example Fairchild Power Switch (FPS)
Control Circuit
Figure 5 shows two approaches to control feedback with a
Fairchild Power Switch (FPS). The design in Figure 5a uses
the LM431 regulator, and that of Figure 5 b uses a Zener diode.
Even though zenor d iode approach is cost effectiv e, t he output
regulation is relatively poor.
In Figure 5a, C1 together with R1 produce high frequency
pole formed by the internal 3.5k resistor and C
fb
in the
compensation net worrk. R4 l imits the maximum current of the
photodiode to 2.3mA [(12V - 2.5V - 2V) /3.3K, where 2.5V
is the LM431's saturation voltage and 2 V is the photodiode's
voltage drop]. C
fb
should be determined by considering the
shutdown delay time (see Section 2.1). In Figure 5b, R3 sets a
fixed current to the Zener diode to stabilize its voltage.
R
S
Q
Rsense
2.5R
R
OSC.
Ioffset Sense
1mA2uA Vck
Precision
Current Source
Vfb
Vfb*
Reset
Vss
5V
Vsense Isense
Idrain
On
Off
#4
#5
Cfb
Css
#1
#2
SPS
Fairchild Power Switch(FPS)
AN4105 APPLICATION NOTE
4
©2002 Fairchild Semiconductor Corporation
Figure 5. Fairchild Power Switch(FPS) feedback control circuit.
1.5 Soft Start Operation
Normally, the SMPS output voltage increases from start up
with a fixed time constant. This is due to the capacitive
component of the load. At start up, therefore, the feedback
signal applied to the PWM comparator's inverting input
reaches its maximum value (1V), This is because the
feedback loop is ef fectively op en. Also at this time, the drain
current is at its peak value (I
peak
) and maximum allowable
power is being delivered to the secondary load. With that
said, note that when the SMPS pushes maximum power to
the secondary side for this initial fixed time, the entire circuit
is seriously stressed. Use of a soft start function avoids such
stresses. Figure 6 shows how to implement a soft start for a
Fairchild Power Switch(FPS). At turn on, the soft start
capacitor C
S
on pin 5 of the Fairchild Power Switch(FPS)
starts to charge through the 1mA current source. When the
voltage across C
S
reaches 3V, diode D
S
turns off. No more
current flows to it from the 1mA current source. Cs then
continues to charge to 5V through the 50k resistor.
R
S
Q
Rsense
2R
R
OSC.
Ioffset
1mA2uA Vck
Vfb
Vfb*
Sense
Cfb
Vo, 80V 12V
33n 2k
1k
2.2k
33k
0.1u
C1
PC817
(b) Control circuit that used the zener diode
1k
R2 Vz
R1 R3
R
S
Q
Rsense
2R
R
OSC.
Ioffset
1mA2uA Vck
Vfb
Vfb*
Sense
Cfb
Vo, 80V 12V
33n 2k
1k
33n
KA431
1k
3.3k
33k
1k
C1
C2
10n
PC817
(a) Control circuit that used KA431(LM431)
R1
R2
R3
R4
SPS
SPS
#4
#4
LM431
Fairchild Power Switch(FPS)
Fairchild Power Switch(FPS)
Control Circuit using KA431(LM431) Control IC
Control Circuit using a Zener Diode Control IC
APPLICATION NOTE AN4105
5
©2002 Fairchild Semiconductor Corporation
Figure 6. Soft start circuit.
Note that when the voltage across C
S
exceeds 3V, The voltage
at the comparators inverting terminal no longer follows the
voltage across C
S
. Instead, it follows the output voltage
feedback signal. In shutdown or protection circuit operation,
capacitor C
S
is dischar g ed, in order t o enable it t o charge from
0V at restart.
1.6 Synchronizat ion
In an SMPS intended for use with monitors, synchronization
is handled differently than in a general purpose SMPS. For
monitor use, it is necessary to prevent noise from appearing on
the monitor display. To accomplish this, it is necessary to
synchronize the SMPS switching frequency with the
monitors horizontal sy nc frequency. Th e moni tors horiz ontal
scan flyback signal is commonly used as the external sync
signal for the SMPS. By synchronizing the switching with the
horizontal scan’s flyback, the switching noise is positioned at
the far left of the monitor display where it cannot be seen.
Figure 7 shows how to implement the external circuit for
synchronization. The external sync signal, applied across
resistor R
s
, cannot drop below 0.6V because of diode D
sync
.
After th e conc lusio n o f t he init ial sof t st art, t he voltag e across
C
s
remains at 5V until the external sync signal is applied, at
which point it looks like V
Rs
of Figure 8. The sync comparator
compares V
Cs
against a 6.3V level and produces the
comparator output waveform, V
comp
of Figure 8.
A Fairchild Power Switch (FPS) has an internal timing
capacitor , C
t
. Figure 8 shows that wh en the voltage on C
t
, V
Ct
,
reaches an upper threshold, it begins to discharge; then, when
it reaches a lower threshold, it again starts to charge. This
operation is control le d by the in ternal os cillator. The oscillator
output signal, V
Ck
in Figure 8, which goes low.
Figure 7. Synchronization circuit.
when C
t
recharges and high when it discharges, is applied to
the Fairchild Power Switch (FPS) S/R Latch Set terminal. In
the absence of an external sync signal, the voltage across C
t
oscillates at the basic frequency of 20kHz. In the presence of
a sync signal, however, the Set signal goes high because V
Ct
charges to the high threshold following the external sync
signal, and, ultimately, the Set signal, which determines the
switching frequency, synchronizes to the external sync
signal. It is necessary to limit the Set signal's h igh duration to
5% or less of the full cy cle. As the Set signal drops low the
gate turns on. If the device were not synchronized to the
horizontal scan of the monitor, noise would appear on the
screen. When the Set signal goes high, the sync is synchro-
nized with the horizontal scan flyback. Because the high
duration is 5% (maximum) of the full cycle, the start of the
horizontal scan (as the Set signal goes low) turns on the
switch. The switch turn on noise, therefore, is hidden in the
horizontal blanking period at the far left of the monitor
display.
Figure 8. Synchronization circuit operation.
21
10V
External
Sync Input
A
B
50k
Cs
5V PWM
Comparator
Ds
Rs
Fairchild Power
Switch (SPS)
KA5XX Series
KA5SXX
KA5QXX
Series
#5#4
Fairch ild Power S wi t c h( F PS )
KA2SXX
KA3SXX
OSC.
OSC.OSC.
OSC.
1
External
Sync
Input VRS
5V PWM
comparator
VCOMP
Cs
Rs
6.3V
Sync
comparator
VCS
Dsync
#5
SPS
Fairchild Power Switch(FPS)
5V
V
CS
V
COMP
V
CT
Vck
V
RS
2V
V
ThL
0V
0V
0V
0V
0V
V
ThH
AN4105 APPLICATION NOTE
6
©2002 Fairchild Semiconductor Corporation
2. Fairchild Power Switch(FPS) Built
In Protection Circuit s
Since a Fairchild Power Switch (FPS)s built in protection
circuits do not require additional, external components,
reliability is increased withou t increasing cost. Note that the
protective circuitry can completely stop the SMP S operati on
(latch mode protection) until the power is turned off and on
again, and can make the control voltage restart above the
ULVO level should the latch be released below ULVO
(Auto Restart Mode protection).
2.1 Output Overload Prot ection
An overload is any load greater than the load defined as
normal for operation. This is not a short circuit. The
Fairchild Power Switch (FPS) overload protection
determines whether the overload is true or merely transient.
Only a true overload will trigger the overload protection.
When the Fairchild Power Switch (FPS) senses an overload,
it waits for a specified time. If the overload is still present
after this, it is considered a true overload and the device
shuts down.
The Fairchild Power Switch (FPS) has a current control that
prohibits current flow above a set maximum, which means
the maximum input power is limited at any given voltage.
Therefore, if the output load tries to draw more than this
level, V
o
(Figure 9) drops below the set voltage and LM431
can draw only a given minimum cur rent. As a r esult, the opto
coupler secondary current drops to almost zero. Almost the
entire current flow at the node is from the Fairchild Power
Switch (FPS) 1mA current source. Hence, the internal 3k
resistor (2.5R + R = 3K) moves V
fb
to 3V. From this point
on, however, the 5µA current source starts to charge C
fb
,
and, because the opto coupler secondary current is almost
zero, V
fb
continues to increase. When V
fb
reaches 7.5V, the
Fairchild Powe r Switch (FPS) shuts down.
Figure 9. Fairchild Power Switch(FPS) overload protection circuit.
The shutdown delay interval is therefore determined by C
fb.
When C
fb
is 10nF, the shutdown delay t2 (see Figure 10b) is
about 9mS. With C
fb
at 0.1µF, t2 is about 90ms. Such delay
intervals do not allow the typical transients observed to shut
down the Fairchild Power Switch (FPS). Note that, if a
longer delay is needed, C
fb
cannot be made arbitrarily large
because it is important in determining the dynamic response
of the SMPS.
When a large value of C
fb
is necessary, a series connected
capacitor and Zener diode can be connected across C
fb
as
shown in Figure 10a. The combination works in this way:
When V
fb
is below 3 V, the low valued C
fb
allows the SMPS
to have a good dynamic response. When V
fb
is above 3.9V,
the high valued C
d
extends the delay time to the desired
shutdown point. Of course, where tran sients are insig nificant
and good dynamic response is not required, then eliminate
C
d
and the Zener, thereby eliminating their added costs.
R
S
Q
Rsense
2R
R
OSC.
Ioffset
1mA2uA Vck
Vfb
Vfb*
Sense
Q
R
S
Reset
Thermal
Shutdown
7.5V
Cfb
Shutdown
Vo #4
SPS
KA431
D1 D2 2.5R
Fairchild Power Switch(FPS)
LM431
APPLICATION NOTE AN4105
7
©2002 Fairchild Semiconductor Corporation
Figure 10. Long delay shutdown.
2.2 Output Short Circui t Protection
When the SMPS’ s output terminal is short circuited the input
current is at maximum. The output power however, is not a
maximum. Th is is b ecaus e ther e can be no load voltage s ince
the load is a short circuit. Under such conditions the output
short circuit protection operates as follows.
When the output load short circuits a relatively large
transformer winding in the SMPS, the Fairchild Power
Switch(FPS)’s MOSFET current becomes much greater than
I
peak
because the inductor s magnetic core is unable to reset.
This is due to low transformer coil voltage at turn off. This
occurs because the current remaining in the inductor during
the Fairchild Power Switch(FPS)’s minimum turn on time
cannot decrease b y that amount during the remaining turn off
time. Even though it is a large current, it does not unduly
stress th e MOSF ET bu t does g reatly stress the tra nsformers
secondary coils and the secondary side rectifiers.
In most flyback or forward converters the controller gets its
power from a small secondary bias winding in the
transformer. Furthermore, this controller voltage is propor-
tional to the output voltage (see circuit of Figure 11a). This
is fairly straightforward because, for a flyback converter, the
coil voltage when the switch turns off is proportional to the
output vol ta ge.
For a forward converter, the transformer average voltage at
turn off is proportional to the output voltage. For a flyback
converter SMPS, the output short circuit protection circuit
can be operated in either latch mode or auto restart mode.
The change in V
cc
as a function of Rsd is shown in Figure
11b. Rsd is shown in Figure 11a. When R
sd
is zero, V
cc
reaches the maximum value of V
tx
(see lower primary
winding, Figure 11a), i.e., n'V
sn
/n, which is proportional to
the maximum transformer cur rent. For this case, if the output
short circuits, V
cc
increases and, after a specified delay, the
protection circuit operates, entering the latch mode.
However, when R
sd
is made sufficiently large, V
cc
can
become smaller than n'V
o
. Therefore, if the output short
circuits, V
cc
drops, but, if C
cc
(see Figure 11a) is sufficiently
large, V
cc
stays at a level higher than the UVLO's lower
threshold voltag e (10V ) until V
fb
reaches 7.5V (Figure 11c-
2) and latch mode protection starts. In contrast, if C
cc
is
small enough V
cc
approaches the UVLO's low threshold
before V
fb
reaches 7.5V (Figure 11c-3), and the UVLO
operates instead of the protection circuit, s toppin g the device
switching. In such a case, if V
cc
exceeds the ULVO's upper
threshold voltage (15V), auto restart operates again. R
sd
,
C
cc
, and C
fb
have af fects even at s tart up and p ower down, so
their values must be decided upon carefully. Our
experiments have indicated that 10-20W is most appropriate
for R
sd
.
Time Constant
= 3.5R*Cfb
2uA = Cfb*0.9V/t2
2uA = Cd*3.6V/t3
Shutdown
< SPS long Delayed Shutdown >
(b)
7.5V
3V
0t
V
t2t1
3.9V
t3
1mA2uA
Vfb
Vfb*
7.5V
Cf
b
#
4D1 D2
Vz=3.9V
Cd
SPS
Vo
KA431
(a)
LM431
Fairchild Power Switch(FPS)
<Fairchild Power Switch (FPS) long Delayed Shutdown>
AN4105 APPLICATION NOTE
8
©2002 Fairchild Semiconductor Corporation
Figure 11. Operation of the SMPS flyback converter’s output short circuit protection (latch mode ).
Cvcc
0
Vtx n
*
Vo
n
*
Vin/n
n
*
Vsn/n
(b) Flayback converter controller voltage and Rsd dependent Vcc
No Rsd
Low Rsd
Large Rsd
10V
7.5V
0V
3V
Vcc
Output short Shutdown
UVLO
(1)
(2)
(3)
Shutdown
UVLO
Shutdown
Vfb
t
(
C
)
Vcc and Vfb waveforms de
p
endin
g
on the relative size of Cvcc at out
p
ut short
SPS
VccVfb
Vtx
Control
IC
1
2
34
Vin Vsn
CccCfb
Rsd
n:1
n
*
:1
Vo
(a) Flyback converter
KA431
5
LM431
Fairchild Power Switch(FPS )
The voltage Vtx waveform of N
B
and V
CC
(the rect ifi ed V
NB
) depending on Rsd
Vin
APPLICATION NOTE AN4105
9
©2002 Fairchild Semiconductor Corporation
2.3 Fast Protecti on Without Delay
It was mentioned above that the Fairchild Power
Switch(FPS) sh utdown capability is associated with a delay,
to allow normal transients to occur without shutting down
the system. In effect, this restricts the protection range. If
fast protection is required, then additional circuitry is called
for. Figure 12 shows how it’s done. A transistor is used to
force the feedback photodiode current to increase causing
the primary side V
fb
to be forced below 0.3V. Therefore the
Fairchild Power Switch (FPS) stops switching. Depending
on the magnitude of the photodiode current, the protection
can be made to o perate suf ficiently fast. In such a case, wh en
the transistor is turned off, the protection shifts to auto restart
mode for normal operation. It is also possible to use this
circuit as an output enable circuit. Fast latch mode protection
can be implemented by adding a photocoupler. Thus, when
the output terminal latch mode transistor turns on, a large
current flows through the photodiode PC2. A large current
therefore flows through the primary phototransistor, which
increases V
fb
rapidly. This executes fast latch mode
protect ion wit h no ti me del ay.
Figure 12. A fast protection circuit without a shutdown delay.
2.4 Overvoltage Protection
The Fairchild Power Switch (FPS) has a self protection
feature that operates even when faults exist in the feedback
path. These could include an open or short circuit. On the
primary side, if the feedback terminal is short circuited, then
the voltage on it is zero and hence the Fairchild Power
Switch (FPS) is unable to st art switch in g.
If the feedback path open circuits, the protection circuit
operates as though a secondary overload is present. Further,
if the feedback terminal looks open due say, to some fault in
the primary feedback circuit, the primary side could switch
at the set maximum current level until the protection circuit
operates. This causes the secondary voltage to become much
greater than the rated voltage. Note that in such a case if
there were no pr otecti on circuit, t he fuse coul d blow or, more
serious, a fire could start.
It is possible that, without a regulator, devices directly
connected to the secondary output could be destroyed.
Instead, however, the Fairchild Power Switch (FPS) over
voltage protection circuit operates. Since V
CC
is propor-
tional to the output, in an over voltage situation it will also
increase. In the Fairchild Power Switch (FPS), the protection
circuit operates w hen V
cc
exceeds 25V. Therefore in normal
operation V
cc
must be set below 25V.
SPS
Vcc
Vfb
Vtx
Control
IC
1
2
3
4
Vin Vsn
Ccc
Cfb
Rsd
n:1
n*:1
Vo
KA431
5
PC1
PC2
PC1
Burst Mode
Shut Down
PC2
Latch Mode
Shut Down
Vo
LM431
Fairchild Power Switch(FPS)
Vin
AN4105 APPLICATION NOTE
10
©2002 Fairchild Semiconductor Corporation
3. Noise Considerations at switch Turn On
3.1 SMPS Current Sensing
Whether an SMPS is current mode or voltage mode
controlled, or uses some form of non linear control, it
requires the protection afforded by current sensing
capabilities. Even though m ost current sensin g is do ne using
a sensing resistor or a current transformer, there are
instances where a MOSFET is used by the SMPS to further
reduce current sensing losses. The Fairchild Power Switch
(FPS) sw itching elem ent is a SenseFE T. This minimises any
power losses in the sense resistor, which is integrated onto
the controller chip.
3.2 Current Sensing Waveform Noise After
Turn On
A leading edge spike is present on the current sense line
when the SMPS switching device turns on. It arises from
three causes, as shown in Figure 13: (1) reverse recovery
current; (2) charge/discharge current of the MOSFET shunt
capacitance; and (3) MOSFET gate operating current.
(1) Reverse recovery current is generated when the SMPS
operates in continuous conduction mode (CCM; see Section
4.1). If the MOSFET is turned on while t he rectifier d iode is
conducting, the diode, during its reverse recovery time will
act like a short circuit. Therefore a large current spike will
flow in the MOSFET. There are three ways to reduce the
magnitude of this (reverse recovery) current: use a fast
recovery diode; reduce the MOSFET’s gate operating
current at turn on; or, increase the transformer leakage
inductance.
(2) The total capacitance on the MOSFET’s drain side
includes the parasitic capacitor C
ds
between the drain and the
source terminals, the junction capacitance of the snubber
diode, and the capacitance of the transformer windings. At
turn on, the total equivalent capacitor discharges through the
MOSFET.
(3) As shown in the diagram, the MOSFET gate operating
current also flows through the current sensing resistor.
Figure 13. Current sensing waveform noise after turn on.
Vin
Control
IC
Rg
Rf
Rs
Cf
Vo Vin
Control
IC
Rg
Rf
R
s
Cf
Vo Vin
Control
IC
Rg
Rf
Rs
Cf
Vo
Reverse Recovery Current Charge/Discharge Current of
the equvalent capacitor MOSFET Gate Operating
Current
AN4105 APPLICATION NOTE
11
©2002 Fairchild Semiconductor Corporation
3.3 Dealing With Leading Edge Noise
Among the measures taken to reduce leading edge noise, the
most commonly used technique is the RC filter. As shown in
Figure 14a the RC filter is effective against the noise, but it
has the disadvantage that it distorts the current sensing signal
so that accurate current sensing becomes difficult.
Furthermore, a large RC value may be difficult to implement
on an IC and may even require a bigger chip. The technique
of leading edge blanking, as presented in Figure 14b and
14c, overcomes the distortion disadvantage of the RC
technique and works as follows. Since the problem noise
arises just after turn on, if a circuit is inserted that ignores the
current sensing line for a fixed time just after turn on,
operation can continue normally regardless of the noise.
Whatever the details of the location and type of circuit used,
the basic idea is to maintain a minimum turn on time i.e.,
touse the shortest turn on time that cannot be terminated
once turn on starts. Duty ratio control with a minimum turn
on time is implemented through a non linear control method
having a very wide co ntrol range relativ e to a linear control.
The non linear control operates such that if load conditions
require a turn on time of 400ns when the minimum turn on
time is set at 500ns, then one sw itching cycle will turn on at
800ns. The next cycle will be missed, ensuring that the
average turn on time is 400ns. In this case every other cycle
is missed. This is pulse skipping. In this case the switching
frequency will be half that of a linearly controlled system,
thereby improving SMPS efficiency at light loads. The input
power is therefore minimised. The Fairchild KA34063 dc/dc
converter is an example of a non linear control IC.
3.3.1 Burst Mode Operation
The aforementioned method can be viewed as an example of
burst mode o perati on . Bu rs t m ode o perat i on , by reducing the
switching frequency, is one of the most useful ways to
improve SMPS efficiency at light loads and to reduce the
standby input power of household appliances, etc. Note that
burst mode operation is not a burst oscillation (as in ringing
choke conversion circuits), which can brin g about reliability
problems. There are mainly two types of true burst mode
operation: one type lowers the switching frequency equally.
The other switches at normal frequency for a fixed time and
stops the control IC operation for a large number of cycles.
Even though in the first method the control IC continues to
consume power, the output voltage ripple is minimized.
The second method can be a useful way to reduce the
minimum input power at standby (since obviously the
standby power is greatly reduced when the IC is stopped).
Indeed, it is often used in cell phones to reduce the dc/dc
converter’s power consumption in standby mode. However,
it has the disadvantage of a larger output voltage ripple.
Currently, Europe restricts a household appliance’s standby
input power to less than 5W, and in time it will be required
to be less than 3W. For such needs, burst mode operation
will be a powerful method to satisfy the requirement for
reduced standby input power.
AN4105 APPLICATION NOTE
12
©2002 Fairchild Semiconductor Corporation
Figure 14. Leading edge blanking.
Rs
Rf
Cf
PWM
IC
Rg
MOSFET
Current
Sensing
< Noise elimination using RC filter >
< Noise elimination and waneforms in LEB >
R
S
Q
Vo
Feedback
Circuit
Ifb
Ifb Vfb
Vis
Cfb
LEB
OSC Vi
Va
Vb
Vq
Vck
Vck
Va
Vb
Vis Vfb
Vq
0
0
0
0
< Internal block diagram for noise elimination using LEB>
(a)
(b)
(c)
Noise elimination and waveforms in LE B
APPLICATION NOTE AN4105
13
©2002 Fairchild Semiconductor Corporation
4. Flyback Converter Operati on
4.1 Operation In Continuous Conduction Mode
(CCM)
Figure 15 shows a typical flyback convert er. When the current
through the converters inductor is always greater than zero
within a switching cycle, the converter is said to operating in
the continuous conduction mode (CCM). Figure 16 shows the
waveforms of CCM operation, whic h operate s as fo llows.
4.1.1 For t
0
~ t
1
= T
ON
At t
0
the MOSFET turns on. Immediately before t
0
, the
inductor current was flowing through diode D, but when the
MOSFET turns on, D turns off thereby isolating the output
terminal from the input terminal. At MOSFET turn on, its
V
DS
goes to zero, hence V
D
becomes (V
o
+ V
i
/n). During the
interval after MOSFET turn on (i.e., from t
0
on), V
i
is
applied to L
m
, so I
Lm
increases linearly with a slope as
shown by the followin g equation:
When the energy flow is examined, it is seen that the input
power source supplies ener g y t o L
m
while the MOSFET is on.
However, since the energy in L
m
continues to increase while
the output terminal is isolated from the input terminal, it is C
o
that has to su pply t he output current during t hi s inte rval.
4.1.2 For t
1
~ t
2
= T
OFF
At t
1
the MOSFET turns off. At the instant of turn off, the
inductor current that had b een fl owi ng t hro ugh th e MO SF ET
starts to flow through diode D. When D turns on, V
DS
becomes (V
i
+nV
o
). During this interval the voltage nV
o
is
applied to L
m
so that I
Lm
decreases in a straight line with the
following slope:
When the energy flow during this interval is examined, it is
seen that the inductor energy is delivered to the output. The
energy in L
m
is reduced by the amount of energy it delivers
to the output. When the MOSFET turns on again, at t
2
, one
switching cycle will end.
4.1.3 Relationship Between Input And Output
As shown in Figure 16, the colored areas A and B of the
waveform V
Lm
(the voltage applied to the inductor) must be
equal because the average voltage of the inductor or
transformer in steady state is always zero. Therefore:
The input and output currents become:
Hence the input and output powers are equal. An ideal
waveform is shown here because the effect of leakage
inductance has been ignored. In reality leakage inductance
will cause ringing.
Figure 15. A typical flyback converter.
Figure 16. Flyb ack conver te r opera ting waveforms in
continuous current mode (CCM).
Slope V
i
L
m
-------=
Slope nVO
Lm
------------=
nVO
Vi
------------TON
TOFF
--------------- D
D1
-------------==
ViTON nVOTOFF
=
I
O
n1 D()I
Lm, AVG
=
I
i
DI
Lm, AVG
=
I
D
V
D
V
in
V
O
I
O
I
C
R
O
C
O
L
m
V
DS
D
V
Lm
I
Lm
I
DS
n:1
t0t1t2t3
VGS
VDS
ILm
IC
0
0ON OFF
VLm
0
Slpoe=nVO/L m
Slope=Vi/Lm
ID
IO
0
Vi+nVO
TON TOFF
0Vi
nV0
A
B
V0+Vi/n
0
VD
0
IDS
0
AN4105 APPLICATION NOTE
14
©2002 Fairchild Semiconductor Corporation
4.2 Discontinuous Conduction Mode (DCM)
The appearance of an interval in which the inductor current
becomes zero during a switching cycle marks flyback
converter operation as discontinuous conduction mode
(DCM). As shown in Figure 17, the voltage waveform
applied to the inductor, V
Lm
, becomes more complex in
DCM. Hence, to avoid difficulties in computation T
OFF
is
not used. Instead, three input and output relationships of a
converter are derived by using T
OFF
* , the time when the
output rectifier diode is actually conducting.
Figure 17. Flyback converter operating waveforms in
discontinuous current mode (DC M).
The boundary condition between DCM and CCM is:
The following input output relationship in DCM is derived
by using the fact that the colored areas A and B of V
Lm
in
Figure 17 must always be equal because, in steady state, the
average inductor (or transformer) voltage is always zero.
.
Deriving the above equation again, using I
o
and the fact that
the input and output powers are equal, V
o
is obtained as:
The following equation represents the input power:
where f
sw
is the switching frequency.
4.3 Flyback Converter Design
4.3.1 Turns Ratio Considerations
The turns ratio of an SMPS’s flyback converter transformer
is an important variable. It affects the voltage and current
levels associated with the primary side switching device and
the secondary side rectifier, as well as the number of turns on
the transformer and the current through it. A frequently
discussed design concept suggests operating at maximum
duty ratio when the input voltage is a minimum. For
simplified calculations, here it is assumed that operating
conditions change as listed immediately below.
- V
ac
input: 85 ~ 265V
ac
- V
dc
(rectified voltage): 100 ~ 400V
dc
- Output voltage: 50V
dc
- Inductor current: Continuous conduction mode (CCM)
operation assumed.
The input power taken by the dc source is the product of the
dc voltage and average input current. Using a wide duty
cycle to deliver equal average current reduces efficiency.
A narrow duty cycle increases the effective current on the
primary side, increasing the operating temperature of the
primary winding and the MOSFET. Also, it is best to decide
on a turns rat io, n, based on the devi ce used. If the vo ltage on
the primary side MOSFET is relatively low (e.g., 600V),
make n small; if it is on the high side (e.g., 800V), make n
large. As the value of n increases, the primary side switching
device current and the secondary side rectifier diode voltage
decreases Hence, with high output voltage and multiple
secondary side outputs, it is advantageous to increase n.
t
0
t
1
t
2
t
3
V
GS
V
DS
I
Lm
I
D
0
0
0
0ON OFF
V
Lm
I
O
T
ON
T
OFF
T
OFF
*
V
i
+nV
O
V
i
V
i
nV
0
A
B
V
i
+nV
O
0
Slpoe=V
i
/L
m
Slope=nV
O
/L
m
V
O
+V
i
/n V
O
0
V
D
I
DS
0
I
C
0
I
O
Slope
I
i
I
O
+V
i
2L
m
---------- T
ON
=
VO
Vi
-------- TON
T*OFF
-------------------D*
1D*
----------------==
ViTON nVOT*OFF
=
V
O
V
i
T
ON
()
2
2I
O
n
----- L
m
T
ON
T
OFF
+()V
i
+
-----------------------------------------------------------------=
P
IN
1
2
---L
m
I
Lm,(peak)
2
fsw=
APPLICATION NOTE AN4105
15
©2002 Fairchild Semiconductor Corporation
4.3.2 Deciding On The Operating Current Mode
As discussed in Sections 4.1 and 4.2, there are two different
operating current mod es possible in a flyback con verter: the
continuous conduction mode (CCM); and the discontinuous
conduction mode (DCM). Here the advantages and
disadvantages of each are reviewed, to help the designer
make a proper choice between them.
4.3.2.1 Charact eristics Of The Discontinuous
Conduction Mode
In a flyback converter design, if discontinuous conduction
occurs just at minimum input voltage and maximum output
power, then discontinuous conduction must be considered to
be the case for all input conditions. The flyback converter’s
input power in discontinuous conduction mode can be
expressed as:
Regardless of any changes in input voltage, the power
equation indicates that the input current is limited by the
peak value of the current flowing through the MOSFET in
the transformer primary. A Fairchild Power Switch (FPS)
has an integrated overcurrent protection feature (see Secti on
2.1, above). This feature does not require external
components and operates across the range of input current.
However, the fixed operating current of DCM, tends
somewhat to offset the effect of the larger effective primary
side current. T he gain is at th e low frequency end where co re
loss is not a problem since only a minimum number of turns
need be wound. Also, turn on loss is not a serious problem
due to the low input current. Other losses such as eddy
current, skin eff ect, proximity ef fect, etc., are not significant.
A more clearly defined advantage of DCM operation is that
it permits the use of a slow and hence, low cost secondary
rectifier diode. In contrast to the continuous conduction
mode, in the discontinuous conduction mode the effective
current is higher, requiring the use of heavier wire and hence
thicker coils. Therefore DCM does not bring an advantage
insofar as transformer construction is concerned. Moreover,
DCM causes the MOSFET op erating temper ature to increas e
because of the large effective primary side current, as was
described above (Section 4.3.1).
4.3.2.2 Characteristics Of The
Continuous Conduction Mode
Since the coils’ effective current is decreased CCM brings
the advantage of lighter wire. The smaller effective current
also reduces MOSFET heating. This is a definite advantage
for average input current. On the other hand, CCM operation
brings with it a need to consider the r ectifier diode’s rever se
recovery current. Depending on the diode’s reverse recovery
time (t
rr
), the reverse recovery current may stress the diode
and increase the loss at its end terminals. It is therefore
necessary to use a diode with the minimum t
rr
possible
within the allowable cost range.
P
I
1
2
---L
m
I
P
2
fsw=
AN4105 APPLICATION NOTE
16
©2002 Fairchild Semiconductor Corporation
Figure 18. The curr ent and voltage ratings required on the primary side switc hing dev ice and the sec onda ry side
rectifier diode depend on the turns ratio (n) selected.
4.3.2.3 Designers Choice
As is clear from the above discussion, DCM operation can
be advantageous, in terms of cost and efficiency, if the input
is small and it is required to precisely control the input power
through the primary side switch (MOSFET) current.
On the other hand, for large inputs and where switching turn
on loss could be a major problem, a CCM design would be
more advantageous. In conclusion, therefore, the system
designer must decide between the two modes according to
which mode best fits the characteristics of the system being
designed.
n V
i
=100V V
i
=400V Merits & demerits
1
V
DS
=167V
V
D
=125V
V
DS
=467V
V
D
=317V
-
V oltage applied to switch device is
low
-Effective current in switching device
and primary winding is low
-V oltage applied to rectifier diode is
high
-Output voltage ripple is small
-Control must be done through short
turn-on tim e
2
V
DS
=200V
V
D
=100V V
DS
=500V
V
D
=250V
-Intermediate Design Method
3
V
DS
=250V
V
D
=83V V
DS
=550V
V
D
=183V
-
V oltage applied to switch device is
high
-Effective current in switching device
and primary winding is high
-V oltage applied to rectifier diode is
low
-Output voltage ripple is largel
-Control must be done through long
turn-on tim e
V
i
=100V
nV
O
=67V
0
V
DS
0
V
i
/n=75V
V
O
=50V
V
D
V
i
=100V
nV
O
=100V
0
V
DS
0
V
i
/n=50V
V
O
=50V
V
D
V
i
=100V
nV
O
=150V
0
V
DS
0
V
i
/n=33V
V
O
=50V
V
D
V
i
=400V
nV
O
=67V
0
0
V
i
/n=267V
V
O
=50V
V
DS
V
D
V
i
=400V
nV
O
=100V
0
0
V
i
/n=200V
V
O
=50V
V
DS
V
D
V
i
=400V
nV
O
=150V
0
V
DS
0
V
i
/n=133V
V
O
=50V
V
D
V
D
V
i
V
DS
V
Lm
n:1
APPLICATION NOTE AN4105
17
©2002 Fairchild Semiconductor Corporation
5. The Transformer
5.1 Why a Transformer Is Needed
There are three reasons for needing a transformer in a power
conversion circuit. The first reason is safety. A transformer
affords electrical isolation between the primary and
secondary sides, as shown in Figure 19a. In addition, a true
ground on the output side helps prevent electric shock. The
second reason is for voltage conversion. For example, if a
dc/dc converter (such as the buck converter shown in Figure
19b) switching at 50kHz is used to obtain 5V from 100V.
The duty cycle would only be 5%. Using a 50kHz switching
frequency, the control circuit may have only about 1µs to
act, which is not an easy task. Even if this were possible, the
internal voltage and current for each element would be very
large reducing efficiency. The problem is aggravated at high
output current. In the above example, using a transformer to
lower the voltage to 10V would then allowing an on time of
about 10µs. This is an advantageous strategy for lowering
cost and raising efficiency. The third reason to use a
transformer has to do with high voltages and voltage fluctu-
ations. For example, even though all control for a 1000V
supply is done at the 5V power source on the GND side, a
transformer is necessary if power is needed for current
sensing at the 1000V output terminal or for other control. If
the isolation voltage between the transformer windings is
sufficient, a 1000V potential difference can be safely
maintained between the primary and secondary windings
and power can be delivered. Further, a transformer is also
required when the power GND has a sudden potential
fluctuation as in a half bridge converter, gate drive power
source.
Figure 19. Why a transformer is needed.
5.2 The Ideal Transformer
The transformer is a device that uses inductive coupling
between its windings to deliver power or signals from one
winding to the another. This is usually from the primary
winding to the secondary winding. The voltages across the
windings can be rais ed or lowered with res pect to each other,
and, if necessary, the primary and secondary sides can be
isolated from each other. Figure 20 shows an ideal
transformer, a simplistic model useful in describing the
transformer concept. An ideal transformer which is actually
a fictional concept must satisfy the following three
conditions:
1.The coupling coefficient between the windings
is unity (i.e., the leakage flux is zero);
2.The coil loss is zero (the device has no losses).
3.The inductance of each coil is infinite.
AC220V
&Rectifier DC
Output
Electric short when touched Safe to touch
GND
(a) For safty
(b) For voltage change
100V ----> Duty 5% ----> 5V
50kHz --> Ton=1uS
100V --> 10V --> Duty 50% --> 5V
50kHz -> Ton=10uS
10:1
5V
5V
1000V
(c) For potential fluctuation
Vin=100V
Vin=100V
Vo=5V
Vo=5V
Shock
Safety
AN4105 APPLICATION NOTE
18
©2002 Fairchild Semiconductor Corporation
Figure 20. Ideal transformer.
The input to output voltage ratio of an ideal transformer is
directly proportional to the turns ratio. This is the ratio of the
number of turns on the primary winding to the number of
turns on the secondary. The polarity is represented schemati-
cally by the placement of a dot on each winding. Since n =
V
p
/V
s
, and an ideal transformer has no loss, the current ratio
is inversely proportional to the turns ratio. The current direc-
tion is such that it enters on one side and leaves at another.
Thus the sum of all the nI that flow into the dot is zero. The
dot, indicating the winding polarity, is placed to make the
flux direction in the transformer core uniform when current
flows into the dot. Furthermore, in the case of an ideal trans-
former, if the path on the secondar y side win ding s is open ed,
there is no secon dary cur rent flow, and the current on the pri-
mary side also goes to zero.
5.3 The Real Transformer
Significant differences exist between an ideal transformer
and a real one. In a real transformer:
1. The coupling coefficient between each coil is finite, and
when a gap is placed in the core as is done in many power
transformers, the coupling coefficient becomes still smaller
(i.e., there is leakage flux);
2. There are losses, such as iron (hysteresis) loss, eddy current
loss, coil resistance loss, etc.; and,
3. The inductance of each coil is finite. When a gap is
placed in the core the inductance becomes still smaller.
In a real transformer, should the secondary side be opened
current would continue to flow in the primary (as in 3,
above). So, while energy cannot be stored in the ideal
transformer, it is stored in a real transformer. The so-called
magnetizing inductance accounts for this energy storage
phenomenon. The circuit of Figure 21 is a simplistic view of
an actual transformer and shows the magnetizing indu ctance.
Figure 22 presents a more complete equivalent circuit of a
real transfor mer, showing inductances and loss resistances
Figure 21. A model of an actual transformer showing the
magnetizing inductance L
m
, which accounts for energy
storage.
Figure 22. A more complete equivalent circuit of an
actual transformer, showing inductances and loss
resistances.
V
P
V
S
I
P
I
S
N
P
:N
S
V
P
:V
S
=N
P
:N
S
I
P
:I
S
=N
S
:N
P
V
P
V
S
I
P
I
S
N
P
:N
S
V
P
:V
S
=N
P
:N
S
I
P*
:I
S
=N
S
:N
P
I
P*
L
m
Ideal Transformer
RsRp Llp Lls
Lm
Rm
Ideal Transformer
- Rp:Primary side winding resistance
- Rs:Secondary side winding resistance
- Llp:Primary side leakage inductance
- Lls:Secondary side leakage inductance
- Lm:Magnetizing inductance
- Rm:Transformer core loss resistance
APPLICATION NOTE AN4105
19
©2002 Fairchild Semiconductor Corporation
6. Transformer Design
6.1 Core Selection
The maximum power that a transformer core can deliver and
the maximum energy a transformer inductor can store
depends on the shape and size of the core. In general, as the
effective cro ss sectional area (Ae) increases, more power can
be delivered. Also, as the window area (Aw) on which the
coils are wound increases, more and thicker windings can be
used, allowing a further increase in the power that can be
delivered. The product of Aw and Ae is called the area
product, AP, and the maximum power a transformer can
deliver is proportional to an exponential power of AP.
Indeed, recent transformer theory shows designs depending
almost entirely on AP. In the broader view, a flyback
converter transformer can be viewed as a coupled inductor,
so it's common to design a flyback transformer using
inductor design methods. The two equations below, (a) and
(b), represent two ways to calculate AP. Equation (a) below,
is a method based on whether or not the core is satu rated, is
appropriate at low operating frequencies. Equation (b),
limited by core loss, is appropriate at high frequencies. For
any given design, it is necessary to calculate AP using both
equations, and the equation that gives the higher value is the
one that must be considered correct. Equation (a) assumes
that all losses are wire losses an d ign ores the co re (iro n) loss.
L and B
MAX
are in Henries and Tesla units, respectively, and
K is listed in Table 1, below. From the above equation the
current density (J) per unit area of wire is obtain ed from the
current by the relationship below, which assumes that the
temperature of the inductors “hot spot” is 30°C above
ambient.
At any operating frequency high enough so that the core
losses become large, the following equation should be used.
Specifically, it assumes that the total transformer losses are
split equally (50/50) between the wire an d the core
.
In equation (b), K
H
is t he hysteresis coefficient (typically 4 x
10
-5
for ferrite cores) and K
E
is the eddy current coefficient
(typically 4 x 10
-10
for ferrite cores).
The current density relation ship here, repres ented by the
equation for J
30
, below, assumes a hot spot temperature of
15°C above ambient, with the i ron los s adding on an
additional 15°C ( again, a tota l of 30° C above ambi ent).
The paramete r K in equation (a) is the product of the window
utilization factor K
U
with the primary area factor K
P
.
(See Table 1.) K
U
is the ratio of the cross sectional area of
the winding’s copper to the entire window area, and it is
significant in setting the isolation between the primary and
secondary sides. Because it is related to the transformer
shape and winding method, the designer should know the
value of K
U
for the transformer usually used.
The value of K
U
can vary greatly, depending particularly on
how closely the isolation safety standards (re isolation) are
followed; the K
U
of Table 1 assumes a general bobbin is
used. K
P
is the ratio of the area of the primary winding to
that of the total winding. In Table 1, it is unity for the
inductors because a buck boost inductor has no secondary
windings. For the flyback transformer coupled inductor, K
P
is usually 0.5, as Table 1 shows; such an inductor has the
highest efficiency when the primary and secondary winding
areas are equal. When there are more secondary windings,
however, the K
P
for a flyback transformer coupled inductor
can be lower than 0.5. Note that the ease and speed of
obtaining an accurate AP from equatio ns (a) and (b) dep ends
on the designer's experience. A reasonably good knowledge
of the probable valu es of the thr ee parameters K
U
, K
P
, and J
for the flyback transformer being designed will reduce the
number of trial and error attempts necessary.
AP LI
P
I
RMS
10
4
420KB
MAX
-------------------------------



1.31
cm
2
[] a) =
L = Inductance of Transformer
Ip = Operating peak current
Bmax = MAximum operating flux density
Irms = RMS current
J
30
420 AP
0.24
Acm
2
[]=
AP LImIRMS104
130K
------------------------------------------




1.58
KHfSW KEfsw
()
2
+()
0.66 cm2
[]b)=
L = Inductance of Transformer
Ip = Operating peak current
Irms = RMS current
J
30
297AP
0.24
Acm
2
[]=
AN4105 APPLICATION NOTE
20
©2002 Fairchild Semiconductor Corporation
6.2 Determining The Number of Turns
Although the equation for the minimum number of flyback
transformer turns can be determined using applied voltage
and maximum turn on time, the equations used here are
derived from the relationship between L and I
P
.
For an AP determined from equation (a), above, calculate
N
MIN
using the following eq uations:
For an AP determined from equation (b), above, calculate
N
MIN
using the following eq uations:
6.3 The Windings
The cross sectional area of the winding must be obtained
from the calculated effective current and the current density
(from the appropriate equation above), factoring in the
number of turns (as determined from a calculation of
NMIN). If eddy current loss is not a serious problem simply
divide the effective current by the current density, thereby
determining the coil cross sectional area.
Be aware, however, that as the coil becomes thicker, the
problem of eddy current loss will arise. Using twisted thin
coil strands (Litz wire), instead of a single heavy wire, can
reduce the eddy current loss, but K
U
will become smaller.
6.4 Determining The Gap
It is not easy to precisely calculate the required gap
.
However, the gap can be calculated from the following
equation. It is based on the fringing effect of the surrounding
flux. Note that the calculated value of L is usually larger than
required.
Therefore, the gap must be changed to obtain the required
value of L
.
References
1. Transformer and Inductor Design Handbook. 2nd ed.
Col. Wm. T. McLyman. Marcel Dekker, Inc., 1988.
2. Switch Mode Power Supply Handbook. Keith H.
Billings. McGraw-Hill, Inc., 1989.
KA1H0280RB, KA1M 02 80 RB, KA1H0380RB, KA1M0380RB,
KA1L0380RB, KA1L03 80B, KA1H0680B, KA1M0680B,
KA1H0680RF B , KA1M 068 0RB, KA1M0880B, KA1L0880B,
KA1M0880BF, KA1M0880D, KA2S0680B, KA2S0880B,
KA3S0680RB, KA3S0680RFB, KA3S0880RB, KA3S0880RFB,
KA1H0165RN, KA1H0165R, KA1H0265R, KA1M02 65 R ,
KA1H0365R, KA1M 0365R, KA1L0365R, KA1H0565R,
KA1M0565R, KA1M0765RC, KA1M 07 65 R , KA1M0965R,
KA2S0765, KA2S0965, KA2S09655, KA2S1265, KA3S0765R,
KA3S0765RF, KA3S0965R, KA3S09 65RF, KA3S1265R,
KA3S1265RF, KA5H0280R, KA5M0280R, KA5H0380R,
KA5M0380R, KA5L0380R, KA5P0680C, KA5H0165R,
KA5M0165R, KA5L0165R, KA5H0 165RV, KA5M0165RV,
KA5L0165RV, KA5M0165RI, KA5L0 165RI, KA5H0165RN,
KA5M0165RN, KA5L0165RN, KA5H0165RVN,
KA5M0165RVN, KA5L0165RVN, KA5H02659RN,
KA5M02659RN, KA5H026 5RC, KA5M0265R, KA5L0265R,
KA5M0365RN, KA5L0365RN, KA5H0365R, KA5M0365R,
KA5L0365R, KA5M0765RQC, KA5M0965Q, KA5S0765C,
KA5S09654QT, KA5S0965, KA5S12656, KA5 S1 265,
KA5Q0740RT, KA5Q0945RT, KA5Q0765RT, KA5Q126 56RT,
KA5Q126 5R F, KA5Q1565R F, FSDH0165, FSDH565,
FS6M07652RTC, FS6M12653RTC, FS6S0765RCB,
FS6S0965RT, FS6S0965RC, FS6S1265RB, FS6S1565RB,
FS7M 08 80 , FS8 S0 765RC
Table 1. K
U
, K
P
, and K
K
U
K
P
K = K
U
K
P
CCM Buck, Boost Inductor 0.7 1.0 0.7
DCM Buck, Boost Inductor 0.7 1.0 0.7
CCM Flyback Transformer 0.4 0.5 0.2
DCM Flyback Transformer 0.4 0.5 0.2
N
MIN
LI
P
B
MAX
A
C
-----------------------10
4
=
L = Inductance of Transformer
Ip = Operating peak current
Bmax = Maximum operating flux density
Ae = Effective cross-sectional area of core
N
MIN
LI
m
B
m
A
C
--------------------10
4
=
L = Inductance of Transformer
Ip = Operating peak current
Bmax = Maximum operating flux density
Ae = Effective c ross-sectional area of core
I
g
u
O
u
r
N
2
A
C
L
---------------------------- 10
2
cm
[]
=
Uo = Permeability of free space
Ur = Relative permeability
APPLICATION NOTE AN4105
21
©2002 Fairchild Semiconductor Corporation
AN4105 APPLICATION NOTE
3/19/ 04 0.0 m 002
2002 Fairchi ld Semi co nd ucto r Corpo ra ti on
DISCLAIMER
FAIRCHILD SEMICONDUCTOR RESERVES THE RIGHT TO MAKE CHANGES WITHOUT FURTHER NOTICE TO ANY
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