Theory and Applications of the MC34063 and �A78S40 Switching Regulator Circuits

AN920/D
Theory and Applications
of the MC34063 and
mA78S40 Switching
Regulator Control Circuits
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APPLICATION NOTE
This paper describes in detail the principle of operation of the MC34063 and μA78S40 switching regulator subsystems. Several
converter design examples and numerous applications circuits with test data are included.
INTRODUCTION
The MC34063 and μA78S40 are monolithic switching
regulator subsystems intended for use as dc to dc converters.
These devices represent a significant advancement in the
ease of implementing highly efficient and yet simple
switching power supplies. The use of switching regulators
is becoming more pronounced over that of linear regulators
because the size reductions in new equipment designs
require greater conversion efficiency. Another major
advantage of the switching regulator is that it has increased
application flexibility of output voltage. The output can be
less than, greater than, or of opposite polarity to that of the
input voltage.
control signal will go low and turn off the gate, terminating
any further switching of the series−pass element. The output
voltage will eventually decrease to below nominal due to the
presence of an external load, and will initiate the switching
process again. The increase in conversion efficiency is
primarily due to the operation of the series−pass element
only in the saturated or cutoff state. The voltage drop across
the element, when saturated, is small as is the dissipation.
When in cutoff, the current through the element and likewise
the power dissipation are also small. There are other
variations of switching control. The most common are the
fixed frequency pulse width modulator and the fixed
on−time variable off−time types, where the on−off
switching is uninterrupted and regulation is achieved by
duty cycle control. Generally speaking, the example given
in Figure 1b does apply to MC34063 and μA78S40.
PRINCIPLE OF OPERATION
In order to understand the difference in operation between
linear and switching regulators we must compare the block
diagrams of the two step−down regulators shown in Figure
1. The linear regulator consists of a stable reference, a high
gain error amplifier, and a variable resistance series−pass
element. The error amplifier monitors the output voltage
level, compares it to the reference and generates a linear
control signal that varies between two extremes, saturation
and cutoff. This signal is used to vary the resistance of the
series−pass element in a corrective fashion in order to
maintain a constant output voltage under varying input
voltage and output load conditions.
The switching regulator consists of a stable reference and
a high gain error amplifier identical to that of the linear
regulator. This system differs in that a free running oscillator
and a gated latch have been added. The error amplifier again
monitors the output voltage, compares it to the reference
level and generates a control signal. If the output voltage is
below nominal, the control signal will go to a high state and
turn on the gate, thus allowing the oscillator clock pulses to
drive the series−pass element alternately from cutoff to
saturation. This will continue until the output voltage is
pumped up slightly above its nominal value. At this time, the
© Semiconductor Components Industries, LLC, 2013
December, 2013 − Rev. 6
Vin
Vout
+
Linear Control
Signal
Error
Amp
Ref
Voltage
−
a. Linear Regulator
Vin
Vout
Gated
Latch
Error
Amp
+
Ref
Voltage
−
Digital
Control Signal
OSC
b. Switching Regulator
Figure 1. Step−Down Regulators
1
Publication Order Number:
AN920/D
AN920/D
GENERAL DESCRIPTION
The MC34063 series is a monolithic control circuit
containing all the active functions required for dc to dc
converters. This device contains an internal temperature
compensated reference, comparator, controlled duty cycle
oscillator with an active peak current limit circuit, driver,
and a high current output switch. This series was specifically
designed to be incorporated in step−up, step−down and
voltage−inverting converter applications. These functions
are contained in an 8−pin dual in−line package shown in
Figure 2a.
The μA78S40 is identical to the MC34063 with the
addition of an on−board power catch diode, and an
uncommitted operational amplifier. This device is in a
16−pin dual in−line package which allows the reference and
the noninverting input of the comparator to be pinned out.
These additional features greatly enhance the flexibility of
this part and allow the implementation of more sophisticated
applications. These may include series−pass regulation of
the main output or of a derived second output voltage, a
tracking regulator configuration or even a second switching
regulator.
these conditions, the comparator’s output can inhibit a
portion of the output switch on−cycle, a complete cycle, a
complete cycle plus a portion of one cycle, multiple cycles,
or multiple cycles plus a portion of one cycle.
Drive
8
Collector
B
Latch
S
A
Q
170
3
Timing
Capacitor
1.25 V
Reference
Regulator
+
Comp
Switch
Emitter
CT
VCC 6
Comparator
Inverting 5
Input
2
Q1
Ipk
7
Sense
OSC
Switch
Collector
Q2
R
Ipk
1
−
4 Ground
VCC
Ipk Sense
Driver
Collector
Switch
Collector
10
Timing
Capacitor
9
GND
Inverting
Input
12
13
14
15
16
11
GND
CT
OSC
S
B
Comp
−
+
1.25 V
Ref
Latch
A
Ipk
Q
R
170
Op
Amp
−
D1
3
2
1
Diode
Cathode
Noninverting
Input
4
Diode
Anode
Inverting
Input
5
Switch
Emitter
6
VCC
Op Amp
7
Ref
Output
+
8
Output
FUNCTIONAL DESCRIPTION
The oscillator is composed of a current source and sink
which charges and discharges the external timing capacitor
CT between an upper and lower preset threshold. The typical
charge and discharge currents are 35 μA and 200 μA
respectively, yielding about a one to six ratio. Thus the
ramp−up period is six times longer than that of the
ramp−down as shown in Figure 3. The upper threshold is
equal to the internal reference voltage of 1.25 V and the
lower is approximately equal to 0.75 V. The oscillator runs
continuously at a rate controlled by the selected value of CT.
During the ramp−up portion of the cycle, a Logic “1” is
present at the “A” input of the AND gate. If the output
voltage of the switching regulator is below nominal, a Logic
“1” will also be present at the “B” input. This condition will
set the latch and cause the “Q” output to go to a Logic “1”,
enabling the driver and output switch to conduct. When the
oscillator reaches its upper threshold, CT will start to
discharge and Logic “0” will be present at the “A” input of
the AND gate. This logic level is also connected to an
inverter whose output presents a Logic “1” to the reset input
of the latch. This condition will cause “Q” to go low,
disabling the driver and output switch. A logic truth table of
these functional blocks is shown in Figure 4.
The output of the comparator can set the latch only during
the ramp−up of CT and can initiate a partial or full on−cycle
of output switch conduction. Once the comparator has set
the latch, it cannot reset it. The latch will remain set until CT
begins ramping down. Thus the comparator can initiate
output switch conduction, but cannot terminate it and the
latch is always reset when CT begins ramping down. The
comparator’s output will be at a Logic “0” when the output
voltage of the switching regulator is above nominal. Under
Noninverting
Input
a. MC34063
b. mA78S40
Figure 2. Functional Block Diagrams
V
Upper Threshold 1.25 V Typical
Lower Threshold 0.75 V Typical
t
6t Charge
t
Discharge
Figure 3. CT Voltage Waveform
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Active Condition of
Timing Capacitor, CT
AND Gate Inputs
A
Latch Inputs
Output
Switch
B
S
R
Begins Ramp−Up
0
0
0
Switching regulator’s output is ≥ nominal
(‘B’ = 0).
Begins Ramp−Down
0
0
0
No change since ‘B’ was 0 before CT Ramp−
Down.
Comments on State of Output Switch
Ramping Down
0
0
1
0
No change even though switching regulator’s
output < nominal. Output switch cannot be
initiated during RT Ramp−Down.
Ramping Down
0
0
1
0
No change since output switch conduction
was terminated when ‘A’ went to 0.
Ramping Up
1
0
Ramping Up
1
0
Switching regulator’s output went < nominal
during CT Ramp−Up (‘B’ → 1). Partial on−
cycle for output switch.
1
Switching regulator’s output went ≥ nominal
(‘B’ → 0) during CT Ramp−Up. No change
since ‘B’ cannot reset latch.
Begins Ramp−Up
1
Complete on−cycle since ‘B’ was 1 before CT
started Ramp−Up.
Begins Ramp−Down
1
Output switch conduction is always terminated whenever CT is Ramping Down.
Figure 4. Logic Truth Table of Functional Blocks
Current limiting is accomplished by monitoring the
voltage drop across an external sense resistor placed in series
with VCC and the output switch. The voltage drop developed
across this resistor is monitored by the Ipk Sense pin. When
this voltage becomes greater than 330 mV, the current limit
circuitry provides an additional current path to charge the
timing capacitor CT. This causes it to rapidly reach the upper
oscillator threshold, thereby shortening the time of output
switch conduction and thus reducing the amount of energy
stored in the inductor. This can be observed as an increase
in the slope of the charging portion of the CT voltage
Comparator Output
waveform as shown in Figure 5. Operation of the switching
regulator in an overload or shorted condition will cause a
very short but finite time of output conduction followed by
either a normal or extended off−time internal provided by
the oscillator ramp−down time of CT. The extended interval
is the result of charging CT beyond the upper oscillator
threshold by overdriving the current limit sense input. This
can be caused by operating the switching regulator with a
severely overloaded or shorted output or having the input
voltage grossly above the nominal design value.
1
0
Timing Capacitor, CT
Output Switch
On
Off
Nominal Output Voltage
Level
Output Voltage
Startup
Quiescent Operation
Figure 5. Typical Operating Waveforms
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AN920/D
Ichg, Charging Current (mA)
30
10
3.0
TA = 25°C
VCC = 40 V
L
Q1
+Vin
+Vout
MC34063
μA78S40
VCC = 5 V
+
D1
Co
RL
1.0
a. Step−Down Vout Vin
0.3
0.1
0.03 0
L
Ichg = Idischg
0.2
0.4
0.6
0.8
VCLS, Current−Limit Sense Voltage (V)
+Vin
MC34063
μA78S40
1.0
+Vout
D1
Figure 6. Timing Capacitor Charge Current versus
Current−Limit Sense Voltage
+
Q1
Co
RL
b. Step−Up Vout Vin
Under extreme conditions, the voltage across CT will
approach VCC and can cause a relatively long off−time. This
action may be considered a feature since it will reduce the
power dissipation of the output switch considerably. This
feature may be disabled on the μA78S40 only, by connecting
a small signal PNP transistor as a clamp. The emitter is
connected to CT, the base to the reference output, and the
collector to ground. This will limit the maximum charge
voltage across CT to less than 2.0 V. With the use of current
limiting, saturation of the storage inductor may be prevented
as well as achieving a soft startup.
In practice the current limit circuit will somewhat modify the
charging slope and peak amplitude of CT each time the output
switch is required to conduct. This is because the threshold
voltage of the current limit sense circuit exhibits a “soft”
voltage turn−on characteristic and has a turn−off time delay
that causes some overshoot. The 330 mV threshold is defined
where the charge and discharge currents are of equal value with
VCC = 5.0 V, as shown in Figure 6. The current limit sense
circuit can be disabled by connecting the Ipk Sense pin to VCC.
To aid in system design flexibility, the driver collector,
output switch collector and emitter are pinned out
separately. This allows the designer the option of driving the
output switch transistor into saturation with a selected
forced gain or driving it near saturation when connected as
a Darlington. The output switch has a typical current gain of
70 at 1.0 A and is designed to switch a maximum of 40 V
collector−to−emitter, with up to 1.5 A peak collector current.
The μA78S40 has the additional features of an on−chip
uncommitted operational amplifier and catch diode. The op
amp is a high gain single supply type with an input
common−mode voltage range that includes ground. The output
is capable of sourcing up to 150 mA and sinking 35 mA. A
separate VCC pin is provided in order to reduce the
integrated circuit standby current and is useful in low power
applications if the operational amplifier is not incorporated
into the main switching system. The catch diode is
constructed from a lateral PNP transistor and is capable of
blocking up to 40 V and will conduct current up to 1.5 A.
There is, however, a “catch” when using it.
Q1
+Vin
−Vout
D1
μA78S40
L
+
Co
RL
c. Voltage−Inverting |Vout| Vin
Figure 7. Basic Switching Regulator Configurations
Because the integrated circuit substrate is common with the
internal and external circuitry ground, the cathode of the diode
cannot be operated much below ground or forward biasing of
the substrate will result. This totally eliminates the diode from
being used in the basic voltage inverting configuration as in
Figure 15, since the substrate, pin 11, is common to ground.
The diode can be considered for use only in low power
converter applications where the total system component
count must be held to a minimum. The substrate current will
be about 10 percent of the catch diode current in the step−up
configuration and about 20 percent in the step−down and
voltage−inverting in which pin 11 is common to the negative
output. System efficiency will suffer when using this diode
and the package dissipation limits must be observed.
STEP−DOWN SWITCHING
REGULATOR OPERATION
Shown in Figure 7a is the basic step−down switching
regulator. Transistor Q1 interrupts the input voltage and
provides a variable duty cycle squarewave to a simple LC
filter. The filter averages the squarewaves producing a dc
output voltage that can be set to any level less than the input
by controlling the percent conduction time of Q1 to that of
the total switching cycle time. Thus,
ǒ
Ǔ
ton
Vout + Vinǒ% tonǓ or Vout + Vin
ton ) toff
The MC34063/μA78S40 achieves regulation by varying
the on−time and the total switching cycle time. An
explanation of the step−down converter operation is as
follows: Assume that the transistor Q1 is off, the inductor
current IL is zero, and the output voltage Vout is at its nominal
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AN920/D
value. The output voltage across capacitor Co will
eventually decay below nominal because it is the only
component supply current into the external load RL. This
voltage deficiency is monitored by the switching control
circuit and causes it to drive Q1 into saturation. The inductor
current will start to flow from Vin through Q1 and, Co in
parallel with RL, and rise at a rate of ΔI/ΔT = V/L. The
voltage across the inductor is equal to Vin − Vsat − Vout and
the peak current at any instant is:
IL +
The off−time, toff, is the time that diode D1 is in
conduction and it is determined by the time required for the
inductor current to return to zero. The off−time is not related
to the ramp−down time of CT. The cycle time of the LC
network is equal to ton(max) + toff and the minimum operating
frequency is:
1
fmin +
ton(max) ) toff
A minimum value of inductance can now be calculated for
L. The known quantities are the voltage across the inductor
and the required peak current for the selected switch
conduction time.
ǒVin * VsatL * VoutǓ t
At the end of the on−time, Q1 is turned off. As the magnetic
field in the inductor starts to collapse, it generates a reverse
voltage that forward biases D1, and the peak current will
decay at a rate of ΔI/ΔT = V/L as energy is supplied to Co and
RL. The voltage across the inductor during this period is equal
to Vout + VF of D1, and the current at any instant is:
IL + IL(pk) *
V * Vsat * Vout
Lmin + in
ton
Ipk(switch)
This minimum value of inductance was calculated by
assuming the onset of continuous conduction operation with
a fixed input voltage, maximum output current, and a
minimum charge−current oscillator.
The net charge per cycle delivered to the output filter
capacitor Co, must be zero, Q+ = Q−, if the output voltage
is to remain constant. The ripple voltage can be calculated
from the known values of on−time, off−time, peak inductor
current, and output capacitor value.
ǒVoutL) VFǓ t
Assume that during quiescent operation the average
output voltage is constant and that the system is operating in
the discontinuous mode. Then IL(peak) attained during ton
must decay to zero during toff and a ratio of ton to toff can be
determined.
ǒ
Ǔ
ǒ
Vripple(p−p) +
Ǔ
Vin * Vsat * Vout
V
) VF
ton + out
toff
L
L
where i t +
tonń2
and iȀ t +
Ť
t2
iȀ t dt
t1
1
I t
2 pk
toffń2
Ť
Ť
Ť
Ipk (tonń2)2
Ipk (toffń2)2
+ 1
) 1
2
2
Co ton
Co toff
+
IL(pk)(ton ) toff)
+ Iout (ton ) toff)
2
Ipk (ton ) toff)
8 Co
A graphical derivation of the peak−to−peak ripple voltage
can be obtained from the capacitor current and voltage
waveforms in Figure 8.
The calculations shown account for the ripple voltage
contributed by the ripple current into an ideal capacitor. In
practice, the calculated value will need to be increased due to
the internal equivalent series resistance ESR of the capacitor.
The additional ripple voltage will be equal to Ipk(ESR).
Increasing the value of the filter capacitor will reduce the
output ripple voltage. However, a point of diminishing return
will be reached because the comparator requires a finite
voltage difference across its inputs to control the latch. This
voltage difference to completely change the latch states is
about 1.5 mV and the minimum achievable ripple at the output
will be the feedback divider ratio multiplied by 1.5 mV or:
NIL(pk) + 2 Iout
The peak inductor current is also equal to the peak switch
current Ipk(switch) since the two are in series. The on−time, ton,
is the maximum possible switch conduction time. It is equal
to the time required for CT to ramp up from its lower to upper
threshold. The required value for CT can be determined by
using the minimum oscillator charging current and the
typical value for the oscillator voltage swing both taken
from the data sheet electrical characteristics table.
ǒ Ǔ
CT + Ichg(min) Dt
DV
ǒ Ǔ
10− 5 ton
1
I t
2 pk
ǒC1oǓ ŕ
Substituting for t1 and t2 − t1 yields:
ǒIL(pk)
Ǔ ton ) ǒIL(pk)
Ǔ toff + ǒIout tonǓ ) ǒIout toffǓ
2
2
+ 4.0
i t dt )
Ipk t2 t1
Ipk t2 t2
+ 1
) 1
t
Co on 2 0
Co toff 2 t1
t
t
And t1 + on and t2 * t1 + off
2
2
Note that the volt−time product of ton must be equal to that
of toff and the inductance value is not of concern when
determining their ratio. If the output voltage is to remain
constant, the average current into the inductor must be equal
to the output current for a complete cycle. The peak inductor
current with respect to output current is:
t
10− 6 on
0.5
t1
0
Vout ) VF
t
N on +
Vin * Vsat * Vout
toff
+ 20
ǒC1oǓ ŕ
V
Vripple(p−p)min + out (1.5
Vref
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10− 3)
AN920/D
Voltage Across
Switch Q1
VCE
Voltage Across
Diode D1
VKA
Vin + VF
Vin
Vsat
0
Vin
Vin − Vsat
0
VF
Ipk
Switch Q1
Current
Iin = IC(AVG)
0
Ipk
Diode D1
Current
ID(AVG)
0
Ipk
Iout = Ipk/2 = IC(AVG) + ID(AVG)
Capacitor Co
Current
0
−Ipk/2
Capacitor Co
Ripple Voltage
ÌÌÌÌ ÏÏÌÌ
ÌÌÌÌÌÌÌÏÏÌÌ
ÌÌÌ
Q+
1/2 Ipk/2
Q−
toff/2
0
+Ipk/2
ton/2
Inductor
Current
Vout + Vpk
Vout
Vripple(p−p)
Vout − Vpk
t0 t1
t2
Figure 8. Step−Down Switching Regulator Waveforms
This problem becomes more apparent in a step−up
converter with a high output voltage. Figures 12 and 13 show
two different ripple reduction techniques. The first uses the
μA78S40 operational amplifier to drive the comparator in the
feedback loop. The second technique uses a Zener diode to
level shift the output down to the reference voltage.
1. Determine the ratio of switch conduction ton versus
diode conduction toff time.
ton
Vout ) VF
+
Vin(min) * Vsat * Vout
toff
+
5.0 ) 0.8
21.6 * 0.8 * 5.0
+ 0.37
Step−Down Switching Regulator Design Example
2. The cycle time of the LC network is equal to ton(max)
+ toff.
A schematic of the basic step−down regulator is shown
in Figure 9. The μA78S40 was chosen in order to
implement a minimum component system, however, the
MC34063 with an external catch diode can also be used.
The frequency chosen is a compromise between switching
losses and inductor size. There will be a further discussion
of this and other design considerations later. Given are the
following:
Vout = 5.0 V
Iout = 50 mA
fmin = 50 kHz
Vin(min) = 24 V − 10% or 21.6 V
Vripple(p−p) = 0.5% Vout or 25 mVp−p
ton(max) ) toff + 1
fmin
+
1
50
103
+ 20 ms per cycle
3. Next calculate ton and toff from the ratio of ton/toff in
#1 and the sum of ton + toff in #2. By using
substitution and some algebraic gymnastics, an
equation can be written for toff in terms of ton/toff and
ton + toff.
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The equation is:
toff +
Note that the ratio of ton/(ton + toff) does not exceed
the maximum of 6/7 or 0.857. This maximum is
defined by the 6:1 ratio of charge−to−discharge
current of timing capacitor CT (refer to Figure 3).
4. The maximum on−time, ton(max), is set by selecting
a value for CT.
ton(max) ) toff
ton
)1
t
off
+
20 10− 6
0.37 ) 1
10− 5 ton
CT + 4.0
+ 14.6 ms
Since ton(max) ) toff + 20 ms
10− 5 (5.4
+ 4.0
ton(max) + 20 ms * 14.6 ms
10− 6)
+ 216 pF
Use a standard 220 pF capacitor.
+ 5.4 ms
Vin = 24 V
47
+
Rsc
R2
R1
36 k
12 k
2.7
CT
220 pF
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
5
4
3
2
1
1N5819
*
853 μH
Vout
5 V/50 mA
L
Co
27
Test
Conditions
+
Results
Line Regulation
Vin = 18 to 30 V, Iout = 50 mA
Δ = 16 mV or ± 0.16%
Load Regulation
Vin = 24 V, Iout = 25 to 50 mA
Δ = 28 mV or ± 0.28%
Output Ripple
Vin = 21.6 V, Iout = 50 mA
Short Circuit Current
Vin = 24 V, RL = 0.1 Ω
Efficiency, Internal Diode
Vin = 24 V, Iout = 50 mA
45.3%
Efficiency, External Diode*
Vin = 24 V, Iout = 50 mA
72.6%
24 mVp−p
105 mA
Figure 9. Step−Down Design Example
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9. The nominal output voltage is programmed by the
R1, R2 resistor divider. The output voltage is:
5. The peak switch current is:
Ipk(switch) + 2 Iout
+ 2 (50
ǒ
The divider current can go as low as 100 μA without
affecting system performance. In selecting a
minimum current divider R1 is equal to:
+ 100 mA
6. With knowledge of the peak switch current and
maximum on time, a minimum value of inductance
can be calculated.
Lmin +
R1 +
* Vsat * Vout
ǒVin(min)Ipk(switch)
Ǔ ton(max)
ǒ
Ǔ
+ 21.6 * 0.8 * 5.0 5.4
100 10− 3
R2 + R1
R2 + 12
Ǔ
ǒ
Ǔ
+ 36 k
0.33
IȀpk(switch)
115
0.33
10− 3
This value may have to be adjusted downward to
compensate for conversion losses and any increase
in Ipk(switch) current if Vin varies upward. Do not set
Rsc to exceed the maximum Ipk(switch) limit of 1.5 A
when using the internal switch transistor.
8. A minimum value for an ideal output filter capacitor
can now be obtained.
+
Vout + Vin
8 (25
t
ǒtton
Ǔ
) Vin or Vout + Vin ǒ on ) 1Ǔ
toff
off
An explanation of the step−up converter’s operation is as
follows. Initially, assume that transistor Q1 is off, the
inductor current is zero, and the output voltage is at its
nominal value. At this time, load current is being supplied
only by Co and it will eventually fall below nominal. This
deficiency will be sensed by the control circuit and it will
initiate an on−cycle, driving Q1 into saturation. Current will
start to flow from Vin through the inductor and Q1 and rise
at a rate of ΔI/ΔT = V/L. The voltage across the inductor is
equal to Vin − Vsat and the peak current is:
Ipk(switch) (ton ) toff)
8 Vripple(p−p)
0.1 (20
5.0 * 1Ǔ
ǒ1.25
STEP−UP SWITCHING REGULATOR OPERATION
The basic step−up switching regulator is shown in Figure
7b and the waveform is in Figure 10. Energy is stored in the
inductor during the time that transistor Q1 is in the “on”
state. Upon turn−off, the energy is transferred in series with
Vin to the output filter capacitor and load. This configuration
allows the output voltage to be set to any value greater than
that of the input by the following relationship:
+ 2.86 W, use 2.7 W
Co +
103
Using the above derivation, the design is optimized to
meet the assumed conditions. At Vin(min), operation is at the
onset of continuous mode and the output current capability
will be greater than 50 mA. At Vin(nom) i.e., 24 V, the current
limit will activate slightly above the rated Iout of 50 mA.
10− 6
+ 115 mA
+
out * 1Ǔ
ǒV1.25
If a standard 5% tolerance 12 k resistor is chosen for
R1, R2 will also be a standard value.
V * Vsat * Vout
IȀpk(switch) + in
ton(max)
Lmin
+ 24 * 0.8 * 5.0 5.4
853 10− 6
1.25
10− 6
Rearranging the above equation so that R2 can be
solved yields:
10− 6
7. A value for the current limit resistor, Rsc, can be
determined by using the current level of Ipk(switch)
when Vin = 24 V.
Rsc +
100
+ 12, 500 W
+ 853 mH
ǒ
Ǔ
Vout + 1.25 R2 ) 1
R1
10− 3)
10− 6)
10− 3)
+ 10 mF
Ideally this would satisfy the design goal, however,
even a solid tantalum capacitor of this value will
have a typical ESR (equivalent series resistance) of
0.3 Ω which will contribute 30 mV of ripple. The
ripple components are not in phase, but can be
assumed to be for a conservative design. In
satisfying the example shown, a 27 μF tantalum with
an ESR of 0.1 Ω was selected. The ripple voltage
should be kept to a low value since it will directly
affect the system line and load regulation.
IL +
ǒVin *L VsatǓ t
When the on−time is completed, Q1 will turn off and the
magnetic field in the inductor will start to collapse
generating a reverse voltage that forward biases D1,
supplying energy to Co and RL. The inductor current will
decay at a rate of ΔI/ΔT = V/L and the voltage across it is
equal to Vout + VF − Vin. The current at any instant is:
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AN920/D
Voltage Across
Switch Q1
VCE
Diode D1 Voltage
VKA
Vout + VF
Vin
Vsat
0
Vout − Vsat
0
VF
Ipk
Switch Q1
Current
0
Ipk
Diode D1
Current
Iout
0
Ipk
Inductor
Current
Iin = IL(AVG)
0
ÌÌ
ÌÌ
ÑÑ
ÑÑÏÏÏÏÏÌÌÌÌÌÌ
Ipk − Iout
Capacitor Co
Current
1/2(Ipk − Iout)
0
−Iout
Capacitor Co
Ripple Voltage
Q+
toff
t1
Vout + Vpk
Q−
ton
Vripple(p−p)
Vout
Vout − Vpk
Figure 10. Step−Up Switching Regulator Waveforms
IL + IL(pk) *
ǒVout ) VLF * VinǓ t
Figure 10 shows the step−up switching regulator
waveforms. By observing the capacitor current and making
some substitutions in the above statement, a formula for
peak inductor current can be obtained.
Assuming that the system is operating in the
discontinuous mode, the current through the inductor will
reach zero after the toff period is completed. Then IL(pk)
attained during ton must decay to zero during toff and a ratio
of ton to toff can be written.
ǒ
Ǔ
ǒ
ǒIL(pk)
Ǔ toff + Iout (ton ) toff)
2
ǒ
Ǔ
t
IL(pk) + 2 Iout on ) 1
toff
Ǔ
Vin * Vsat
V
) VF * Vin
ton + out
toff
L
L
The peak inductor current is also equal to the peak switch
current, since the two are in series.
With knowledge of the voltage across the inductor during
ton and the required peak current for the selected switch
conduction time, a minimum inductance value can be
determined.
t
V
) VF * Vin
N on + out
Vin * Vsat
toff
Note again, that the volt−time product of ton must be equal
to that of toff and the inductance value does not affect this
relationship.
The inductor current charges the output filter capacitor
through diode D1 only during toff. If the output voltage is to
remain constant, the net charge per cycle delivered to the
output filter capacitor must be zero, Q+ = Q−.
ǒ
Ǔ
Vin * Vsat
Lmin +
t
Ipk(switch) on(max)
The ripple voltage can be calculated from the known
values of on−time, off−time, peak inductor current, output
current and output capacitor value. Referring to the
Ichg toff + Idischg ton
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AN920/D
capacitor current waveforms in Figure 10, t1 is defined as the
capacitor charging interval. Solving for t1 in known terms
yields:
Vout ) VF * Vin(min)
ton
+
Vin(min) * Vsat
toff
+ 28 ) 0.8 * 6.75
6.75 * 0.3
Ipk * Iout
Ipk
+
t1
toff
ǒ
+ 3.42
Ǔ
Ipk * Iout
Nt1 +
toff
Ipk
2. The cycle time of the LC network is equal to ton(max)
+ toff.
And the current during t1 can be written:
ǒ
ton(max) ) toff + 1
fmin
Ǔ
Ipk * Iout
I+
t
t1
+
The ripple voltage is:
Vripple(p−p) +
ǒC1oǓ ŕ
t1
0
3. Next calculate ton and toff from the ratio of ton/toff in
#1 and the sum of ton + toff in #2.
Ť
20 10− 6
toff +
3.42 ) 1
Ipk * Iout t2 t1
+ 1
2 0
t1
Co
+ 4.5 ms
(Ipk * Iout)
+ 1
t1
2
Co
ton + 20 ms * 4.5 ms
Substituting for t1 yields:
+ 15.5 ms
(Ipk * Iout) (Ipk * Iout)
+ 1
toff
2
Ipk
Co
(Ipk * Iout)2 toff
+
2 Ipk Co
Note that the ratio of ton/(ton + toff) does not exceed
the maximum of 0.857.
4. The maximum on−time, ton(max), is set by selecting
a value for CT.
A simplified formula that will give an error of less than 5%
for a voltage step−up greater than 3 with an ideal capacitor
is shown:
Vripple(p−p) [
103
+ 20 ms per cycle
Ipk * Iout
t dt
t1
Ť
1
50
CT + 4.0
+ 4.0
ǒICouto Ǔ ton
10− 5 ton
10− 5 (15.5
10− 6)
+ 620 pF
5. The peak switch current is:
This neglects a small portion of the total Q− area. The area
neglected is equal to:
ǒ
Ǔ
t
Ipk(switch) + 2 Iout on ) 1
toff
I
A + (toff * t1) out
2
+ 2 (50
10− 3) (3.42 ) 1)
+ 442 mA
Step−Up Switching Regulator Design Example
6. A minimum value of inductance can be calculated
since the maximum on−time and peak switch current
are known.
The basic step−up regulator schematic is shown in Figure
11. The μA78S40 again was chosen in order to implement
a minimum component system. The following conditions
are given:
Vout = 28 V
Iout = 50 mA
fmin = 50 kHz
Vin(min) = 9.0 V − 25% or 6.75 V
Vripple(p−p) = 0.5% Vout or 140 mVp−p
1. Determine the ratio of switch conduction ton versus
diode conduction toff time.
Lmin +
+
* Vsat
ǒVin(min)
Ǔ ton
Ipk(switch)
6.75 * 0.3 Ǔ 15.5
ǒ442
10− 3
+ 226 mH
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10− 6
AN920/D
7. A value for the current limit resistor, Rsc, can now be
determined by using the current level of Ipk(switch)
when Vin = 9.0 V.
ǒ
Co [
Ǔ
[
V * Vsat
IȀpk(switch) + in
ton(max)
Lmin
+
ǒ2269.0 *100.3− 6Ǔ 15.5
9
50
140
10− 3
15.5
10− 3
10− 6
[ 50 mF
10− 6
The ripple contribution due to the gain of the
comparator:
+ 597 mA
0.33
Rsc +
IȀpk(switch)
+
9 Iout
t
Vripple(p−p) on
V
Vripple(p−p) + out 1.5
Vref
10− 3
+ 28 1.5
1.25
10− 3
0.33
597 10− 3
+ 33.6 mV
+ 0.55 W, use 0.5 W
A 27 μF tantalum capacitor with an ESR of 0.10 Ω
was again chosen. The ripple voltage due to the
capacitance value is 28.7 mV and 44.2 mV due to
ESR. This yields a total ripple voltage of:
Note that current limiting in this basic step−up
configuration will only protect the switch transistor
from overcurrent due to inductor saturation. If the
output is severely overloaded or shorted, D1, L, or
Rsc may be destroyed since they form a direct path
from Vin to Vout. Protection may be achieved by
current limiting Vin or replacing the inductor with
1:1 turns ratio transformer.
8. An approximate value for an ideal output filter
capacitor is:
V
Eripple(p−p) + out 1.5
Vref
I
10− 3 ) out ton ) Ipk ESR
Co
+ 33.6 mV ) 28.7 mV ) 44.2 mV
+ 107 mV
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AN920/D
Vin = 9 V
+
47
226 μH
Rsc
R2
R1
47 k
2.2 k
0.5
CT
620 pF
9
10
11
GND
CT
OSC
12
13
VCC
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
240
7
6
5
4
3
2
1
1N5819
*
Co
27
Test
Conditions
+
Vout
5 V/50 mA
Results
Line Regulation
Vin = 6.0 to 12 V, Iout = 50 mA
Δ = 120 mV or ± 0.21%
Load Regulation
Vin = 9.0 V, Iout = 25 to 50 mA
Δ = 50 mV or ± 0.09%
Output Ripple
Vin = 6.75 V, Iout = 50 mA
90 mVp−p
Efficiency, Internal Diode
Vin = 9.0 V, Iout = 50 mA
62.2%
Efficiency, External Diode*
Vin = 9.0 V, Iout = 50 mA
74.2%
Figure 11. Step−Up Design Example
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AN920/D
Vin
L
Rsc
CT
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
5
4
3
2
1
R2
R1
Figure 12. mA78S40 Ripple Reduction Technique
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Vout
+
Co
AN920/D
The current required to drive the internal 170 Ω
base−emitter resistor is:
L
I170 W +
8
1
S
Q
Vin
The driver collector current is equal to sum of 22.1 mA
+ 4.1 mA = 26.2 mA. Allow 0.3 V for driver
saturation and 0.2 V for the drop across Rsc (0.5 ×
442 mA Ipk).
Then the driver collector resistor is equal to:
2
Ipk
6
+ 4.1 mA
Q1
7
Rsc
+ 0.7
170
Q2
R
OSC
D1
CT
VCC
3
1.25 V
Reference
Regulator
+
Comp
−
5
GND
Rdriver +
CT
+
VZ = Vout − 1.25 V
+
Co
9. The nominal output voltage is programmed by the
R1, R2 divider.
Ǔ
Vout + 1.25 1 ) R2
R1
Vout + Vin
A standard 5% tolerance, 2.2 k resistor was selected
for R1 so that the divider current is about 500 μA.
R1 +
500
1.25
10− 6
out * 1Ǔ
ǒV1.25
+ 2200
(Vin * Vsat) ton + (|Vout| ) VF) toff
28 * 1Ǔ
ǒ1.25
|Vout| ) VF
t
N on +
Vin * Vsat
toff
+ 47, 080 W, use 47 k
The derivations and the formulas for Ipk(switch), Lmin, and
Co are the same as that of the step−up converter.
10. In this design example, the output switch transistor
is driven into saturation with a forced gain of 20 at
an input voltage of 7.0 V. The required base drive is:
IB +
+
Ipk(switch)
Bf
442
ǒtton
Ǔ
off
The voltage−inverting converter operates almost
identically to that of the step−up previously discussed. The
voltage across the inductor during ton is Vin − Vsat but during
toff the voltage is equal to the negative magnitude of Vout +
VF. Remember that the volt−time product of ton must be
equal to that of toff, a ratio of ton to toff can be determined.
+ 2500 W, use 2.2 k
Then R2 + R1
7.0 * 0.3 * 0.2
(22.1 ) 4.1) 10− 3
VOLTAGE−INVERTING SWITCHING
REGULATOR OPERATION
The basic voltage−inverting switching regulator is shown
in Figure 7c and the operating waveforms are in Figure 14.
Energy is stored in the inductor during the conduction time
of Q1. Upon turn−off, the energy is transferred to the output
filter capacitor and load. Notice that in this configuration the
output voltage is derived only from the inductor. This allows
the magnitude of the output to be set to any value. It may be
less than, equal to, or greater than that of the input and is set
by the following relationship:
Figure 13. MC34063 Ripple Reduction Technique
ǒ
Vin * Vsat(driver) * VRSC
IB ) I170 W
+ 248 W, use 240 W
4
Vout
R1
VBE(switch)
170
10− 3
20
+ 22.1 mA
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AN920/D
Vin
Vsat
0
Voltage Across
Switch Q1
VCE
Vin − (−Vout + VF)
(Vin − Vsat) + Vout
Diode D1 Voltage
VKA
0
VF
Ipk
Switch Q1
Current
Iin = IC(AVG)
0
Ipk
Diode D1
Current
Iout
0
Ipk
Inductor
Current
0
Ipk − Iout
Capacitor Co
Current
ÌÌÌ
ÑÑÑ ÌÌÌ
ÑÑÑÏÏÏÏÌÌÌÌÌÌÌ
1/2(Ipk − Iout)
0
−Iout
Capacitor Co
Ripple Voltage
Q+
toff
t1
−Vout + Vpk
Q−
ton
Vripple(p−p)
Vout
−Vout − Vpk
Figure 14. Voltage−Inverting Switching Regulator Waveforms
Voltage−Inverting Switching Regulator Design Example
2. The cycle time of the LC network is equal to ton(max)
+ toff.
A circuit diagram of the basic voltage−inverting regulator
is shown in Figure 15.
The μA78S40 was selected for this design since it has the
reference and both comparator inputs pinned out. The
following operating conditions are given:
Vout = −15 V
Iout = 500 mA
fmin = 50 kHz
Vin(min) = 15 V − 10% or 13.5 V
Vripple(p−p) = 0.4% Vout or 60 mVp−p
1. Determine the ratio of switch conduction ton versus
diode conductions toff time.
ton(max) ) toff + 1
fmin
+
50
1
10− 3
+ 20 ms
3. Calculate ton and toff from the ratio of ton/toff in #1
and the sum of ton + toff in #2.
20 10− 6
toff +
1.24 ) 1
+ 8.9 ms
|Vout| ) VF
ton
+
Vin * Vsat
toff
ton + 20 ms * 8.9 ms
+ 11.1 ms
+ 15 ) 0.8
13.5 * 0.8
+ 1.24
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AN920/D
Note again that the ratio of ton/(ton + toff) does not
exceed the maximum of 0.857.
Vin = 15 V
100
R2
36 k
+
Q2
MPS
U51A
Rsc
CT
430 pF
9
10
11
GND
CT
OSC
12
13
VCC
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
RB
160
160
7
6
1N5822
5
4
3
2
Vout
−15 V/0.5 A
1
L
66.5 μH
Co
470
+
R1
3.0 k
*
RBE
0.12
Co
470
+
* Heatsink, IERC PSC2−3CB
Test
Conditions
Results
Line Regulation
Vin = 12 to 16 V, Iout = 0.5 A
Δ = 3.0 mV or ± 0.01%
Load Regulation
Vin = 15 V, Iout = 0.1 to 0.5 A
Δ = 27 mV or ± 0.09%
Output Ripple
Vin = 13.5 V, Iout = 0.5 A
Short Circuit Current
Vin = 15 V, RL = 0.1 Ω
2.5 A
Efficiency
Vin = 15 V, Iout = 0.5 A
80.6%
35 mVp−p
Figure 15. Voltage−Inverting Design Example
4. A value of CT must be selected in order to set
ton(max).
CT + 4.0
+ 4.0
10− 5 ton
10− 5 (11.1
ǒ
Ǔ
t
Ipk(switch) + 2 Iout on ) 1
toff
+ 2 (500
10− 6)
10− 3) (1.24 ) 1)
+ 2.24 A
6. The minimum required inductance value is:
+ 444 pF, use 430 pF
5. The peak switch current is:
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AN920/D
Lmin +
* Vsat
ǒVin(min)
Ǔ ton
Ipk(switch)
ǒ
Ǔ
+ 13.5 * 0.8 11.1
2.24
+ 66.5 mH
also be at ground potential when Vout is in regulation.
The magnitude of Vout is:
|Vout| + 1.25 R2
R1
10− 6
A divider current of about 400 μA was desired for
this example.
7. The current−limit resistor value was selected by
determining the level of Ipk(switch) for Vin = 16.5 V.
IȀpk(switch) +
+
R1 +
ǒVinL*minVsatǓ ton
16.5 * 0.8 Ǔ 11.1
ǒ66.5
10− 6
Then R2 +
10− 6
+ 36 k
+ 0.13 W, use 0.12 W
IB +
8. An approximate value for an ideal output filter
capacitor is:
Ǔ
+ 64 mA
The value for the base−emitter turn−off resistor RBE
is determined by:
10− 6
RBE +
[ 92.5 mF
The ripple contribution due to the gain of the
comparator is:
Vripple(p−p) +
|Vout|
1.5
Vref
+ 15 1.5
1.25
+
10− 3
10 (35)
2.24
The additional base current required due to RBE is:
10− 3
IRBE +
VBE (Q2)
RBE
+ 0.8
160
For a given level of ripple, the ESR of the output filter
capacitor becomes the dominant factor in choosing
a value for capacitance. Therefore two 470 μF
capacitors with an ESR of 0.020 Ω each was chosen.
The ripple voltage due to the capacitance value is
5.9 mV and 22.4 mV due to ESR. This yields a total
ripple voltage of:
|Vout|
1.5
Vref
10 Bf
Ipk(switch)
+ 156.3 W, use 160 W
+ 18 mV
Eripple(p−p) +
Ipk(switch)
Bf
+ 2.24
35
Iout
Co [
t
Vripple(p−p) on
0.5
11.1
60 10− 3
10− 3
10. Output switch transistor Q2 is driven into a soft
saturation with a forced gain of 35 at an input voltage
of 13.5 V in order to enhance the turn−off switching
time. The required base drive is:
+ 0.33
2.62
[
|Vout|
R1
1.25
+ 15 3.0
1.25
0.33
IȀpk(switch)
ǒ
1.25
10− 6
+ 3,125 W, use 3.0 k
+ 2.62 A
Rsc +
400
+ 5.0 mA
Then IB (Q2) is equal to the sum of 64 mA + 5.0 mA
= 69 mA. Allow 0.8 V for the IC driver saturation
and 0.3 V for the drop across Rsc (0.12 × 2.24 A Ipk).
Then the base driver resistor is equal to:
I
10− 3 ) out ton ) Ipk ESR
Co
RB +
Vin(min) * Vsat(IC) * VRSC * VBE(Q2)
IB ) I160 W
+ 13.5 * 0.8 * 0.3 * 1.0
(64 ) 5) 10− 3
+ 165.2 W, use 160 W
+ 18 mV ) 5.9 mV ) 22.4 mV
+ 46.3 mV
9. The nominal output voltage is programmed by the
R1, R2 divider. Note that with a negative output
voltage, the inverting input of the comparator is
referenced to ground. Therefore, the voltage at the
junction of R1, R2 and the noninverting input must
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AN920/D
STEP UP/DOWN SWITCHING
REGULATOR OPERATION
When designing at the board level it sometimes becomes
necessary to generate a constant output voltage that is less
than that of the battery. The step−down circuit shown in
Figure 16a will perform this function efficiently. However,
as the battery discharges, its terminal voltage will eventually
fall below the desired output, and in order to utilize the
remaining battery energy the step−up circuit shown in
Figure 16b will be required.
+Vin
Q1
+Vout
L
D1
Co
+
a. Step−Down Vout Vin
+Vin
L
General Applications
Q2
By combining circuits a and b, a unique step−up/down
configuration can be created (Figure 17) which still employs
a simple inductor for the voltage transformation. Energy is
stored in the inductor during the time that transistors Q1 and
Q2 are in the “on” state. Upon turn−off, the energy is
transferred to the output filter capacitor and load forward
biasing diodes D1 and D2. Note that during ton this circuit
is identical to the basic step−up, but during toff the output
voltage is derived only from the inductor and is with respect
to ground instead of Vin. This allows the output voltage to be
set to any value, thus it may be less than, equal to, or greater
than that of the input. Current limit protection cannot be
employed in the basic step−up circuit. If the output is
severely overloaded or shorted, L or D2 may be destroyed
since they form a direct path from Vin to Vout. The
step−up/down configuration allows the control circuit to
implement current limiting because Q1 is now in series with
Vout, as is in the step−down circuit.
+Vout
D2
Co
+
b. Step−Up Vout Vin
Figure 16. Basic Switching Regulator Configurations
+Vin
Q1
L
D1
+Vout
D2
Q2
Co
+
b. Step−Up/Down Vout Vin
Figure 17. Combined Configuration
1. Determine the ratio of switch conduction ton versus
diode conduction toff time.
Step−Up/Down Switching Regulator Design Example
ton
Vout ) VFD1 ) VFD2
+
toff
Vin(min) * VsatQ1 * VsatQ2
A complete step−up/down switching regulator design
example is shown in Figure 18. This regulator was designed
to operate from a standard 12 V battery pack with the
following conditions:
Vin = 7.5 to 14.5 V
Vout = 10 V
fmin = 50 kHz
Iout = 120 mA
Vripple(p−p) = 1% Vout or 100 mVp−p
The following design procedure is provided so that the
user can select proper component values for his specific
converter application.
+ 10 ) 0.6 ) 0.6
7.5 * 0.8 * 0.8
+ 1.9
2. The cycle time of the LC network is equal to ton(max)
+ toff.
ton(max) ) toff + 1
fmin
1
50 103
+ 20 ms per cycle
+
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AN920/D
3. Next calculate ton and toff from the ratio of ton/toff in
#1 and the sum of ton(max) + toff in #2.
toff +
6. A minimum value of inductance can now be
calculated since the maximum on−time and peak
switch current are known.
ton(max) ) toff
ton
)1
t
Lmin +
off
+
20 10− 6
1.9 ) 1
ǒ
ton + 20 ms * 6.9 ms
4. The maximum on−time is set by selecting a value for
CT.
10− 5 ton(max)
10− 5 (13.1
IȀpk(switch) +
10− 6)
ǒ
Use a standard 510 pF capacitor.
5. The peak switch current is:
+ 1.41 A
Ǔ
t
Ipk(switch) + 2 Iout on ) 1
toff
+ 2 (120
* VsatQ2
ǒVin * VsatQ1
Ǔ ton(max)
Lmin
Ǔ
+ 14.5 * 0.8 * 0.8 13.1
120 10− 6
+ 524 pF
ǒ
10− 6
A 120 μH inductor was selected for Lmin.
7. A value for the current limit resistor, Rsc, can be
determined by using the current limit level of
Ipk(switch) when Vin = 14.5 V.
+ 13.1 ms
+ 4.0
Ǔ
+ 7.5 * 0.8 * 0.8 13.1
696 10− 3
+ 111 mH
+ 6.9 ms
CT + 4.0
VsatQ1 * VsatQ2
ǒVin(min) *Ipk(switch)
Ǔ ton
10− 3) (1.9 ) 1)
+ 696 mA
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10− 6
AN920/D
Vout
10 V/120 mA
D1
1N5818
RBE
300
D2
1N5818
120 μH
Q1
MPSU51A
Co
330
RB
150
8
1
S
Q
Q2
R
170
7
Ipk
Rsc
0.22
Vin
7.5 to 14.5 V
6
+
+
OSC
2
CT
VCC
3
+
100
Comp
−
5
1.25 V
Reference
Regulator
MC34063
GND
CT
510 pF
4
R2
9.1 k
R1
1.3 k
Conditions
Test
Results
Line Regulation
Vin = 7.5 to 14.5 V, Iout = 120 mA
Δ = 22 mV or ± 0.11%
Load Regulation
Vin = 12.6 V, Iout = 10 to 120 mA
Δ = 3.0 mV or ± 0.015%
Output Ripple
Vin = 12.6 V, Iout = 120 mA
Short Circuit Current
Vin = 12.6 V, RL = 0.1 Ω
Efficiency
Vin = 7.5 to 14.5 V, Iout = 120 mA
95 mVp−p
1.54 A
74%
Figure 18. Step−Up/Down Switching Regulator Design Example
Rsc +
Ideally this would satisfy the design goal, however,
even a solid tantalum capacitor of this value will
have a typical ESR (equivalent series resistance) of
0.3 Ω which will contribute an additional 209 mV of
ripple. Also there is a ripple component due to the
gain of the comparator equal to:
0.33
IȀpk(switch)
+ 0.33
1.41
+ 0.23 W
Use a standard 0.22 Ω resistor.
8. A minimum value for an ideal output filter capacitor
is:
Co [
[
Iout
ǒVripple(p−p)
Ǔ ton
ǒ120
100
Ǔ
10− 3
13.1
10− 3
Vripple(p−p) +
ǒVVout
Ǔ 1.5
ref
10− 3
+
10 Ǔ 1.5
ǒ1.25
10− 3
+ 12 mV
10− 6
The ripple components are not in phase, but can be
assumed to be for a conservative design. From the
above it becomes apparent that ESR is the dominant
[ 15.7 mF
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AN920/D
DESIGN CONSIDERATIONS
As previously stated, the design equations for Lmin were
based upon the assumption that the switching regulator is
operating on the onset of continuous conduction with a fixed
input voltage, maximum output load current, and a
minimum charge−current oscillator. Typically the oscillator
charge−current will be greater than the specific minimum of
20 microamps, thus ton will be somewhat shorter and the
actual LC operating frequency will be greater than predicted.
Also note that the voltage drop developed across the
current−limit resistor Rsc was not accounted for in the ton/toff
and Lmin design formulas. This voltage drop must be
considered when designing high current converters that
operate with an input voltage of less than 5.0 V.
When checking the initial switcher operation with an
oscilloscope, there will be some concern of circuit instability
due to the apparent random switching of the output. The
oscilloscope will be difficult to synchronize. This is not a
problem. It is a normal operating characteristic of this type
of switching regulator and is caused by the asynchronous
operation of the comparator to that of the oscillator. The
oscilloscope may be synchronized by varying the input
voltage or load current slightly from the design nominals.
High frequency circuit layout techniques are imperative
with switching regulators. To minimize EMI, all high
current loops should be kept as short as possible using heavy
copper runs. The low current signal and high current switch
and output grounds should return on separate paths back to
the input filter capacitor. The R1, R2 output voltage divider
should be located as close to the IC as possible to eliminate
any noise pick−up into the feedback loop. The circuit
diagrams were purposely drawn in a manner to depict this.
All circuits used molypermalloy power toroid cores for
the magnetics where only the inductance value is given. The
number of turns, wire and core size information is not given
since no attempt was made to optimize their design. Inductor
and transformer design information may be obtained from
the magnetic core and assembly companies listed on the
switching regulator component source table.
In some circuit designs, mainly step−up and
voltage−inverting, a ratio of ton/(ton + toff) greater than
0.857 may be required. This can be obtained by the addition
of the ratio extender circuit shown in Figure 19. This circuit
uses germanium components and is temperature sensitive.
A negative temperature coefficient timing capacitor will
help reduce this sensitivity. Figure 20 shows the output
switch on and off time versus CT with and without the ratio
extender circuit. Notice that without the circuit, the ratio of
ton/(ton + toff) is limited to 0.857 only for values of CT greater
than 2.0 nF. With the circuit, the ratio is variable depending
upon the value chosen for CT since toff is now nearly a
constant. Current limiting must be used on all step−up and
voltage−inverting designs using the ratio extender circuit.
This will allow the inductor time to reset between cycles of
overcurrent during initial power up of the switcher. When
factor in the selection of an output filter capacitor. A
330 μF with an ESR of 0.12 Ω was selected to satisfy
this design example by the following:
Vripple(p−p) * ǒ CoutǓ ton * ǒV out Ǔ 1.5
I
ESR [
V
10− 3
Ref
o
Ipk(switch)
9. The nominal output voltage is programmed by the
R1, R2 resistor divider.
R2 + R1
+ R1
out * 1Ǔ
ǒVVRef
10 * 1Ǔ
ǒ1.25
+ 7 R1
If 1.3 k is chosen for R1, then R2 would be 9.1 k, both
being standard resistor values.
10. Transistor Q1 is driven into saturation with a forced
gain of approximately 20 at an input voltage of 7.5 V.
The required base drive is:
IB +
+
Ipk(switch)
Bf
696 10− 3
20
+ 35 mA
The value for the base−emitter turn−off resistor RBE
is determined by:
RBE +
10 Bf
Ipk(switch)
10 (20)
696 10− 3
+ 287 W
+
A standard 300 Ω resistor was selected.
The additional base current required due to RBE is:
V
IRBE + BEQ1
RBE
+ 0.8
300
+ 3.0 mA
The base drive resistor for Q1 is equal to:
RB +
Vin(min) * Vsat(driver) * VRSC * VBEQ1
IB ) IRBE
+ 7.5 * 0.8 * 0.15 * 0.8
(35 ) 3) 10− 3
+ 151 W
A standard 150 Ω resistor was used.
The circuit performance data shows excellent line and
load regulation. There is some loss in conversion efficiency
over the basic step−up or step−down circuits due to the
added switch transistor and diode “on” losses. However, this
unique converter demonstrates that with a simple inductor,
a step−up/down converter with current limiting can be
constructed.
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21
AN920/D
ton−toff, Output Switch On−Off Time (μs)
the output filter capacitor reaches its nominal voltage, the
voltage feedback loop will control regulation.
Vin = 5 V
8
1
S
ton
Q
R
170
7
Ipk
6
+
OSC
2
CT
−
1.25 V
Reference
Regulator
ton
toff
10
toff
0
CT
2N524
4
ton
Without Ratio Extender Circuit
With Ratio Extender Circuit
0
1.0
10
CT, Oscillator Timing Capacitor (nF)
Figure 20. Output Switch On−Off Time versus
Oscillator Timing Capacitor
1N270
3
+
Comp
To Scope
Comparator Noninverting Input = Vref
Comparator Inverting Input = GND
VCC = 5 V; Ipk(sense) = VCC
TA = 25°C
100
100
VCC
10
5
toff
1000
ton
toff Ratio
Extender
Circuit
Figure 19. Output Switch On−Off Time Test Circuit
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22
100
AN920/D
APPLICATIONS SECTION
Listed below is an index of all the converter circuits shown
in this application note. They are categorized into three
major groups based upon the main output configuration.
Each of these circuits was constructed and tested, and a
performance table is included.
INDEX OF CONVERTER CIRCUITS
Main Output Configuration
Input V
Output 1
V/mA
Output 2
V/mA
Output 3
V/mA
Figure
No.
Step−Down
μA78S40
Low Power with Minimum Components
24
5/50
−
−
9
MC34063
Medium Power
36
12/750
−
−
21
MC34063
Buffered Switch and Second Output
28
5.0/5000
12/300
−
22
μA78S40
Linear Pass from Main Output
33
24/500
15/50
−
23
μA78S40
Buffered Switch and Buffered Linear Pass from Main Output
28
15/3000
12/1000
−
24
μA78S40
Negative Input and Negative Output
−28
−12/500
−
−
25
μA78S40
Low Power with Minimum Components
9.0
28/50
−
−
11
MC34063
Medium Power
12
36/225
−
−
26
MC34063
High Voltage, Low Power
4.5
190/5.0
−
−
27
μA78S40
High Voltage, Medium Power Photoflash
4.5
334/45
−
−
28
μA78S40
Linear Pass from Main Output
2.5
9.0/100
6/30
−
29
μA78S40
Buffered Linear Pass from Main Output EE PROM Programmer
4.5
See
Circuit
−
−
30
μA78S40
Buffered Switch and Buffered Linear Pass from Main Output
4.5
15/1000
12/500
−12/50
31
μA78S40
Dual Switcher, Step−Up and Step−Down with Buffered Switch
12
28/250
5.0/250
−
32
7.5 to 14.5
10/120
−
−
18
Step−Up
Step−Up/Down
MC34063
Medium Power Step−Up/Down
Voltage−Inverting
MC34063
Low Power
5.0
−12/100
−
−
33
μA78S40
Medium Power with Buffered Switch
15
−15/500
−
−
15
μA78S40
High Voltage, High Power with Buffered Switch
μA78S40
42 Watt Off−Line Flyback Switcher
μA78S40
Tracking Regulator with Buffered Switch and Buffered Linear
Pass from Input
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23
28
−120/850
−
−
34
115 Vac
5.0/4000
12/700
−12/700
35
15
−12/500
12/500
−
37
AN920/D
8
1
S
Q
R
170
7
Ipk
0.2
Vin
36 V
6
47
OSC
1N5819
CT
VCC
3
+
+
Comp
−
1.25 V
Reference
Regulator
5
1.74 k
Test
2
GND
190 μH
470 pF
4
15 k
270
Conditions
+
Vout
12 V/750 mA
Results
Line Regulation
Vin = 20 to 40 V, Iout = 750 mA
Δ = 15 mV or ± 0.063%
Load Regulation
Vin = 36 V, Iout = 100 to 750 mA
Δ = 40 mV or ± 0.17%
Output Ripple
Vin = 36 V, Iout = 750 mA
Short Circuit Current
Vin = 36 V, RL = 0.1 Ω
1.6 A
Efficiency
Vin = 36 V, Iout = 750 mA
89.5%
60 mVp−p
A maximum power transfer of 9.0 watts is possible from an 8−pin dual−in−line package with Vin = 36 V and Vout = 12 V.
Figure 21. Step−Down
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24
AN920/D
D45VH4 (1)
MBR2540 (2)
22
51
8
1
S
Q
T
R
0.036
100
Vin
28 V
Ipk
6
2200
170
7
OSC
CT
22,000
Comp
−
1.25 V
Reference
Regulator
5
1N5819
330 pF
GND
4
3.6 k
1.2 k
+
3
+
+
23.1 μH
2
VCC
1.4T
+
470
(1) Heatsink, IERC HP3−T0127−CB
(2) Heatsink, IERC UP−000−CB
Vout1
5 V/5 A
Vout2
12 V/300 m A
Conditions
Test
Results
Line Regulation
Vout1
Vin = 20 to 30 V, Iout1 = 5.0 A, Iout2 = 300 mA
Δ = 9.0 mV or ± 0.09%
Load Regulation
Vout1
Vin = 28 V, Iout1 = 1.0 to 5.0 A, Iout2 = 300 mA
Δ = 20 mV or ± 0.2%
Output Ripple
Vout1
Vin = 28 V, Iout1 = 5.0 A, Iout2 = 300 mA
Short Circuit Current
Vout1
Vin = 28 V, RL = 0.1 Ω
Line Regulation
Vout2
Vin = 20 to 30 V, Iout1 = 5.0 A, Iout2 = 300 mA
Δ = 72 mV or ± 0.3%
Load Regulation
Vout2
Vin = 20 V, Iout2 = 100 to 300 mA, Iout1 = 5.0 A
Δ = 12 mV or ± 0.05%
Output Ripple
Vout2
Vin = 28 V, Iout1 = 5.0 A, Iout2 = 300 mA
Short Circuit Current
Vout2
Vin = 28 V, RL = 0.1 Ω
Efficiency
60 mVp−p
11.4 A
25 mVp−p
11.25 A
Vin = 28 V, Iout1 = 5.0 A, Iout2 = 300 mA
80%
A second output can be easily derived by winding a secondary on the main output inductor and phasing it so that energy is delivered to
Vout2 during toff. The second output power should not exceed 25% of the main output. The 100 Ω potentiometer is used to divide down the
voltage across the 0.036 Ω resistor and thus fine tune the current limit.
Figure 22. Step−Down with Buffered Switch and Second Output
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AN920/D
Vin = 33 V
33
18.2 k
+
1.0 k
0.22
750 pF
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
1.8 k
5
4
3
2
1
Vout2
15 V/50 mA
22 k
0.1
130 μH
1N5819
100
+
Vout1
24 V/500 mA
2.0 k
Test
Conditions
Results
Line Regulation
Vout1
Vin = 30 to 36 V, Iout1 = 500 mA, Iout2 = 50 mA
Δ = 30 mV or ± 0.63%
Load Regulation
Vout1
Vin = 33 V, Iout1 = 100 to 500 mA, Iout2 = 50 mA
Δ = 70 mV or ± 0.15%
Output Ripple
Vout1
Vin = 33 V, Iout1 = 500 mA, Iout2 = 50 mA
Short Circuit Current
Vout1
Vin = 33 V, RL = 0.1 Ω
Line Regulation
Vout2
Vin = 30 to 36 V, Iout1 = 500 mA, Iout2 = 50 mA
Δ = 20 mV or ± 0.067%
Load Regulation
Vout2
Vin = 33 V, Iout2 = 0 to 50 mA, Iout1 = 500 mA
Δ = 60 mV or ± 0.2%
Output Ripple
Vout2
Vin = 33 V, Iout1 = 500 mA, Iout2 = 50 mA
Short Circuit Current
Vout2
Vin = 33 V, RL = 0.1 Ω
90 mA
Vin = 33 V, Iout1 = 500 mA, Iout2 = 50 mA
88.2%
Efficiency
80 mVp−p
2.5 A
Figure 23. Step−Down with Linear Pass from Main Output
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70 mVp−p
AN920/D
Vin = 28 to 36 V
D45VH10
0.022
470
22 k
35 μH
Vout1
15 V/3.0 mA
*
+
MBR1540
*
100
2.0 k
2200
+
51
910 pF
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
5
4
3
2
1
820
TIP31 *
Vout2
12 V/1.0 mA
0.1
8.2 k
963
*All devices mounted on one heatsink, extra #10 hole required for
MBR2540, IERC HP3−T0127−4CB
Conditions
Test
Results
Line Regulation
Vout1
Vin = 28 to 36 V, Iout1 = 3.0 A, Iout2 = 1.0 A
Δ = 13 mV or ± 0.043%
Load Regulation
Vout1
Vin = 36 V, Iout1 = 1.0 to 4.0 A, Iout2 = 1.0 A
Δ = 21 mV or ± 0.07%
Output Ripple
Vout1
Vin = 36 V, Iout1 = 3.0 mA, Iout2 = 1.0 A
Short Circuit Current
Vout1
Vin = 36 V, RL = 0.1 Ω
Line Regulation
Vout2
Vin = 28 to 36 V, Iout1 = 3.0 A, Iout2 = 1.0 A
Δ = 2.0 mV or ± 0.008%
Load Regulation
Vout2
Vin = 36 V, Iout2 = 0 to 1.5 A
Δ = 2.0 mV or ± 0.08%
Output Ripple
Vout2
Vin = 36 V, Iout1 = 3.0 A, Iout2 = 1.0 A
Short Circuit Current
Vout2
Vin = 36 V, RL = 0.1 Ω
3.6 A
Vin = 36 V, Iout1 = 3.0 A, Iout2 = 1.0 A
78.5%
Efficiency
120 mVp−p
12.6 A
25 mVp−p
Figure 24. Step−Down with Buffered Switch and Buffered Linear Pass from Main Output
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AN920/D
Vin = −28 V
3.09 k
100
+
11.8 k
275 μH
Vout
−12 V/500 mA
470
9
10
11
GND
CT
OSC
12
−
S
Test
170
D1
+
20 k
16
Q
Op
Amp
−
470
15
R
+
7
10 k
14
470
Ipk
Comp
1.25 V
Ref
8
13
VCC
1N5819
+
820 pF
6
5
4
3
2
1
20 k
10 k
−2.5 V
Conditions
Results
Line Regulation
Vin = −22 to −28 V, Iout = 500 mA
Δ = 25 mV or ± 0.104%
Load Regulation
Vin = −28 V, Iout = 100 to 500 mA
Δ = 10 mV or ± 0.042%
Output Ripple
Vin = −28 V, Iout = 500 mA
130 mVp−p
Efficiency
Vin = −28 V, Iout = 500 mA
85.5%
In this step−down circuit, the output switch must be connected in series with the negative input, causing the internal 1.25 V reference to be
with respect to −Vin. A second reference of −2.5 V with respect to ground is generated by the Op Amp. Note that the 10 k and 20 k resistors
must be matched pairs for good line regulation and that no provision is made for output short−circuit protection.
Figure 25. Step−Down with Negative Input and Negative Output
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AN920/D
180 μH
7.75T T
1.25 V
1N5819
8
1
S
+
Q
Vout
36 V/225 mA
100
R
170
7
Ipk
0.22
Vin
12 V
6
OSC
CT
VCC
3
+
470
Comp
−
1.25 V
Reference
Regulator
5
2.7 k
Test
2
GND
910 pF
4
75 k
Conditions
Results
Line Regulation
Vin = 11 to 15 V, Iout = 225 mA
Δ = 20 mV or ± 0.028%
Load Regulation
Vin = 12 V, Iout = 50 to 225 mA
Δ = 30 mV or ± 0.042%
Output Ripple
Vin = 12 V, Iout = 225 mA
100 mVp−p
Efficiency
Vin = 12 V, Iout = 225 mA
90.4%
A maximum power transfer of 8.1 watts is possible with Vin = 12 V and Vout = 36 V. The high efficiency is partially due to the use of the
tapped inductor. The tap point is set for a voltage differential of 1.25 V. The range of Vin is somewhat limited when using this method.
Figure 26. Step−Up
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AN920/D
T1
+
Lp = 140 μH
8
1N4936
Vout
190 V/5.0 mA
To SCD 504 Display
1.0
1
S
Q
R
170
7
Ipk
0.24
Vin
4.5 to12 V
6
100
OSC
CT
VCC
3
+
+
Comp
−
5
27 k
2
1.25 V
Reference
Regulator
680 pF
4
GND
4.7 M
T1: Primary = 25 Turns #28 AWG
Secondary = 260 Turns #40 AWG
Core = Ferroxcube 1408P−L00−3CB
Bobbin = Ferroxcube 1408PCB1
Gap = 0.003″ Spacer for a primary inductance of 140 μH.
10 k
Test
Conditions
Results
Line Regulation
Vin = 4.5 to 12 V, Iout = 5.0 mA
Δ = 2.3 V or ± 0.61%
Load Regulation
Vin = 5.0 V, Iout = 1.0 to 6.0 mA
Δ = 1.4 V or ± 0.37%
Output Ripple
Vin = 5.0 V, Iout = 5.0 mA
Short Circuit Current
Vin = 5.0 V, RL = 0.1 Ω
Efficiency
Vin = 5.0 V, Iout = 5.0 mA
250 mVp−p
113 mA
68%
This circuit was designed to power the ON Semiconductor Solid Ceramic Displays from a Vin of 4.5 to 12 V. The design calculations are
based on a step−up converter with an input of 4.5 V and a 24 V output rated at 45 mA. The 24 V level is the maximum step−up allowed by
the oscillator ratio of ton/(ton + toff). The 45 mA current level was chosen so that the transformer primary power level is about 10% greater
than that required by the load. The maximum Vin of 12 V is determined by the sum of the flyback and leakage inductance voltages present
at the collector of the output switch during turn−off must not exceed 40 V.
Figure 27. High−Voltage, Low Power Step−Up for Solid Ceramic Display
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AN920/D
Vin = 4.5 to 6.0 V
D45VH10
0.022
2200
*
T1
+
27
Lp =
16.5 μH
5.1
1600 pF
10
11
GND
CT
OSC
12
14
15
16
−
S
Comp
Q
C1
500
+
10
0.033
170
Op
Amp
−
G.E.
FT−118
D1
+
6
18 k
22 M
R
+
7
MR817
Ipk
1.25 V
Ref
8
13
VCC
5
4
3
2
1
1.8 M
Shutter
9
TRAID
PL−10
* Heatsink, IERC PB1−36CB
120
4.7 M
18 k
Charging
Indicator
LED
T1: Primary = 10 Turns #17 AWG
Secondary = 130 Turns #30 AWG
Core = Ferroxcube 2616P−L00−3C8
Bobbin = Ferroxcube 2616PCB1
Gap = 0.018″ Spacer for a Primary
Inductance of 16.5 μH.
With Vin of 6.0 V, this step−up converter will charge capacitor C1 from 0 to 334 V in 4.7 seconds. The switching operation will cease until C1
bleeds down to 323 V. The charging time between flashes is 4.0 seconds. The output current at 334 V is 45 mA.
Figure 28. High−Voltage Step−Up with Buffered Switch for Photoflash Applications
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AN920/D
Vin = 2.5 V
470
62 k
+
10 k
40 μH
0.22
10
11
GND
CT
OSC
12
−
14
15
S
16
Q
170
Op
Amp
D1
+
6
+
R
−
7
Vout1
9.0 V/100 mA
Ipk
+
8
13
VCC
Comp
1.25 V
Ref
330
27
910 pF
9
1N5819
5
4
3
2
1
8.2 k
Vout2
6.0 V/30 mA
38.3 k
0.1
10 k
Test
Conditions
Results
Line Regulation
Vout1
Vin = 2.5 to 3.5 V, Iout1 = 100 mA, Iout2 = 30 mA
Δ = 20 mV or ± 0.11%
Load Regulation
Vout1
Vin = 2.5 V, Iout1 = 25 to 100 mA, Iout2 = 30 mA
Δ = 20 mV or ± 0.11%
Output Ripple
Vout1
Vin = 2.5 V, Iout1 = 100 mA, Iout2 = 30 mA
Line Regulation
Vout2
Vin = 2.5 to 3.5 V, Iout1 = 100 mA, Iout2 = 30 mA
Δ = 1.0 mV or ± 0.0083%
Load Regulation
Vout2
Vin = 2.5 V, Iout2 = 0 to 50 mA, Iout1 = 100 mA
Δ = 1.0 mV or ± 0.0083%
Output Ripple
Vout2
Vin = 2.5 V, Iout1 = 100 mA, Iout2 = 30 mA
Short Circuit Current
Vout2
Vin = 2.5 V, RL = 0.1 Ω
Efficiency
60 mVp−p
5.0 mVp−p
150 mA
Vin = 3.0 V, Iout1 = 100 mA, Iout2 = 30 mA
Figure 29. Step−Up with Linear Pass from Main Output
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68.3%
AN920/D
Vin = 4.5 to 5.5 V
16.5 k
‘A’
+
47
70 μH
0.22
‘B’ 13.7 k
294 k
68
820 pF
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
5
4
3
2
1
1.0 k
1.0
2N5089
+
470
57.6 k
470
TIP29
‘X’
16.5 k
0.058
WRITE
TTL Input
+
4.7 k
VPP Output
10.2 k
47 k
3.4 k
Voltage @
Switch Position
WRITE
Pins 1 & 5
X
VPP
A
< 1.5
23.52
5.24
20.95
A
> 2.25
23.52
1.28
5.12
B
< 1.5
28.07
6.25
25.01
B
> 2.25
28.07
1.28
5.12
NOTE:
All values are in volts. Vref = 1.245 V.
Contributed by Steve Hageman of Calex Mfg. Co. Inc.
Used in conjunction with two transistors, the μA78S40 can generate the required VPP voltage of 21 V or 25 V needed to program and erase
EEPROMs from a single 5.0 V supply. A step−up converter provides a selectable regulated voltage at Pins 1 and 5. This voltage is used to
generate a second reference at point ‘X’ and to power the linear regulator consisting of the internal op amp and a TIP29 transistor. When
the WRITE input is less than 1.5 V, the 2N5089 transistor is OFF, allowing the voltage at ‘X’ to rise exponentially with an approximate time
constant of 600 μs as required by some EEPROMs. The linear regulator amplifies the voltage at ‘X’ by four, generating the required VPP
output voltage for the byte−erase write cycle. When the WRITE input is greater than 2.25 V, the 2N5089 turns ON clamping point ‘X’ to the
internal reference level of 1.245 V. The VPP output will not be at approximately 5.1 V or 4.0 (1.245 + Vsat 2N5089). The μA78AS40
reference can only source current, therefore a reference pre bias of 470 Ω is used. The VPP output is short−circuit protected and can
supply a current of 100 mA at 21 V or 75 mA at 25 V over an input range of 4.5 to 5.5 V.
Figure 30. Step−Up with Buffered Linear Pass from Main Output for Programming EEPROMs
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AN920/D
Vin = 4.5 to 5.5 V
6800
22 k
+
2.0 k
0.022
8.8 μH
5.1
1200 pF
9
10
11
GND
CT
OSC
12
13
VCC
15
16
2N5824
2200
−
S
Q
170
Op
Amp
−
D1
+
1N5818
MC79L12
ACP
+
47
6
5
4
3
2
1
820
D44
VH1
(1)
27
1N5818
+
7
Vout1
15 V/1.0 mA
R
+
8
+
Ipk
Comp
1.25 V
Ref
14
47
Vout3
−12 V/50 mA
0.1
TIP29
(2)
0.1
8.2 k
47
+
Vout2
−12 V/50 mA
(1) Heatsink, IERC LAT0127B5CB
(2) Heatsink, IERC PB1−36CB
953
Conditions
Test
Results
Line Regulation
Vout1
Vin = 4.5 to 5.5 V
Δ = 18 mV or ± 0.06%
Load Regulation
Vout1
Vin = 5.0 V, Iout1 = 0.25 to 1.0 A
Δ = 25 mV or ± 0.083%
Output Ripple
Vout1
Vin = 5.0 V
Line Regulation
Vout2
Vin = 4.5 to 5.5 V
Δ = 3.0 mV or ± 0.013%
Load Regulation
Vout2
Vin = 5.0 V, Iout2 = 100 to 500 mA
Δ = 5.0 mV or ± 0.021%
Output Ripple
Vout2
Vin = 5.0 V
Short Circuit Current
Vout2
Vin = 5.0 V, RL = 0.1 Ω
Line Regulation
Vout3
Vin = 4.5 to 5.5 V
Load Regulation
Vout3
Vin = 5.0 V, Iout3 = 0 to 50 mA
Output Ripple
Vout3
Vin = 5.0 V
Short Circuit Current
Vout3
Vin = 5.0 V, RL = 0.1 Ω
Efficiency
NOTE:
75 mVp−p
20 mVp−p
2.7 A
Δ = 2.0 mV or ± 0.008%
Δ = 29 mV or ± 0.12%
15 mVp−p
130 mA
Vin = 5.0 V
71.8%
All outputs are at nominal load current unless otherwise noted.
Figure 31. Step−Up with Buffered Switch and Buffered Linear Pass from Main Output
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Vin = 12 V
47
+
47 k
108 μH
0.24
2.2 k
1N5819
9
10
11
GND
CT
OSC
12
−
14
15
S
16
Q
R
170
Op
Amp
−
6
10 k
D1
+
7
5
4
3
2
1
100
0.1
Vout1
28 V/250 mA
Ipk
+
8
13
VCC
Comp
1.25 V
Ref
470
180
470 pF
+
MPSU51A
1.0 M
4.4 mH
470
1N5819
2200
+
Vout2
5.0 V/250 mA
3.6 k
1.2 k
Conditions
Test
Results
Line Regulation
Vout1
Vin = 9.0 to 15 V, Iout1 = 250 mA, Iout2 = 250 mA
Δ = 30 mV or ± 0.054%
Load Regulation
Vout1
Vin = 12 V, Iout1 = 100 to 300 mA, Iout2 = 250 mA
Δ = 20 mV or ± 0.036%
Output Ripple
Vout1
Vin = 12 V, Iout1 = 250 mA, Iout2 = 250 mA
Short Circuit Current
Vout1
Vin = 12 V, RL = 0.1 Ω
Line Regulation
Vout2
Vin = 9.0 to 15 V, Iout1 = 250 mA, Iout2 = 250 mA
Δ = 4.0 mV or ± 0.04%
Load Regulation
Vout2
Vin = 12 V, Iout2 = 100 to 300 mA, Iout1 = 250 A
Δ = 18 mV or ± 0.18%
Output Ripple
Vout2
Vin = 12 V, Iout1 = 250 mA, Iout2 = 250 mA
70 mVp−p
Vin = 12 V, Iout1 = 250 mA, Iout2 = 250 mA
81.8%
Efficiency
35 mVp−p
1.7 A
This circuit shows a method of using the μA78S40 to construct two independent converters. Output 1 uses the typical step−up circuit
configuration while Output 2 makes the use of the op amp connected with positive feedback to create a free running step−down converter.
The op amp slew rate limits the maximum switching frequency at rated load to less than 2.0 kHz.
Figure 32. Dual Switcher, Step−Up and Step−Down with Buffered Switch
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AN920/D
8
1
S
Q
R
170
7
Ipk
0.24
Vin
4.5 to 6.0 V
100
6
OSC
2
88 μH
CT
VCC
3
+
+
Comp
−
1.25 V
Reference
Regulator
5
R2
8.2 k
Test
GND
R1
953
+
1300 pF
1N5819
4
|Vout| + 1.25 ǒ1 ) R2Ǔ
R1
1000
Conditions
+
Vout
−12 V/100 mA
Results
Line Regulation
Vin = 4.5 to 5.0 V, Iout = 100 mA
Δ = 2.0 mV or ± 0.008%
Load Regulation
Vin = 5.0 V, Iout = 10 to 100 mA
Δ = 10 mV or ± 0.042%
Output Ripple
Vin = 5.0 V, Iout = 100 mA
Short Circuit Current
Vin = 5.0 V, RL = 0.1 Ω
1.4 A
Efficiency
Vin = 5.0 V, Iout = 100 mA
60%
35 mVp−p
The above circuit shows a method of using the MC34063 to construct a low power voltage−inverting converter. Note that the integrated
circuit ground, pin 4, is connected directly to the negative output, thus allowing the internally connected comparator and reference to
function properly for output voltage control. With this configuration, the sum of Vin + Vout + VF must not exceed 40 V. The conversion
efficiency is modest since the output switch is connected as a Darlington and its on−voltage is a large portion of the minimum operating
input voltage. A 12% improvement can be realized with the addition of an external PNP saturated switch when connected in a similar
manner to that shown in Figure 15.
Figure 33. Low Power Voltage−Inverting
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AN920/D
Vin = 28 V
Rsc
0.022
2N6438
*
4700
+
100
100 k
10
51
1050
1200 pF
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
MR822
D1
+
8
13
VCC
7
6
5
4
3
2
Vout
−120 V/850 mA
1
+
9
1000
pF
560
200 μH Center Tapped
*Heatsink
IERC Nested Pair
HP1−T03−CB
HP3−T03−CB
Test
Conditions
Results
Line Regulation
Vin = 24 to 28 V, Iout = 850 mA
Δ = 100 mV or ± 0.042%
Load Regulation
Vin = 28 V, Iout = 100 to 850 mA
Δ = 70 mV or ± 0.029%
Output Ripple
Vin = 28 V, Iout = 850 mA
Short Circuit Current
Vin = 28 V, RL = 0.1 Ω
6.4 A
Efficiency
Vin = 28 V, Iout = 850 mA
81.8%
450 mVp−p
This high power voltage−inverting circuit makes use of a center tapped inductor to step−up the magnitude of the output. Without the tap, the
output switch transistor would need a VCE breakdown greater than 148 V at the start of toff; the maximum rating of this device is 120 V. All
calculations are done for the typical voltage−inverting converter with an input of 28 V and an output of −120 V. The inductor value will be
50 μH or 200 μH center tapped for the value of CT used. The 1000 pF capacitor is used to filter the spikes generated by the high switching
current flowing through the wiring and Rsc inductance.
Figure 34. High Power Voltage−Inverting with Buffered Switch
used. Output regulation and isolation is achieved by the use
of the TL431 as an output reference and comparator, and a
4N35 optocoupler. As the 5.0 V output reaches its nominal
level, the TL431 will start to conduct current through the
LED in the 4N35. This in turn will cause the optoreceiver
transistor to turn on, raising the voltage at Pin 10 which will
cause a reduction in percent on−time of the output switch.
The peak drain current at 42 W output is 2.0 A. As the
output loading is increased, the MPS6515 will activate the
Ipk(sense) pin and shorten ton on a cycle−by−cycle basis. If an
An economical 42 watt off−line flyback switcher is shown
in Figure 35. In this circuit the μA78S40 is connected to
operate as a fixed frequency pulse width modulator. The
oscillator sawtooth waveform is connected to the
noninverting input of the comparator and a preset voltage of
685 mV, derived from the reference is connected to the
inverting input. The preset voltage reduces the maximum
percent on−time of the output switch from a nominal of
85.7% to about 45%. The maximum must be less than 50%
when an equal turns ratio of primary to clamp winding is
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AN920/D
output filter capacitor must have separate ground returns to
the transformer as shown on the circuit diagram. A complete
printed circuit board with component layout is shown in
Figure 36.
The μA78S40 may be used in any of the previously shown
circuit designs as a fixed frequency pulse width modulator,
however consideration must be given to the proper selection
of the feedback loop elements in order to insure circuit
stability.
output is shorted, the Ipk(sense) circuit will cause CT to charge
beyond the upper oscillator trip point and the oscillator
frequency will decrease. This action will result in a lower
average power dissipation for the output switching
transistor.
Each output has a series inductor and a second shunt filter
capacitor forming a Pi filter. This is used to reduce the level
of high frequency ripple and spikes. Care must be taken with
the layout of grounds in the Pi filter network. Each input and
T1
6
680
12
6
Fusible Resistor
100
1 1/2 4N35
+
1N4303
2
2200
20 Ω
470
20 A
+
22
3.3 k
1.0 k
+
1000
0.1
15 k
2.0 W
+
Vout1
5.0 V/4.5 A
L1
MBR1635
10 11 11
3.3 k
TL431
1N965A
5.0 V
Return
1000 pF
1.0 k
9
10
11
GND
12
13
VCC
CT
Ipk
OSC
+
−
9
9
4
170
6
5
4
10
3
2
L3
1
MTP
4N50
MPSA55
MPS6515
4
680
1000
5
+
+
±12 V
Return
Vout3
−12 V/0.8 A
*
5
6
10
7
470 pF
560
+
1000
D1
+
7
8
+
Op
Amp
Vout2
12 V/0.8 A
L2
MUR110
16
R
−
8
15
S Q
Comp
1.25 V
Ref
14
1.0 k
1N4937
115 VAC ±20%
0.1
0.0047
UL/CSA
0.24
1.8 k
T1 − Primary:
Pins 4 and 6 = 72 Turns #24 AWG, Bifilar Wound
Pins 5 and 6 = 72 Turns #26 AWG, Bifilar Wound
Secondary 5.0 V:
6 Turns (two strands) #18 AWG Bifilar Wound
Secondary 12 V:
14 Turns #23 AWG Bifilar Wound
1000 pF
3.9 k
*Heatsink
Thermalloy 6072B−MT
T1 − Core and Bobbin: Coilcraft PT3995
Gap: 0.030″ Spacer in each leg for a primary inductance of 550 μH.
Primary to primary leakage inductance must be less than 30 μH.
L1 − Coilcraft Z7156:
Remove one layer for final inductance of 4.5 mH.
L2, L3 − Coilcraft Z7157:
25 μH at 1.0 A
Figure 35. 42 Watt Off−Line Flyback Switcher with Primary Power Limiting
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AN920/D
Conditions
Test
Results
Line Regulation
Vout1
Vin = 92 to 138 Vac
Δ = 1.0 mV or ± 0.01%
Load Regulation
Vout1
Vin = 115 Vac, Iout1 = 1.0 to 4.5 A
Δ = 3.0 mV or ± 0.03%
Output Ripple
Vout1
Vin = 115 Vac
Short Circuit Current
Vout1
Vin = 115 Vac, RL = 0.1 Ω
40 mVp−p
19.2 A
Line Regulation
Vout2 or Vout3
Vin = 92 to 138 Vac
Δ = 10 mV or ± 0.04%
Load Regulation
Vout2 or Vout3
Vin = 115 Vac, Iout2 or Iout3 = 0.25 to 0.8 A
Δ = 384 mV or ± 1.6%
Output Ripple
Vout2 or Vout3
Vin = 115 Vac
Short Circuit Current
Vout2 or Vout3
Vin = 115 Vac, RL = 0.1 Ω
10.8 A
Vin = 115 Vac
75.7%
Efficiency
NOTE:
80 mVp−p
All outputs are at nominal load current unless otherwise noted.
Figure 35. (continued) 42 Watt Off−Line Flyback Switcher with Primary Power Limiting
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AN920/D
Component Layout − Bottom View
Printed Circuit Board Negative − Bottom View
Figure 36. 42 Watt Off−Line
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AN920/D
Vin = 15 V
MPSU51A
0.15
100
1N5822
*
Vout1
−12 V/500 mA
+
100
Vout2
Voltage Adj
36.1 μH
+
2.0 k
12 k
1.5 k
100
270
180 pF
9
10
11
GND
CT
OSC
12
14
15
16
Ipk
S
Comp
−
Q
R
+
1.25 V
Ref
170
Op
Amp
−
D1
+
8
13
VCC
7
6
5
4
3
2
1
*Heatsink
IERC PSC2−3
6.2 k
MPSU01A *
12 k
Vout2
12 V/500 mA
0.1
200
Tracking Adj
12 k
Test
Conditions
Results
Line Regulation
Vout1
Vin = 14.5 to 18 V, Iout1 = 500 mA, Iout2 = 500 mA
Δ = 10 mV or ± 0.042%
Load Regulation
Vout1
Vin = 15 V, Iout1 = 100 to 500 mA, Iout2 = 500 mA
Δ = 2.0 mV or ± 0.008%
Output Ripple
Vout1
Vin = 15 V, Iout1 = 500 mA, Iout2 = 500 mA
Line Regulation
Vout2
Vin = 14.5 to 18 V, Iout1 = 500 mA, Iout2 = 500 mA
Δ = 10 mV or ± 0.042%
Load Regulation
Vout2
Vin = 15 V, Iout2 = 100 to 500 mA, Iout1 = 500 A
Δ = 5.0 mV or ± 0.021%
Output Ripple
Vout2
Vin = 15 V, Iout1 = 500 mA, Iout2 = 500 mA
140 mVp−p
Vin = 15 V, Iout1 = 500 mA, Iout2 = 500 mA
77.2%
Efficiency
125 mVp−p
This tracking regulator provides a ±12 V output from a single 15 V input. The negative output is generated by a voltage−inverting converter
while the positive is a linear pass regulator taken from the input. The ±12 V outputs are monitored by the op amp in a corrective fashion so
that the voltage at the center of the divider is zero ± VIO. The op amp is connected as a unity gain inverter when |Vout1| = |Vout2|.
Figure 37. Tracking Regulator, Voltage−Inverting with Buffered Switch and Buffered Linear Pass from Input
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AN920/D
SWITCHING REGULATOR
COMPONENT SOURCES
SUMMARY
The goal of this application note is to convey the theory of
operation of the MC34063 and μA78S40, and to show the
derivation of the basic first order design equations. The
circuits were chosen to explore a variety of cost effective and
practical solutions in designing switching converters.
Another major objective is to show the ease and simplicity
in designing switching converters and to remove any
mystical “black magic” fears. ON Semiconductor maintains
a Linear and Discrete products applications staff that is
dedicated to assisting customers with any design problems
or questions.
Capacitor
Erie Technical Products
P.O. Box 961
Erie, PA 16512
(814) 452−5611
Mallory Capacitor Co.
P.O. Box 1284
Indianapolis, IN 46206
(317) 856−3731
United Chemi−Con
9801 W. Higgins Road
Rosemont, IL 60018
(312) 696−2000
BIBLIOGRAPHY
Steve Hageman, DC/dc Converter Powers EEPROMs,
EDN, January 20, 1983.
Design Manual for SMPS Power Transformers, Copyright
1982 by Pulse Engineering.
Heatsinks
IERC
135 W. Magnolia Blvd.
Burbank, CA
(213) 849−2481
HeatSink/Dissipator Products and Thermal Management
Guide, Copyright 1980 by International Electronic
Research Corporation.
Linear and Interface Integrated Circuits Data Manual,
Copyright 1988 by Motorola Inc.
Thermalloy, Inc.
2021 W. Valley View Lane
Dallas, Texas 75234
(214) 243−4321
Linear Ferrite Materials and Components Sixth Edition, by
Ferroxcube Corporation.
Linear/Switchmode Voltage Regulator Hanbook Theory and
Practice, Copyright 1989 by Motorola Inc.
Magnetic Assemblies
Coilcraft, Inc.
1102 Silver Lake Rd.
Cary, IL 60013
(312) 639−2361
Molypermalloy Powder Cores, Catalog MPP−303U,
Copyright 1981 by Magnetics Inc.
Motorola Power Data Book, Copyright 1989 by Motorola
Inc.
Pulse Engineering
P.O. Box 12235
San Diego, CA 92112
(714) 279−5900
Motorola Rectifiers and Zener Diodes Data Book,
Copyright 1988 by Motorola Inc.
Structured Design of Switching Power Magnetics,
AN−P100, by Coilcraft Inc.
Magnetic Cores
Ferroxcube
5083 Kings Highway
Saugerties, NY 12477
(914) 246−2811
Switching and Linear Power Supply, Power Converter
Design, by Abraham I. Pressman, Copyright 1977 by
Hayden Book Company Inc.
mA78S40 Switching Voltage Regulator, Application Note
370, Copyright 1982 by Fairchild Camera and
Instruments Corporation.
Magnetics, Inc.
P.O. Box 391
Butler, PA 16001
(412) 282−8282
Switchmode Transformer Ferrite E−Core Packages,
DS−P200, by Coilcraft Inc.
Jim Lange, Tapped Inductor Improves Efficiency for
Switching Regulator, ED 16, August 2, 1979.
TDK Corporation of America
4709 Golf Rd., Suite 300
Skokie, IL 60076
(312) 679−8200
Voltage Regulator Handbook, Copyright 1978 by Fairchild
Camera and Instruments Corporation.
ON Semiconductor does not endorse or warrant the
suppliers referenced.
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AN920/D
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are registered trademarks of Semiconductor Components Industries, LLC (SCILLC). SCILLC owns the rights to a number of patents, trademarks,
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AN920/D