ONSEMI NCP1442T

NCP1442, NCP1443,
NCP1444, NCP1445
4.0 A 280 kHz/560 kHz
Boost Regulators
The NCP1442/3/4/5 products are 280 kHz/560 kHz switching
regulators with a high efficiency, 4.0 A integrated switch. These parts
operate over a wide input voltage range, from 2.7 V to 30 V. The
flexibility of the design allows the chips to operate in most power
supply configurations, including boost, flyback, forward, inverting,
and SEPIC. The ICs utilize current mode architecture, which allows
excellent load and line regulation, as well as a practical means for
limiting current. Combining high−frequency operation with a highly
integrated regulator circuit results in an extremely compact power
supply solution. The circuit design includes provisions for features
such as frequency synchronization, shutdown, and feedback controls
for either positive or negative voltage regulation.
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PowerFLEX
7−PIN
F SUFFIX
CASE 936J
1
7
7 LEAD, TO−220
T SUFFIX
CASE 821P
1
Part Number
Frequency
Feedback Voltage Polarity
NCP1442
280 kHz
Positive
NCP1443
280 kHz
Negative
NCP1444
560 kHz
Positive
NCP1445
560 kHz
Negative
PIN CONNECTIONS AND
MARKING DIAGRAMS
Features
•
•
•
•
•
•
•
•
•
•
•
Pb−Free Packages are Available*
Integrated Power Switch: 4.0 A Guaranteed
Wide Input Range: 2.7 V to 30 V
High Frequency Allows for Small Components
Minimum External Components
Easy External Synchronization
Built−in Overcurrent Protection
Frequency Foldback Reduces Component Stress During an
Overcurrent Condition
Thermal Shutdown with Hysteresis
Regulates Either Positive or Negative Output Voltages
Shut Down Current: 50 A Maximum
Applications
•
•
•
•
•
7
NC
P144xF
AWLYWW
1
7
PowerFLEX
7−PIN
1
7
7 LEAD, TO−220
NCP1442/4
Pin 1. VC
2. FB
3. TEST
4. GND
5. VSW
6. SS
7. VCC
x
A
WL
Y
WW
Boost Converter
Inverting Converter
Distributed Power
Portable Computers
Battery Powered Systems
NC
P144xT
AWLYWW
NCP1443/5
1. VC
2. TEST
3. NFB
4. GND
5. VSW
6. SS
7. VCC
= Device Number 2, 3, 4, or 5
= Assembly Location
= Wafer Lot
= Year
= Work Week
ORDERING INFORMATION
See detailed ordering and shipping information in the package
dimensions section on page 18 of this data sheet.
*For additional information on our Pb−Free strategy and soldering details, please
download the ON Semiconductor Soldering and Mounting Techniques
Reference Manual, SOLDERRM/D.
 Semiconductor Components Industries, LLC, 2004
October, 2004 − Rev. 7
1
Publication Order Number:
NCP1442/D
NCP1442, NCP1443, NCP1444, NCP1445
10 H
3.3 V
+
+
33 F
33 F
33 F
1
3
220 pF
SS
0.01 F
6
VC
NC
MBRS320T3
7
5 VOUT/1.5 A
VCC
NCP1442/4
+
VSW
5
VSW
22 k
2
FB
4
GND
SS
+
+
+
33 F
33 F
33 F
7.5 k
5.1 k
GND
GND
Figure 1. Application Diagram − NCP1442/4,
3.3 V to 5.0 V/1.5 A Boost Converter
MAXIMUM RATINGS
Rating
Value
Unit
Thermal Resistance Junction−to−Air, TO220−7 Version In Air (Socketed)
Thermal Resistance Junction−to−Air, TO220−7 Version On Cold Plate (25°C)
66.7
1.45
°C/W
Thermal Resistance Junction−to−Air, PowerFLEX on 2.1 sq. in. 1 oz.
53.8
°C/W
0 to +150
°C
−65 to +150
°C
230 Peak
°C
2.0
kV
Junction Temperature Range, TJ
Storage Temperature Range, TSTORAGE
Lead Temperature Soldering: Reflow (Note 1)
ESD, Human Body Model
Maximum ratings are those values beyond which device damage can occur. Maximum ratings applied to the device are individual stress limit
values (not normal operating conditions) and are not valid simultaneously. If these limits are exceeded, device functional operation is not implied,
damage may occur and reliability may be affected.
1. 60 second maximum above 183°C.
MAXIMUM RATINGS
Pin Name
Pin Symbol
VMAX
VMIN
ISOURCE
ISINK
IC Power Input
VCC
30 V
−0.3 V
N/A
200 mA
Shutdown/Sync
SS
30 V
−0.3 V
1.0 mA
1.0 mA
Loop Compensation
VC
6.0 V
−0.3 V
10 mA
10 mA
Voltage Feedback Input
FB
(NCP1442/4 only)
10 V
−0.3 V
1.0 mA
1.0 mA
Negative Feedback Input
(Transient, 10 ms)
NFB
(NCP1443/5 only)
10 V
−10 V
1.0 mA
1.0 mA
Test Pin
Test
6.0 V
−0.3 V
1.0 mA
1.0 mA
Ground
GND
0.3 V
−0.3 V
9.0 A
10 mA
Switch Input
VSW
40 V
−0.3 V
10 mA
9.0 A
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2
NCP1442, NCP1443, NCP1444, NCP1445
ELECTRICAL CHARACTERISTICS (2.7 V < VCC < 30 V; 0°C < TA < 85°C; 0°C < TJ < 125°C; For all NCP1442/3/4/5 specifications
unless otherwise stated.) (See Note 2)
Characteristic
Test Conditions
Min
Typ
Max
Unit
Positive and Negative Error Amplifiers
FB Reference Voltage (NCP1442/4 only)
VC tied to FB; measure at FB
1.246
1.276
1.300
V
NFB Reference Voltage (NCP1443/5 only)
VC = 1.25 V
−2.60
−2.475
−2.40
V
FB Input Current (NCP1442/4 only)
FB = VREF
−1.0
0.1
1.0
A
NFB Input Current (NCP1443/5 only)
NFB = NVREF
−16
−10
−5.0
A
FB Reference Voltage Line Regulation
(NCP1442/4 only)
VC = FB
−0.03
0.01
0.03
%/V
NFB Reference Voltage Line Regulation
(NCP1443/5 only)
VC = 1.25 V
−0.05
0.01
0.05
%/V
Positive Error Amp Transconductance
IVC = ± 25 A
300
550
800
Mho
Negative Error Amp Transconductance
IVC = ± 5.0 A
115
160
225
Mho
Positive Error Amp Gain
(Note 3)
200
500
−
V/V
Negative Error Amp Gain
(Note 3)
100
180
320
V/V
VC Source Current
FB = 1.0 V or NFB = −1.9 V, VC = 1.25 V
−90
−50
−25
A
VC Sink Current
FB = 1.5 V or NFB = −3.1 V, VC = 1.25 V
200
460
1500
A
VC High Clamp Voltage
FB = 1.0 V or NFB = −1.9 V; VC sources 25 A
1.5
1.64
1.9
V
VC Low Clamp Voltage
FB = 1.5 V or NFB = −3.1 V, VC sinks 25 A
0.30
0.47
0.70
V
VC Threshold
Reduce VC from 1.5 V until switching stops
0.70
1.05
1.30
V
Base Operating Frequency
NCP1442/3, FB = 1.0 V or NFB = −1.9 V
240
280
320
kHz
Reduced Operating Frequency
NCP1442/3, FB = 0 V or NFB = 0 V
30
68
120
kHz
Maximum Duty Cycle
NCP1442/3
90
96
−
%
Base Operating Frequency
NCP1444/5, FB = 1.0 V or NFB = −1.9 V
480
560
640
kHz
Reduced Operating Frequency
NCP1444/5, FB = 0 V or NFB = 0 V
60
120
160
kHz
Maximum Duty Cycle
NCP1444/5
82
92
−
%
FB Frequency Shift Threshold
Frequency drops to reduced operating frequency
0.36
0.40
0.44
V
NFB Frequency Shift Threshold
Frequency drops to reduced operating frequency
−0.80
−0.68
−0.50
V
Oscillator
Sync/Shutdown
Sync Range
NCP1442/3
−
500
−
kHz
Sync Range
NCP1444/5
−
1000
−
kHz
Sync Pulse Transition Threshold
Rise time = 20 ns
−
2.5
−
V
SS Bias Current
SS = 0 V
SS = 3.0 V
−10
−
−1.0
0.2
−
4.0
A
A
0.50
0.85
1.20
V
12
12
100
40
500
400
s
s
Shutdown Threshold
Shutdown Delay
−
2.7 V ≤ VCC ≤ 12 V
12 V < VCC ≤ 30 V
2. For the FR4 suffix parts, production testing is performed at 25°C and 85°C; limits at 0°C are guaranteed by design.
3. Guaranteed by design, not 100% tested in production.
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3
NCP1442, NCP1443, NCP1444, NCP1445
ELECTRICAL CHARACTERISTICS (continued) (2.7 V < VCC < 30 V; 0°C < TA < 85°C; 0°C < TJ < 125°C; For all
NCP1442/3/4/5 specifications unless otherwise stated.) (See Note 2)
Characteristic
Test Conditions
Min
Typ
Max
Unit
−
−
−
0.6
0.14
0.9
1.0
0.5
0.4
V
V
V
Power Switch
Switch Saturation Voltage
ISWITCH = 4.0 A
ISWITCH = 10 mA, 2.7 V < VCC < 12 V
ISWITCH = 10 mA, 12 V < VCC < 30 V
Switch Current Limit
50% duty cycle (Note 4)
80% duty cycle (Note 4)
5.0
4.0
6.0
−
8.0
−
A
A
Minimum Pulse Width
FB = 0 V or NFB = 0 V, ISW = 4.0 A (Note 4)
200
250
300
ns
Switch Transconductance, ICC/ IVSW
2.7 V ≤ VCC ≤ 12 V, 10 mA ≤ ISW ≤ 4.0 A
12 V < VCC ≤ 30 V, 10 mA ≤ ISW ≤ 4.0 A
−
−
8.0
10
30
50
mA/A
Switch Leakage
VSW = 40 V, VCC = 0V
−
2.0
20
A
Operating Current
ISW = 0
−
15
27
mA
Shutdown Mode Current
VC < 0.8 V, SS = 0 V, 2.7 V ≤ VCC ≤ 12 V
VC < 0.8 V, SS = 0 V, 12 V ≤ VCC ≤ 30 V
−
−
16
25
60
60
A
Minimum Operation Input Voltage
VSW switching, maximum ISW = 10 mA
−
2.2
2.6
V
Thermal Shutdown
(Note 4)
150
180
210
°C
Thermal Hysteresis
(Note 4)
−
25
−
°C
General
4. Guaranteed by design, not 100% tested in production.
PACKAGE PIN DESCRIPTION
Package Pin Number
Pin Symbol
Function
1
VC
Loop compensation pin. The VC pin is the output of the error amplifier and is used for loop
compensation, current limit and soft start. Loop compensation can be implemented by a simple RC network as shown in the application diagram on page 2.
2 (NCP1442/4 only)
FB
Positive regulator feedback pin. This pin senses a positive output voltage and is referenced to
1.276 V. When the voltage at this pin falls below 0.4 V, chip switching frequency reduces to
20% of the nominal frequency.
2 (NCP1443/5 only)
3 (NCP1442/4 only)
Test
These pins are connected to internal test logic and should either be left floating or tied to
ground. Connection to a voltage between 2.0 V and 6.0 V shuts down the internal oscillator
and leaves the power switch running.
3 (NCP1443/5 only)
NFB
Negative feedback pin. This pin senses a negative output voltage and is referenced to −2.475
V. When the voltage at this pin goes above −0.65 V, chip switching frequency reduces to 20%
of the nominal frequency.
4
GND
Ground pin. This pin provides a ground for the controller circuitry and the internal power
switch. This pin is internally connected to the metal pad of the package to provide an additional ground connection as well as an effective means of dissipating heat.
5
VSW
High current switch pin. This pin connects internally to the collector of the power switch. The
open voltage across the power switch can be as high as 40 V. To minimize radiation, use a
trace as short as practical.
6
SS
Synchronization and shutdown pin. This pin may be used to synchronize the part to nearly
twice the base frequency. A TTL low will shut the part down and put it into low current mode.
If synchronization is not used, this pin should be either tied high or left floating for normal
operation.
7
VCC
Input power supply pin. This pin supplies power to the part and should have a bypass capacitor connected to GND.
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NCP1442, NCP1443, NCP1444, NCP1445
VCC
Thermal
Shutdown
Shutdown
2.0 V
Regulator
VSW
Oscillator
Delay
Timer
S PWM
Latch
R
Q
Switch
Driver
Sync
SS
Frequency
Shift 5:1
×5
200 k
2.0 V
NFB
NCP1443/5
only
250 k
Slope
Compensation
Negative
Error Amp
15 m
+
Ramp
Summer
−
PWM
Comparator
−0.65 V Detector
+
0.4 V Detector
FB
−
NCP1442/4
only
+
1.276 V
Positive
Error Amp
VC
Figure 2. Block Diagram
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5
−
GND
NCP1442, NCP1443, NCP1444, NCP1445
20
12
10
VCC = 12 V
15
ICC / ISW (mA/A)
ICC, SUPPLY CURRENT (mA)
VCC = 30 V
VCC = 2.7 V
10
5
VCC = 30 V
8
VCC = 12 V
6
VCC = 2.7 V
4
2
ISW = 2.99 A
0
0
20
40
60
80
0
20
80
Figure 3. Supply Current versus Temperature
Figure 4. ICC / ISW versus Temperature
300
700
600
TA = 25°C
500
TA = 85°C
400
300
200
VCC = 2.7 V
100
0
0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
295
290
285
280
275
270
265
260
255
250
0
4.0
10
600
595
590
585
580
575
570
565
560
555
10
20
30
40
50
60
30
40
50
60
70
80
Figure 6. Switching Frequency versus
Temperature (NCP1442/3 Only)
f, SWITCHING FREQUENCY (% of Typical)
Figure 5. Switch Saturation Voltage versus
Switch Current
0
20
TA, AMBIENT TEMPERATURE (°C)
ISW, SWITCH CURRENT (A)
f, SWITCHING FREQUENCY (kHz)
60
TA, AMBIENT TEMPERATURE (°C)
800
550
40
TA, AMBIENT TEMPERATURE (°C)
f, SWITCHING FREQUENCY (kHz)
VCE(sat), SWITCH SATURATION VOLTAGE (mV)
0
70
80
125
100
TA = 25°C
75
TA = 85°C
50
25
VCC = 12 V
0
0.38 0.39
0.40
0.41
0.42
0.43
0.44
0.45
VFB, POSITIVE FEEDBACK VOLTAGE (V)
TA, AMBIENT TEMPERATURE (°C)
Figure 7. Switching Frequency versus
Temperature (NCP1444/5 Only)
Figure 8. Switching Frequency versus Positive
Feedback Voltage
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6
125
1.276
VFB, FEEDBACK REFERENCE VOLTAGE (V)
f, SWITCHING FREQUENCY (% of Typical)
NCP1442, NCP1443, NCP1444, NCP1445
VCC = 30 V
1.275
100
1.274
TA = 85°C
1.273
75
TA = 25°C
VCC = 12 V
1.272
50
VCC = 2.7 V
1.271
25
1.270
VCC = 12 V
1.269
0
−0.665 −0.67
−0.675
−0.68
−0.685
−0.69
−0.695
VNFB, NEGATIVE FEEDBACK VOLTAGE (V)
1.268
0
IFB, ERROR AMPLIFIER BIAS CURRENT (A)
VFB, FEEDBACK REFERENCE VOLTAGE (V)
−2.47
VCC = 12 V
VCC = 2.7 V
−2.49
VCC = 30 V
−2.50
20
40
40
50
60
70
80
60
80
0.30
0.29
0.28
0.27
VCC = 2.7 V
0.26
VCC = 12 V
0.25
0.24
VCC = 30 V
0.23
0.22
0.21
0.20
0
TA, AMBIENT TEMPERATURE (°C)
20
40
60
80
TA, AMBIENT TEMPERATURE (°C)
Figure 11. Feedback Reference Voltage versus
Temperature (NCP1443/5 Only)
Figure 12. Error Amplifier Bias Current versus
Temperature (NCP1442/3 Only)
97.0
−8
Dmax, MAXIMUM DUTY CYCLE (%)
INFB, ERROR AMPLIFIER BIAS CURRENT (A)
30
Figure 10. Feedback Reference Voltage versus
Temperature (NCP1442/4 Only)
−2.46
0
20
TA, AMBIENT TEMPERATURE (°C)
Figure 9. Switching Frequency versus
Negative Feedback Voltage
−2.48
10
VCC = 30 V
−9
12 V
−10
2.7 V
−11
−12
−13
−14
96.5
96.0
95.5
95.0
VCC = 2.7 V
94.5
VCC = 12 V
94.0
93.5
VCC = 30 V
93.0
0
20
40
60
80
0
TA, AMBIENT TEMPERATURE (°C)
20
40
60
TA, AMBIENT TEMPERATURE (°C)
Figure 13. Error Amplifier Bias Current versus
Temperature (NCP1443/5 Only)
Figure 14. Maximum Duty Cycle versus
Temperature
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80
NCP1442, NCP1443, NCP1444, NCP1445
1.0
Vcth, THRESHOLD VOLTAGE (V)
VSS, SHUTDOWN THRESHOLD (V)
1.14
1.12
1.10
1.08
1.06
1.04
1.02
1.00
0
20
10
30
40
50
60
70
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
80
10
0
20
30
40
50
60
70
TA, AMBIENT TEMPERATURE (°C)
TA, AMBIENT TEMPERATURE (°C)
Figure 15. VC Threshold Voltage versus
Temperature
Figure 16. Shutdown Threshold versus
Temperature
180
80
250
160
140
TD, SHUTDOWN DELAY (s)
TD, SHUTDOWN DELAY (s)
0.9
VCC = 2.7 V
120
100
80
VCC = 12 V
60
40
VCC = 30 V
VCC = 2.7 V
200
150
100
VCC = 12 V
50
VCC = 30 V
20
0
0
0
20
10
30
40
50
60
70
80
10
0
20
TA, AMBIENT TEMPERATURE (°C)
Figure 17. Shutdown Delay versus Temperature
(NCP1442)
40
50
60
70
80
Figure 18. Shutdown Delay versus Temperature
(NCP1444)
45
3.5
40
ISD, SUPPLY CURRENT (A)
4.0
3.0
ISS (A)
30
TA, AMBIENT TEMPERATURE (°C)
2.5
2.0
1.5
1.0
0.5
0
35
30
TA = 85°C
25
TA = 25°C
20
15
10
5
0
0
5
10
15
20
25
30
0
VSS (V)
5
10
15
20
25
VCC, SUPPLY VOLTAGE (V)
Figure 19. ISS versus VSS
Figure 20. Supply Current versus Supply
Voltage During Shutdown
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8
30
NCP1442, NCP1443, NCP1444, NCP1445
−600
gm, TRANSCONDUCTANCE (mho)
gm, TRANSCONDUCTANCE (mho)
570
560
550
540
530
520
510
500
490
480
470
−700
−750
−800
−850
−900
−950
0
20
40
60
80
0
20
40
60
80
TA, AMBIENT TEMPERATURE (°C)
TA, AMBIENT TEMPERATURE (°C)
Figure 21. Error Amplifier Transconductance
versus Temperature
Figure 22. Negative Error Amplifier
Transconductance versus Temperature
100
IC, EA OUTPUT CURRENT (A)
100
0
−100
−200
−300
−400
−500
−0.25 −0.2 −0.15 −0.1 −0.05
0
0.05 0.1 0.15 0.2 0.25
50
0
−50
−100
−150
−200
−0.3
Vref−VFB, FEEDBACK VOLTAGE (mV)
−0.2
−0.1
5.5
5.0
4.5
4.0
3.5
3.0
20
0.1
0.2
Figure 24. Error Amplifier Output Current versus
Negative Feedback Voltage
6.0
0
0
Vref−VNFB, FEEDBACK VOLTAGE (mV)
Figure 23. Error Amplifier Output Current
versus Positive Feedback Voltage
ISW, SWITCH LEAKAGE CURRENT (A)
IC, EA OUTPUT CURRENT (A)
−650
40
60
80
TA, AMBIENT TEMPERATURE (°C)
Figure 25. Switch Leakage Current versus
Temperature
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NCP1442, NCP1443, NCP1444, NCP1445
APPLICATIONS INFORMATION
THEORY OF OPERATION
The oscillator is trimmed to guarantee frequency
accuracy. The output of the oscillator turns on the power
switch at a frequency of 280 kHz (NCP1442/3) or 560 kHz
(NCP1444/5), as shown in Figure 26. The power switch is
turned off by the output of the PWM Comparator.
A TTL−compatible sync input at the SS pin is capable of
syncing up to 1.8 times the base oscillator frequency. As
shown in Figure 27, in order to sync to a higher frequency,
a positive transition turns on the power switch before the
output of the oscillator goes high, thereby resetting the
oscillator. The sync operation allows multiple power
supplies to operate at the same frequency.
A sustained logic low at the SS pin will shut down the IC
and reduce the supply current.
An additional feature includes frequency shift to 20% of
the nominal frequency when either the NFB or FB pins
trigger the threshold. During power up, overload, or short
circuit conditions, the minimum switch on−time is limited
by the PWM comparator minimum pulse width. Extra
switch off−time reduces the minimum duty cycle to protect
external components and the IC itself.
As previously mentioned, this block also produces a ramp
for the slope compensation to improve regulator stability.
Current Mode Control
VCC
Oscillator
S
VC
−
+
Q
L
R
D1
Power Switch
VSW
PWM
Comparator
In Out
X5
CO
Driver
RLOAD
SUMMER
Slope Compensation
15 m
Figure 26. Current Mode Control Scheme
The NCP144X family incorporates a current mode
control scheme, in which the PWM ramp signal is derived
from the power switch current. This ramp signal is compared
to the output of the error amplifier to control the on−time of
the power switch. The oscillator is used as a fixed−frequency
clock to ensure a constant operational frequency. The
resulting control scheme features several advantages over
conventional voltage mode control. First, derived directly
from the inductor, the ramp signal responds immediately to
line voltage changes. This eliminates the delay caused by the
output filter and error amplifier, which is commonly found
in voltage mode controllers. The second benefit comes from
inherent pulse−by−pulse current limiting by merely
clamping the peak switching current. Finally, since current
mode commands an output current rather than voltage, the
filter offers only a single pole to the feedback loop. This
allows both a simpler compensation and a higher
gain−bandwidth over a comparable voltage mode circuit.
Without discrediting its apparent merits, current mode
control comes with its own peculiar problems, mainly,
subharmonic oscillation at duty cycles over 50%. The
NCP144X family solves this problem by adopting a slope
compensation scheme in which a fixed ramp generated by
the oscillator is added to the current ramp. A proper slope
rate is provided to improve circuit stability without
sacrificing the advantages of current mode control.
Error Amplifier
200 k
NFB
250 k
2.0 V
+
NCP1443/5
−
negative error−amp
FB
1.276 V +
−
NCP1442/4
VC
1M
120 pF
Voltage
Clamp
C1
0.01 F
R1
5 k
positive error−amp
Figure 28. Error Amplifier Equivalent Circuit
For NCP1443/5, the NFB pin is internally referenced to
−2.475 V with approximately a 250 k input impedance.
For NCP1442/4, the FB pin is directly connected to the
inverting input of the positive error amplifier, whose
non−inverting input is fed by the 1.276 V reference. Both
amplifiers are transconductance amplifiers with a high
output impedance of approximately 1.0 M, as shown in
Figure 28. The VC pin is connected to the output of the error
amplifiers and is internally clamped between 0.5 V and
1.7 V. A typical connection at the VC pin includes a capacitor
in series with a resistor to ground, forming a pole/zero for
loop compensation.
An external shunt can be connected between the VC pin
and ground to reduce its clamp voltage. Consequently, the
current limit of the internal power transistor current is
reduced from its nominal value.
Oscillator and Shutdown
Sync
Current
Ramp
VSW
Figure 27. Timing Diagram of Sync and Shutdown
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10
NCP1442, NCP1443, NCP1444, NCP1445
Switch Driver and Power Switch
output through the inductor and diode. Once VCC reaches
approximately 1.5 V, the internal power switch briefly turns
on. This is a part of the NCP144X’s normal operation. The
turn−on of the power switch accounts for the initial current
swing.
When the VC pin voltage rises above the threshold, the
internal power switch starts to switch and a voltage pulse can
be seen at the VSW pin. Detecting a low output voltage at the
FB pin, the built−in frequency shift feature reduces the
switching frequency to a fraction of its nominal value,
reducing the minimum duty cycle, which is otherwise
limited by the minimum on−time of the switch. The peak
current during this phase is clamped by the internal current
limit.
When the FB pin voltage rises above 0.4 V, the frequency
increases to its nominal value, and the peak current begins
to decrease as the output approaches the regulation voltage.
The overshoot of the output voltage is prevented by the
active pull−on, by which the sink current of the error
amplifier is increased once an overvoltage condition is
detected. The overvoltage condition is defined as when the
FB pin voltage is 50 mV greater than the reference voltage.
The switch driver receives a control signal from the logic
section to drive the output power switch. The switch is
grounded through emitter resistors (15 m total) to the
GND pin. The peak switching current is clamped by an
internal circuit. The clamp current is guaranteed to be
greater than 4.0 A and varies with duty cycle due to slope
compensation. The power switch can withstand a maximum
voltage of 40 V on the collector (VSW pin). The saturation
voltage of the switch is typically less than 1.0 V to minimize
power dissipation.
Short Circuit Condition
When a short circuit condition happens in a boost circuit,
the inductor current will increase during the whole
switching cycle, causing excessive current to be drawn from
the input power supply. Since control ICs don’t have the
means to limit load current, an external current limit circuit
(such as a fuse or relay) has to be implemented to protect the
load, power supply and ICs.
In other topologies, the frequency shift built into the IC
prevents damage to the chip and external components. This
feature reduces the minimum duty cycle and allows the
transformer secondary to absorb excess energy before the
switch turns back on.
COMPONENT SELECTION
Frequency Compensation
The goal of frequency compensation is to achieve
desirable transient response and DC regulation while
ensuring the stability of the system. A typical compensation
network, as shown in Figure 30, provides a frequency
response of two poles and one zero. This frequency response
is further illustrated in the Bode plot shown in Figure 31.
IL
VOUT
VCC
VC
VC
R1
NCP1442/3/4/5
C2
C1
GND
Figure 29. Startup Waveforms of Circuit Shown in
the Application Diagram. Load = 400 mA.
Figure 30. A Typical Compensation Network
The NCP144X can be activated by either connecting the
VCC pin to a voltage source or by enabling the SS pin.
Startup waveforms shown in Figure 29 are measured in the
boost converter demonstrated in the Block Diagram
(Figure 2). Recorded after the input voltage is turned on, this
waveform shows the various phases during the power up
transition.
When the VCC voltage is below the minimum supply
voltage, the VSW pin is in high impedance. Therefore,
current conducts directly from the input power source to the
The high DC gain in Figure 31 is desirable for achieving
DC accuracy over line and load variations. The DC gain of
a transconductance error amplifier can be calculated as
follows:
GainDC GM RO
where:
GM = error amplifier transconductance;
RO = error amplifier output resistance ≈ 1.0 M.
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11
NCP1442, NCP1443, NCP1444, NCP1445
The low frequency pole, fP1, is determined by the error
amplifier output resistance and C1 as:
1
fP1 2C1R
−VOUT
2V
NFB
The first zero generated by C1 and R1 is:
RIN
+
250 k
1
fZ1 2C1R1
R2
The phase lead provided by this zero ensures that the loop
has at least a 45° phase margin at the crossover frequency.
Therefore, this zero should be placed close to the pole
generated in the power stage which can be identified at
frequency:
−
Negative Error−Amp
Figure 32. Negative Error Amplifier and NFB Pin
It is shown that if R1 is less than 10 k, the deviation from
the design target will be less than 0.1 V. If the tolerances of
the negative voltage reference and NFB pin input current are
considered, the possible offset of the output VOFFSET varies
in the range of:
1
fP 2CORLOAD
where:
CO = equivalent output capacitance of the error amplifier
≈120pF;
RLOAD= load resistance.
The high frequency pole, fP2, can be placed at the output
filter’s ESR zero or at half the switching frequency. Placing
the pole at this frequency will cut down on switching noise.
The frequency of this pole is determined by the value of C2
and R1:
(R1 R2)
0.0.5 R2
(15 A R1) VOFFSET
0.0.5 (R1 R2)
(5 A R1)
R2
VSW Voltage Limit
In the boost topology, VSW pin maximum voltage is set by
the maximum output voltage plus the output diode forward
voltage. The diode forward voltage is typically 0.5 V for
Schottky diodes and 0.8 V for ultrafast recovery diodes:
1
fP2 2C2R1
One simple method to ensure adequate phase margin is to
design the frequency response with a −20 dB per decade
slope, until unity−gain crossover. The crossover frequency
should be selected at the midpoint between fZ1 and fP2 where
the phase margin is maximized.
DC Gain
RP
200 k
R1
O
VSW(MAX) VOUT(MAX)VF
where:
VF = output diode forward voltage.
In the flyback topology, peak VSW voltage is governed by:
VSW(MAX) VCC(MAX)(VOUTVF) N
fP1
where:
N = transformer turns ratio, primary over secondary.
When the power switch turns off, there exists a voltage
spike superimposed on top of the steady−state voltage.
Usually this voltage spike is caused by transformer leakage
inductance charging stray capacitance between the VSW and
GND pins. To prevent the voltage at the VSW pin from
exceeding the maximum rating, a transient voltage
suppressor in series with a diode is paralleled with the
primary windings. Another method of clamping switch
voltage is to connect a transient voltage suppressor between
the VSW pin and ground.
Gain (dB)
fZ1
fP2
Frequency (LOG)
Figure 31. Bode Plot of the Compensation Network
Shown in Figure 30
Negative Voltage Feedback
Since the negative error amplifier has finite input
impedance as shown in Figure 32, its induced error has to be
considered. If a voltage divider is used to scale down the
negative output voltage for the NFB pin, the equation for
calculating output voltage is:
VOUT 2.475 R2(R1 R2)10 A R1
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12
NCP1442, NCP1443, NCP1444, NCP1445
Magnetic Component Selection
IL
IIN
When choosing a magnetic component, one must consider
factors such as peak current, core and ferrite material, output
voltage ripple, EMI, temperature range, physical size and
cost. In boost circuits, the average inductor current is the
product of output current and voltage gain (VOUT/VCC),
assuming 100% energy transfer efficiency. In continuous
conduction mode, inductor ripple current is:
VCC
+
−
CIN
RESR
V (V
VCC)
IRIPPLE CC OUT
(f)(L)(VOUT)
where:
f = 280 kHz for NCP1442/3 and 560 kHz for NCP1444/5.
The peak inductor current is equal to average current plus
half of the ripple current, which should not cause inductor
saturation. The above equation can also be referenced when
selecting the value of the inductor based on the tolerance of
the ripple current in the circuits. Small ripple current
provides the benefits of small input capacitors and greater
output current capability. A core geometry like a rod or
barrel is prone to generating high magnetic field radiation,
but is relatively cheap and small. Other core geometries,
such as toroids, provide a closed magnetic loop to prevent
EMI.
Figure 34. Boost Circuit Effective Input Filter
The situation is different in a flyback circuit. The input
current is discontinuous and a significant pulsed current is
seen by the input capacitors. Therefore, there are two
requirements for capacitors in a flyback regulator: energy
storage and filtering. To maintain a stable voltage supply to
the chip, a storage capacitor larger than 20 F with low ESR
is required. To reduce the noise generated by the inductor,
insert a 1.0 F ceramic capacitor between VCC and ground
as close as possible to the chip.
Input Capacitor Selection
Output Capacitor Selection
In boost circuits, the inductor becomes part of the input
filter, as shown in Figure 34. In continuous mode, the input
current waveform is triangular and does not contain a large
pulsed current, as shown in Figure 33. This reduces the
requirements imposed on the input capacitor selection.
During continuous conduction mode, the peak to peak
inductor ripple current is given in the previous section. As
we can see from Figure 33, the product of the inductor
current ripple and the input capacitor’s effective series
resistance (ESR) determine the VCC ripple. In most
applications, input capacitors in the range of 10 F to
100 F with an ESR less than 0.3 work well up to a full
4.0 A switch current.
VOUT ripple
IL
Figure 35. Typical Output Voltage Ripple
VCC ripple
By examining the waveforms shown in Figure 35, we can
see that the output voltage ripple comes from two major
sources,
namely
capacitor
ESR
and
the
charging/discharging of the output capacitor. In boost
circuits, when the power switch turns off, IL flows into the
output capacitor causing an instant V = IIN × ESR. At the
same time, current IL − IOUT charges the capacitor and
increases the output voltage gradually. When the power
switch is turned on, IL is shunted to ground and IOUT
discharges the output capacitor. When the IL ripple is small
enough, IL can be treated as a constant and is equal to input
IIN
IL
Figure 33. Boost Input Voltage and Current
Ripple Waveforms
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13
NCP1442, NCP1443, NCP1444, NCP1445
current IIN. Summing up, the output voltage peak−peak
ripple can be calculated by:
VIN
VCC
(I IOUT)(1 D)
VOUT(RIPPLE) IN
(COUT)(f)
I
D
OUT
IIN ESR
(COUT)(f)
R2
VC
D1
The equation can be expressed more conveniently in
terms of VCC, VOUT and IOUT for design purposes as
follows:
R3
I
(V
VCC)
1
VOUT(RIPPLE) OUT OUT
(COUT)(f)
(COUT)(f)
R1
C1
(I
)(V
)(ESR)
OUT OUT
VCC
C2
The capacitor RMS ripple current is:
IRIPPLE (IIN IOUT)2(1 D)(IOUT)2(D)
IOUT
VCC
VOUTVCC
Figure 36. Current Limiting using a Diode Clamp
Another solution to the current limiting problem is to
externally measure the current through the switch using a
sense resistor. Such a circuit is illustrated in Figure 37.
Although the above equations apply only for boost
circuits, similar equations can be derived for flyback
circuits.
VCC
Reducing the Current Limit
In some applications, the designer may prefer a lower
limit on the switch current than 4.0 A. An external shunt can
be connected between the VC pin and ground to reduce its
clamp voltage. Consequently, the current limit of the
internal power transistor current is reduced from its nominal
value.
The voltage on the VC pin can be evaluated with the
equation:
PGND AGND
VC
−
+
VIN
R1
Q1
VC ISWREAV
R2
C1
C2
C3
where:
RE = .015 , the value of the internal emitter resistor;
AV = 5.0 V/V, the gain of the current sense amplifier.
Since RE and AV cannot be changed by the end user, the
only available method for limiting switch current below
4.0 A is to clamp the VC pin at a lower voltage. If the
maximum switch or inductor current is substituted into the
equation above, the desired clamp voltage will result.
A simple diode clamp, as shown in Figure 36, clamps the
VC voltage to a diode drop above the voltage on resistor R3.
Unfortunately, such a simple circuit is not generally
acceptable if VIN is loosely regulated.
RSENSE
Output
Ground
Figure 37. Current Limiting using a Current Sense
Resistor
The switch current is limited to:
VBE(Q1)
ISWITCH(PEAK) RSENSE
where:
VBE(Q1) = the base−emitter voltage drop of Q1, typically
0.65 V.
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14
NCP1442, NCP1443, NCP1444, NCP1445
The improved circuit does not require a regulated voltage
to operate properly. Unfortunately, a price must be paid for
this convenience in the overall efficiency of the circuit. The
designer should note that the input and output grounds are
no longer common. Also, the addition of the current sense
resistor, RSENSE, results in a considerable power loss which
increases with the duty cycle. Resistor R2 and capacitor C3
form a low−pass filter to remove noise.
The dashed box contains the normal compensation
circuitry to limit the bandwidth of the error amplifier.
Resistors R2 and R3 form a voltage divider off of the VSW
pin. In normal operation, VSW looks similar to a square
wave, and is dependent on the converter topology. Formulas
for calculating VSW in the boost and flyback topologies are
given in the section “VSW Voltage Limit.” The voltage on
VSW charges capacitor C3 when the switch is off, causing
the voltage at the VC pin to shift upwards. When the switch
turns on, C3 discharges through R3, producing a negative
slope at the VC pin. This negative slope provides the slope
compensation.
The amount of slope compensation added by this circuit
is
Subharmonic Oscillation
Subharmonic oscillation (SHM) is a problem found in
current−mode control systems, where instability results
when duty cycle exceeds 50%. SHM only occurs in
switching regulators with a continuous inductor current.
This instability is not harmful to the converter and usually
does not affect the output voltage regulation. SHM will
increase the radiated EM noise from the converter and can
cause, under certain circumstances, the inductor to emit
high−frequency audible noise.
SHM is an easily remedied problem. The rising slope of
the inductor current is supplemented with internal “slope
compensation” to prevent any duty cycle instability from
carrying through to the next switching cycle. In the
NCP144X family, slope compensation is added during the
entire switch on−time, typically in the amount of
180 mA/s.
In some cases, SHM can rear its ugly head despite the
presence of the onboard slope compensation. The simple
cure to this problem is more slope compensation to avoid the
unwanted oscillation. In that case, an external circuit, shown
in Figure 38, can be added to increase the amount of slope
compensation used. This circuit requires only a few
components and is “tacked on” to the compensation
network.
VSW
1 e
R3
I V
SW R R
T
2
3
(1D)
R3C3fSW
SW
(1 fD)R
EAV
where:
I/T = the amount of slope compensation added (A/s);
VSW = the voltage at the switch node when the transistor
is turned off (V);
fSW = the switching frequency, typically 280 kHz
(NCP1442/3) or 560 kHz (NCP1444/5) (Hz);
D = the duty cycle;
RE = 0.015 , the value of the internal emitter resistor;
AV = 5.0 V/V, the gain of the current sense amplifier.
In selecting appropriate values for the slope compensation
network, the designer is advised to choose a convenient
capacitor, then select values for R2 and R3 such that the
amount of slope compensation added is 100 mA/s. Then
R2 may be increased or decreased as necessary. Of course,
the series combination of R2 and R3 should be large enough
to avoid drawing excessive current from VSW. Additionally,
to ensure that the control loop stability is improved, the time
constant formed by the additional components should be
chosen such that:
VSW
R3C3 1 D
fSW
VC
R1
Finally, it is worth mentioning that the added slope
compensation is a trade−off between duty cycle stability and
transient response. The more slope compensation a designer
adds, the slower the transient response will be, due to the
external circuitry interfering with the proper operation of the
error amplifier.
R2
C1
C2
C3
Soft−Start
Through the addition of an external circuit, a soft−start
function can be added to the NCP1442/3/4/5 family of
components. Soft−start circuitry prevents the VC pin from
slamming high during startup, thereby inhibiting the
inductor current from rising at a high slope.
This circuit, shown in Figure 39, requires a minimum
number of components and allows the soft−start circuitry to
activate any time the SS pin is used to restart the converter.
R3
Figure 38. Technique for Increasing Slope
Compensation
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15
NCP1442, NCP1443, NCP1444, NCP1445
The internal control circuitry, including the oscillator and
linear regulator, requires a small amount of power even
when the switch is turned off. The specifications section of
this datasheet reveals that the typical operating current, IQ,
due to this circuitry is 5.5 mA. Additional guidance can be
found in the graph of operating current vs. temperature. This
graph shows that IQ is strongly dependent on input voltage,
VIN, and the ambient temperature, TA. Then:
VIN
VCC
SS
SS
VC
D1
PBIAS VINIQ
D2
Since the onboard switch is an NPN transistor, the base
drive current must be factored in as well. This current is
drawn from the VIN pin, in addition to the control circuitry
current. The base drive current is listed in the specifications
as ICC/ISW, or switch transconductance. As before, the
designer will find additional guidance in the graphs. With
that information, the designer can calculate:
R1
C1
C3
C2
I
PDRIVER VINISW CC D
ISW
Figure 39. Soft−Start
where:
ISW = the current through the switch;
D = the duty cycle or percentage of switch on−time.
ISW and D are dependent on the type of converter. In a
boost converter,
Resistor R1 and capacitors C1 and C2 form the
compensation network. At turn on, the voltage at the VC pin
starts to come up, charging capacitor C3 through Schottky
diode D2, clamping the voltage at the VC pin such that
switching begins when VC reaches the VC threshold,
typically 1.05 V (refer to graphs for detail over
temperature).
I
ISW(AVG) ILOAD D efficiency
V
VIN
D OUT
VOUT
VC VF(D2)VC3
Therefore, C3 slows the startup of the circuit by limiting
the voltage on the VC pin. The soft−start time increases with
the size of C3.
Diode D1 discharges C3 when SS is low. If the shutdown
function is not used with this part, the cathode of D1 should
be connected to VIN.
In a flyback converter,
V
I
I
ISW(AVG) OUT LOAD VIN
efficiency
D
VOUT
VOUT nnps VIN
where:
ns = number of turns in the transformer secondary winding.
np = number of turns in the transformer primary winding.
The switch saturation voltage, V(CE)SAT, is the last major
source of on−chip power loss. V(CE)SAT is the
collector−emitter voltage of the internal NPN transistor
when it is driven into saturation by its base drive current. The
value for V(CE)SAT can be obtained from the specifications
or from the graphs, as “Switch Saturation Voltage.” Thus,
Calculating Junction Temperature
To ensure safe operation of the NCP1442/3/4/5, the
designer must calculate the on−chip power dissipation and
determine its expected junction temperature. Internal
thermal protection circuitry will turn the part off once the
junction temperature exceeds 180°C ± 30°. However,
repeated operation at such high temperatures will ensure a
reduced operating life.
Calculation of the junction temperature is an imprecise
but simple task. First, the power losses must be quantified.
There are three major sources of power loss on the
NCP144X:
• biasing of internal control circuitry, PBIAS
• switch driver, PDRIVER
• switch saturation, PSAT
PSAT V(CE)SATISW D
Finally, the total on−chip power losses are:
PD PBIASPDRIVERPSAT
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16
NCP1442, NCP1443, NCP1444, NCP1445
surface of the chip might be considered to reduce TA. A
copper “landing pad” can be connected to ground −
designers are referred to ON Semiconductor applications
note SR006 for more information on properly sizing a
copper area.
Power dissipation in a semiconductor device results in the
generation of heat in the junctions at the surface of the chip.
This heat is transferred to the surface of the IC package, but
a thermal gradient exists due to the resistive properties of the
package molding compound. The magnitude of the thermal
gradient is expressed in manufacturers’ data sheets as JA,
or junction−to−ambient thermal resistance. The on−chip
junction temperature can be calculated if JA, the air
temperature near the surface of the IC, and the on−chip
power dissipation are known.
Circuit Layout Guidelines
In any switching power supply, circuit layout is very
important for proper operation. Rapidly switching currents
combined with trace inductance generates voltage
transitions that can cause problems. Therefore the following
guidelines should be followed in the layout.
TJ TA(PDJA)
where:
TJ = IC or FET junction temperature (°C);
TA = ambient temperature (°C);
PD = power dissipated by part in question (W);
JA = junction−to−ambient thermal resistance (°C/W).
1. In boost circuits, high AC current circulates within the
loop composed of the diode, output capacitor, and
on−chip power transistor. The length of associated
traces and leads should be kept as short as possible. In
the flyback circuit, high AC current loops exist on both
sides of the transformer. On the primary side, the loop
consists of the input capacitor, transformer, and
on−chip power transistor, while the transformer,
rectifier diodes, and output capacitors form another
loop on the secondary side. Just as in the boost circuit,
all traces and leads containing large AC currents
should be kept short.
2. Separate the low current signal grounds from the
power grounds. Use single point grounding or ground
plane construction for the best results.
3. Locate the voltage feedback resistors as near the IC as
possible to keep the sensitive feedback wiring short.
Connect feedback resistors to the low current analog
ground.
For ON Semiconductor components, the value for JA can
be found on page 19 of the datasheet, under “Package
Thermal Data.” Note that this value is different for every
package style and every manufacturer. For the NCP144X,
JA varies between 10−50°C/W, depending upon the size of
the copper pad to which the IC is mounted.
Once the designer has calculated TJ, the question of
whether the NCP144X can be used in an application is
settled. If TJ exceeds 150°C, the absolute maximum
allowable junction temperature, the NCP144X is not
suitable for that application.
If TJ approaches 150°C, the designer should consider
possible means of reducing the junction temperature.
Perhaps another converter topology could be selected to
reduce the switch current. Increasing the airflow across the
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17
NCP1442, NCP1443, NCP1444, NCP1445
ORDERING INFORMATION
Operating
Temperature Range
Package
Shipping†
NCP1442FR4
7 Lead PowerFLEX Short−Leaded
2000 Tape & Reel
NCP1442FR4G
7 Lead PowerFLEX Short−Leaded
(Pb−Free)
2000 Tape & Reel
7 Lead TO−220 (Straight Lead)
50 Units/Rail
7 Lead PowerFLEX Short−Leaded
2000 Tape & Reel
7 Lead PowerFLEX Short−Leaded
(Pb−Free)
2000 Tape & Reel
7 Lead TO−220 (Straight Lead)
50 Units/Rail
7 Lead PowerFLEX Short−Leaded
2000 Tape & Reel
7 Lead TO−220 (Straight Lead)
50 Units/Rail
7 Lead PowerFLEX Short−Leaded
2000 Tape & Reel
7 Lead TO−220 (Straight Lead)
50 Units/Rail
Device
NCP1442T
NCP1443FR4
NCP1443FR4G
0°C < TA < 85°C
NCP1443T
NCP1444FR4
NCP1444T
NCP1445FR4
NCP1445T
†For information on tape and reel specifications, including part orientation and tape sizes, please refer to our Tape and Reel Packaging
Specifications Brochure, BRD8011/D.
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18
NCP1442, NCP1443, NCP1444, NCP1445
PACKAGE DIMENSIONS
PowerFLEX
7−PIN
F SUFFIX
CASE 936J−01
ISSUE O
NOTES:
1. DIMENSIONS AND TOLERANCING PER ANSI
Y14.5M, 1982.
2. CONTROLLING DIMENSION: INCH.
3. DIMENSIONS A AND B DO NOT INCLUDE MOLD
FLASH OR GATE PROTRUSIONS. MOLD FLASH
AND GATE PROTRUSIONS NOT TO EXCEED
0.025 (0.635) MAX.
C
A
L
AE
B
J
M
P N
D 7 PL
DETAIL AG
G 7 PL
0.076 (0.003)
R
(TOP OFFSET)
S
−T−
K
V
SEATING
PLANE
R 0.25 (0.010)
H
THERMAL
DIE PAD
E
U
AF
F
R 0.20 (0.008)
W
AA
Y
DIM
A
B
C
D
E
F
G
H
J
K
L
M
N
P
R
S
U
V
W
Y
AA
AB
AC
AD
AE
AF
INCHES
MIN
MAX
0.350
0.360
0.350
0.360
0.070
0.080
0.026
0.030
0.005
0.015
0.031
0.041
0.050 BSC
0.008
0.012
0.410
0.420
0.365 00.375
0.040 REF
0.361
0.367
0.310
0.320
0.394
0.400
0.002
−−−
0.070
0.080
0.001
0.005
12 °
0.296 REF
0.075 REF
0.071 REF
0.140 REF
0.220 REF
0.281 REF
12 °
3°
6°
DETAIL AG
AB
AC
AD
PACKAGE THERMAL DATA
Parameter
PowerFLEX 7−PIN
Unit
RJC
Typical
1.0−4.0
°C/W
RJA
Typical
10−50*
°C/W
*Depending on thermal properties of substrate. RJA = RJC + RCA.
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19
MILLIMETERS
MIN
MAX
8.89
9.14
8.89
9.14
1.78
2.03
0.66
0.76
0.13
0.38
0.79
1.04
1.270 BSC
0.199
0.301
10.41
10.67
9.27
9.53
1.02 REF
9.16
9.31
7.87
8.13
10.00
10.16
0.05
−−−
1.78
2.03
0.03
0.13
12 °
7.52 REF
1.91 REF
1.81 REF
3.56 REF
5.58 REF
7.14 REF
12 °
3°
6°
NCP1442, NCP1443, NCP1444, NCP1445
PACKAGE DIMENSIONS
7 LEAD TO−220
T SUFFIX
CASE 821P−03
ISSUE B
C
E
A
M
N
Q
U
B
L
K
J
D
7 PL
G
H
6 PL
F
NOTES:
1. DIMENSIONING AND TOLERANCING PER ANSI
Y14.5M, 1982.
2. CONTROLLING DIMENSION: MILLIMETER.
3. 821P−01 AND −02 OBSOLETE. NEW
STANDARD IS 821P−03.
DIM
A
B
C
D
E
F
G
H
J
K
L
M
N
Q
U
MILLIMETERS
MIN
MAX
9.91
10.54
8.23
9.40
4.19
4.83
0.66
0.81
0.89
1.40
7.62 TYP
1.22
1.32
2.16
2.92
0.30
0.64
24.00
26.54
26.67
29.03
6.10
6.48
7°
−−−
3.53
3.96
4°
6°
INCHES
MIN
MAX
0.390
0.415
0.324
0.370
0.165
0.190
0.026
0.032
0.035
0.055
0.3 TYP
0.048
0.052
0.085
0.115
0.012
0.025
0.945
1.045
1.050
1.143
0.240
0.255
7°
−−−
0.139
0.156
4°
6°
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