AN-37 [ETC]
LinkSwitch-TN Design Guide ; 使用LinkSwitch -TN设计指南\n型号: | AN-37 |
厂家: | ETC |
描述: | LinkSwitch-TN Design Guide
|
文件: | 总16页 (文件大小:156K) |
中文: | 中文翻译 | 下载: | 下载PDF数据表文档文件 |
®
LinkSwitch-TN
Design Guide
Application Note AN-37
• Universal input – the same power supply/product can be
used worldwide
• High power density – smaller size, no µF’s of X class
capacitance needed
• High efficiency – Full load efficiencies >75% typical for
12 V output
• Excellent line and load regulation
• High efficiency at light load – ON/OFF control maintains
high efficiency even at light load
• Extremely energy efficient – input power <100 mW at no
load
• Entirely manufacturable in SMD
• More robust to drop test mechanical shock
• Fully fault protected (overload, short circuit and thermal
faults)
Introduction
LinkSwitch-TNcombinesahighvoltagepowerMOSFETswitch
with an ON/OFF controller in one device. It is completely self-
poweredfromtheDRAINpin,hasajitteredswitchingfrequency
for low EMI and is fully fault protected. Auto-restart limits
device and circuit dissipation during overload and output short
circuit while over temperature protection disables the internal
MOSFET during thermal faults. The high thermal shutdown
thresholdisidealforapplicationswheretheambienttemperature
is high while the large hysteresis protects the PCB and
surrounding components from high average temperatures.
LinkSwitch-TN is designed for any application where a non-
isolatedsupplyisrequiredsuchasappliances(coffeemachines,
rice cookers, dishwashers, microwave ovens etc.), nightlights,
emergency exit signs and LED drivers. LinkSwitch-TN can be
configured in all common topologies to give a line or neutral
referencedoutputandaninvertedornon-invertedoutputvoltage
- ideal for applications using triacs for AC load control. Using
a switching power supply rather than a passive dropper
(capacitive or resistive) gives a number of advantages, some of
which are listed below.
• Scalable – LinkSwitch-TN family allows the same basic
design to be used from <50 mA to 360 mA
Scope
This application note is for engineers designing a non-isolated
power supply using the LinkSwitch-TN family of devices. This
DFB
RFB
CBP
RBIAS
CFB
RF DIN2
LIN
FB
BP
S
+
D
L
LinkSwitch-TN
CIN2
AC
Input
VO
DFW
CO
RPL
CIN1
DIN2
PI-3764-121003
1 (a)
DFB
RFB
CBP
RBIAS
CFB
RF DIN1
LIN
FB
BP
S
D
DFW
LinkSwitch-TN
CIN2
AC
Input
L
VO
CO
RPL
CIN1
+
DIN2
PI-3765-121003
1 (b)
Figure 1 (a). Basic Configuration using LinkSwitch-TN in a Buck Converter. Figure 1 (b) Basic Configuration using LinkSwitch-TN in a
Buck-Boost Converter.
January 2004
AN-37
document describes the design procedure for buck and buck-
boost converters using the LinkSwitch-TN family of integrated
off-line switchers. The objective of this document is to provide
power supply engineers with guidelines in order to enable them
to quickly build efficient and low cost buck or buck-boost
converter based power supplies using low cost off-the-shelf
inductors. Complete design equations are provided for the
selection of the converter’s key components. Since the power
MOSFET and controller are integrated into a single IC the
design process is greatly simplified, the circuit configuration
has few parts and no transformer is required. Therefore a quick
startsectionisprovidedthatallowsoff-the-shelfcomponentsto
be selected for common output voltages and currents.
Quick Start
Readers wanting to start immediately can use the following
information to quickly select the components for a new design,
using Figure 1 and Tables 1 and 2 as references.
1) For AC input designs select the input stage (Table 9).
2) Select the topology (Tables 1 and 2).
- If better than ±10% output regulation is required,
then use opto coupler feedback with suitable reference.
3) Select the LinkSwitch-TN device, L, RFB or VZ, RBIAS, CFB,
RZ and the reverse recovery time for DFW
(Table 3: Buck, table 4:Buck-Boost).
4) Select freewheeling diode to meet trr determined in step 3
(Table 5).
In addition to this application note a design spreadsheet is
available within the PIXls tool in the PI Expert design software
suite. The reader may also find the LinkSwitch-TN DAK
engineering prototype board useful as an example of a working
supply. Further details of support tools and updates to this
document can be found at www.powerint.com.
5) For direct feedback designs, if the minimum load < 3 mA
then calculate RPL = VO / 3 mA.
•
6) Select CO as 100 µF, 1.25 VO, low ESR type.
7) Construct prototype and verify design.
TOPOLOGY
BASIC CIRCUIT SCHEMATIC
KEY FEATURES
High-Side
Buck –
Direct
1) Output referenced to input
2) Positive output (VO) with respect to -VIN
3) Step down – VO < VIN
FB
BP
S
Feedback
4) Low cost direct feedback (±10% typ.)
D
+
+
LinkSwitch-TN
VIN
VO
PI-3751-121003
High-Side
Buck Boost –
Direct
1) Output referenced to input
2) Negative output (VO) with respect to -VIN
3) Step down – VO > VIN or VO < VIN
4) Low cost direct feedback (± 10% typ.)
5) Fail-safe – output is not subjected to input
voltage if the internal MOSFET fails
6) Ideal for driving LEDs – better accuracy and
temperature stability than low-side Buck
constant current LED driver
Feedback
FB
BP
S
D
+
LinkSwitch-TN
VIN
VO
+
PI-3794-121503
Notes
1. Low cost, directly sensed feedback typically achieves overall regulation tolerance of ± 10%.
2. To ensure output regulation a pre-load may be required to maintain a minimum load current of 3 mA (Buck and Buck-Boost only).
3. Boost topology (step up) also possible but not shown.
Table 1. LinkSwitch-TN Circuit Configurations Using Directly Sensed Feedback.
A
1/04
2
AN-37
TOPOLOGY
BASIC CIRCUIT SCHEMATIC
KEY FEATURES
High-Side
Buck –
Optocoupler
Feedback
1) Output referenced to input
2) Positive output (VO) with respect to -VIN
3) Step down – VO < VIN
FB
BP
S
D
+
+
RZ
4) Optocoupler feedback
LinkSwitch-TN
- Accuracy only limited by reference choice
- Low cost non-safety rated optocoupler
- No pre-load required
VIN
VO
VZ
5) Minimum no-load consumption
PI-3796-121903
Low-Side
Buck –
Optocoupler
Feedback
1) Output referenced to input
2) Negative output (VO) with respect to +VIN
3) Step down – VO < VIN
+
+
RZ
LinkSwitch-TN
VIN
VO
4) Optocoupler feedback
VZ
- Accuracy only limited by reference choice
- Low cost non-safety rated optocoupler
- No pre-load required
BP
FB
D
S
PI-3797-121903
Low-Side
1) Output referenced to input
+
Buck Boost –
Optocoupler
Feedback
VZ
2) Positive output (VO) with respect to +VIN
3) Step up/down – VO > VIN or VO < VIN
4) Optocoupler feedback
LinkSwitch-TN
VIN
VO
RZ
- Accuracy only limited by reference choice
- Low cost non-safety rated optocoupler
- No pre-load required
BP
FB
+
D
S
PI-3798-121903
5) Fail-safe – output is not subjected to input
voltage if the internal MOSFET fails
6) Minimum no-load consumption
Notes
1. Performance of opto feedback only limited by accuracy of reference (Zener or IC).
2. Optocoupler does not need to be safety approved.
3. Reference bias current provides minimum load. The value of RZ is determined by Zener test current or reference IC bias current.
Typically 470 Ω to 2 kΩ, 1/8 W, 5%
4. Boost topology (step-up) is also possible but not shown.
5. Optocoupler feedback provides lowest no-load consumption.
Table 2. LinkSwitch-TN Circuit Configurations Using Optocoupler Feedback.
A
1/04
3
AN-37
INDUCTOR
TOKIN
VOUT IOUT(MAX)
LNK30X MODE DIODE trr
RFB
VZ
µH IRMS (mA)
COILCRAFT
MDCM
CCM
≤120
160
175
225
280
360
680 220
680 230
680 320
680 340
680 440
680 430
SBC2-681-211
SBC2-681-211
SBC3-681-211
SBC4-681-211
SBC4-681-211
SBC4-681-211
RFB0807-681
RFB0807-681
RFB0810-681
RFB0810-681
RFB0810-681
RFB0810-681
≤75 ns
≤35 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK304
LNK305
LNK306
MDCM
CCM
3.84 kΩ 3.9 V
5
MDCM
CCM
MDCM
MDCM
CCM
≤85
120
160
175
225
280
360
680 180
1000 230
1500 320
680 340
1000 440
680 430
1500 400
SBC2-681-211
SBC3-102-281
SBC3-152-251
SBC3-681-361
SBC4-102-291
SBC4-681-431
SBC6-152-451
RFB0807-681
RFB0807-102
RFB0810-152
RFB0810-681
RFB0810-102
RFB0810-681
RFB1010-152
≤75 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK304
MDCM
CCM
11.86 kΩ 11 V
12
LNK305
LNK306
MDCM
CCM
MDCM
MDCM
CCM
≤70
120
160
175
225
280
360
680 160
1200 210
1800 210
820 310
1200 310
820 390
1500 390
SBC2-681-211
RFB0807-681
RFB0807-122
RFB0810-182
RFB0810-821
RFB1010-122
RFB1010-821
RFB1010-152
≤75 ns
≤75 ns
≤35 ns
LNK304
LNK305
-
-
-
-
MDCM
15
24
≤75 ns 15.29 kΩ 13 V
CCM
MDCM
CCM
≤35 ns
≤75 ns
≤35 ns
LNK306
-
SBC6-152-451
MDCM
MDCM
CCM
MDCM
CCM
≤50
120
160
175
225
280
360
680 130
1500 190
2200 180
1200 280
1500 280
1200 350
2200 360
SBC2-681-211
SBC4-152-221
SBC4-222-211
-
SBC6-152-451
-
RFB0807-681
RFB0810-152
RFB0810-222
RFB0810-122
RFB1010-152
RFB1010-122
-
≤75 ns
≤75 ns
≤35 ns
LNK304
LNK305
25.6 kΩ 22 V
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK306
MDCM
CCM
SBC6-222-351
Other Standard Components
RBIAS: 2 kΩ, 1%, 1/8 W
CBP: 0.1 µF, 50 V Ceramic
•
CFB: 10 µF, 1.25 VO
DFB: 1N4005GP
RZ:
470 Ω to 2 kΩ, 1/8 W, 5%
Table 3. Components Quick Select for Buck Converters.
A
1/04
4
AN-37
INDUCTOR
TOKIN
VOUT IOUT(MAX)
LNK30X MODE DIODE trr
RFB
VZ
µH IRMS (mA)
COILCRAFT
MDCM
≤75 ns
≤120
160
175
225
280
360
680 220
680 230
680 340
680 320
680 440
680 430
SBC2-681-211
SBC2-681-211
SBC3-681-361
SBC4-681-431
SBC4-681-431
SBC4-681-431
RFB0807-681
RFB0807-681
RFB0810-681
RFB0810-681
RFB0810-681
RFB0810-681
LNK304
CCM
≤35 ns
MDCM
CCM
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK305
LNK306
3.84 kΩ 3.9 V
5
MDCM
CCM
MDCM
MDCM
CCM
MDCM
CCM
≤70
120
160
175
225
280
360
680 180
1200 220
1800 210
820 320
1200 310
820 410
1800 410
SBC2-681-211
RFB0807-681
RFB1010-122
RFB0807-182
RFB0807-821
RFB0810-122
RFB0810-821
RFB1010-182
≤75 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK304
-
-
-
-
-
-
11.86 kΩ 11 V
12
15
24
LNK305
LNK306
MDCM
CCM
MDCM
MDCM
≤50
120
160
175
225
280
360
680 180
1500 220
2200 220
1000 320
1500 320
1200 400
2200 410
SBC2-681-211
SBC3-152-251
SBC4-222-211
SBC4-102-291
SBC4-152-251
-
RFB0807-681
RFB0807-152
RFB0810-222
RFB0810-102
RFB0810-152
RFB0810-122
RFB1010-222
≤75 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK304
LNK305
CCM
MDCM
15.29 kΩ 13 V
CCM
LNK306 MDCM
CCM
SBC6-222-351
≤35
120
160
175
225
280
360
680 180
2200 210
3300 210
1800 300
2200 290
1800 370
3300 410
SBC2-681-211
SBC3-222-191
SBC4-332-161
RFB0807-681
RFB0810-222
RFB0810-332
RFB0810-182
RFB1010-222
RFB1010-182
-
MDCM
MDCM
CCM
MDCM
CCM
MDCM
CCM
≤75 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
≤75 ns
≤35 ns
LNK304
25.6 kΩ 22 V
-
LNK305
LNK306
SBC4-222-211
-
-
Other Standard Components
RBIAS: 2 kΩ, 1%, 1/8 W
CBP: 0.1 µF, 50 V Ceramic
•
CFB: 10 µF, 1.25 VO
DFB: 1N4005GP
RZ:
470 Ω to 2 kΩ, 1/8 W, 5%
Table 4. Components Quick Select for Buck-Boost Converters.
V
I
t
rr
RRM
F
PART NO.
MANUFACTURER
PACKAGE
(V)
600
600
600
600
600
600
600
(A)
1
(ns)
50
75
30
35
20
20
75
MUR160
UF4005
BYV26C
FE1A
Leaded
Leaded
Leaded
Leaded
Leaded
SMD
Vishay
Vishay
1
1
Vishay/Philips
Vishay
1
STTA10 6
STTA10 6U
US1J
1
ST Microelectronics
ST Microelectronics
Vishay
1
1
SMD
Table 5. List of Ultra-Fast Diodes Suitable for use as the Freewheeling Diode.
A
1/04
5
AN-37
To regulate the output, an ON/OFF control scheme is used as
illustrated in Table 6. As the decision to switch is made on a
cycle by cycle basis, the resultant power supply has extremely
good transient response and removes the need for control loop
compensationcomponents. Ifnofeedbackisreceivedfor50ms
then the supply enters auto restart.
LinkSwitch-TN Circuit Design
LinkSwitch-TN Operation
The basic circuit configuration for a Buck converter using
LinkSwitch-TN is shown in Figure 1a.
= MOSFET
Enabled
Reference
Schematic
and Key
FB
BP
S
D
+
+
LinkSwitch-TN
VIN
VO
= MOSFET
Disabled -
Cycle Skipped
PI-3784-121603
ID
At beginning of each cycle the FEEDBACK
(FB) pin is sampled.
• If IFB < 49 µA then next cycle occurs
• If IFB > 49 µA then next switching cycle
is skipped
Is IFB
>49 µA?
No
No Yes
No
No
Yes Yes No
Normal
Operation
High load – few cycles skipped
Low load – many cycles skipped
PI-3767-121903
IFB < 49 µA, > 50 ms
= Auto Restart
If no feedback (IFB < 49 µA) for > 50 ms
then output switching is disabled for
approximately 800 ms.
Auto Restart
50 ms
800 ms
Auto Restart = 50 ms ON / 800 ms OFF
PI-3768-121603
Table 6. LinkSwitch-TN Operation.
A
1/04
6
AN-37
To allow direct sensing of the output voltage, without the need
forareference(ZenerdiodeorreferenceIC), theFBpinvoltage
is tightly toleranced over the entire operating temperature
range. For example, this allows a 12 V design with an overall
output tolerance of ±10%. For higher performance, an opto-
coupler can be used with a reference as shown in table 2. Since
the optocoupler just provides level shifting, it does not need to
be safety rated or approved. The use of an optocoupler also
allows flexibility in the location of the device, for example it
allows a buck converter configuration with the LinkSwitch-TN
in the low side return rail, reducing EMI as the SOURCE pins
and connected components are no longer part of the switching
node.
freewheeling diode, and the average current through the output
inductor are slightly lower in the Buck topology as compared to
the Buck-Boost topology.
Selecting the Operating Mode – MDCM and CCM
Operation
At the start of a design, select between mostly discontinuous
conduction mode (MDCM) and continuous conduction mode
(CCM) as this decides the selection of the LinkSwitch-TN
device, freewheeling diode and inductor. For maximum output
currentselectCCM,forallothercasesMDCMisrecommended.
Overall, select the operating mode and components to give the
lowest overall solution cost. Table 7 summarizes the trade-offs
between the two operating modes.
Selecting the Topology
IfpossibleusetheBucktopology, theBucktopologymaximizes
the available output power from a given LinkSwitch-TN and
inductor value. Also, the voltage stress on the power switch and
Additional differences between CCM and MDCM include
better transient response for DCM and lower output ripple (for
same capacitor ESR) for CCM. However these differences, at
COMPARISON OF CCM AND MDCM OPERATING MODES
OPERATING MODE
MDCM
CCM
IL
IL
IO
IO
Operating
Description
t
t
tON
tOFF
tIDLE
tON
tOFF
PI-3769-121803
PI-3770-121503
Inductor current falls to zero during tOFF
,
Current flows continuously in the inductor for
Borderline between MDCM and CCM when the entire duration of a switching cycle.
tIDLE = 0.
Lower Cost
Lower value, smaller size.
Higher Cost
Higher value, larger size.
Inductor
Lower Cost
75 ns ultra-fast reverse recovery type
(≤35 ns for ambient >70 °C).
Higher Cost
35 ns ultra-fast recovery type required.
Freewheeling
Diode
Potentially Higher Cost
Potentially Lowest Cost
May require larger device to deliver required May allow smaller device to deliver required
LinkSwitch-TN
output current–depends on required output
current.
output current–depends on required output
current.
Higher Efficiency
Lower switching losses.
Lower Efficiency
Higher switching losses.
Efficiency
Overall
Typically Lower Cost
Typically Higher Cost
Table 7. Comparison of Mostly Discontinuous Conduction (MDCM) and Continuous Conduction (CCM) Modes of Operation.
A
1/04
7
AN-37
the low output currents of LinkSwitch-TN applications, are
Output Power, PO: in Watts.
normally not significant.
Power supply efficiency, η: 0.7 for a 12 V output, 0.55 for a
5 V output if no better reference data available.
The conduction mode CCM or MDCM of a Buck or Buck-
Boost converter primarily depends on input voltage, output
voltage, output current and device current limit. The input
voltage, output voltage and output current are fixed design
parameters therefore the LinkSwitch-TN (current limit) is the
only design parameter that sets the conduction mode.
Total Capacitance CIN(TOTAL)
µF/POUT (CIN1 + CIN2)
AC Input
Voltage (VAC)
Half Wave
Full Wave
Rectification
Rectification
100/115
230
6-8
1-2
6-8
3-4
1
The phrase “mostly discontinuous” is used as with on-off
control, since a few switching cycles may exhibit continuous
inductor current, the majority of the switching cycles will be in
the discontinuous conduction mode. A design can be made
fully discontinuous but that will limit the available output
current, making the design less cost effective.
Universal
3-4
Table 10. Suggested Total Input Capacitance Values for Different
Input Voltage Ranges.
Step 2. Determine AC Input Stage
Step-by-Step Design Procedure
The input stage comprises fusible resistor(s) input rectification
diodes and line filter network. The fusible resistor should be
chosen as flame proof and depending on the differential line
input surge requirements, a wire wound type may be required.
The fusible resistor(s) provides fuse safety, inrush current
limiting and differential mode noise attenuation.
Step 1. Determine System Requirements VACMIN
VACMAX, PO, VO, fL, η
,
Determine the input voltage range from Table 8.
Input (VAC)
100/115
230
VACMIN
85
VACMAX
132
For designs ≤1 W it is lower cost to use half-wave rectification,
>1 W full wave rectification (smaller input capacitors). The
EMI performance of half wave rectified designs is improved by
adding a second diode in the lower return rail. This provides
EMI gating (EMI currents only flow when the diode is
conducting)andalsodoublesdifferentialsurgewithstandasthe
surge voltage is shared across two diodes. Table 9 shows the
recommendedinputstagebasedonoutputpowerforauniversal
input design while Table 10 shows how to adjust the input
capacitance for other input voltage ranges.
195
85
265
Universal
265
Table 8. Standard Worldwide Input Line Voltage Ranges.
Line Frequency, fL: 50 or 60 Hz, for half-wave rectification
use fL/2.
Output Voltage, VO: in Volts.
POUT
≤ 0.25 W
0.25-1 W
> 1 W
DIN1-4
LIN
**
+
+
+
LIN
**
+
RF1
DIN1
RF1
DIN1
RF1
DIN1
RF2
RF1
**
CIN
AC
IN
AC
IN
AC
IN
**
CIN1
CIN2
CIN1
CIN2
AC IN
CIN1
CIN2
*
*
*
*
DIN2
DIN2
DIN2
RF2
PI-3772-121603
PI-3771-121603
PI-3773-121603
PI-3774-121603
85-265 VAC
Input Stage
RF1, RF2: 100-470 Ω,
0.5 W, Fusible
RF1: 8.2 Ω, 1 W Fusible
RF2: 100 Ω, 0.5 W,
Flame proof
RF1: 8.2 Ω, 1 W Fusible
LIN: 470 µH-2.2 mH,
0.05 A-0.3 A
RF1: 8.2 Ω, 1 W Fusible
LIN: 470 µH-2.2 mH,
0.05 A-0.3 A
CIN: ≥2.2 µF, 400 V
DIN1, DIN2: 1N4007, 1 A,
1000 V
CIN1, CIN2: ≥3.3 µF,
400 V each
CIN1, CIN2: ≥4 µF/WOUT
400 V each
,
CIN1, CIN2: ≥2 µF/WOUT,
400 V each
DIN1, DIN2: 1N4007, 1 A,
1000 V
DIN1, DIN2: 1N4007, 1 A,
1000 V
DIN1, DIN2: 1N4005, 1 A,
600 V
*Optional for improved EMI and line surge performance. Remove for designs requiring no impedance in return rail.
**Increase value to meet required differential line surge performance.
Comments
Table 9. Recommended AC Input Stages For Universal Input.
A
1/04
8
AN-37
Step 3. Determine Minimum and Maximum DC Input
Voltages VMIN and VMAX Based on AC Input Voltage
Step 5. Select the Output Inductor
Tables3and4provideinductorvaluesandRMScurrentratings
for common output voltages and currents based on the
calculations in the design spreadsheet. Select the next nearest
higher voltage and/or current above the required output
specification. Alternatively the PIXls spreadsheet tool in the
PI Expert software design suite or Appendix A can be used to
calculate the exact inductor value (Eq. A7) and RMS current
rating (Eq. A20).
Calculate VMAX as
(1)
VMAX
= 2 ⋅VACMAX
Assuming that the value of input fusible resistor is small, the
voltage drop across it can be ignored.
Assume bridge diode conduction time of tc = 3 ms if no other
data available.
It is recommended that the value of inductor chosen should be
closer to LTYP rather than 1.5 LTYP due to lower DC resistance
•
Derive minimum input voltage VMIN
and higher RMS rating. The lower limit of 680 µH limits the
maximum di/dt to prevent very high peak current values.
Tables 3 and 4 provide reference part numbers for standard
inductors from two suppliers.
1
2 ⋅ P
− tC
O
2 ⋅ f
L
2
(2)
VMIN
=
2 ⋅V
ACMIN
(
)
680 µH < LTYP < L < 1.5⋅ LTYP
η ⋅CIN (TOTAL)
(5)
If VMIN is ≤70 V then increase value of CIN(TOTAL)
.
For LinkSwitch-TN designs the mode of operation is not
dependent on the inductor value. The mode of operation is a
function of load current and current limit of the chosen device,
theinductorvaluemerelysetstheaverageswitchingfrequency.
Step 4. Select LinkSwitch-TN Device Based on
Output Current and Current Limit
Decide on operating mode - refer to Table 7.
Figure 2 shows a typical standard inductor manufacturer’s data
sheet. The value of off-the-shelf “drum core / dog bone / I core”
inductors will drop up to 20% in value as the current increases.
TheconstantKL_TOL inequation(A7)andthedesignspreadsheet
adjusts for both this drop and the initial inductance value
tolerance.
For MDCM operation, the output current (IO) should be less
than or equal to half the value of the minimum current limit of
the chosen device from the data sheet.
(3)
ILIMIT _ MIN > 2 ⋅ IO
Forexampleifa680µH, 360mAinductorisrequired, referring
to Figure 2, the tolerance is 10% and an estimated 9.5% for the
reduction in inductance at the operating current (approximately
For CCM operation, the device should be chosen such that the
output current IO, is more than 50%, but less than 80% of the
•
minimum current limit ILIMIT_MIN
.
[0.36/0.38] 10). ThereforethevalueofKL_TOL =1.195(19.5%).
If no data is available assume a KL_TOL of 1.15 (15%).
0.5⋅ ILIMIT _ MIN < IO < 0.8⋅ ILIMIT _ MIN
(4)
Not all the energy stored in the inductor is delivered to the load,
due to losses in the inductor itself. To compensate for this a loss
Please see data sheet for LinkSwitch-TN current limit values.
Inductance and Current Rating
Current Rating
for 40 °C Rise
Current Rating
for Value -10%
Tolerance
for 20 °C Rise
SBC3 Series (SBC3-
Model
-
)
Inductance
Rdc
(W)
Rated Current
Current (Reference Value)
(A)
(A)
L(mH/ at 10 kHz
max.
∆T = 20 °C
∆T = 40 °C
L change rate -10%
681-361
102-281
152-251
222-191
332-151
680±10%
1000±10%
1500±10%
2200±10%
3300±10%
1.62
2.37
3.64
5.62
7.66
0.36
0.28
0.25
0.19
0.15
0.50
0.39
0.35
0.26
0.21
0.38
0.31
0.26
0.21
0.17
PI-3783-121003
Figure 2. Example of Standard Inductor Data Sheet.
A
1/04
9
AN-37
factor KLOSS is used. This has a recommended value of between
50%and66%ofthetotalsupplylossesasgivenbyequation(5).
For example, a design with an overall efficiency (η) of 0.75
would have a KLOSS value of between 0.875 and 0.833.
Let the value of RBIAS = 2 kΩ; this biases the feedback network
at a current of ∼0.8 mA. Hence the value of RFB is given by
V − V ⋅ R
V −1.65 V ⋅2 kΩ
VO − VFB
(
)
(
=
)
O
FB
BIAS
O
RFB
=
=
VFB
VFB + IFB ⋅ RBIAS
1.748 V
(
)
+ IFB
1− η
2 1− η
(
)
(
)
RBIAS
(6)
KLOSS = 1−
to 1−
(10)
2
3
Step 9. Select the Feedback Diode and Capacitor
Step 6. Select Freewheeling Diode
For the feedback capacitor, use a 10 µF general purpose
•
For MDCM operation at tAMB ≤70 °C, select an ultra-fast diode
with trr ≤75 ns. At tAMB >70 °C, trr ≤ 35 ns.
electrolytic capacitor with a voltage rating ≥1.25 VO.
For the feedback diode, use a glass passivated 1N4005GP or
•
For CCM operation, select an ultra-fast diode with trr ≤35 ns.
1N4937GP device with a voltage rating of ≥1.25 VMAX
Step 10. Select Bypass Capacitor
Use 0.1 µF, 50 V ceramic capacitor.
.
Allowing 25% design margin for the freewheeling diode,
(7)
VPIV > 1.25⋅VMAX
The diode must be able to conduct the full load current. Thus
Step 11. Select Pre-load Resistor
(8)
For direct feedback designs if the minimum load <3 mA then
calculate RPL = VO / 3 mA.
IF > 1.25⋅ IO
Table 5 lists common freewheeling diode choices.
Other information
Step 7. Select Output Capacitor
Startup Into Non-Resistive Loads
The output capacitor should be chosen based on the output
voltage ripple requirement. Typically the output voltage ripple
is dominated by the capacitor ESR and can be estimated as:
If the total system capacitance is >100 µF or the output voltage
is >12 V, then the output may fail to reach regulation during
start-up. Thismayalsobetruewhentheloadisnotresistive, for
example the output is supplying a motor or fan.
VRIPPLE
(9)
ESRMAX
=
ILIMIT
To increase the startup time, a soft-start capacitor can be added
across the feedback resistor, as shown in Figure 3. The value of
this soft-start capacitor is typically in the range of 0.47 µF to
where VRIPPLE is the maximum output ripple specification and
ILIMIT is the LinkSwitch-TN current limit. The capacitor ESR
value should be specified approximately at the switching
frequency of 66 kHz.
•
47 µF with a voltage rating of 1.25 VO. Figure 4 shows the
effect of CSS used on a 12 V, 150 mA design driving a motor
load.
Capacitor values above 100 µF are not recommended as they
can prevent the output voltage from reaching regulation during
the 50 ms period prior to auto-restart. If more capacitance is
required, then a soft-start capacitor should be added (see Other
Information section).
CSS
RFB
Step 8. Select the Feedback Resistors
FB
BP
S
The values of RFB and RBIAS are selected such that at the
regulated output voltage, the voltage on the FEEDBACK pin
(VFB) is 1.65 V. This voltage is specified for a FEEDBACK pin
current (IFB) of 49 µA.
D
+
+
LinkSwitch-TN
VIN
VO
PI-3775-121003
Figure 3. Example Schematic Showing Placement of Soft-Start
Capacitor.
A
1/04
10
AN-37
14
12
10
8
No soft-start capacitor. Output
never reaches regulation (in
auto-restart).
FB
BP
S
+7 V
D
+
LinkSwitch-TN
6V8
VIN
RTN
-5 V
6
4
5V1
PI-3776-121003
2
0
Figure 5. Example Circuit – Generating Dual Output Voltages.
-2
2.5
Time (s)
5
0
Generating Negative and Positive Outputs
Inapplianceapplicationsthereisoftenarequirementtogenerate
both an AC line referenced positive and negative output. This
can be accomplished using the circuit in Figure 5. The two
zener diodes have a voltage rating close to the required output
voltage for each rail and ensure that regulation is maintained
when one rail is lightly and the other heavily loaded. The
LinkSwitch-TN circuit is designed as if it were a single output
voltage with an output current equal to the sum of both outputs.
The magnitude sum of the output voltages in this example being
12 V.
14
12
10
8
6
4
2
Constant Current Circuit Configuration (LED Driver)
0
-2
The circuit shown in Figure 5 is ideal for driving constant
current loads such as LEDs. It uses the tight tolerance and
temperature stable FEEDBACK pin of LinkSwitch-TN as the
reference to provide an accurate output current.
2.5
Time (s)
5
0
14
12
10
8
RFB
300 Ω
Optional
See Text
VRFB DFB
RBIAS
2 kΩ
FB
BP
S
RSENSE
IO
6
4
D
+
DFW
LinkSwitch-TN
CSENSE
L
VIN
CO
2
0
PI-3795-122403
-2
Figure 6. High-Side Buck-Boost Constant Current Output
Configuration.
2.5
Time (s)
5
0
To generate a constant current output, the average output
current is converted to a voltage by resistor RSENSE and capacitor
Figure 4. Example of Using Soft-Start Capacitor to Enable Driving
a 12 V, 0.15 A Motor Load. All Measurements were made
at 85 VAC (worst case condition).
CSENSE and fed into the FEEDBACK pin via RFB and RBIAS
.
With the values of RBIAS and RFB as shown, the value of RSENSE
should be chosen to generate a voltage drop of 2 V at the
A
1/04
11
AN-37
required output current. Capacitor CSENSE filters the voltage
across RSENSE, which is modulated by inductor ripple current.
The value of CSENSE should be large enough to minimize the
ripple voltage, especially in MDCM designs. A value of CSENSE
is selected such that the time constant (t) of RSENSE and CSENSE is
greater than 20 times that of the switching period (15 µs). The
•
Recommended Layout Considerations
Traces carrying high currents should be as short in length and
thick in width, as possible. These are the traces which connect
the input capacitor, LinkSwitch-TN, inductor, freewheeling
diode and the output capacitor.
peak voltage seen by CSENSE is equal to RSENSE ILIMIT(MAX)
.
Most off-the-shelf inductors are drum core inductors or dog-
bone inductors. These inductors do not have a good closed
magneticpath,andareasourceofsignificantmagneticcoupling.
They are a source of differential mode noise and for this reason,
they should be placed as far away as possible from the AC input
lines.
The output capacitor is optional; however with no output
capacitor the load will see the full peak current (ILIMIT) of the
selected LinkSwitch-TN. Increase the value of CO (typically in
the range of 100 nF to 10 uF) to reduce the peak current to an
acceptable level for the load.
If the load is disconnected, feedback is lost and the large output
voltage which results may cause circuit failure. To prevent this,
a second voltage control loop, DFB and VRFB, can be added as
shown if Figure 6. This also requires that CO is fitted. The
voltage of the Zener is selected as the next standard value above
the maximum voltage across the LED string when it is in
constant current operation.
Appendix A
Calculations for Inductor Value for Buck and Buck-
Boost Topologies
There is a minimum value of inductance that is required to
deliver the specified output power, regardless of line voltage
and operating mode.
The same design equations / design spreadsheet can be used as
for a standard buck-boost design, with the following additional
considerations.
VIN-VO
VL
•
1. VO = LED VF Number of LEDs per string
t
•
2. IO = LED IF Number of strings
3. Lower efficiency estimate due to RSENSE losses (enter
VO
RSENSE into design spreadsheet as inductor resistance)
4. Set RBIAS = 2 kΩ and RFB = 300 Ω
5. RSENSE = 2/IO
ILimit
IL
•
6. CSENSE = 20 (15 µs/RSENSE
)
7. Select CO based on acceptable output ripple current
through the load
IO
t
8. If the load can be disconnected or for additional fault
protection, add voltage feedback components DFB and
VRFB, in addition to CO.
tON
tIDLE
tOFF
PI-3778-121803
Figure 7. Inductor Voltage and Inductor Current of a Buck
Converter in DCM.
Thermal Environment
As a general case, Figure 7 shows the inductor current in
discontinuous conduction mode (DCM). The following
expressions are valid for both CCM as well as DCM operation.
There are three unique intervals in DCM as can be seen from
Figure 7. Interval tON is when the LinkSwitch-TN is ON and the
freewheeling diode is OFF. Current ramps up in the inductor
fromaninitialvalueofzero.Thepeakcurrentisthecurrentlimit
ILIMIT of the device. Interval tOFF is when the LinkSwitch-TN is
OFF and the freewheeling diode is ON. Current ramps down to
zero during this interval. Interval tIDLE is when both the
LinkSwitch-TNandfreewheelingdiodeareOFF,andtheinductor
current is zero.
To ensure good thermal performance, the SOURCE pin
temperature should be maintained below 100 °C, by providing
adequate heatsinking.
For applications with high ambient temperature (>50 °C), it is
recommendedtobuildandtestthepowersupplyatthemaximum
operatingambienttemperature,andensurethatthereisadequate
thermal margin. The figures for maximum output current
providedinthedatasheet correspondtoanambienttemperature
of 50 °C, and may need to be thermally derated. Also, it is
recommended to use ultra fast (≤35 ns) low reverse recovery
diodes at higher operating temperatures (>70 °C).
A
1/04
12
AN-37
In CCM this idle state does not exist and thus tIDLE = 0.
1
2
IRIPPLE ⋅ LMIN
⋅ I
+ IINITIAL
(
)
LIMIT _ MIN
VMIN − VDS − VO
RIPPLE ⋅ LMIN
1
Neglecting the forward voltage drop of the freewheeling diode,
we can express the current swing at the end of interval tON in a
buck converter as
IO =
1
2
I
TSW _ MAX
+
⋅ I
(
+ IINITIAL
LIMIT _ MIN
)
VO
(A5)
VMIN − VDS − VO
∆I t
= I
=
⋅tON
(
)
ON
RIPPLE
2 ⋅ V ⋅ I ⋅ V
− VDS − VO
(
O ) (
)
LMIN
O
MIN
LMIN
=
2
2
I
− IINITIAL ⋅ FS
⋅ V
− VDS
(
)
(
)
LIMIT _ MIN
MIN
MIN
IRIPPLE = 2 ⋅ I
− IO tIDLE = 0 for CCM
(
)
)
(
)
LIMIT _ MIN
(A6)
IRIPPLE = ILIMIT _ MIN
,
tIDLE > 0 for DCM
(
(A1)
Thishoweverdoesnotaccountforthelosseswithintheinductor
(resistance of winding and core losses) and the freewheeling
diode,whichwilllimitthemaximumpowerdeliveringcapability
and thus reduce the maximum output current. The minimum
inductance must compensate for these losses in order to deliver
specified full load power. An estimate of these losses can be
made by estimating the total losses in the power supply, and
then allocating part of these losses to the inductor and diode.
This is done by the loss factor KLOSS which increases the size of
the inductor accordingly.
where
IRIPPLE = Inductor Ripple Current
ILIMIT_MIN = Minimum current limit
VMIN = Minimum DC Bus Voltage
VDS = On state Drain to Source Voltage drop
VO = Output Voltage
LMIN = Minimum Inductance
Similarly, we can express the current swing at the end of
interval tOFF as
Furthermore, typical inductors for this type of application are
bobbin core or dog bone chokes. The specified current rating
refertoatemperatureriseof20°Cor40°Candtoaninductance
drop of 10%. We must incorporate an Inductance Tolerance
FactorKL_TOL withintheexpressionforminimuminductance,to
accountforthismanufacturingtolerance. Thetypicalinductance
value thus can be expressed as
VO
∆I t
(
= I
=
⋅tOFF
)
OFF
RIPPLE
(A2)
LMIN
The initial current through the inductor at the beginning of each
switching cycle can be expressed as
IINITIAL = ILIMIT _ MIN − IRIPPLE
(A3)
VO ⋅ IO
2 ⋅ KL _ TOL
⋅
⋅ V
− VDS − VO
(
)
MIN
K
LOSS
LTYP
=
The average current through the inductor over one switching
cycle is equal to the output current IO. This current can be
expressed as
2
2
I
− IINITIAL ⋅ FS
⋅ V
− VDS
(
)
(
)
LIMIT _ MIN
MIN
MIN
(A7)
1
2
1
2
where
⋅ I
+ IINITIAL ⋅t
+
ON
⋅
(
)
LIMIT _ MIN
1
IO =
TSW _ MAX
KLOSS isalossfactor,whichaccountsfortheoff-statetotallosses
of the inductor.
I
+ IINITIAL ⋅t
+ 0 ⋅tIDLE
OFF
(
)
LIMIT _ MIN
(A4)
KL_TOL is the Inductor Tolerance Factor and can be between 1.1
and 1.2. A typical value is 1.15.
where
IO = Output Current.
TSW_MAX = the switching interval corresponding to minimum
switching frequency FSMIN
With this typical inductance we can express maximum output
power as
.
1
2
2
P
=
⋅ LTYP ⋅ I
− IINITIAL
LIMIT _ MIN
⋅
(
)
O _ MAX
2
Substituting for tON and tOFF from equations (A1) and (A2) we
have
VMIN − VDS
KLOSS
(A8)
FSMIN
⋅
⋅
VMIN − VDS − VO KL _ TOL
A
1/04
13
AN-37
SimilarlyforBuck-BoosttopologytheexpressionsforLTYP and
PO_MAX are
The current through the LinkSwitch-TN as a function of time is
given by
VMIN − VDS − VO
VO ⋅ IO
iSW t = I
( )
+
⋅t ,0 < t ≤ tON
2 ⋅ KL _ TOL
⋅
INITIAL
L
K
LOSS
LTYP
=
2
2
(A9)
I
− IINITIAL ⋅ FS
(
)
LIMIT _ MIN
MIN
iSW t = 0 ,t < t ≤ tON
( )
ON
(A14)
The current through the Freewheeling diode as a function of
time is given by
1
2
2
P
=
⋅ LTYP ⋅(ILIMIT _ MIN − IINITIAL
)
O _ MAX
(A10)
2
iD t = 0, 0 < t ≤ tON
( )
Average Switching Frequency
VO
iD t = I
( )
−
,tON < t ≤ tSW
LIMIT _ MIN
(A15)
(A16)
L
SinceLinkSwitch-TNusesanon-offtypeofcontrol,thefrequency
of switching is non-uniform due to cycle skipping. We can
average this switching frequency by substituting the maximum
powerastheoutputpowerinequation(A8).Simplifying,wehave
VO
L
iD t = 0, ILIMIT _ MIN
( )
−
⋅t < 0
And the current through the inductor as a function of time is
given by
2 ⋅VO ⋅ IO ⋅ KL _ TOL
VMIN − VDS − VO
VMIN − VDS
FSAVG
=
⋅
i t = i t + i
t
L ( ) SW ( ) D( )
(A17)
2
2
L ⋅ I
− IINITIAL K
LOSS
(
)
LIMIT
(A11)
From the definition of RMS currents we can express the RMS
currentsthroughtheswitch, freewheelingdiodeandinductoras
follows
Similarly for Buck-Boost converter, simplifying equation (A9)
we have
tON
1
iSW _ RMS
=
∫ iSW t
2 ⋅ dt
( )
(A18)
KL _ TOL
2 ⋅VO ⋅ IO
TAVG
0
FSAVG
=
⋅
2
2
KLOSS
L ⋅ I
− IINITIAL K
LOSS
(
)
LIMIT
(A12)
tON +tOFF
1
iD _ RMS
=
∫
iD t
2 ⋅ dt
( )
Calculation of RMS Currents
(A19)
(A20)
TAVG
tON
The RMS current value through the inductor is mainly required
to ensure that the inductor is appropriately sized and will not
over heat. Also, RMS currents through the LinkSwitch-TN and
freewheeling diode are required to estimate losses in the power
supply.
TAVG
1
iL _ RMS
=
∫
i
t + i t
2 ⋅ dt
SW ( ) ( )
D
(
)
TAVG
0
Since the switch and freewheeling diode currents fall to zero
during the turn off and turn on intervals respectively, the RMS
inductor current is simplified to
Assuming CCM operation, the initial current in the inductor in
steady state is given by
VO
2
2
IINITIAL = ILIMIT _ MIN
−
⋅tOFF
iL _ RMS = iSW _ RMS + iD _ RMS
(A13)
(A21)
L
For DCM operation this initial current will be zero.
A
1/04
14
AN-37
Table A1 lists the design equations for important parameters
using the Buck and Buck-Boost topologies.
PARAMETER BUCK
BUCK-BOOST
LTYP
VO ⋅ IO
VO ⋅ IO
2 ⋅ KL ⋅
2 ⋅ KL ⋅
⋅ V
− VDS − VO
(
)
MIN
K
K
L _ LOSS
L _ LOSS
LTYP
=
LTYP
=
2
2
2
2
I
− IINITIAL ⋅ FS
I
− IINITIAL ⋅ FS
⋅ V
− VDS
(
)
(
)
(
)
LIMIT _ MIN
MIN
LIMIT _ MIN
MIN
MIN
2 ⋅VO ⋅ IO ⋅ KL
VMIN − VDS − VO
VMIN − VDS
2 ⋅VO ⋅ IO
KL
KL _ LOSS
FAVG
FSTYP
=
⋅
FSAVG
=
⋅
2
2
2
L ⋅ I
− IINITIAL ⋅ K
L ⋅ I
− IINITIAL
(
)
(
)
LIMIT
L _ LOSS
LIMIT
iSW(t)
VMIN − VDS
VMIN − VDS − VO
iSW t = i
( )
+
⋅t ,t ≤ tON
iSW t = i
( )
+
⋅t ,t ≤ tON
INIT
INIT
LinkSwitch-TN
Current
L
L
iSW t = 0 ,t > t
( )
iSW t = 0 ,t > t
( )
ON
ON
VO
VO
iD t = I
( )
−
⋅t ,t > tON
id(t)
iD t = I
( )
−
⋅t ,t > tON
LIMIT _ MIN
LIMIT _ MIN
L
L
Diode
Forward
Current
VO
VO
L
iD t = 0 , I
( )
−
⋅t < 0
L
iD t = 0 , I
( )
−
⋅t < 0
LIMIT _ MIN
LIMIT _ MIN
iD t = 0 ,t ≤ t
( )
iD t = 0 ,t ≤ t
( )
ON
ON
iL(t) Inductor
Current
i t = i t + i
t
L ( ) SW ( ) D( )
i t = i t + i t
L ( ) SW ( ) D( )
Max Drain
Voltage
VMAX + VO
VMAX
Table A1. Circuit Characteristics for Buck and Buck-Boost Topologies.
A
1/04
15
AN-37
For the latest updates, visit our Web site: www.powerint.com
PATENT INFORMATION
Power Integrations reserves the right to make changes to its products at any time to improve reliability or manufacturability. Power Integrations does not
assume any liability arising from the use of any device or circuit described herein, nor does it convey any license under its patent rights or the rights of others.
The products and applications illustrated herein (including circuits external to the products and transformer construction) may be covered by one or more U.S.
and foreign patents or potentially by pending U.S. and foreign patent applications assigned to Power Integrations. A complete list of Power Integrations’ patents
may be found at www.powerint.com.
LIFE SUPPORT POLICY
POWER INTEGRATIONS' PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT DEVICES OR
SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF POWER INTEGRATIONS. As used herein:
1. Life support devices or systems which, (a) are intended for surgical implant into the body, or (b) support or sustain life, and whose failure to perform, when
properly used in accordance with instructions for use provided in the labeling, can be reasonably expected to result in a significant injury to the user.
2. A critical component is any component of a life support device or system whose failure to perform can be reasonably expected to cause the failure of the life
support device or system, or to affect its safety or effectiveness.
The PI logo, TOPSwitch, TinySwitch, LinkSwitch and EcoSmart are registered trademarks of Power Integrations.
PI Expert and DPA-Switch are trademarks of Power Integrations. ©Copyright 2004, Power Integrations
SINGAPORE (ASIA PACIFIC
HEADQUARTERS)
Power Integrations, Singapore
51 Newton Road
#15-08/10 Goldhill Plaza
Singapore, 308900
WORLD HEADQUARTERS
Power Integrations
5245 Hellyer Avenue
CHINA (SHENZHEN)
Power Integrations
ITALY
Power Integrations S.r.l.
Via Vittorio Veneto 12,
Bresso
Milano, 20091, Italy
Phone:
Fax:
International Holdings, Inc.
Rm# 1705, Bao Hua Bldg.
1016 Hua Qiang Bei Lu
Shenzhen Guangdong,
518031, China
San Jose, CA 95138, USA.
Main:
+1-408-414-9200
Customer Service:
+39-028-928-6001
+39-028-928-6009
Phone:
Fax:
+65-6358-2160
+65-6358-2015
Phone:
Fax:
+1-408-414-9665
+1-408-414-9765
Phone:
Fax:
+86-755-8367-5143
+86-755-8377-9610
e-mail: eurosales@powerint.com
e-mail: singaporesales@powerint.com
e-mail: usasales@powerint.com
e-mail: chinasales@powerint.com
AMERICAS
JAPAN
TAIWAN
GERMANY
Power Integrations
4335 South Lee Street,
Suite G
Power Integrations, K.K.
Keihin-Tatemono 1st Bldg.
12-20 Shin-Yokohama
2-Chome,
Kohoku-ku, Yokohama-shi,
Kanagawa 222-0033, Japan
Power Integrations
Power Integrations GmbH
Rueckerstrasse 3
D-80336, Muenchen, Germany
Phone: +49-895-527-3910
Fax: +49-895-527-3920
International Holdings, Inc.
5F-1, No. 316, Nei Hu Rd., Sec. 1
Nei Hu Dist.
Buford, GA 30518, USA
Phone:
Fax:
+1-678-714-6033
+1-678-714-6012
Taipei, Taiwan 114, R.O.C.
Phone:
Fax:
+886-2-2659-4570
+886-2-2659-4550
e-mail: eurosales@powerint.com
e-mail: usasales@powerint.com
Phone:
Fax:
+81-45-471-1021
+81-45-471-3717
e-mail: taiwansales@powerint.com
e-mail: japansales@powerint.com
UK (EUROPE & AFRICA
HEADQUARTERS)
Power Integrations (Europe) Ltd.
1st Floor, St. James’s House
East Street
CHINA (SHANGHAI)
Power Integrations
International Holdings, Inc.
Rm 807, Pacheer
INDIA (TECHNICAL SUPPORT)
Innovatech
261/A, Ground Floor
7th Main, 17th Cross,
Sadashivanagar
KOREA
Power Integrations
International Holdings, Inc.
8th Floor, DongSung Bldg.
17-8 Yoido-dong,
Commercial Centre
Farnham
Surrey
GU9 7TJ
United Kingdom
555 Nanjing West Road
Shanghai, 200041, China
Bangalore 560080
Youngdeungpo-gu,
Seoul, 150-874, Korea
Phone:
Fax:
+91-80-5113-8020
+91-80-5113-8023
Phone:
Fax:
+86-21-6215-5548
+86-21-6215-2468
Phone:
Fax:
+82-2-782-2840
+82-2-782-4427
e-mail: indiasales@powerint.com
Phone: +44 (0) 1252-730-140
Fax: +44 (0) 1252-727-689
e-mail: eurosales@powerint.com
e-mail: chinasales@powerint.com
e-mail: koreasales@powerint.com
APPLICATIONS HOTLINE
World Wide +1-408-414-9660
APPLICATIONS FAX
World Wide +1-408-414-9760
A
1/04
16
相关型号:
©2020 ICPDF网 联系我们和版权申明