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TPS61200DRCT

TPS61200DRCT

  • 厂商:

    BURR-BROWN(德州仪器)

  • 封装:

    VFDFN10_EP

  • 描述:

    IC REG BOOST ADJ 1.2A 10VSON

  • 数据手册
  • 价格&库存
TPS61200DRCT 数据手册
Sample & Buy Product Folder Support & Community Tools & Software Technical Documents TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 TPS6120x Low Input Voltage Synchronous Boost Converter With 1.3-A Switches 1 Features 3 Description • The TPS6120x devices provide a power supply solution for products powered by either a single-cell, two-cell, or three-cell alkaline, NiCd or NiMH, or onecell Li-Ion or Li-polymer battery. It is also used in fuel cell or solar cell powered devices where the capability of handling low input voltages is essential. Possible output currents depend on the input to output voltage ratio. The devices provide output currents of up to 600 mA at a 5-V output, while using a single-cell LiIon or Li-Polymer battery and discharges it down to 2.6 V. The boost converter is based on a fixed frequency, pulse-width-modulation (PWM) controller using synchronous rectification to obtain maximum efficiency. At low load currents, the converter enters the Power Save mode to maintain a high efficiency over a wide load current range. The Power Save mode can be disabled, forcing the converter to operate at a fixed switching frequency. The average input current is limited to a maximum value of 1500 mA. The output voltage is programmed by an external resistor divider, or is fixed internally on the chip. The converter can be disabled to minimize battery drain. During shutdown, the load is completely disconnected from the battery. The device is packaged in a 10-pin VSON package measuring 3 mm x 3 mm. 1 • • • • • • • • • • • • More than 90% Efficiency at – 300 mA Output Current at 3.3 V (VIN ≥ 2.4 V) – 600 mA Output Current at 5 V (VIN ≥ 3 V) Automatic Transition between Boost Mode and Down Conversion Mode Device Quiescent Current Less than 55 μA Startup into Full Load at 0.5 V Input Voltage Operating Input Voltage Range from 0.3 V to 5.5 V Programmable Undervoltage Lockout Threshold Output Short Circuit Protection Under all Operating Conditions Fixed and Adjustable Output Voltage Options from 1.8 V to 5.5 V Power Save Mode for Improved Efficiency at Low Output Power Forced Fixed Frequency Operation Possible Load Disconnect During Shutdown Overtemperature Protection Small 3 mm x 3 mm VSON-10 Package Device Information(1) 2 Applications • • • • • • • PART NUMBER All Single-Cell, Two-Cell and Three-Cell Alkaline, NiCd or NiMH or Single-Cell Li Battery Powered Products Fuel Cell And Solar Cell Powered Products Portable Audio Players PDAs Cellular Phones Personal Medical Products White LED Driver TPS6120x PACKAGE VSON (10) BODY SIZE (NOM) 3.00 mm × 3.00 mm (1) For all available packages, see the orderable addendum at the end of the datasheet. 4 Typical Application L1 2.2 mH VIN 0.3 V to 5.5 V VIN C1 L VOUT 10 mF EN VAUX PS UVLO FB GND PGND C3 R1 C2 10 mF 0.1 mF VOUT 1.8 V to 5.5 V R2 TPS61200 1 An IMPORTANT NOTICE at the end of this data sheet addresses availability, warranty, changes, use in safety-critical applications, intellectual property matters and other important disclaimers. PRODUCTION DATA. TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com Table of Contents 1 2 3 4 5 6 7 8 Features .................................................................. Applications ........................................................... Description ............................................................. Typical Application ................................................ Revision History..................................................... Device Options....................................................... Pin Configuration and Functions ......................... Specifications......................................................... 1 1 1 1 2 4 4 5 8.1 8.2 8.3 8.4 8.5 8.6 5 5 5 5 6 7 Absolute Maximum Ratings ...................................... ESD Ratings.............................................................. Recommended Operating Conditions....................... Thermal Information .................................................. Electrical Characteristics........................................... Typical Characteristics .............................................. 9 Parameter Measurement Information ................ 10 10 Detailed Description ........................................... 11 10.1 Overview ............................................................... 11 10.2 Functional Block Diagram ..................................... 11 10.3 Feature Description............................................... 12 10.4 Device Functional Modes...................................... 13 11 Application and Implementation........................ 14 11.1 Application Information.......................................... 14 11.2 Typical Application ............................................... 14 11.3 System Examples ................................................. 19 12 Power Supply Recommendations ..................... 20 13 Layout................................................................... 21 13.1 Layout Guidelines ................................................. 21 13.2 Layout Example .................................................... 21 13.3 Thermal Considerations ........................................ 21 14 Device and Documentation Support ................. 22 14.1 14.2 14.3 14.4 Related Links ........................................................ Trademarks ........................................................... Electrostatic Discharge Caution ............................ Glossary ................................................................ 22 22 22 22 15 Mechanical, Packaging, and Orderable Information ........................................................... 22 5 Revision History NOTE: Page numbers for previous revisions may differ from page numbers in the current version. Changes from Revision D (March 2013) to Revision E • Page Added ESD Ratings table, Feature Description section, Device Functional Modes, Application and Implementation section, Power Supply Recommendations section, Layout section, Device and Documentation Support section, and Mechanical, Packaging, and Orderable Information section .................................................................................................. 1 Changes from Revision C (September 2012) to Revision D • Page Changed the PS pin description From: Enable/disable Power Save mode (High = enabled, Low = disabled) To: Enable/disable Power Save mode (High = disabled, Low = enabled) ................................................................................... 4 Changes from Revision B (FEBRUARY 2008) to Revision C Page • Changed Feature From: Small 3 mm x 3 mm QFN-10 Package To: Small 3 mm x 3 mm SON-10 Package ...................... 1 • Changed Application From: White LED's To: White LED Driver ............................................................................................ 1 • Changed the Available Device Options Package type From: 10-PIN QFN To: 10-Pin SON ................................................. 4 • Changed VSS to VIN in the Recommended Operating Conditions table ................................................................................. 5 • Changed From: DISSIPATION RATINGS TABLE To: Thermal Information table ................................................................ 5 • Changed the Parameters and Test Conditions in the Electrical Characteristics table .......................................................... 6 • Updated Figure 1 through Figure 11 ...................................................................................................................................... 7 • Added C3 to the List of Components ................................................................................................................................... 14 • Added text to the Input Capacitor section "An R-C filter may be placed..." ......................................................................... 16 • Added Figure 26, Figure 27, and Figure 28 ......................................................................................................................... 19 • Added Figure 29 ................................................................................................................................................................... 21 2 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 Changes from Revision A (JUNE 2007) to Revision B • Page Added DSC package and tape and reel note to the Available Device Options. .................................................................... 4 Changes from Original (MARCH 2007) to Revision A Page • Changed Features bullet From: 600 mA Output Current at 3.3 V (VIN ≥ 1.2 V) To: 300 mA Output Current at 3.3 V (VIN ≥ 2.4 V)........................................................................................................................................................................... 1 • Changed Figure 6 label From: Power Save Disabled To: Power Save Enabled .................................................................. 7 • Changed Figure 7 label From: Power Save Enabled To: Power Save Disabled .................................................................. 8 Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 3 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 6 Device Options TA OUTPUT VOLTAGE (1) PART NUMBER (2) Adjustable TPS61200DRC 3.3 V TPS61201DRC 5V TPS61202DRC 5V TPS61202DSC –40°C to 85°C (1) (2) Contact the factory to check availability of other fixed output voltage versions. The DRC and the DSC package are available taped and reeled. Add R suffix to device type (e.g., TPS61200DRCR or TPS61202DSCR) to order quantities of 3000 devices per reel. It is also available in minireels. Add a T suffix to the device type (i.e. TPS61200DRCT or TPS61202DSCT) to order quantities of 250 devices per reel. 7 Pin Configuration and Functions DSC and DRC Package 10 Pins Top View VAUX VOUT L PGND VIN 1 2 3 10 Exposed Thermal Pad 9 8 4 7 5 6 FB GND PS UVLO EN Pin Functions PIN NAME NO. I/O DESCRIPTION EN 6 I Exposed thermal pad — — FB 10 I GND 9 — Control / logic ground PGND 4 — Power ground PS 8 I Enable/disable Power Save mode (High = disabled, Low = enabled). Do not leave floating. L 3 I Connection for Inductor UVLO 7 I Undervoltage lockout comparator input. Must be connected to VAUX if not used VAUX 1 I/O VIN 5 I Boost converter input voltage VOUT 2 O Boost converter output 4 Enable input (High = enabled, Low = disabled). Do not leave floating. Must be soldered to achieve appropriate power dissipation and mechanical reliability. Should be connected to PGND. Voltage feedback of adjustable versions, must be connected to VOUT at fixed output voltage versions Supply voltage for control stage Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 8 Specifications 8.1 Absolute Maximum Ratings over operating free-air temperature range (unless otherwise noted) (1) MIN MAX UNIT VIN Input voltage range on VIN, L, VAUX, VOUT, PS, EN, FB, UVLO –0.3 7 V TJ Operating junction temperature –40 150 °C Tstg Storage temperature –65 150 °C (1) Stresses beyond those listed under Absolute Maximum Ratings may cause permanent damage to the device. These are stress ratings only, and functional operation of the device at these or any other conditions beyond those indicated under Recommended Operating Conditions is not implied. Exposure to absolute-maximum-rated conditions for extended periods may affect device reliability. 8.2 ESD Ratings VALUE V(ESD) (1) (2) (3) Electrostatic discharge Human-body model (HBM), per ANSI/ESDA/JEDEC JS-001 (1) ±4000 Charged-device model (CDM), per JEDEC specification JESD22C101 (2) ±1500 Machine Model (MM) (3) ±200 UNIT V JEDEC document JEP155 states that 500-V HBM allows safe manufacturing with a standard ESD control process. Manufacturing with less than 500-V HBM is possible with the necessary precautions. JEDEC document JEP157 states that 250-V CDM allows safe manufacturing with a standard ESD control process. Manufacturing with less than 250-V CDM is possible with the necessary precautions. ESD testing is performed according to the respective JESD22 JEDEC standard. 8.3 Recommended Operating Conditions MIN VIN Input voltage at VIN 0.3 TA Operating free air temperature range TJ Operating junction temperature range NOM MAX UNIT 5.5 V –40 85 °C –40 125 °C 8.4 Thermal Information TPS6120x THERMAL METRIC (1) DRC DSC 10 PINS 10 PINS RθJA Junction-to-ambient thermal resistance 41.2 40.4 RθJC(top) Junction-to-case (top) thermal resistance 62.8 37.8 RθJB Junction-to-board thermal resistance 16.6 15.4 ψJT Junction-to-top characterization parameter 1.2 0.3 ψJB Junction-to-board characterization parameter 16.8 15.6 RθJC(bot) Junction-to-case (bottom) thermal resistance 4.1 2.8 (1) UNIT °C/W For more information about traditional and new thermal metrics, see the IC Package Thermal Metrics application report, SPRA953. Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 5 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 8.5 Electrical Characteristics over recommended junction temperature range and over recommended input voltage range (typical at an ambient temperature range of 25°C) (unless otherwise noted) PARAMETER TEST CONDITIONS MIN TYP MAX UNIT DC-DC STAGE VIN Input voltage range VIN Minimum input voltage at startup 0.3 VOUT TPS61200 output voltage range 1.8 VFB TPS61200 feedback voltage 495 VOUT TPS61201 output voltage VIN < VOUT, PS = High VOUT TPS61202 output voltage VIN < VOUT, PS = High f Oscillator frequency ILIM average inductor current limit VOUT = 3.3 V RDS(on) Rectifying switch on resistance VOUT = 3.3 V RDS(on) Main switch on resistance VOUT = 3.3 V Line regulation VIN < VOUT, PS = High 0.1% 0.5% VIN < VOUT, PS = High 0.1% 0.5% VIN IQ Quiescent current VAUX ISD Shutdown current ILKG Input leakage current ( L) VIN V 505 mV 3.27 3.3 3.33 V 4.95 5.0 5.05 V 1650 kHz 1200 1350 1500 180 VEN = 0 V, VIN = 1.2 V, VL = 1.2 V mA mΩ 150 VEN = 0 V, VIN = 1.2 V VAUX V 500 IO = 0 mA, VEN = VIN = 1.2 V, VOUT = 3.3 V, VAUX = 3.3 V PS = Low VOUT V 0.5 5.5 1250 Load regulation 5.5 mΩ 1 2 μA 50 70 μA 4 6 μA 0.5 1.5 μA 1 2 μA 0.01 1 μA 5.5 V 0.1 × VIN V CONTROL STAGE VAUX Auxiliary Output Voltage VIL Low level input threshold voltage (EN) VIN < 0.8 V VIH High level input threshold voltage (EN) VIN < 0.8 V VIL Low level input threshold voltage (EN) 0.8 V ≤ VIN ≤ 1.5 V VIH High level input threshold voltage (EN) 0.8 V ≤ VIN ≤ 1.5 V VIL Low level input threshold voltage (EN) VIN > 1.5 V VIH High level input threshold voltage (EN) VIN > 1.5 V VIL Low level input threshold voltage (PS) VIH High level input threshold voltage (PS) ILKG Input leakage current (EN, PS) EN, PS = GND or VIN VUVLO Undervoltage lockout threshold Falling UVLO voltage VUVLO Undervoltage lockout threshold Rising UVLO voltage ILKG Input leakage current (UVLO) VUVLO = 0.5 V VOVP Overvoltage protection threshold Thermal shutdown temperature 2.4 0.9 × VIN 0.8 × VIN 1.2 Submit Documentation Feedback V V 0.4 V 0.01 0.1 μA 235 250 265 mV 330 350 370 mV 0.3 μA 1.2 V 5.5 Rising temperature V V 0.4 Thermal shutdown temperature hysteresis 6 V 0.2 × VIN 7 V 140 °C 20 °C Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 8.6 Typical Characteristics Table 1. Table of Graphs FIGURE Maximum output current Efficiency Output voltage vs Input voltage Figure 1 vs Output current (TPS61200), Power Save Enabled Figure 2 vs Output current (TPS61200), Power Save Disabled Figure 3 vs Output current (TPS61201), Power Save Enabled Figure 4 vs Output current (TPS61201), Power Save Disabled Figure 5 vs Output current (TPS61202), Power Save Enabled Figure 6 vs Output current (TPS61202), Power Save Disabled Figure 7 vs Input voltage (TPS61201), Power Save Enabled Figure 8 vs Input voltage (TPS61201), Power Save Disabled Figure 9 vs Input voltage (TPS61202), Power Save Enabled Figure 10 vs Input voltage (TPS61202), Power Save Disabled Figure 11 vs Output current (TPS61201) Figure 12 vs Output current (TPS61202) Figure 13 100 1600 TPS61201 VO = 3.3 V TPS61200 VO = 1.8 V, Power Save Enabled 90 80 1200 TPS61200 VO = 1.8 V 1000 800 TPS61202 VO = 5 V 600 VI = 1.8 V 70 Efficiency - % Maximum Output Current - mA 1400 60 50 40 VI = 0.9 V 30 400 20 200 10 0 0.10 0 0.2 0.6 1 1.4 1.8 2.2 2.6 3 3.4 3.8 4.2 4.6 5 5.4 VI - Input Voltage - V 100 100 VI = 1.8 V 90 80 80 70 70 Efficiency - % Efficiency - % TPS61200 VO = 1.8 V, Power Save Disabled 60 50 40 VI = 0.9 V 20 10 10 Figure 3. Efficiency vs Output Current VI = 1.8 V VI = 0.9 V 40 20 1000 VI = 2.4 V 50 30 1 10 100 IO - Output Current - mA TPS61201 VO = 3.3 V, Power Save Enabled 60 30 0 0.10 1000 Figure 2. Efficiency vs Output Current Figure 1. Maximum Output Current vs Input Voltage 90 1 10 100 IO - Output Current - mA 0 0.10 1 10 100 IO - Output Current - mA 1000 Figure 4. Efficiency vs Output Current Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 7 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 100 100 TPS61201 VO = 3.3 V, Power Save Disabled 90 90 80 80 VI = 2.4 V 70 Efficiency - % 70 Efficiency - % VI = 3.6 V VI = 2.4 V VI = 1.8 V 60 50 VI = 0.9 V 40 50 30 20 20 10 10 1 10 100 IO - Output Current - mA VI = 0.9 V 40 30 0 0.10 VI = 1.8 V 60 TPS61202 VO = 5 V, Power Save Enabled 0 0.10 1000 100 100 VI = 3.6 V TPS61202 VO = 5 V, Power Save Disabled IO = 100 mA 80 VI = 2.4 V 70 VI = 1.8 V 60 Efficiency - % Efficiency - % 70 VI = 0.9 V 50 40 60 50 30 20 20 10 10 1 1k 10 100 IO - Output Current - mA 0 10k IO = 10 mA 40 30 0 0.10 TPS61201 VO = 3.3 V, Power Save Enabled 0 Figure 7. Efficiency vs Output Current 1 1.5 2 2.5 3 3.5 4 VI - Input Voltage - V 4.5 5 5.5 Figure 8. Efficiency vs Input Voltage IO = 500 mA IO = 1000 mA IO = 500 mA 90 90 80 80 70 70 Efficiency - % Efficiency - % 0.5 100 100 60 50 IO = 10 mA IO = 100 mA 40 IO = 100 mA IO = 1000 mA 60 50 IO = 10 mA 40 30 30 TPS61201 VO = 3.3 V, Power Save Disabled 20 10 0 0.5 1 1.5 2 2.5 3 3.5 4 VI - Input Voltage - V 4.5 5 5.5 Figure 9. Efficiency vs Input Voltage 8 IO = 1000 mA IO = 500 mA 90 80 0 1000 Figure 6. Efficiency vs Output Current Figure 5. Efficiency vs Output Current 90 1 10 100 IO - Output Current - mA Submit Documentation Feedback 20 TPS61202 VO = 5 V, Power Save Enabled 10 0 0 0.5 1 1.5 2 2.5 3 3.5 4 VI - Input Voltage - V 4.5 5 5.5 Figure 10. Efficiency vs Input Voltage Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 100 3.33 VI = 2.4 V 90 80 IO = 500 mA Efficiency - % IO = 1000 mA VO - Output Voltage - V IO = 100 mA 70 60 50 IO = 10 mA 40 30 TPS61202 VO = 5 V, Power Save Disabled 20 10 0 0 0.5 1 1.5 2 2.5 3 3.5 4 VI - Input Voltage - V 4.5 TPS61201 VO = 3.3 V, Power Save Disabled 3.27 1 5 5.5 10 100 IO - Output Current - mA 1000 Figure 12. Output Voltage vs Output Current Figure 11. Efficiency vs Input Voltage 5.05 3.30 TPS61202 VO = 5 V, Power Save Disabled VO - Output Voltage - V VI = 2.4 V 5 4.95 1 10 100 IO - Output Current - mA 1000 Figure 13. Output Voltage vs Output Current Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 9 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 9 Parameter Measurement Information L1 VIN VIN C1 L VOUT VOUT EN VAUX PS R1 C2 C3 UVLO FB GND PGND R2 TPS61200 Figure 14. Parameter Measurement Schematic 10 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 10 Detailed Description 10.1 Overview The TPS6120x is a low input voltage synchronous boost converter family. The devices support 0.3-V to 5.5-V input voltage range, so can provide power supply solutions for products powered by either a single-cell, two-cell, or three-cell alkaline, NiCd or NiMH, or one-cell Li-Ion or Li-polymer battery. It is also used in fuel cell or solar cell powered devices where the capability of handling low input voltages is essential. The devices provide output currents of up to 600 mA at a 5-V output, while using a single-cell Li-Ion or Li-Polymer battery and discharges it down to 2.6 V. The boost converter is based on a fixed frequency, pulse-width-modulation (PWM) controller using synchronous rectification to obtain maximum efficiency. At low load currents, the converter enters the Power Save mode to maintain a high efficiency over a wide load current range. The Power Save mode can be disabled, forcing the converter to operate at a fixed switching frequency. The average input current is limited to a maximum value of 1500 mA. The output voltage is programmed by an external resistor divider, or is fixed internally on the chip. The converter can be disabled to minimize battery drain. During shutdown, the load is completely disconnected from the battery. 10.2 Functional Block Diagram L VOUT VAUX VCC Control Current Sensor VOUT PGND VIN VCC Gate Control FB Modulator VFB PS Oscillator EN Device Control UVLO Thermal Shutdown GND PGND PGND Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 11 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 10.3 Feature Description 10.3.1 Controller Circuit The controlling circuit of the device is based on an average current mode topology. The average inductor current is regulated by a fast current regulator loop which is controlled by a voltage control loop. The controller also uses input and output voltage feedforward. Changes of input and output voltage are monitored and immediately change the duty cycle in the modulator to achieve a fast response to those errors. The voltage error amplifier gets its feedback input from the FB pin. For adjustable output voltage devices, a resistive voltage divider must be connected to that pin. For fixed output voltage devices, FB must be connected to the output voltage to directly sense the voltage. Fixed output voltage versions use a trimmed internal resistive divider. The feedback voltage is compared with the internal reference voltage to generate a stable and accurate output voltage. The controller circuit also senses the average input current as well as the peak input current. Thus, the maximum input power is controlled as well as the maximum peak current, to achieve a safe and stable operation under all possible conditions. To protect the device from overheating, an internal temperature sensor is implemented. 10.3.1.1 Synchronous Operation The device uses three internal N-channel MOSFETs to maintain synchronous power conversion at all possible operating conditions. This enables the device to keep high efficiency over a wide input voltage and output power range. To avoid ground shift problems due to the high currents in the switches, two separate ground pins, GND and PGND, are used. The reference for all control functions is the GND pin. The power switches are connected to PGND. Both grounds must be connected on the PCB at only one point, ideally close to the GND pin. Due to the 3-switch topology, the load is always disconnected from the input during shutdown of the converter. 10.3.1.2 Down Regulation A boost converter only regulates output voltages which are higher than the input voltage. This device operates differently. For example, it is able to regulate 3 V at the output with two fresh alkaline cells at the input having a total cell voltage of 3.2 V. Another example is powering white LEDs with a forward voltage of 3.6 V from a fully charged Li-Ion cell with an output voltage of 4.2 V. To control these applications properly, a Down Conversion mode is implemented. If the input voltage reaches or exceeds the output voltage, the converter automatically changes to a Down Conversion mode. In this mode, the control circuit changes the behavior of the two rectifying switches. While continuing switching, it sets the voltage drop across the rectifying switches as high as needed to regulate the output voltage. This means the power losses in the converter increase. This must be taken into account for thermal consideration. 10.3.1.3 Device Enable The device is put into operation when EN is set high. It is put into Shutdown mode when EN is set to low. In Shutdown mode, the regulator stops switching, all internal control circuitry including the UVLO comparator is switched off, and the load is disconnected from the input. Current does not flow from input to output or from output to input. This also means that the output voltage can drop below the input voltage during shutdown. 10.3.1.4 Softstart and Short-Circuit Protection During start-up of the converter, the duty cycle and the peak current are limited in order to avoid high peak currents drawn from the battery. After being enabled, the device starts operating. At first, it keeps the main output VOUT disconnected, and charges the capacitor at VAUX. Once the capacitor at VAUX is charged to about 2.5 V, the device switches to normal operation. This means VOUT is turned on and the capacitor at VOUT is charged, while the load connected to the device is supplied. To ramp up the output voltage in a controlled way, the average current limit is set to 400 mA and rises proportional to the increase of the output voltage. At an output voltage of about 1.2 V the current limit is at its nominal value. If the output voltage does not increase, the current limit does not increase. There is no timer implemented. Thus the output voltage overshoot at startup, as well as the inrush current, is kept at a minimum. The device ramps up the output voltage in a controlled manner even if a large capacitor is connected at the output. When the output voltage does not increase above 1.2 V, the device assumes a short-circuit at the output, and keeps the current limit low to protect itself and the application. When there is a short at the output during operation, the current limit is decreased accordingly. 12 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 Feature Description (continued) The device can also start into a Prebias on the outputs. 10.3.1.5 Current Limit The device current limit limits the average current in the inductor. In a boost connector, this is the input current. If an excessive load requires an input current greater than the average current limit, the device limits the input current by reducing the output power delivered. In this case, the output voltage decreases. 10.3.1.6 Undervoltage Lockout An undervoltage lockout function prevents the main output at VOUT from being supplied if the voltage at the UVLO pin drops below 0.25 V. When using a resistive divider at the voltage to be monitored, for example the supply voltage, any threshold for the monitored voltage can be programmed. If in undervoltage lockout mode, the device still maintains its supply voltage at VAUX, and it is not turned off until EN is programmed low. This undervoltage lockout function is implemented in order to prevent the malfunctioning of the converter. 10.3.1.7 Thermal Shutdown The device has a built-in temperature sensor which monitors the internal IC temperature. If the temperature exceeds the programmed threshold (see electrical characteristics table), the device stops operating. As soon as the IC temperature has decreased below the programmed threshold, it starts operating again. There is a built-in hysteresis to avoid unstable operation at IC temperatures at the thermal shutdown threshold. 10.4 Device Functional Modes 10.4.1 Power Save Mode The Power Save (PS) pin can be used to select different operation modes. To enable Power Save mode the PS pin must be set low. Power Save mode is used to improve efficiency at light load. If Power Save mode is enabled, the converter stops operating if the average inductor current decreases below about 300 mA and the output voltage is at or above its nominal value. If the output voltage decreases below its nominal value, the device ramps up the output voltage again by starting operation using a programmed average inductor current higher than required by the current load condition. Operation can last for one or several pulses. The converter stops operating once the conditions for stopping operation are met again. The Power Save mode can be disabled by programming a high at the PS pin. In Down Conversion mode, Power Save mode is always enabled and the device cannot be forced into fixed frequency operation at light loads. The PS input supports standard logic thresholds. 10.4.2 Down Conversion Mode If the input voltage reaches or exceeds the output voltage, the converter automatically changes to a Down Conversion mode. In this mode, the control circuit changes the behavior of the two rectifying switches. While continuing switching, it sets the voltage drop across the rectifying switches as high as needed to regulate the output voltage. This means the power losses in the converter increase. This must be taken into account for thermal consideration. Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 13 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 11 Application and Implementation NOTE Information in the following applications sections is not part of the TI component specification, and TI does not warrant its accuracy or completeness. TI’s customers are responsible for determining suitability of components for their purposes. Customers should validate and test their design implementation to confirm system functionality. 11.1 Application Information The TPS6120x DC-DC converters are intended for systems powered by a single up to triple cell Alkaline, NiCd, NiMH battery with a typical terminal voltage between 0.7 V and 5.5 V. They can also be used in systems powered by one-cell Li-Ion or Li-Polymer with a typical voltage between 2.5 V and 4.2 V. Additionally, any other voltage source like solar cells or fuel cells with a typical output voltage between 0.3 V and 5.5 V can power systems where the TPS6120x is used. 11.2 Typical Application L1 VIN VIN C1 L VOUT VOUT EN R3 VAUX PS R1 C2 C3 UVLO FB R4 GND PGND R2 TPS61200 Figure 15. Typical Application Circuit for Adjustable Output Voltage Option 11.2.1 Design Requirements In this example, TPS61200 is used to design a 3.3-V power supply with 100-mA output current capability. The TPS61200 can be powered by either a single-cell, two-cell, or three-cell alkaline, NiCd or NiMH, or one-cell Li-Ion or Li-Polymer battery. In this example, the input voltage range is from 0.8 V to 1.65 V for single-cell alkaline input. 11.2.2 Detailed Design Procedure Table 2. List of Components COMPONENT REFERENCE MANUFACTURER VALUE C1 any 10 μF, X7R Ceramic C2 any 2 x 10 μF, X7R Ceramic C3 any 1 µF, X7R, Ceramic Coilcraft 2.2 μH L1 PART NUMBER LPS3015-222ML 11.2.2.1 Programming the Output Voltage Within the TPS6120X family, there are fixed and adjustable output voltage versions available. To properly configure the fixed output voltage devices, the FB pin is used to sense the output voltage. This means that it must be connected directly to VOUT. For the adjustable output voltage version, an external resistor divider is used to adjust the output voltage. The resistor divider must be connected between VOUT, FB and GND. When the output voltage is regulated properly, the typical value of the voltage at the FB pin is 500 mV. The maximum recommended value for the output voltage is 5.5 V. The current through the resistive divider should be about 100 times greater than the current into the FB pin. The typical current into the FB pin is 0.01 μA, and the voltage 14 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 across the resistor between FB and GND, R2, is typically 500 mV. Based on those two values, the recommended value for R2 should be lower than 500 kΩ, in order to set the divider current at 1 μA or higher. It is recommended to keep the value for this resistor in the range of 200 kΩ. The value of the resistor connected between VOUT and FB, R1, depending on the needed output voltage (VOUT), can be calculated using Equation 1: æV ö R1 = R2 x ç OUT - 1÷ è VFB ø (1) As an example, for an output voltage of 3.3 V, a 1-MΩ resistor should be chosen for R1 when a 180-kΩ is selected for R2. 11.2.2.2 Programming the UVLO Threshold Voltage The UVLO input can be used to shut down the main output if the supply voltage is getting too low. The internal reference threshold is typically 250 mV. If the supply voltage should cause the shutdown when it is dropping below 250 mV, VIN can be connected directly to the UVLO pin. If the shutdown should happen at higher voltages, a resistor divider can be used. R3 and R4 in Figure 15 show an example of how to monitor the input voltage of the circuit. The current through the resistive divider should be about 100 times greater than the current into the UVLO pin. The typical current into the UVLO pin is 0.01 μA, and the voltage across R4 is equal to the UVLO voltage threshold that is generated on-chip, which has a value of 250 mV. Therefore, the recommended value for R4 is in the range of 250 kΩ. From this, the value of resistor R3, depending on the desired shutdown voltage VINMIN, can be calculated using Equation 2. æV ö R3 = R4 x çç INMIN - 1÷÷ è VUVLO ø (2) 11.2.2.3 Inductor Selection To make sure that the TPS6120X devices can operate, an inductor must be connected between the VIN and L pins. To estimate the minimum inductance value, Equation 3 can be used. ms LMIN = VIN x 0.5 A (3) In Equation 3, the minimum inductance, LMIN , for boost mode operation is calculated. VIN is the maximum input voltage. The recommended inductor value range is between 1.5 μH and 4.7 μH. The minimum inductor value should not be below 1.5 μH, even if Equation 3 yields something lower. Using 2.2 μH is recommended anyway for getting best performance over the whole input and output voltage range. With the chosen inductance value, the peak current for the inductor in steady state operation can be calculated using Equation 4. ILMAX = VIN x (VOUT - VIN ) VOUT x IOUT + 0.8 x VIN 2 x VOUT x f x L (4) This would be the critical value for the current rating for selecting the inductor. It also needs to be taken into account that load transients and error conditions may cause higher inductor currents. The following inductor series from different suppliers have been used with TPS6120x converters: Table 3. List of Inductors VENDOR Coilcraft INDUCTOR SERIES LPS3015 LPS4012 Murata LQH3NP Tajo Yuden NR3015 Wurth Elektronik WE-TPC Typ S Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 15 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 11.2.2.4 Capacitor Selection 11.2.2.4.1 Input Capacitor At least a 4.7-μF input capacitor is recommended to improve transient behavior of the regulator and EMI behavior of the total power supply circuit. An X5R or X7R ceramic capacitor placed as close as possible to the VIN and PGND pins of the IC is recommended. An R-C filter may be placed on the VIN pin to improve performance in applications with a noisy input source. A 100-Ω resistor and 0.1-µF capacitor are recommended in this case. This filter is not required operation. 11.2.2.4.2 Output Capacitor For the output capacitor, it is recommended to use small X5R or X7R ceramic capacitors placed as close as possible to the VOUT and PGND pins of the IC. If, for any reason, the application requires the use of large capacitors which can not be placed close to the IC, using a smaller ceramic capacitor in parallel to the large one is required. This small capacitor should be placed as close as possible to the VOUT and PGND pins of the IC. To get an estimate of the recommended minimum output capacitance, Equation 5 can be used. mF COUT = 5 x L x mH (5) A capacitor with a value in the range of the calculated minimum should be used. This is required to maintain control loop stability. There are no additional requirements regarding minimum ESR. There is also no upper limit for the output capacitance value. Larger capacitors cause lower output voltage ripple as well as lower output voltage drops during load transients. 11.2.2.4.3 Capacitor at VAUX Between the VAUX pin and GND pin, a capacitor must be connected. This capacitor is used to maintain and filter the control supply voltage, which is chosen from the highest of VIN, VOUT, and L. It is charged during startup and before the main output VOUT is turned on. To ensure stable operation, using at least 0.1μF is recommended. At output voltages below 2.5 V, the capacitance should be in the range of 1 μF. Since this capacitor is also used as a snubber capacitor for the main switch, using a X5R or X7R ceramic capacitor with low ESR is important. 11.2.3 Application Curves FIGURE Output Voltage TPS61201, Power Save Mode Disabled Figure 16 Output Voltage TPS61202, Power Save Mode Disabled Figure 17 Output Voltage TPS61201, Power Save Mode Enabled Figure 18 Output Voltage TPS61202, Power Save Mode Enabled Figure 19 TPS61201 Load Transient Response Figure 20 TPS61202 Load Transient Response Figure 21 TPS61201 Line Transient Response Figure 22 TPS61202 Line Transient Response Figure 23 TPS61201 Startup after Enable Figure 24 TPS61202 Startup after Enable Figure 25 16 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 Output Voltage 50 mV/div, AC VI = 1.8 V, RL = 11W TPS61202 VO = 5 V, Power Save Disabled VI = 1.8 V, RL = 17W Inductor Current 200 mA/div, AC TPS61201 VO = 3.3 V, Power Save Disabled Inductor Current 100 mA/div, AC Output Voltage 20 mV/div, AC www.ti.com t - Time - 0.5 ms/div t - Time - 1 ms/div Figure 16. Output Voltage, Power Save Mode Disabled Figure 17. Output Voltage, Power Save Mode Disabled TPS61202 VO = 5 V, Power Save Enabled VI = 1.8 V, RL = 55 kW Inductor Current 200 mA/div Inductor Current 100 mA/div Output Voltage 20 mV/div, AC Output Voltage 20 mV/div, AC VI = 1.8 V, RL = 33 kW TPS61201 VO = 3.3 V, Power Save Enabled t - Time - 100 ms/div Figure 18. Output Voltage in Power Save Mode Figure 19. Output Voltage in Power Save Mode Output Voltage 100 mV/div, AC VI = 1.8 V, IL = 300 mA to 400 mA TPS61202 VO = 5 V VI = 1.8 V, IL = 150 mA to 250 mA Output Current 100 mA/div, AC TPS61201 VO = 3.3 V Output Current 50 mA/div, AC Output Voltage 50 mV/div, AC t - Time - 2 ms/div t - Time - 1 ms/div t - Time - 1 ms/div Figure 20. Load Transient Response Figure 21. Load Transient Response Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 17 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com VI = 1.8 V to 2.4 V, RL = 11W Output Voltage 50 mV/div, AC Output Voltage 20 mV/div, AC Input Voltage 500 mV/div, AC Input Voltage 500 mV/div, AC VI = 3 V to 3.6 V, RL = 17W TPS61202 VO = 5 V TPS61201 VO = 3.3 V t - Time - 2 ms/div t - Time - 2 ms/div Figure 22. Line Transient Response Figure 23. Line Transient Response Enable 5 V/div, DC Enable 5 V/div, DC Voltage at VAUX 2 V/div, DC Voltage at VAUX 2 V/div, DC Output Voltage 2 V/div, DC Output Voltage 2 V/div, DC Voltage at L 2 V/div, DC Voltage at L 2 V/div, DC Inductor Current 500 mA/div, DC TPS61201 VO = 3.3 V VI = 1.8 V, RL = 11W t - Time - 100 ms/div Figure 24. Start-Up After Enable 18 Submit Documentation Feedback Inductor Current 500 mA/div, DC TPS61201 VO = 3.3 V VI = 1.8 V, RL = 17W t - Time - 100 ms/div Figure 25. Start-Up After Enable Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 11.3 System Examples Figure 26. WLED Driver Circuit (See SLVA364) L1 4.7µH Vcell = 0.3 - 0.5V RefDes C1 C2 C3 C4 C5 CFF VCELL EN C1 UVLO VAUX PS L TPS61200 Solar Cell VIN GND Value >10 mF >20 mF 1 mF 1 mF 10 nF 33 pF VOUT VOUT R1 CFF FB VAUX PGND C2 R2 VAUX Charge storage device C3 R5 VAUX C4 R3 R8 L1 RefDes R1 R2 R3 R4 R5 R6 R7 R8 4.7 mH Value 750 kW 200 kW 1 kW 1 MW 100 W 1 MW 100 kW 200 kW R6 R4 VCELL OPA379 TLV431 R7 MPP circuit Power ground C5 Reference ground Figure 27. Solar Cell Circuit (See SLVA345) Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 19 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com System Examples (continued) L1 Inductor 2.2uH 3.3V Vout 0.9V to 1.5V R1 Vin 100 Battery C1 10uF TPS61200 Vaux Vout L PGND VIN R2 0 C2 100nF 1 2 3 4 5 FB 10 GND 9 PS 8 UVLO 7 EN 6 C3 47uF C4 10uF R4 1K TPS61200 R5 1K R3 1K Q1 MOSFET-N GND Figure 28. Reverse Battery Protection Circuit (See SLVA315) 12 Power Supply Recommendations The power supply of TPS6120x DC-DC converters can be a single up to triple cell Alkaline, NiCd, NiMH battery with a typical terminal voltage between 0.7 V and 5.5 V. The TPS6120x can also be powered by one-cell Li-Ion or Li-Polymer with a typical voltage between 2.5 V and 4.2 V. Additionally, any other voltage source like solar cells or fuel cells with a typical output voltage between 0.3 V and 5.5 V can also be the power supply. The input supply should be well regulated with the rating of TPS6120x. If the input supply is located more than a few inches from the device, additional bulk capacitance may be required in addition to the ceramic bypass capacitors. An electrolytic or tantalum capacitor with a value of 47 µF is a typical choice. 20 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 TPS61200, TPS61201, TPS61202 www.ti.com SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 13 Layout 13.1 Layout Guidelines As for all switching power supplies, the layout is an important step in the design, especially at high peak currents and high switching frequencies. If the layout is not carefully done, the regulator could show stability problems as well as EMI problems. Therefore, use wide and short traces for the main current path and for the power ground tracks. The input and output capacitor, as well as the inductor should be placed as close as possible to the IC. Use a common ground node for power ground and a different one for control ground to minimize the effects of ground noise. Connect these ground nodes at any place close to one of the ground pins of the IC. The feedback divider should be placed as close as possible to the control ground pin of the IC. To lay out the control ground, it is recommended to use short traces as well, separated from the power ground traces. This avoids ground shift problems, which can occur due to superimposition of power ground current and control ground current. See Figure 29 for the recommended layout. 13.2 Layout Example Figure 29. EVM Layout 13.3 Thermal Considerations Implementation of integrated circuits in low-profile and fine-pitch surface-mount packages typically requires special attention to power dissipation. Many system-dependent issues such as thermal coupling, airflow, added heat sinks and convection surfaces, and the presence of other heat-generating components affect the powerdissipation limits of a given component. Three basic approaches for enhancing thermal performance are listed below. • Improving the power dissipation capability of the PCB design • Improving the thermal coupling of the component to the PCB • Introducing airflow in the system The maximum recommended junction temperature (TJ) of the TPS6120x devices is 125°C. The thermal resistance of the 10-pin SON 3 × 3 package (DRC) is RθJA = 41.2 °C/W, when the exposed thermal pad is soldered. Specified regulator operation is assured to a maximum ambient temperature, TA, of 85°C. Therefore, the maximum power dissipation is about 971 mW. More power can be dissipated if the maximum ambient temperature of the application is lower. TJ(MAX) - TA 125°C - 85°C = = 971mW PD(MAX) = RqJA 41.2°C / W (6) Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 Submit Documentation Feedback 21 TPS61200, TPS61201, TPS61202 SLVS577E – MARCH 2007 – REVISED DECEMBER 2014 www.ti.com 14 Device and Documentation Support 14.1 Related Links The table below lists quick access links. Categories include technical documents, support and community resources, tools and software, and quick access to sample or buy. Table 4. Related Links PARTS PRODUCT FOLDER SAMPLE & BUY TECHNICAL DOCUMENTS TOOLS & SOFTWARE SUPPORT & COMMUNITY TPS61200 Click here Click here Click here Click here Click here TPS61201 Click here Click here Click here Click here Click here TPS61202 Click here Click here Click here Click here Click here 14.2 Trademarks All trademarks are the property of their respective owners. 14.3 Electrostatic Discharge Caution These devices have limited built-in ESD protection. The leads should be shorted together or the device placed in conductive foam during storage or handling to prevent electrostatic damage to the MOS gates. 14.4 Glossary SLYZ022 — TI Glossary. This glossary lists and explains terms, acronyms, and definitions. 15 Mechanical, Packaging, and Orderable Information The following pages include mechanical, packaging, and orderable information. This information is the most current data available for the designated devices. This data is subject to change without notice and revision of this document. For browser-based versions of this data sheet, refer to the left-hand navigation. 22 Submit Documentation Feedback Copyright © 2007–2014, Texas Instruments Incorporated Product Folder Links: TPS61200 TPS61201 TPS61202 PACKAGE OPTION ADDENDUM www.ti.com 14-Oct-2022 PACKAGING INFORMATION Orderable Device Status (1) Package Type Package Pins Package Drawing Qty Eco Plan (2) Lead finish/ Ball material MSL Peak Temp Op Temp (°C) Device Marking (3) Samples (4/5) (6) TPS61200DRCR ACTIVE VSON DRC 10 3000 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRR Samples TPS61200DRCRG4 ACTIVE VSON DRC 10 3000 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRR Samples TPS61200DRCT ACTIVE VSON DRC 10 250 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRR Samples TPS61201DRCR ACTIVE VSON DRC 10 3000 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRS Samples TPS61201DRCT ACTIVE VSON DRC 10 250 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRS Samples TPS61202DRCR ACTIVE VSON DRC 10 3000 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRT Samples TPS61202DRCT ACTIVE VSON DRC 10 250 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 BRT Samples TPS61202DSCR ACTIVE WSON DSC 10 3000 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 CER Samples TPS61202DSCT ACTIVE WSON DSC 10 250 RoHS & Green NIPDAU Level-2-260C-1 YEAR -40 to 85 CER Samples (1) The marketing status values are defined as follows: ACTIVE: Product device recommended for new designs. LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect. NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in a new design. PREVIEW: Device has been announced but is not in production. Samples may or may not be available. OBSOLETE: TI has discontinued the production of the device. (2) RoHS: TI defines "RoHS" to mean semiconductor products that are compliant with the current EU RoHS requirements for all 10 RoHS substances, including the requirement that RoHS substance do not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered at high temperatures, "RoHS" products are suitable for use in specified lead-free processes. TI may reference these types of products as "Pb-Free". RoHS Exempt: TI defines "RoHS Exempt" to mean products that contain lead but are compliant with EU RoHS pursuant to a specific EU RoHS exemption. Green: TI defines "Green" to mean the content of Chlorine (Cl) and Bromine (Br) based flame retardants meet JS709B low halogen requirements of
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