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LED Fundamentals

Driving LEDs –
Resistors and Linear
Drivers
08-19-2011
Introduction
                                                                                          Normalized Spectrum Behavior at 24, 35, 50, 70 Degree Celsius
                                                               1,00




                                                                               TY
                                                                        INTENSIT
 Proper driving of LEDs is required to                        0,80




  address some of the fundamental                              0,60




  variations that all LEDs may have due
                                                                                                                                                                                               Spectrum Behavior at 24, 35, 50, 70 Degree Celsius
                                                                                                                                                                      6,00E-05




                                                                                                                                                          INTENSITY
                                                               0,40




  to manufacturing tolerances.                                 0,20


                                                                                                                                                              4,00E-05
                                                                                                                                                                      5,00E-05


                                                                                                                                                             WAVELENGTH [nm]
                                                               0,00
                                                                      580           590     600      610       620      630      640       650      660                  670           680

                                                                                                                                                                      3,00E-05




 There are different methods used to
                                                                                                                                                                      2,00E-05




  drive LEDs. These methods can be
                                                                                                                                                                      1,00E-05


                                                                                                                                                                                                                                               WAVELENGTH [nm]
                                                                                                                                                                      0,00E+00
                                                                                                                                                                       ,


  very simple or complicated, depending
                                                                                                                                                                                 380         430     480      530      580      630      680        730      780




  on the application.

 S
  Some of the key parameters needed
          f th k           t       d d
  to choose proper driving method
  include expected Tj (Junction
  Temperature), expected Vf mismatch
  between LEDs, color accuracy
  b t       LED      l
  required at the system level, and if
  dimming of the LEDs is required for
  the application.

LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 2
Need for Current Regulation in LED Systems


 The I-V characteristics of an LED plays a
  key role in deciding what type of regulation
  is best suited for driving LEDs.

 Due to the fact that a small increase in
  voltage, once th threshold is reached, will
     lt           the th h ld i       h d ill
  significantly increase current through an
  LED, regulating current is more
  appropriate for driving LEDs.

 Also, current regulation is required in LED
  systems to control and maintain:
     » C l shift vs LED current
       Color hift                 t
     » Flux or light output vs LED current



LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 3
Driving Methods




              Resistor drive




Switching regulator
drive is not included
in this presentation
        p




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 4
Resistor Drive – Very Inefficient
                                                               If LED current of 350mA is required:


                                                               Using the Vf VS If Graph, the Vf of the LED at 350mA
                                                               would be 3.2V


                                                               Using Ohms Law we calculate the value of the
                                  If                           resistor:                    If
                                                                (12V – 3.2V) / .350A = 25.1 Ohms


                                                               The power dissipation of the resistor would be
                            Ohms Law                           (.350A*.350A)*25.1 Ohms = 3.08 Watts
Very simple
                             (Vbatt  V f )
solution             If                                                                              Very inefficient
                                       R                   This is just an example. Power wasted on

                 Where If is LED current,                  the resistor is a function of source voltage. The
                                                           smaller the difference between voltage source and
            Vf is LED’s forward voltage
                                                           Vf of the LED, the less power wasted on the
      and Vbatt is the supply voltage
                                                           resistor.

  LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 5
Resistor Drive - Change in Vf of LEDs
 Vf difference can come from two sources:
        » Vf difference comes from process variation
          during manufacturing.
          (typically in the range of ~250mV)
                                      250mV)
        » Change in Vf due to junction temperature (Tj)
          of the LED.


 Graph on the right shows change in Vf due to Tj.


 F the same circuit on th previous slide, with a
  For th            i it   the     i   lid   ith
  supply voltage of 5V, a change in Vf of 250mV will
  result in the following LED current:
              Resistor = (5V 3 2V)/350mA = 5 2 ohms
                         (5V-3.2V)/350mA 5.2
              (5-3.45)/5.2 = 304mA OR
              (5-2.95)/5.2 = 394.2mA


LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 6
Resistor Drive - Source Voltage Tolerances

  The tolerances on a voltage source will
   impact LED current in resistor based current
   regulation.


  Assuming a +/-10% tolerance, which is very
   reasonable,
   reasonable on the voltage source for the
   same circuit, the LED current can vary
   between 302.8mA and 398.4mA.
                                                                         If the voltage source had a tolerance of +/- 10%:
                                                                                                                  +/
  The change in LED current will impact the                             10% of 12V is 1.2V
   following:
                                                                         With tolerance of +10%, LED current would be
         » Flux or light output
                     g      p
                                                                         (13.2V – 3.2V) / 25.1 Ohms = 398.4mA
         » Color shift due to LED current
         » Efficacy of the LED/ circuit/ system                          With tolerance of -10%, LED current would be
                                                                         (
                                                                         (10.8V – 3.2V) / 25.1 Ohms = 302.8mA
                                                                                      )


LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 7
Resistor Drive - Flux Varies with LED Current


 Flux at 302mA is ~90% of flux at 350mA


 Flux at 398mA is ~115% of flux at 350mA


 For calculation purposes, if flux at 350mA is
  assumed to be 100lm:
        » Flux at 302mA is ~90lm
        » Flux at 398mA is ~115lm
                            115lm


 If resistor based regulation is used in a system
  where the source voltage has a tolerance of +/-
  10%, the light output can vary.




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 8
Resistor Drive
           Drive-
  Color Point Can Vary with LED Current


  Consider the same circuit analysis on the previous
   slide, in which the LED current can be either 302mA
   or 398mA.

  Based on the graph on the right, the Cx, Cy shift at
   an LED current of 302mA can be ~0.00125 and
   ~0.00250, respectively.

  At an LED current of 398mA, the Cx, Cy shift can b
                    t f 398 A th C C hift           be
   -0.00125 and -0.00250, respectively.

  The color shift due to varying LED current cannot be
   addressed in a resistor drive.




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 9
A Slightly Different Approach to Resistor Drive

                                Fixed Voltage Source
                                                            How does the circuit work?
                                                            1.   The op-amp automatically adjusts its output
                                                                 (NPN's base d i ) t b i it negative input
                                                                 (NPN' b       drive) to bring its    ti i    t
                                                      LED        equal to the positive input. This means that Vref
                                                                 = VR (voltage across resistor “R”).
                              Iled = Vref / R
                               OP-AMPA
Vref        5

            4
                          2
                                                NPN         2.   A simple application of Ohms law would make
                                                                 current through R and the LED = Vref / R.


                                                R           3.   NPN delivers the current, and because the
                                                                 NPN's currents are related by Ic ≈ Ie, the same
                                                                                              y       ,
                                                                 current that is developed through R must also
                                                                 flow through the LED.
                                         GND




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 10
Advantage and Disadvantages of Resistor Drive
The advantages of resistor based regulation includes:
         • Cost effective solution
         • Very simple and ideal for space constrained applications
         •P
          Possible solution f applications th t have a l t of variables and i
               ibl     l ti for     li ti    that h     lot f     i bl     d issues such as fl
                                                                                          h flux
         and Vf variations that don’t need to be addressed, eg. flashlights/ torch lights


However,
However there may be issues with this type of driving method:
         • Very inefficient
         • Vf mismatch or variation due to Tj cannot be addressed with this method
         •S
          Supply voltage variation i not addressed
              l    lt       i ti is t dd         d
         • Flux variation cannot be addressed


The OP-AMP + Transistor method:
         • Source/ supply voltage variation issue addressed
         • Vf mismatch or variation due to Tj will be addressed
         • More stable LED current due to corrections related to the previous two issues
LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 11
Linear Regulators

 Linear regulators can either be fixed voltage or constant current

                                                                          Use of a resistor to regulate
                                                                          current through the LED is
                                                                          required in fixed voltage
                                                                          regulators


   If is LED current                                              (V out  V f )
                                                     I   f   
                                                                          R
     Fixed voltage regulator compensates for source voltage variations, but does not
      compensate for variations in the LED forward voltage.


     If being used by other circuits in an LED system, can also be used for LED drive.

LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 12
Linear Regulator Based Driving


 Constant current linear regulators are very
  simple to design and are widely used in LED
  systems.

 National Semi, Infineon Technologies, Zetex, and
  TI are some of the suppliers to name a few.
               f th       li   t         f




 Linear regulators:
    • Eliminates changes in source voltages issue.
    • M i t i constant current and brightness in
      Maintains      t t       t d b i ht       i
      LEDs.                                                               minimal passives, a capacitor
    • Compensates for changes in LED forward
                                                                          and a resistor in most cases
      voltage.

LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 13
Linear Regulator Based Driving




                                                       optional
TLE 4309G


 Adjustable Output
  Current up to 500 mA                       Features
 Low dropout voltage
 PWM Input (dimming)
      I   t (di  i )                                               Reverse Polarity Protected
 Over-Temperature Protection                                      Max. Operating Voltage: 24 V
 Short Circuit Protection to GND and Vsupply                      Max. Input Voltage: 45 V
                                                                   Package PG-TO-263-7
                                                                            PG TO 263 7

LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 14
Linear Regulator Based Driving
                                                                                BCR40X


 Total forward voltage must be lower
                     g
  than the supply voltage (more like a
                                                                          • Output current adjustable by
  buck type)
                                                                            external resistor from 10mA to
 Efficiency is not as good as a switching
                                                                            65mA
  regulator.
                                                                          • Suitable for PWM for dimming
 Some of the features of BCR40X are
  listed on the right                                                     • Negative temperature coefficient
 Linear regulators are ideal for low                                       serves as protection for LED’s
                                                                                                     LED s
  current LED applications                                                • Pretested output current
 If higher current is needed, then                                       • Low voltage drop
  external circuitry i required
      t    l i    it is      i d




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 15
Linear Regulator Based Driving

 With an external circuit, the LED current can be made as high as 500mA.




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 16
How Stable is Linear Regulator Based Driving?


 Linear regulators are very stable over a wide range of
  temperatures.


 The temperature characteristics of the BCR4X family
  from Infineon Technologies is shown on the right.


 The reference voltage, which is directly proportional to
  LED current at two different temperatures (20°C and
  100°C),
  100°C) was examined.
                    i d


 The delta between 20°C and 100°C is only about
  1mV, hi h
  1 V which means th t th LED current will b very
                      that the           t ill be
  stable over a wide range of temperature.



 LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 17
How Much Power Wasted in Linear Regulators?




                      Power on TLE4309               ~ (Vin – Vout) * Current (LED current = 350mA)
                                                      ~ (12 – 6.4) * 0.35 (Vf of two LEDs = 6.4V)
                                                      ~ 2W



LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 18
Advantages and Disadvantages of Linear Drive


   Advantages of linear current regulators:
      • Better/more stable regulation compared to resistor regulation
      • Vf mismatch between LEDs addressed
      • Vf change due to temperature is addressed
      • Stable current regulation over a wide temperature range

   Disadvantages of linear current regulators:
       • Not very efficient
                   y
       • Costly compared to resistor drive
       • Can only be used when total Vf of LEDs less than the supply voltage
       • If it is a fixed voltage type linear regulator, use of a resistor is still required
                               g yp             g      ,                              q




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 19
Summary

   In summary, the table below compares resistor drive and linear drive in LED systems/
   circuits.

                                                            Resistor Drive           Linear Regulator


       Vf mismatch between LEDs addressed                           NO                     YES
     Vf change due to temperature addressed                         NO                     YES
         Source voltage variation addressed                         NO                     YES
                Tight current regulation                            NO                     YES
                      Simple solution                              YES                     YES
                      Costly solution                               NO       YES (compared to resistor driver)
                     Efficient solution                             NO                     NO
       Stable over wide-range of temperature                        NO                     YES



LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 20
Disclaimer

 All information contained in this document has been checked with the greatest care.
 OSRAM Opto Semiconductors GmbH can however, not be made liable for any damage
 that occurs in connection with the use of these contents.


 OSRAM Opto Semiconductor GmbH makes no representations and warranties as to a
 possible interference with third parties' intellectual property rights in view of products
 originating f
   i i ti from one of OSRAM Opto Semiconductor GmbH's partners, or in view of
                        f          O t S i         d t G bH'            t        i i      f
 products being a combination of an OSRAM Opto Semiconductor GmbH's product and a
 product of one of OSRAM Opto Semiconductor GmbH's partners. Furthermore, OSRAM
 Opto Semiconductors GmbH cannot be made liable for any damage that occurs in
   p                                                            y       g
 connection with the use of a product of one of OSRAM Opto Semiconductor GmbH's
 partners, or with the use of a combination of an OSRAM Opto Semiconductor GmbH's
 product and a product of one of OSRAM Opto Semiconductor GmbH's partners.




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 21
Thank you for your attention.




LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 22

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Driving LEDs - Resistors and Linear Drivers: LED Fundamentals

  • 1. LED Fundamentals Driving LEDs – Resistors and Linear Drivers 08-19-2011
  • 2. Introduction Normalized Spectrum Behavior at 24, 35, 50, 70 Degree Celsius 1,00 TY INTENSIT  Proper driving of LEDs is required to 0,80 address some of the fundamental 0,60 variations that all LEDs may have due Spectrum Behavior at 24, 35, 50, 70 Degree Celsius 6,00E-05 INTENSITY 0,40 to manufacturing tolerances. 0,20 4,00E-05 5,00E-05 WAVELENGTH [nm] 0,00 580 590 600 610 620 630 640 650 660 670 680 3,00E-05  There are different methods used to 2,00E-05 drive LEDs. These methods can be 1,00E-05 WAVELENGTH [nm] 0,00E+00 , very simple or complicated, depending 380 430 480 530 580 630 680 730 780 on the application.  S Some of the key parameters needed f th k t d d to choose proper driving method include expected Tj (Junction Temperature), expected Vf mismatch between LEDs, color accuracy b t LED l required at the system level, and if dimming of the LEDs is required for the application. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 2
  • 3. Need for Current Regulation in LED Systems  The I-V characteristics of an LED plays a key role in deciding what type of regulation is best suited for driving LEDs.  Due to the fact that a small increase in voltage, once th threshold is reached, will lt the th h ld i h d ill significantly increase current through an LED, regulating current is more appropriate for driving LEDs.  Also, current regulation is required in LED systems to control and maintain: » C l shift vs LED current Color hift t » Flux or light output vs LED current LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 3
  • 4. Driving Methods Resistor drive Switching regulator drive is not included in this presentation p LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 4
  • 5. Resistor Drive – Very Inefficient If LED current of 350mA is required: Using the Vf VS If Graph, the Vf of the LED at 350mA would be 3.2V Using Ohms Law we calculate the value of the If resistor: If (12V – 3.2V) / .350A = 25.1 Ohms The power dissipation of the resistor would be Ohms Law (.350A*.350A)*25.1 Ohms = 3.08 Watts Very simple (Vbatt  V f ) solution If  Very inefficient R This is just an example. Power wasted on Where If is LED current, the resistor is a function of source voltage. The smaller the difference between voltage source and Vf is LED’s forward voltage Vf of the LED, the less power wasted on the and Vbatt is the supply voltage resistor. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 5
  • 6. Resistor Drive - Change in Vf of LEDs  Vf difference can come from two sources: » Vf difference comes from process variation during manufacturing. (typically in the range of ~250mV) 250mV) » Change in Vf due to junction temperature (Tj) of the LED.  Graph on the right shows change in Vf due to Tj.  F the same circuit on th previous slide, with a For th i it the i lid ith supply voltage of 5V, a change in Vf of 250mV will result in the following LED current: Resistor = (5V 3 2V)/350mA = 5 2 ohms (5V-3.2V)/350mA 5.2 (5-3.45)/5.2 = 304mA OR (5-2.95)/5.2 = 394.2mA LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 6
  • 7. Resistor Drive - Source Voltage Tolerances  The tolerances on a voltage source will impact LED current in resistor based current regulation.  Assuming a +/-10% tolerance, which is very reasonable, reasonable on the voltage source for the same circuit, the LED current can vary between 302.8mA and 398.4mA. If the voltage source had a tolerance of +/- 10%: +/  The change in LED current will impact the 10% of 12V is 1.2V following: With tolerance of +10%, LED current would be » Flux or light output g p (13.2V – 3.2V) / 25.1 Ohms = 398.4mA » Color shift due to LED current » Efficacy of the LED/ circuit/ system With tolerance of -10%, LED current would be ( (10.8V – 3.2V) / 25.1 Ohms = 302.8mA ) LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 7
  • 8. Resistor Drive - Flux Varies with LED Current  Flux at 302mA is ~90% of flux at 350mA  Flux at 398mA is ~115% of flux at 350mA  For calculation purposes, if flux at 350mA is assumed to be 100lm: » Flux at 302mA is ~90lm » Flux at 398mA is ~115lm 115lm  If resistor based regulation is used in a system where the source voltage has a tolerance of +/- 10%, the light output can vary. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 8
  • 9. Resistor Drive Drive- Color Point Can Vary with LED Current  Consider the same circuit analysis on the previous slide, in which the LED current can be either 302mA or 398mA.  Based on the graph on the right, the Cx, Cy shift at an LED current of 302mA can be ~0.00125 and ~0.00250, respectively.  At an LED current of 398mA, the Cx, Cy shift can b t f 398 A th C C hift be -0.00125 and -0.00250, respectively.  The color shift due to varying LED current cannot be addressed in a resistor drive. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 9
  • 10. A Slightly Different Approach to Resistor Drive Fixed Voltage Source How does the circuit work? 1. The op-amp automatically adjusts its output (NPN's base d i ) t b i it negative input (NPN' b drive) to bring its ti i t LED equal to the positive input. This means that Vref = VR (voltage across resistor “R”). Iled = Vref / R OP-AMPA Vref 5 4 2 NPN 2. A simple application of Ohms law would make current through R and the LED = Vref / R. R 3. NPN delivers the current, and because the NPN's currents are related by Ic ≈ Ie, the same y , current that is developed through R must also flow through the LED. GND LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 10
  • 11. Advantage and Disadvantages of Resistor Drive The advantages of resistor based regulation includes: • Cost effective solution • Very simple and ideal for space constrained applications •P Possible solution f applications th t have a l t of variables and i ibl l ti for li ti that h lot f i bl d issues such as fl h flux and Vf variations that don’t need to be addressed, eg. flashlights/ torch lights However, However there may be issues with this type of driving method: • Very inefficient • Vf mismatch or variation due to Tj cannot be addressed with this method •S Supply voltage variation i not addressed l lt i ti is t dd d • Flux variation cannot be addressed The OP-AMP + Transistor method: • Source/ supply voltage variation issue addressed • Vf mismatch or variation due to Tj will be addressed • More stable LED current due to corrections related to the previous two issues LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 11
  • 12. Linear Regulators Linear regulators can either be fixed voltage or constant current Use of a resistor to regulate current through the LED is required in fixed voltage regulators If is LED current (V out  V f ) I f  R  Fixed voltage regulator compensates for source voltage variations, but does not compensate for variations in the LED forward voltage.  If being used by other circuits in an LED system, can also be used for LED drive. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 12
  • 13. Linear Regulator Based Driving  Constant current linear regulators are very simple to design and are widely used in LED systems.  National Semi, Infineon Technologies, Zetex, and TI are some of the suppliers to name a few. f th li t f  Linear regulators: • Eliminates changes in source voltages issue. • M i t i constant current and brightness in Maintains t t t d b i ht i LEDs. minimal passives, a capacitor • Compensates for changes in LED forward and a resistor in most cases voltage. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 13
  • 14. Linear Regulator Based Driving optional TLE 4309G  Adjustable Output Current up to 500 mA Features  Low dropout voltage  PWM Input (dimming) I t (di i )  Reverse Polarity Protected  Over-Temperature Protection  Max. Operating Voltage: 24 V  Short Circuit Protection to GND and Vsupply  Max. Input Voltage: 45 V  Package PG-TO-263-7 PG TO 263 7 LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 14
  • 15. Linear Regulator Based Driving BCR40X  Total forward voltage must be lower g than the supply voltage (more like a • Output current adjustable by buck type) external resistor from 10mA to  Efficiency is not as good as a switching 65mA regulator. • Suitable for PWM for dimming  Some of the features of BCR40X are listed on the right • Negative temperature coefficient  Linear regulators are ideal for low serves as protection for LED’s LED s current LED applications • Pretested output current  If higher current is needed, then • Low voltage drop external circuitry i required t l i it is i d LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 15
  • 16. Linear Regulator Based Driving With an external circuit, the LED current can be made as high as 500mA. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 16
  • 17. How Stable is Linear Regulator Based Driving?  Linear regulators are very stable over a wide range of temperatures.  The temperature characteristics of the BCR4X family from Infineon Technologies is shown on the right.  The reference voltage, which is directly proportional to LED current at two different temperatures (20°C and 100°C), 100°C) was examined. i d  The delta between 20°C and 100°C is only about 1mV, hi h 1 V which means th t th LED current will b very that the t ill be stable over a wide range of temperature. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 17
  • 18. How Much Power Wasted in Linear Regulators? Power on TLE4309 ~ (Vin – Vout) * Current (LED current = 350mA) ~ (12 – 6.4) * 0.35 (Vf of two LEDs = 6.4V) ~ 2W LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 18
  • 19. Advantages and Disadvantages of Linear Drive Advantages of linear current regulators: • Better/more stable regulation compared to resistor regulation • Vf mismatch between LEDs addressed • Vf change due to temperature is addressed • Stable current regulation over a wide temperature range Disadvantages of linear current regulators: • Not very efficient y • Costly compared to resistor drive • Can only be used when total Vf of LEDs less than the supply voltage • If it is a fixed voltage type linear regulator, use of a resistor is still required g yp g , q LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 19
  • 20. Summary In summary, the table below compares resistor drive and linear drive in LED systems/ circuits. Resistor Drive Linear Regulator Vf mismatch between LEDs addressed NO YES Vf change due to temperature addressed NO YES Source voltage variation addressed NO YES Tight current regulation NO YES Simple solution YES YES Costly solution NO YES (compared to resistor driver) Efficient solution NO NO Stable over wide-range of temperature NO YES LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 20
  • 21. Disclaimer All information contained in this document has been checked with the greatest care. OSRAM Opto Semiconductors GmbH can however, not be made liable for any damage that occurs in connection with the use of these contents. OSRAM Opto Semiconductor GmbH makes no representations and warranties as to a possible interference with third parties' intellectual property rights in view of products originating f i i ti from one of OSRAM Opto Semiconductor GmbH's partners, or in view of f O t S i d t G bH' t i i f products being a combination of an OSRAM Opto Semiconductor GmbH's product and a product of one of OSRAM Opto Semiconductor GmbH's partners. Furthermore, OSRAM Opto Semiconductors GmbH cannot be made liable for any damage that occurs in p y g connection with the use of a product of one of OSRAM Opto Semiconductor GmbH's partners, or with the use of a combination of an OSRAM Opto Semiconductor GmbH's product and a product of one of OSRAM Opto Semiconductor GmbH's partners. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 21
  • 22. Thank you for your attention. LED Fundamentals | Driving LEDs - Resistors and Linear Drivers| Page 22