Operational considerations for LED lamps and display devices
A thorough understanding of how to interpret datasheet
information is the basis for achieving the optimum drive
circuit design for an LED lamp, LED light bar, or LED seven-segment
display. This article presents an in-depth discussion
on the use of the optical and electrical information contained
in LED device datasheets.
Typical datasheet information
For LED lamps, the first table in the datasheet is usually the selection
guide. This presents information about the typical and miminum axial
luminous intensity (Iv) and the viewing angle.
The next table contains the absolute maximum ratings at an
ambient temperature (TA) of 25°C. These maximum ratings are
typically the peak, DC and average currents; transient current
primarily; operating and storage temperature ranges; and the
absolute maximum LED junction temperature.
The third table, contains the electrical
and some optical characteristics, at an
ambient temperature of 25°C, which are
used to determine the operating
conditions for the device. The forward
voltage (VF) and device thermal resistance
(RθJ-PIN), used in the calculations for the
operating condition, are listed in this
table.
The following graphs are also included
in lamp datasheets and are used to
determine the operational conditions:
- Relative intensity vs. wavelength.
- Forward current vs. forward voltage. (see Figure 1)
- Relative luminous intensity vs. DC forward current. (see Figure 2)
- Relative efficiency vs. peak current. (see Figure 3)
- Maximum forward DC current vs. ambient temperature. (see Figure 4)
- Maximum average current vs. peak forward current. (see Figure 5)
- Relative luminous intensity vs. angular displacement. (Not shown here)

Fig. 1: Forward current vs. forward voltage.
Design criteria
The two criteria that establish the
operating limits are the maximum drive
currents and the absolute maximum LED
junction temperature, TJMAX. The
maximum drive currents have been
established to ensure long operating life.
The absolute maximum LED junction
temperature is a device package limitation
that must not be exceeded.
Thermal resistance
The LED junction temperature (TJ), in degrees Centigrade, is the sum
of the ambient temperature, (TA) and the temperature rise of the LED
junction above ambient (ΔTJ) which is the product of the power
dissipated within the LED junction, (PD) in Watts (W), and the thermal
resistance LED junction-to-ambient, (RθJ-A) as °C/W.
TJ = TA + ΔTJ
TJ = TA + PD x RθJ-A
The cathode leads (pins) of a typical LED device are the primary
thermal paths for heat dissipation from the LED junction to the
surrounding environment. The exceptions are TS AlGaAs lamps, that
use flip-chip technology (anode die attach), where the anode lead is
the primary thermal path. The datasheet lists the thermal resistance of
the LED junction-to-pin, (RθJ-PIN) for each device. This device thermal
resistance is added to the PCB mounting assembly thermal resistance-to-ambient
(RθPC-A) to obtain the overall thermal resistance LED-junction-to-ambient (RθJ-A) in °C/W.
RθJ-A = RθJ-PIN + RθPC-A
RθJ-A is on a per LED chip basis for lamps, light bars, and sevensegment
displays, and on a per device basis for displays with onboard
ICs. For reliable operation, it is
recommended that the value of RθPC-A be
designed low enough to achieve the lowest
possible RθJ-A to ensure that the LED junction
temperature does not exceed the absolute
maximum value when the device is operated in
the maximum surrounding ambient
temperature.

Fig. 2: Relative luminous intensity vs. DC forward current.
Maximum power calculation
The maximum allowed power that may be
dissipated within an LED junction (PMAX) is
determined by multiplying the maximum rated
DC current by the forward voltage for that
current, determined from Figure 1.
PMAX = IDCMAX x VF
Derating vs. temperature
The drive current derating vs. temperature,
Figure 4, is a function of drive current, TJMAX,
and RθJ-A. Typically derating curves are given
from two ambient temperatures: 50°C (solid
line) and 70°C (dashed line). The derating
curves are lines of TJMAX with slopes equal to
the specific maximum RθJ-A values indicated,
intersecting the temperature axis at the
maximum LED junction temperature point with
zero current. Operation of the LED device at a
particular drive current should be at or below a
derating curve with a thermal resistance-toambient
at, or less than, the maximum value
indicated for that curve.

Fig. 3: Relative efficiency vs. peak current.
Current limiting
An LED is a current-operated device and,
therefore, requires some kind of current
limiting incorporated into the drive circuit.
This typically takes the form of a current
limiter resistor (R) placed in series with the
LED. The forward voltage characteristic of
Figure 1 is used to calculate the value of the
series current limiter resistor.
Where:
- VCC = power supply voltage.
- VSAT = saturation voltage of driver transistor(s).
- VF = forward voltage of the LED at IPEAK.
- IPEAK = the peak drive current through the LED.
Light output
The luminous intensity at TA = 25°C for a
particular DC drive condition is determined
using the relative luminous intensity factor
from Figure 2.
- IV (dc) = [IV (25°C)] [relative intensity factor]
Where:
- IV (25°C) is obtained from the datasheet.
For pulsed drive conditions, the time
average luminous intensity is determined
from the relative efficiency characteristic (ήV)
presented in Figure 3. Not all datasheets,
however, include relative efficiency data.
- IV (time average) = [IV (25°C)] [IAVG/IF] [ήV]
Where:
- IV (25°C) = datasheet luminous intensity value.
- IAVG = the time average operating current.
- IF = the current where the datasheet luminous intensity is specified.
- ήV = relative efficiency factor for the peak drive current (IPEAK).
The calculated luminous intensity value at
TA = 25°C can be adjusted for a different
operating ambient temperature by the
following exponential equation, and using
the k factor for the specific LED.
- IV (TA) = IV (25°C)e[k(TA - 25°C)]

Fig. 4: Maximum forward DC current vs. ambient temperature
Pulsed operation vs. DC operation
When operating an LED device under DC
drive conditions, the LED junction
temperature is a linear function of the DC
power dissipation multiplied by RθJ-A. The
light output is proportional to the DC drive
current by the luminous intensity factor of
Figure 2 and as expressed in the above
equation for luminous intensity at TA = 25°C.
For best pulsed operation and overall lightoutput
performance, a rectangular current
waveform with a refresh rate equal to, or
greater than, 100Hz is strongly
recommended. Sinusoidal waveforms are not
generally recommended, as the Root Mean
Square (RMS) power will exceed that of a
rectangular current waveform with the same
peak current value. If a sinusoidal current
waveform is used, the peak current should
not exceed the maximum DC current rating.
Sinusoidal waveforms produce less than twothirds
of the light output of an equivalent
rectangular pulse, and at 50Hz or 60Hz, are
not fast enough to prevent observable flicker.
When operating an LED device in pulsed
current mode, it is the peak junction
temperature, not the average junction
temperature, that governs the performance
of the device. At refresh rates below 1000Hz
(the number of times per second a device is
pulsed), the peak junction temperature is
higher than the average junction
temperature. As a result, the allowed time
average currents for refresh rates between
100Hz and 1000Hz are less than those
permitted at 1000Hz, as can be seen by the
100Hz and 300Hz curves of Figure 5.

Fig. 5: Maximum average current vs. peak forward current.
Design steps
In order to determine the derated drive
conditions from the datasheet for an
elevated ambient temperature, the value for
RθJ-A must be determined. The required
current derating can then be determined for
safe operation at the elevated temperature
directly from Figure 4. The basic design steps
are:
- Determine RθJ-A.
- Calculate the required value for RθPC-A for the PCB-mounting configuration.
- Determine the maximum allowable DC drive current for the operating ambient temperature.
- Calculate the LED-chip power dissipation to be sure it will not cause TJ to exceed the absolute maximum value.
- Calculate the value of the current limiting resistor.
- Determine the luminous intensity at 25°C and at the elevated ambient temperature.

Table 1: k factor for operating temperature adjustments.