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LED2000DR Datasheet(PDF) 23 Page - STMicroelectronics

Part # LED2000DR
Description  3 A monolithic step-down current source with synchronous rectification
PDF  40 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

LED2000DR Datasheet(HTML) 23 Page - STMicroelectronics

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23/40
LED2000
Application information
40
Figure 15. Equivalent circuit
The LED ripple current can be calculated as the inductor ripple current ratio flowing into the
output impedance using the Laplace transform (see Figure 11):
Equation 23
where the term 8/
2 represents the main harmonic of the inductor current ripple (which has
a triangular shape) and
I
L is the inductor current ripple.
Equation 24
so L value can be calculated as:
Equation 25
where TOFF is the OFF-time of the embedded high switch, given by 1-D.
As a consequence, the lower the inductor value (so the higher the current ripple), the higher
the COUT value would be to meet the specification.
A general rule to dimension L value is:
Equation 26
Finally, the required output capacitor value can be calculated equalizing the LED current
ripple specification with the module of the Fourier transformer (see Equation 23) calculated
at FSW frequency.
IRIPPLE s

8
2
------
I
L
1 s ESR COUT

+


1s
RS ESR nLED RLED
++
 C
OUT

+
-----------------------------------------------------------------------------------------------------------
=
I
L
VOUT
L
-------------- TOFF
nLED VFW_LED 100mV
+
L
------------------------------------------------------------------ TOFF
==
L
nLED VFW_LED 100mV
+
I
L
------------------------------------------------------------------ TOFF
nLED VFW_LED 100mV
+
I
L
------------------------------------------------------------------
1
nLED VFW_LED 100mV
+
VIN
------------------------------------------------------------------
–


==
I
L
ILED
-----------
0,5



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