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AN4501 Datasheet(PDF) 42 Page - STMicroelectronics

Part # AN4501
Description  Design of a boost LED driver using L99LD01
PDF  48 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4501 Datasheet(HTML) 42 Page - STMicroelectronics

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Calculation details
AN4501
42/48
DocID026394 Rev 1
In steady state, by definition, the current starts at each switching cycle at the same value,
which means that the current increase during tON is exactly compensated the current
decrease during tOFF.
or
This property is known as the volt-second balance. As a consequence, on the inductor
voltage waveform (see Figure 21), the area under VL in during tON is equal to the area
above VL during tOFF.
Figure 21. Typical inductor waveforms in continuous conduction mode
Neglecting VSW and VF in the case of an ideal converter (without power loss and 100%
efficiency) we have:
Extracting the duty cycle in the last equation:
ΔI
LO FF
V
LO FF
,
L
--------------------
t
OFF
×
==
V
IN
V
OU T
–
V
FDIO DE
–
L
---------------------------------------------------------------
=
t
OFF
×
V
IN
V
OU T
–
V
FDIODE
–
L
---------------------------------------------------------------
1D
–
F
SW
-------------
×
=
ΔI
LO N
,
ΔI
LO FF
,
+
0
=
V
LO N
,
t
ON
×
V
LO FF
,
t
OFF
×
+
0
=
V
IN
V
SW
–
() D
×
V
OUT
V
F
V
IN
–
+
()
1D
–
()
×
=
V
IN
D
×
V
OUT
1D
–
()
×
=



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