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AN4501 Datasheet(PDF) 44 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) 44 Page - STMicroelectronics

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Calculation details
AN4501
44/48
DocID026394 Rev 1
Equation 30:
Since
, finally:
8.6
Calculation of the freewheeling diode RMS current
By similarity of the MOSFET (see Figure 22) and diode (see Figure 23) current waveforms:
the diode RMS current can be derived from Equation 30.
The peak current and valley currents are the same. The diode conduct during (1 - D) x T in
a switching cycle, whereas the MOSFET conducts during D x T. Therefore in the case of the
diode, D must be replaced by 1 - D in Equation 30.
Equation 31:
Figure 23. Typical current waveform of the freewheeling diode in CCM
8.7
Calculation of the inductor RMS current
Figure 2 shows that:
iL = iM1 (and (iD = 0)) for 0 < t < DT
I
M1,RMS
2
D
3I
L,PP
×
----------------------
I
L,PP
3I
L
2
I
L,PP
2
4
----------------
+



×



=
I
M1,RMS
2
DI
L
2
I
L,PP
2
12
----------------
+



×
=
I
L
I
OU T
1D
–
-------------
=
I
M1,RMS
I
OU T
1D
–
-------------
D1
1
12
------
I
L,PP
I
L
------------


 2
+



×
×
=
I
D,RMS
2
1D
–
()
I
L
2
I
L,PP
2
12
----------------
+



×
=



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