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AN4501 Datasheet(PDF) 37 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) 37 Page - STMicroelectronics

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AN4501
Selection of the switching MOSFET
47
The related switching energy is estimated by:
At the end of the t6 phase, vM1,GS reaches vM1,GS,TH. Therefore, the drain current of M1 is
zero and the diode conducts the inductor current IL,PEAK. The switching loss in this interval
is zero.
To sum up, the switching losses during the turn-off of M1 are equal to the total switching
energy during this phase, multiplied by the switching frequency.
Equation 27:
Where tM1,SWOFF = t5 + t6.
Total power switching losses of M1
From Equation 26 and Equation 27, we can estimate the total switching losses of M1:
Equation 28:
If the switch-on and switch-off times do not significantly differ, we can approximate the term
IL,VALLEY x tM1,SWON + IL,PEAK x tM1,SWOFF by IL (tM1,SWON + tM1,SWOFF):
Equation 29:
We see that the switching losses reach the maximum value at VIN,MIN, which corresponds to
IL,MAX.
8.3.2
Iterative calculation of the junction temperature of M1
The temperature dependence of the Rdson requires an iterative calculation. We propose
here a way how to proceed.
To have a first approximation of the junction temperature of M1, we consider that the
switching losses are temperature independent.
The Figure 18 sums up the proposed procedure:
V
OUT
I
L PEAK
,
×
t
6
×
2
-------------------------------------------------------
P
M1,SWOFF
V
OUT
I
LPEAK
,
×
t
M1,SWOFF
F
SW
×
×
2
--------------------------------------------------------------------------------------------------
=
P
M1,SW
P
M1,SWON
P
M1,SWOFF
+
==
V
OU T
F
SW
×
2
----------------------------------
=
I
L,VALLEY
t
M1,SWON
I
L,PEAK
t
M1,SWOFF
×
+
×
()
P
M1,SW
V
OUT
I
L
×
F
SW
×
2
--------------------------------------------- t
M1,SWON
t
M1,SWOFF
+
()
=



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