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AN2644 Datasheet(PDF) 55 Page - STMicroelectronics

Part # AN2644
Description  An introduction to LLC resonant
PDF  64 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN2644 Datasheet(HTML) 55 Page - STMicroelectronics

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AN2644
Power MOSFET effective Coss and half-bridge midpoint's transition times
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Then, assuming that the two MOSFETs are identical to one another (so that Coss25-1 =
Coss25-2 = Coss25), and referring to the voltage of the half-bridge midpoint VHB (= VDS2), their
individual Coss will be:
Equation 42
Equation 43
and their instantaneous cumulative value will be:
Equation 44
The diagram of equations (Equation 43) and (Equation 44) are shown in Figure 34. The
branch-constitutive equation of the capacitor Coss:
Equation 45
can be integrated by variable separation.
Figure 34.
Coss capacitances vs. half-bridge midpoint's voltage
C
oss1
5
V
DS1
------------------C
oss25
5
V
in
V
HB
–
-----------------------------C
oss25
=
=
C
oss2
5
V
DS2
------------------C
oss25
5
V
HB
---------------C
oss25
=
=
Coss V
HB
()
C
oss1
C
oss2
5
1
V
HB
---------------
1
V
in
V
HB
–
-----------------------------
+
⎝⎠
⎜⎟
⎛⎞
C
oss25
=
+
=
I
C
oss
t
()
C
oss VHB
()
dV
HB
dt
--------------
I
C
oss
t
()dt C
oss VHB
()dV
HB
=
⇒
=
0
100
200
300
400
0
7.5 .10
11
1.5 .10
10
2.25 .10
10
3 .10
10
Coss1
Coss2
Coss
Cstray
V
F
VHB (= VDS2)
0
100
200
300
400
0
7.5 .10
11
1.5 .10
10
2.25 .10
10
3 .10
10
Coss1
Coss2
Coss
Cstray
V
F
VHB (= VDS2)



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