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AN3142 Datasheet(PDF) 17 Page - STMicroelectronics

Part # AN3142
Description  Solution for designing a 400 W fixed-off-time controlled
PDF  44 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3142 Datasheet(HTML) 17 Page - STMicroelectronics

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AN3142
Designing a fixed-off-time PFC
Doc ID 17005 Rev 3
17/44
4.3.5
Power MOSFET selection and power dissipation calculation
The selection of the MOSFET concerns mainly its RDS(on), basically proportional to the
output power. The MOSFET breakdown voltage is selected considering the PFC nominal
output voltage
(4) and adding some margin (20%) to guarantee reliable operation.
Therefore, a voltage rating of 500 V (1.2 · Vout = 480 V) is selected. Using its current rating
as a rule of thumb, we can select a device having ~ 3 times the RMS switch current
(
Equation 16) but, the power dissipation calculation gives the final confirmation that the
selected device is the right one for the circuit, also taking into account the heat sink
dimensions. For example in a 400 W PFC application two parallel STP12NM50FP
MOSFETs can be selected.
The MOSFET's power dissipation depends on conduction, switching and capacitive losses.
The conduction losses at maximum load and minimum input voltage are calculated by:
Equation 29
Because normally in the datasheets the RDS(on) is given at ambient temperature (25°C) to
calculate correctly the conduction losses at 100°C (typical MOSFET junction operating
temperature), a factor of 1.75 to 2 should be taken into account. The exact factor can be
found on the device datasheet.
Now, combining
Equation 29 and Equation 16, the conduction losses referred to a 1
Ω
RDS(on), at ambient temperature as a function of Pin and VAC can be calculated:
Equation 30
The switching losses due to the MOSFET current-voltage IMOS, VMOS crossing occurs at
turn-on and turn-off because of the FOT operation and can be basically expressed by:
Equation 31
Because the switching frequency depends on the input line voltage and on the position on
the sinusoidal waveform, it can be demonstrated that from
Equation 31 the switching losses
per 1 µs of current rise and fall time can be written as:
Equation 32
From the STP12NM50FP datasheet trise = tfall = 0.01 µs is the crossover time at turn-on and
off. At turn-on the losses are due to the discharge of the total drain capacitance inside the
MOSFET itself. In general, the capacitive losses are given by:
()2
rms
on
cond
)
VAC
(
ISW
RDS
)
VAC
(
P
⋅
=
2
out
in
2
rms
cond
3
)
VAC
(
k
16
2
V
)
VAC
(
k
P
2
))
VAC
(
ISW
(
2
)
VAC
(
P
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
π
⋅
−
⋅
⋅
⋅
=
⋅
=
′
)
VAC
(
f
2
t
t
I
V
)
VAC
(
P
sw
fall
rise
MOS
MOS
switch
⋅
⎟
⎠
⎞
⎜
⎝
⎛
+
⋅
⋅
=
()
∫
π
ϑ
⋅
θ
⋅
ϑ
π
⋅
⎟⎟⎠
⎞
⎜⎜⎝
⎛
∆
−
⋅
=
′
0
sw
2
pk
max
pk
out
switch
d
)
,
VAC
(
f
sin
1
2
IL
IL
V
)
VAC
(
P



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