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FAN100 Fiches technique(PDF) 11 Page - Fairchild Semiconductor

No de pièce FAN100
Description  Design and Application of Primary-Side Regulation (PSR) PWM Controller
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Fabricant  FAIRCHILD [Fairchild Semiconductor]
Site Internet  http://www.fairchildsemi.com
Logo FAIRCHILD - Fairchild Semiconductor

FAN100 Fiches technique(HTML) 11 Page - Fairchild Semiconductor

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AN-6067
APPLICATION NOTE
© 2008 Fairchild Semiconductor Corporation
www.fairchildsemi.com
Rev. 1.0.1 • 1/26/10
11
voltage reaches the turn-off threshold voltage of the PSR
controller. Therefore, if n
a was calculated, the Vo,“B” can be
obtained as:
," "
6.75 -
fa
f
a
OB
a
VV
n
V
n
+⋅
⎛⎞
= ⎜⎟
⎝⎠
(12)
where:
Vfa is forward-voltage of rectifier diode of auxiliary winding.
Vf is forward-voltage of output diode.
6.75V is typically the turn-off threshold voltage of the PSR
controller.
The maximum duty ratio can be calculated by using a point
“B” output condition:
," "
.max," "
.min," "
," "
()
()
po B
f
on
B
in
B
p
o B
f
nV
V
d
Vn
V
V
⋅+
=
+⋅
+
(13)
The transformer inductance (L
p) is designed specifically for
DCM operation and a CC tolerance of +/-10% should be
considered. The transformer inductance can be obtained as:
22
," "
.min," "
max," "
," "
2
Bin
B
B
p
oB
o
s
Vd
L
VI
f
η ⋅⋅
=
⋅⋅ ⋅
(14)
where:
η,”B” is the estimated system efficiency of point “B.”
If no values are available, use 0.45~0.5 as an initial value.
fs is the PWM frequency.
After the primary inductance is calculated, the maximum
duty ratio of point “A” can be expressed as:
," "
.max," "
2
," "
. min," "
2
OA
O
P
on
A
Ain
A
s
VI
L
d
VT
η
⋅⋅
=
⋅⋅
(15)
where T
s is the switching period.
The primary peak inductor current (IPK) of point “A” at full
load and low line input voltage condition is:
.min," "
," "
.max," "
in
A
pkA
on
A
S
p
V
id
T
L
=⋅
(16)
Determine Primary Inductance Turn Number
Based on Faraday’s law and the peak inductor current, the
minimum turns for the primary inductance is calculated as:
," "
6
max
10
ppk
A
pri
e
Li
N
BA
=
(17)
where:
Bmax is the saturation magnetic flux density,
Ae is the effective area of the core-section.
The number of turns for the secondary winding is defined as:
sec
pri
p
N
N
n
=
(18)
Once the secondary winding has been calculated, the
number of turns for the auxiliary winding is defined as:
sec
aux
a
Nn
N
=
(19)
Determine the Divider Resistor (R1) and Current-
Sense Resistor (RS)
Once the output voltage VO and auxiliary winding have been
defined, the feedback signal divider resistor, R1, can be
calculated as:
()
12
1
a
Of
ref
n
RR
VV
V
=
⋅⋅
+
(20)
where V
ref=2.5V, R2 is typically set to 15~20KΩ.
As discussed in the Constant Current Output Regulation
section, the region of constant current output operation can be
adjusted by the current-sense resistor. After the turn ratio (n
p)
has been determined, the relationship between the output
current IO and current sense resistor R
s is expressed as:
0.111875
p
S
O
n
R
I
=
(21)
As Figure 27 shows, a design spreadsheet can be used to
calculate the transformer design and select the power system
components for a first prototype. A 5V/1A design example
is shown in Figure 27.


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