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AN1673 Datasheet(PDF) 18 Page - STMicroelectronics

Part # AN1673
Description  L6598 OFF-LINE CONTROLLER FOR RESONANT CONVERTERS
PDF  24 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN1673 Datasheet(HTML) 18 Page - STMicroelectronics

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AN1673 APPLICATION NOTE
18/24
The design of the winding starts calculating the minimum requested primary turns number.
For turns number calculation:
[16]
; NP ≥ 50
Where: Vin(min) = 360V ; ∆B = 0.230T (*) ; Ae = 0.6cm
2
(*) In the case AP is defined by the AP1,
∆B is calculated by the formula [17].
[17]
where:
; Pt = 1.3 · AP10.37
Instead, in the case that AP should by AP2,
∆Bmax will be fixed by the designer (up to 0.400Tesla).
Choose primary turns number Np = 60
The turn's (n = Np/Ns) ratio will define the secondary winding turns number.
[18]
; n = 10
Where: duty=0.5;
Choose n = 12*; Secondary turns Ns = 5**
* The ratio n can be significantly higher than [18] because the Lmag effect
** The secondary winding is realized with Ns = 5+5 turns because of the center-tapped solution.
In order to limit skin effect (and the inherent power losses), the Litz wire solution has been adopted for the
windings:
– 20 wires 0.1mm each for the primary winding (=> 0.157 mm2 cross section)
– 60 wires 0.1mm each at the secondary winding (=> 0.47mm2 cross section)
As the primary and secondary windings have been defined, we need fix the inductances of the transformer.
The formula [19] allows calculating, with good approximation, the value of the primary inductance in func-
tion of ferrite set and the gap length, the ferrite's set parameters and the primary turns number.
[19]
Where:
µ0 = 4 · π · 10-7 is the absolute permeability. µr is the relative permeability (e.g. 2000)
le is the magnetic path length, (in cm). Ae is the effective area (in cm2).
l_gap is the gap size (in mm).
The calculated primary inductance will be in mH. In our case the L=0.85mH.
N
P
V
in min
() 10
4
⋅
8B
∆
ƒ
sw
Ae
⋅⋅
⋅
------------------------------------------
=
B
∆
Pcv
kh ƒ
sw
Ke ƒ
sw
2
⋅
+
⋅
----------------------------------------------------



1
2.4
--------
0.230T
==
Pcv
Pt
2Ve
⋅
---------------
=
n
V
in min
() duty
⋅
V
o
V
ƒ
+
--------------------------------------
=
L
10
1
–
µ
0
------------
le
µ
r
Ae
⋅
-----------------
0.1 l_gap
⋅
Ae
0.2 l_gap
π
4
---
⋅⋅
+

 2
--------------------------------------------------------------
⋅





⋅




 1
–
Np
2
⋅
=



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