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AN1889 Datasheet(PDF) 11 Page - STMicroelectronics

Part # AN1889
Description  The need to choose a high value of the fly-back voltage
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN1889 Datasheet(HTML) 11 Page - STMicroelectronics

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AN1889
Application description
11/33
Equation 10
2.2
Fly-back transformer design
Once defined the turn ratio, the needed primary inductance and the peak current, to
complete the design of the transformer we still need to determine the magnetic core
material, its geometry, and the exact number of primary turns. The choice of correct size
and material of transformer is often an iterative process that may require several try and
error steps before finding the optimal choice. Standard soft ferrite with gaped core and E-
type geometry is a common choice for fly-back operation. The calculation of the product of
the areas AP (cross sectional active area of the core multiplied by window area available for
winding) shown in the formula below can help find the dimension of the core:
Equation 11
Where
∆T is the maximum temperature variation with respect to the ambient temperature,
KU is the utilization factor of the window (say the portion of the window used for winding that
generally ranges between 0.4 and 0.7), and Bmax is the maximum flux in the core.
By the way all ferrite manufacturers report tables with the suggested core type and size for
given output power and frequency.
For our project the type ED2924-PC40 ferrite material from TDK has been chosen. Next
step is to determine the air gap length (lg) of the core and the inductance of a single turn
(AL) needed to calculate the exact number of primary turns.
The core must not saturate even at high temperature and in overload conditions (like start-
up or secondary short circuit), the level of this current in the present project can reach 1.6 A.
By imposing the IDCmax =1.8 A for safety margin, ferrite's manufacturer supplies the
following values for the selected ED2924-PC40 core:
lg = 0.8 [mm]
AL = 0.13 [mH]
By knowing AL, the exact number of both primary and secondary turns can be easily
calculated.
In fact, being the primary inductance:
Equation 12
Finally from Equation 3: NS=7.5
The closest higher integer has been chosen for the demo board: NS=8
At this point we can also calculate the auxiliary winding needed to supply the driver. In our
case the driver used is the UC3842 that from its specification can be driven with 15 V. By
applying again formula1 we can calculate the primary-to-auxiliary turn ratio:
I
ms primary
()
I
P
3
-------
T
onmax
T
S
-------------------
0.38A
=
=
A
P
10
3 LPIms primary
()
∆T
1
2
---
K
uBmax
-------------------------------------
1.316
cm4
]
[
=
L
P
N
2
A
L
N
P
150
=
=


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