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AN4070 Datasheet(PDF) 16 Page - STMicroelectronics

Part # AN4070
Description  250 W grid connected microinverter
PDF  53 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN4070 Datasheet(HTML) 16 Page - STMicroelectronics

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DC-DC converter design
AN4070
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Doc ID 022934 Rev 1
The maximum wire diameter to avoid skin effect is given by:
Equation 25
Assuming a current density J of 5 A/mm^2:
Equation 26
The primary and secondary wire selection can be done according to the following equation:
Equation 27
where Awp and Aws are the primary and secondary wire cross sectional areas.
Considering the mean turn length value reported in Table 6, the primary and secondary
winding length can be calculated using the following equations:
Equation 28
Knowing that copper resistivity
ρ is equal to:
Equation 29
The primary and secondary winding resistance values are given by:
Equation 30
7.
Transformer losses calculation:
Having calculated the values of primary and secondary winding resistance the
calculation of copper losses is straightforward with the following equation:
Equation 31
mm
d
7
.
0
2
=
=
δ
2
5
mm
A
J
=
2
86
.
0
5
3
.
4
mm
J
I
A
T
in
wp
=
=
=
m
MLT
N
MLS
m
MLT
N
MLP
288
.
2
10
5
.
71
32
858
.
0
10
5
.
71
12
3
2
3
1
=
⋅
⋅
=
⋅
=
=
⋅
⋅
=
⋅
=
−
−
2
0175
.
0
mm
m
⋅
Ω
=
ρ
Ω
≅
⋅
=
⋅
=
Ω
≅
⋅
=
⋅
=
m
A
MLS
R
m
A
MLP
R
ws
s
wp
p
114
35
.
0
28
.
2
0175
.
0
25
86
.
0
858
.
0
0175
.
0
ρ
ρ
W
V
P
P
e
lm
Fe
19
.
0
10
14000
10
141
9
3
=
⋅
⋅
⋅
=
⋅
=
−



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