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| Input data |
f= |
0.1 |
kHz |
Measurement frequency |
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| |
L1= |
77.1 |
uH |
L1 Inductance @ f |
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L2= |
2.3 |
uH |
L2 Inductance @ f |
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L3= |
0.0 |
uH |
L3 Inductance @ f |
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Q1= |
5.7 |
|
L1 Quality factor @ f |
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Q2= |
0.7 |
|
L2 Quality factor @ f |
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Q3= |
0.0 |
|
L3 Quality factor @ f |
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L(1+2)= |
92.7 |
uH |
L1 + L2 Inductance (Magnetic fields
aiding) |
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L(1-2)= |
66.1 |
uH |
L1 - L2 Inductance (Magnetic fields
opposing) |
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L(2+3)= |
0.0 |
uH |
L2 + L3 Inductance (Magnetic fields
aiding) |
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| |
L(2-3)= |
0.0 |
uH |
L2 - L3 Inductance (Magnetic fields
opposing) |
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| |
L(3+1)= |
0.0 |
uH |
L3 + L1 Inductance (Magnetic fields
aiding) |
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| |
L(3-1)= |
0.0 |
uH |
L3 - L1 Inductance (Magnetic fields
opposing) |
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| |
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| Intermediate |
M12= |
6.7 |
uH |
L1--L2 Mutual Inductance |
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| data |
M23= |
0.0 |
uH |
L2--L3 Mutual Inductance |
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| |
M31= |
0.0 |
uH |
L3--L1 Mutual Inductance |
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| Output data |
K12= |
0.499 |
|
L1--L2 Coupling coefficient |
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K23= |
0.000 |
|
L2--L3 Coupling coefficient |
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K31= |
0.000 |
|
L3--L1 Coupling coefficient |
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R1= |
8.50 |
mOhm |
L1 Equivalent series resistor @ f |
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R2= |
2.19 |
mOhm |
L2 Equivalent series resistor @ f |
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| |
R3= |
0.06 |
mOhm |
L3 Equivalent series resistor @ f |
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| Input data |
f= |
1.0 |
kHz |
Measurement frequency |
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| |
L1= |
76.5 |
uH |
L1 Inductance @ f |
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L2= |
2.3 |
uH |
L2 Inductance @ f |
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L3= |
0.0 |
uH |
L3 Inductance @ f |
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Q1= |
42.2 |
|
L1 Quality factor @ f |
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Q2= |
5.9 |
|
L2 Quality factor @ f |
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Q3= |
0.0 |
|
L3 Quality factor @ f |
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L(1+2)= |
91.9 |
uH |
L1 + L2 Inductance (Magnetic fields
aiding) |
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L(1-2)= |
65.6 |
uH |
L1 - L2 Inductance (Magnetic fields
opposing) |
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| |
L(2+3)= |
0.0 |
uH |
L2 + L3 Inductance (Magnetic fields
aiding) |
|
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| |
L(2-3)= |
0.0 |
uH |
L2 - L3 Inductance (Magnetic fields
opposing) |
|
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| |
L(3+1)= |
0.0 |
uH |
L3 + L1 Inductance (Magnetic fields
aiding) |
|
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| |
L(3-1)= |
0.0 |
uH |
L3 - L1 Inductance (Magnetic fields
opposing) |
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| |
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| Intermediate |
M12= |
6.6 |
uH |
L1--L2 Mutual Inductance |
|
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|
| data |
M23= |
0.0 |
uH |
L2--L3 Mutual Inductance |
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| |
M31= |
0.0 |
uH |
L3--L1 Mutual Inductance |
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| Output data |
K12= |
0.496 |
|
L1--L2 Coupling coefficient |
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K23= |
0.000 |
|
L2--L3 Coupling coefficient |
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K31= |
0.000 |
|
L3--L1 Coupling coefficient |
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| |
R1= |
11.39 |
mOhm |
L1 Equivalent series resistor @ f |
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R2= |
2.45 |
mOhm |
L2 Equivalent series resistor @ f |
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R3= |
0.06 |
mOhm |
L3 Equivalent series resistor @ f |
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| Input data |
f= |
10.0 |
kHz |
Measurement frequency |
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| |
L1= |
75.9 |
uH |
L1 Inductance @ f |
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| |
L2= |
2.2 |
uH |
L2 Inductance @ f |
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| |
L3= |
0.0 |
uH |
L3 Inductance @ f |
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| |
Q1= |
164.8 |
|
L1 Quality factor @ f |
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Q2= |
38.9 |
|
L2 Quality factor @ f |
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Q3= |
0.0 |
|
L3 Quality factor @ f |
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L(1+2)= |
91.2 |
uH |
L1 + L2 Inductance (Magnetic fields
aiding) |
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| |
L(1-2)= |
65.1 |
uH |
L1 - L2 Inductance (Magnetic fields
opposing) |
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| |
L(2+3)= |
0.0 |
uH |
L2 + L3 Inductance (Magnetic fields
aiding) |
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| |
L(2-3)= |
0.0 |
uH |
L2 - L3 Inductance (Magnetic fields
opposing) |
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| |
L(3+1)= |
0.0 |
uH |
L3 + L1 Inductance (Magnetic fields
aiding) |
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| |
L(3-1)= |
0.0 |
uH |
L3 - L1 Inductance (Magnetic fields
opposing) |
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| |
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| Intermediate |
M12= |
6.5 |
uH |
L1--L2 Mutual Inductance |
|
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|
|
| data |
M23= |
0.0 |
uH |
L2--L3 Mutual Inductance |
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| |
M31= |
0.0 |
uH |
L3--L1 Mutual Inductance |
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| Output data |
K12= |
0.505 |
|
L1--L2 Coupling coefficient |
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| |
K23= |
0.000 |
|
L2--L3 Coupling coefficient |
|
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| |
K31= |
0.000 |
|
L3--L1 Coupling coefficient |
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| |
R1= |
28.94 |
mOhm |
L1 Equivalent series resistor @ f |
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| |
R2= |
3.55 |
mOhm |
L2 Equivalent series resistor @ f |
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| |
R3= |
0.06 |
mOhm |
L3 Equivalent series resistor @ f |
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| |
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| Input data |
f= |
100.0 |
kHz |
Measurement frequency |
|
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|
|
| |
L1= |
75.7 |
uH |
L1 Inductance @ f |
|
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| |
L2= |
2.2 |
uH |
L2 Inductance @ f |
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| |
L3= |
0.0 |
uH |
L3 Inductance @ f |
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Q1= |
243.1 |
|
L1 Quality factor @ f |
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Q2= |
99.7 |
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L2 Quality factor @ f |
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| |
Q3= |
0.0 |
|
L3 Quality factor @ f |
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| |
L(1+2)= |
91.0 |
uH |
L1 + L2 Inductance (Magnetic fields
aiding) |
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| |
L(1-2)= |
64.9 |
uH |
L1 - L2 Inductance (Magnetic fields
opposing) |
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| |
L(2+3)= |
0.0 |
uH |
L2 + L3 Inductance (Magnetic fields
aiding) |
|
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| |
L(2-3)= |
0.0 |
uH |
L2 - L3 Inductance (Magnetic fields
opposing) |
|
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| |
L(3+1)= |
0.0 |
uH |
L3 + L1 Inductance (Magnetic fields
aiding) |
|
|
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|
| |
L(3-1)= |
0.0 |
uH |
L3 - L1 Inductance (Magnetic fields
opposing) |
|
|
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| |
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|
|
|
| Intermediate |
M12= |
6.5 |
uH |
L1--L2 Mutual Inductance |
|
|
|
|
| data |
M23= |
0.0 |
uH |
L2--L3 Mutual Inductance |
|
|
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|
| |
M31= |
0.0 |
uH |
L3--L1 Mutual Inductance |
|
|
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| |
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|
|
| Output data |
K12= |
0.506 |
|
L1--L2 Coupling coefficient |
|
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|
|
| |
K23= |
0.000 |
|
L2--L3 Coupling coefficient |
|
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|
| |
K31= |
0.000 |
|
L3--L1 Coupling coefficient |
|
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| |
R1= |
195.65 |
mOhm |
L1 Equivalent series resistor @ f |
|
|
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|
| |
R2= |
13.86 |
mOhm |
L2 Equivalent series resistor @ f |
|
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|
| |
R3= |
0.01 |
mOhm |
L3 Equivalent series resistor @ f |
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| This worksheet calculates the coupling coefficients for a
magnetic structure with three coupled inductors. |
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| The calculation is based on measuring the inductances of any
combination of two inductors connected in |
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| series, with fields aiding and opposing. |
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| The calculated coupling coefficients and equivalent series
resistors, together with measured inductances can |
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| now be used to generate a Spice model. |
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| SMPS Power Supplies, Inc. |
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| Doing The Right Thing Is The Right Thing To Doä |
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| www.SMPS.com |
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| www.GoToPower.net |
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| Copyright © 1998-2005 SMPS Power Supplies,
Inc. All rights reserved. |
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| Copyright © 1990-1997 LCD Consulting |
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| Copyright © 1979-1989 Constantin Darius Livescu |
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