calculator:magnetic_coupling_coefficient
Calculator of magnetic coupling coefficient
 | Stan Zurek, Calculator of magnetic coupling coefficient, Encyclopedia Magnetica, https://www.e-magnetica.pl/doku.php/calculator/magnetic_coupling_coefficient, {accessed: 2025-05-01} |
The unitless value of the coupling coefficient k for a strongly-coupled multi-winding transformer (or a coupled inductor) can be approximately calculated with the equation as below.
| Magnetic coupling coefficient k | ||
|---|---|---|
| Source: [1] A. Abdolkhani, A. Hu and N. Nair, Modelling and Parameters Identification of Through-Hole Type Wind Turbine Contactless Sliprings, Engineering, Vol. 4 No. 5, 2012, pp. 272-283, doi: 10.4236/eng.2012.45036 | ||
| [1], eq. (63), p. 280 (rearranged) | $$ k = \sqrt{1 - \frac{L_{short}}{L_{open}} } $$ | (unitless) |
| where: $L_{open}$ - inductance (H) of the first winding measured with the other windings open-circuited, $L_{short}$ - inductance (H) of the first winding measured with the other windings short-circuited. | ||
| Note: This equation is valid only for strongly-coupled windings (relatively low leakage inductance). As per [1], the Lshort value represents the resulting inductance which strictly speaking is not the leakage inductance. The calculation is more accurate if the primary and secondary inductances are equal. | ||
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calculator/magnetic_coupling_coefficient.txt · Last modified: 2025/01/26 00:52 by stan_zurek