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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.

Short-circuited inductance Lshort =    (with all other windings short-circuited; must be smaller than Lopen)

Open-circuited inductance Lopen =    (with all other windings open-circuited; must be higher than Lshort)

      Coupling coefficient k = (unitless)

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calculator/magnetic_coupling_coefficient.txt · Last modified: 2025/01/26 00:52 by stan_zurek

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