3 coupled inductors equivalent model

[SK245230]

Hi,
I am trying to draw the equivalent model of more than 2 coupled inductors.
For two coupled inductors, the equivalent model is the one below.


For two inductors coupled to a third one, I have found this:

This circuit was found with the formulas from here and by neglecting M23:
**broken link removed**

If some of you could help me to find a better circuit than this and that includes M23. Maybe someone knows the rule of how to draw these coupled inductors equivalent models of more than 2 inductors.

 

[CataM]

For more than 2 coupled inductors and additional circuit components, I believe no one draws a useless equivalent circuit. Use only equations and if the circuit is very big, go to mesh analysis directly.

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In your first picture, number of turns make sense only in transformers, not in coupled inductors. In coupled inductors Mutual inductance is used.

 

[FvM]

Provided as-is, an empirical model of a 3-phase choke.

 

[CataM]

Provided as-is, an empirical model of a 3-phase choke.

The dots seem wrongly placed to me. L1b,L2b,L3b should have had their dots at the U,V,W side.

 

[FvM]

The dots seem wrongly placed to me. L1b,L2b,L3b should have had their dots at the U,V,W side.

You can set up the model with reversed Lxb inductors and flipped K polarity if you like. As said it's an empirical model. The circuit elements are adjusted to reproduce the actual measurements of a three phase choke.