Magnetic Field Simulation : Difference in Inductance Values

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Hi All, I have modeled a Transformer 2D as shown in below image in COMSOL AC/DC Module to find the leakage inductance.

https://imgur.com/a/OuJvFQs

I'm using version COMSOL Multiphysics 6.0 (Build: 405). I have used homogenized, numeric, coil group feature for the windings. The LV_a and LV_b constitutes one coil group for the LV winding, with LV_b having reversed current direction. Similarly, the HV_a and HV_b constitutes one coil group of HV Winding (having opposite current direction than LV winding). The LV winding is applied with 5V and HV winding short-circuited (0V). For a Magnetic Field physics study with frequency of 20kHz, the simulation results are as follows:

  • LV Coil current (A) : 0.037315-4.3362i
  • LV Coil inductance (H): 9.1752E-06
  • LV Coil concatenated flux (Wb): 0.00000015255-0.000039787i
  • Total magnetic energy (J): 0.000043133

Now, as per the above results, the LV coil inductance calculated by using the formula,

[L = 2*Total Magnetic Energy / (LV Coil Current)^2]

is 4.587E-06, which is exactly half of the inductance value in the COMSOL results shown above.

So, which value of LV Coil Inductance is correct? And why is the difference? Can someone throw some light on the above issue please?


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