Steinmetz Equation For Calculating Transformer's Core Loss

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BlackMelon

Joined Mar 19, 2015
162
Hi there!

Recently, I am reading Steinmetz's paper (pdf file). I am comparing his core loss formula (in CGS unit) to the one in the SI system below:
1690010371232.png
source: https://www.powersystemsdesign.com/articles/ac-losses-in-magnetic-components/140/18823

So, I made some derivation from Steinmetz's first and second formula (substitute 2nd into 1st). I beleive W should be power instead of energy, since its unit is Joules/sec.
1690010647841.jpeg

After substitution, I got the 3rd equation. However, the frequency (N) does not have any power, unlike the frequency (f^x) in the SI formula.

So, I would like to know why this is such a case. How do we convert this formula into the SI correctly?

BlackMelon
 

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