The Following User Says Thank You to EddyCurrent For This Useful Post:
From Faraday's law:
Use sin(A+B) identity to make it easy to integrate:
Use cos(A+B) identity to simplify:
When the transformer is switched on, we have the initial condition relating to the residual flux:
So substitute this in to (1) to find constant, k:
So the solution is:
So now it's easier to see that the term is a constant, which introduces a DC offset that disappears when the switching angle is ... i.e at the peak voltage.
Last edited by Jonathan; 12-01-2014 at 11:28 PM.
I used to like Laplace transforms but that was 40 years ago, I've never needed to use them since
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