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  1. #101
    Following from Jonathan's post #99

    Transformer Inrush - Open Electrical

  2. The Following User Says Thank You to EddyCurrent For This Useful Post:


  3. #102
    Quote Originally Posted by EddyCurrent View Post
    Following from Jonathan's post #99

    Transformer Inrush - Open Electrical
    Good article, but they could have expressed the final equation more clearly to demonstrate their point. Also, it's a bit pointless to solve the differential equation using Laplace transforms when you can trivially separate the variables. This is how I did it:

    From Faraday's law:
    .
    Seperate variables:
    .
    Use sin(A+B) identity to make it easy to integrate:
    .
    Integrate:
    .
    Use cos(A+B) identity to simplify:
    . (1)
    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; 13-01-2014 at 12:28 AM.
    Old router build log here. New router build log here. Lathe build log here.
    Electric motorbike project here.

  4. #103
    I used to like Laplace transforms but that was 40 years ago, I've never needed to use them since

  5. #104
    Quote Originally Posted by EddyCurrent View Post
    I used to like Laplace transforms but that was 40 years ago, I've never needed to use them since
    I much prefer the Lapdance performs. . Makes me constant, which introduces a DC offset that disappears when the switching angle is ...at the peak. .

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