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slva390

My issue is not related with any part. I have a question in the datasheet "slva390". In the datasheet the rms inductor current is derived as Io^2 + ΔI^2/12.  Can i know how is this derived. Because the rms of a triangle waveform is ΔI^2/3.

Thank you.

  • I am not sure exactly were it was derived, but I have seen that same equation in many, many documents.  I am sure it is correct.  If you start from:

    Irms = SQRT ( ((ton +toff)/T) * (Imin * Imax + ((Imax -Imin)^2)/3)

    Irms = SQRT ( (1) *(( Iout -ILpp/2) * (Iout+ILpp/2) +((Iout +ILpp/2) - (Iout-ILpp/2))^2) / 3 )

    Irms = SQRT( Iout^2 - ((ILpp^2)/4) + (ILpp^2)/3)

    Irms = SQRT ( (Io^2) +  ((Ilp-p)^2)/12 ), same as the app note.

  • Thank you very much. Yes, now i can derive it.
    Thank you again for replying so fast.