Parallel RLC transient response overshoot equation

Discussion in 'General Electronics Chat' started by Jwkasmann, Oct 6, 2008.

  1. Jwkasmann

    Thread Starter New Member

    Oct 6, 2008
    2
    0
    Hi all,

    I'm doing some short-circuit cutout testing at work and the standard calls for an amplitude factor, or overshoot, of 1.6. The load is parallel RLC, single phase. I'm trying to find an equation for the overshoot in terms of chosen R, L, and C values (or vice versa). I've got the frequency figured out, but looking through my old textbooks I can't find anything about the overshoot. Any help would be greatly appreciated!
     
  2. Jwkasmann

    Thread Starter New Member

    Oct 6, 2008
    2
    0
    By 1.6, I mean 1.6 times the steady state voltage
     
  3. scubasteve_911

    Senior Member

    Dec 27, 2007
    1,202
    1
    You need to get the system in terms of a transfer function via laplace transformation of the circuit(assuming 2nd order bc of CL part). Then, ensure your TF is in form of 8.27

    http://books.google.ca/books?id=Bk6...&hl=en&sa=X&oi=book_result&resnum=5&ct=result

    You can determine quite a bit of how your system will respond from this equation. If inclined to do so, one could design a PI or PID compensator, insert poles, etc. into the system to get the desired response.

    Steve
     
Loading...