Steady-State Waveform Computation

SEQUEL: Steady-State Waveform (SSW) Computation

There are occasions when one is interested in the "steady-state" behaviour of a circuit with periodic inputs and not so much in how it got there. This is particularly true of many power electronic circuits. We can of course perform transient simulation until steady state is reached, thus obtaining the steady-state behaviour at the end. However, it may take a long time to reach the steady state.

SEQUEL offers the option of efficient SSW computation to the user. The computation techniques implemented in SEQUEL for this purpose are described in Ref. [1]-[5].

The following table illustrates the dramatic saving in computation time that results for a few typical problems when the SSW method is used. In these examples, N1 indicates the number of cycles required to reach the steady state by transient simulation, and N2 is the number of cycles required by the SSW method.

  Example    N1    N2 
  Buck Converter    750    4 
  Boost Converter    625    3 
  Cuk Converter    1250    3 
  1-phase half-wave rectifier    150    3 
  1-phase half-controlled bridge converter    110    4 
  3-phase diode bridge rectifier    200    4 
  Induction motor problem    125    17 



References

  1. T. J. Aprille and T. N. Trick, "Steady-state analysis of nonlinear circuits with periodic inputs," Proc. IEEE, vol. 60, pp. 108-114, 1972.
  2. T. J. Aprille and T. N. Trick, "A computer algorithm to determine the steady-state response of nonlinear oscillators," IEEE Trans. Circuit Theory, vol. 19, pp. 354-360, 1972.
  3. F. R. Colon and T. N. Trick, "Fast periodic steady-state analysis for large-signal electronic circuits," IEEE J. Solid-State Circuits, vol. 8, pp. 260-269, 1973.
  4. T. N. Trick, F. R. Colon, and S. P. Fan, "Computation of capacitor voltage and inductor current sensitivities with respect to initial conditions for the steady-state analysis of nonlinear periodic circuits," IEEE Trans. Circuits and Systems, vol. 22, pp. 391-396, 1975.
  5. M. B. Patil, M. C. Chandorkar, B. G. Fernandes, and K. Chatterjee, "Computation of steady-state response in power electronic circuits," IETE J. Research, vol. 48, no. 6, pp. 471-477, Nov. 2002.