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Symbolic large-signal simulation of switched circuits

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Abstract

To improve the simulation efficiency of switched circuits, it is advantageous to model their switching devices as short and open circuits. The disadvantage is that such models may cause inconsistent initial conditions (IIC), and Dirac impulses may appear. Conventional simulators do not handle such situations correctly. This paper introduces a new algorithm for analyzing circuits with IIC by a mixed numerical-symbolic method. The method detects the order of the Dirac impulse and also finds the correct initial conditions after switching. It is applicable to nonlinear circuits.

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References

  1. A. Dervisoglou, State equations and initial values in active RLC networks,IEEE Trans. Circuit Theory, vol. 18, 1971, pp. 544–547.

    Google Scholar 

  2. R. J. Dirkman, The simulation of general circuits containing ideal switches,Proc. IEEE Power Electronics Specialists Conf., 1987, pp. 185–194.

  3. T. Downs, On the inversion of a matrix of rational functions,Linear Algebra and its Applications, vol. 1, no. 1, 1971, pp. 1–10.

    Google Scholar 

  4. A. Massarini and L. Foschini, Computer aided-time domain analysis of switched networks,Automatika, vol. 36, 1995, pp. 35–40.

    Google Scholar 

  5. A. Massarini and M. K. Kazimierczuk, A new representation of Dirac impulses in time-domain computer analysis of networks with ideal switches,Proc. IEEE Intl. Conf. Cas, Atlanta, 1996, pp. 565–568.

  6. R. F. Sincovec, A. M. Erisman, E. L. Yip, and M. A. Epton, Analysis of descriptor systems using numerical algorithms,IEEE Trans. Automatic Control, vol. AC-26, 1981, pp. 139–147.

    Google Scholar 

  7. G. C. Verghese, B. C. Levy, and T. Kailath, A generalized state-space for singular systems,IEEE Trans. Automatic Control, vol. AC-26, 1981, pp. 811–831.

    Google Scholar 

  8. J. Vlach, J. Wojciechowski, and A. Opal, Analysis of nonlinear networks with inconsistent initial conditions,IEEE Trans. Circ. Syst., vol. 42, no. 4, 1995, pp. 195–200.

    Google Scholar 

  9. T. G. Wilson, Life after the schematic: The impact of circuit operation on the physical realization of electronic power supplies,Proc. IEEE, vol. 76, no. 4, 1988, pp. 325–334.

    Google Scholar 

  10. J. Wojciechowski, Z. Michalski, and J. Vlach, Time domain analysis of circuits with inconsistent initial conditions,Proc. XVIth Natl. Conf. Circuit Theory and Electronic Circuits, Kolobrzeg, Poland, 1995, pp. 205–210.

  11. J. Wojciechowski, Z. Michalski, and J. Vlach, Mixed numerical-symbolic analysis of circuits with inconsistent initial conditions,Proc. ECCTD, Istanbul, 1995, pp. 651–654.

  12. J. Wojciechowski, Z. Michalski, and J. Vlach, Numerical-symbolic large-signal simulation of switched circuits,Proc. IEEE Intl. Conf. CaS, Atlanta, 1996.

  13. L. Zhu, J. Valsa, and J. Vlach, Analysis and steady state of nonlinear networks with ideal switches,IEEE Trans. Circ. Syst. 1, vol. 42, no.4, 1995, pp. 212–214.

    Google Scholar 

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Wojciechowski, J., Sawionek, B., Michalski, Z. et al. Symbolic large-signal simulation of switched circuits. Circuits Systems and Signal Process 17, 321–334 (1998). https://doi.org/10.1007/BF01202296

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