Determining the Steady-State Output of Nonlinear Oscillatory Circuits Using Multiple Shooting

IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

Volumn 14, Issue 7, 1995, Pages 882-889

  Ogborn, Lawrence L ^b  

^a INTEL CORPORATION   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTER AIDED NETWORK ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS; VECTORS;

MULTIPLE SHOOTING ALGORITHMS; NONLINEAR OSCILLATORY CIRCUITS; SINGLE SHOOTING METHODS; STEADY STATE OUTPUT;

NONLINEAR NETWORKS;

EID: 0029344107     PISSN: 02780070     EISSN: 19374151     Source Type: Journal    
DOI: 10.1109/43.391735     Document Type: Article

References (20)

1. T. J. Aprille and T. N. Trick, “Steady state analysis of nonlinear circuits with periodic inputs,” Proc. IEEE, vol. 60, no. 1, pp. 108–114, Jan. 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. CT-19, no. 4, July 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. SC-19, pp. 354–360, July 1972.
4. F. B. Grosz and T. N. Trick, “Some modifications to Newton's method for the determination of the steady state response of nonlinear oscillatory circuits,” IEEE Trans. Computer-Aided Design, vol. CAD-1, no. 3, pp. 116–119, July 1982.
5. M. Kakizaki and T. Sugawara, “A modified newton method for the steady state analysis,” IEEE Trans. Computer Aided Design, vol. CAD-4, no. 4, pp. 662–667, Oct. 1985.
6. S. Skelboe, “Computation of the periodic steady state response of nonlinear networks by extrapolation methods,” IEEE Trans. Circuits Syst., vol. CAS-27, pp. 161–175, Mar. 1980.
7. M. S. Nakhla and F. H. Branin, “Determining the periodic response of nonlinear systems by a gradient method,” Int. J. Circuit Theory Applicat., vol. 5, no. 3, pp. 255–273, 1977.
8. J. C. Lindenlaub, “An approach for finding the sinusoidal steady-state response of nonlinear systems,” in Proc. 7th Annual Allerton Conf. Circuits Syst. Theory, 1969, pp. 323–329.
9. M. S. Nakhla and J. Vlach, “A piecewise harmonic balance technique for determination of periodic response of nonlinear systems,” IEEE Trans. Circuits Syst., vol. CAS-23, no. 2, pp. 85–91, 1976.
10. A. Ushida and L. O. Chua, “Steady-state response of nonlinear circuits: A frequency-domain relaxation method,” Int. J. Circuit Theory Applicat., vol. 17, pp. 249–269, 1989.
11. A. Ushida and L. O. Chua, “Steady-state analysis on nonlinear circuits based on hybrid methods,” IEEE Trans. Circuits Syst. I, vol. 39, no. 8, pp. 649–661, Aug. 1992.
12. U. Ascher et al., Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. Englewood Cliffs, NJ: Prentice–Hall, 1988.
13. P. Deuflhard and G. Bader, “Multiple shooting techniques revisited,” in Numerical Treatment of Inverse Problems in Differential and Integral Equations. Boston: Birkhauser, pp. 74–94, 1983.
14. J. Stoer and R. Burlisch, Introduction to Numerical Analysis. New York: Springer–Verlag, 1991.
15. H. Shichman, “Integration system of a nonlinear network analysis program,” IEEE Trans. Circuit Theory, vol. CT-17, no. 3, Aug. 1970.
16. L. N. Nagel, “SPICE2; A computer program to simulate semiconductor circuits,” ERL, Univ. of California, Berkeley, Memo. ERL-M520, May 1975.
17. K. S. Kundert et al., Steady State Methods for Simulating Analog and Microwave Circuits. Boston, MA: Kluwer, 1990.
18. P. Deuflhard, “A relaxation strategy for the modified newton method,” in Springer Lecture Notes 477. New York: Springer–Verlag, 1975, pp. 59–73.
19. P. Deuflhard, “Computation of periodic solutions of nonlinear ode's,” BIT, vol. 24 pp. 456–466, 1984.
20. J. Parkhurst, “Determining the steady-state output of nonlinear periodic circuits,” Ph.D. dissertation, Purdue Univ., West Lafayette, IN, May 1994.