A Piecewise Harmonic Balance Technique for Determination of Periodic Response of Nonlinear Systems

IEEE Transactions on Circuits and Systems

Volumn 23, Issue 2, 1976, Pages 85-91

  Nakhla, Michael S ^a   Vlach, Jiri ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - HARMONIC ANALYSIS;

NONLINEAR NETWORKS;

ELECTRIC NETWORKS;

EID: 0016919344     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1976.1084181     Document Type: Article

References (11)

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2. J. C. Lindenlaub, “An approach for finding the sinusoidal steady state response of nonlinear systems,” in Proc. 7th Ann. Allerton Conf. Circuit and System Theory, Univ. Illinois, Chicago, 1969.
3. T. J. Aprille and T. N. Trick, “Steady-state analysis of nonlinear circuits with periodic inputs,” Proc. IEEE, vol. 60, pp. 108-114, Jan. 1972.
4. T. J. Aprille and T. N. Trick, “A computer algorithm to determine the steady-stateresponse of nonlinear oscillators,” IEEE Trans. Circuit Theory, vol. CT-19, pp. 354-360, July 1972.
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6. S. Director, A. Brodensen, and D. Wayne, “A method for quick determination of the periodic steady-state in nonlinear networks,” in Proc. 9th Ann. Allerton Conf. Circuit and System Theory, Univ. Illinois, Chicago, Oct. 1971, pp. 131-139.
7. M. S. Nakhla and F. H. Branin, Jr., “Determining the periodic response of nonlinear systems by a gradient method,” Proc. 12th Ann. Allerton Conf. Circuit and System Theory, Univ. Illinois, Chicago, 1974, pp. 703-704.
8. S. M. Roberts and J. S. Shipman, Two-Point Boundary ValueProblems. New York: Elsevier, 1972.
9. M. Nakhla, K. Singhal, and J. Vlach, “An optimal pivoting orderfor the solution of sparse systems of equations,” IEEE Trans. Circuits Syst., vol. CAS-21, pp. 222-225, Mar. 1974.
10. R. Fletcher, “A new approach to the variable metric algorithm,” Comput. J., vol. 13, pp. 317-322, 1970.
11. J. W. Cooley, P. A. W. Lewis, and P. D. Welch, “The fast Fouriertransform and its applications,” IEEE Trans. Educ, vol. 12, pp. 27-34, Mar. 1969.