Rapid calculation of the periodic steady state for electronically switched, time varying power system loads

IEEE Transactions on Power Delivery

Volumn 11, Issue 4, 1996, Pages 1860-1866

  Heydt, G T ^a   Jun, J ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b Purdue University   (United States)

Author keywords

Floquet theory; Harmonics; Periodic steady state; Power electronic loads; Power quality; Time varying system

Indexed keywords

ELECTRIC LOADS; ELECTRIC NETWORK PARAMETERS; ELECTRIC SWITCHES; ENERGY CONSERVATION; FOURIER TRANSFORMS; FREQUENCY MODULATION; HARMONIC ANALYSIS; MATHEMATICAL MODELS; THYRISTORS; TIME VARYING SYSTEMS;

ELECTRIC POWER QUALITY; GAIN SHIFT FORMULA (GSF);

ELECTRIC POWER DISTRIBUTION;

EID: 0030258910     PISSN: 08858977     EISSN: None     Source Type: Journal    
DOI: 10.1109/61.544268     Document Type: Article

References (17)

1. H-D. Chiang, C-W. Liu, P. Varaiya, F. Wu, M. Lauby, "Chaos in a simple power system," IEEE Trans. on Power Systems, v. 8, No. 4, Nov. 1993, pp. 1407-1417.
2. J. Arrillaga, "Power system harmonics," Wiley, New York, 1985.
3. D. Kish, G. Heydt, "A new approach to power distribution system transient analysis using Walsh functions," 1992 IEEE Systems, Man and Cybernetics Conference, Chicago, IL, October, 1992.
4. D. Kish, G. Heydt, "A generalization of the concept of impedance and a novel Walsh domain immittance," IEEE Trans. on Power Delivery, v. 9, No. 2, April 1994, pp. 970-976.
5. C. A. Desoer, "Steady state transmission through a network containing a single time varying element," IRE Trans. on Circuit Theory, September 1959, pp. 214-252.
6. H. Beides, A. Meliopoulos, F. Zhang, "Modelling and analysis of power systems under periodic steady state conditions," Proc. Midwest Symposium on Circuits and Systems, Washington, August 1992.
7. P. M. Lin, R. A. DeCarlo, "Exact transient and steady state analysis of linear systems with periodic inputs," Proc. IEEE 1993 International Symposium on Circuits and Systems, Chicago, IL, May 1993.
8. J. Jun, G. Heydt, "The periodic steady state in power distribution engineering," 1993 North American Power Symposium, Washington, DC, October 1993.
9. J. Arrillaga, C. Callaghan, "Double-iterative algorithm for the analysis of power and harmonic flows at AC/DC converter terminals," Proc. IEE, Part C, v. 136, No. 6, November 1989, pp 319-324.
10. D. Xia, G.T. Heydt, "Harmonic power flow studies - Part I - Formulation and solution," IEEE Trans. on Power Apparatus and Systems, v. PAS-101, No. 6, June 1982, pp. 1257-1265.
11. J. A. Richards, "Analysis of periodically time-varying systems," Springer-Verlag, New York, 1983.
12. C. T. Chen, "Introduction to linear system theory," Holt, Rinehart, Winston, New York, 1970.
13. D. Mouche, "Floquet theory and economic dynamics," Wageningen University, Wageningen, Netherlands, 1993.
14. C. McGillem, G. Cooper, "Continuous and discrete signal and system analysis," 2nd ed., Holt, Rinehart and Winston, New York, 1984.
15. J. Jun, "Calculation of the periodic steady state for power system loads," Ph.D. Thesis, Purdue University, West Lafayette, IN, December 1994.
16. J. Parkhurst, "Determining the steady-state output of nonlinear periodic circuits," Ph.D. Thesis, Purdue University, West Lafayette, IN, May 1994.
17. H. D'Angelo, "Linear time-varying systems: analysis and synthesis," Allyn and Bacon, Boston, 1970.