Power system harmonic state estimation and observability analysis via sparsity maximization

IEEE Transactions on Power Systems

Volumn 22, Issue 1, 2007, Pages 15-23

  Liao, Huaiwei ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Harmonic pollution; Meter placement; Observability; Power system harmonics; Sparsity; Sparsity representation; State estimation; Underdetermined system; Waveform distortion; Wide area measurements

Indexed keywords

ELECTRIC POWER TRANSMISSION; ESTIMATION; NUMERICAL METHODS; OBSERVABILITY; OPTIMIZATION;

HARMONIC POLLUTION; HARMONIC STATE ESTIMATION (HSE); METER PLACEMENT; POWER SYSTEM HARMONICS; SPARSITY REPRESENTATION; UNDETERMINED SYSTEM; WAVEFORM DISTORTION; WIDE-AREA MEASUREMENT;

ELECTRIC POWER SYSTEMS;

EID: 33947305453     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2006.887957     Document Type: Article

References (25)

1. V. E. Wagner, J. C. Balda, D. C. Griffith, A. McEachern, T. M. Barnes, D. P. Hartmann, D. J. Phileggi, A. E. Emannuel, W. F. Horton, W. E. Reid, R. J. Ferraro, and W. T. Jewell, "Effects of harmonics on equipment," IEEE Trans. Power Del., vol. 8, no. 2, pp. 672-680, Apr. 1993.
2. IEEE Recommended Practice and Requirements for Harmonic Control in Electrical Power System, IEEE Std. 519-1992.
3. G. T. Heydt, "Identification of harmonic sources by a state estimation technique," IEEE Trans. Power Del., vol. 4, no. 1, pp. 569-576, Jan. 1989.
4. A. P. S. Meliopoulos, F. Zhang, and S. Zelingher, "Power system harmonic state estimation," IEEE Trans. Power Del., vol. 9, no. 3, pp. 1701-1709, Jul. 1994.
5. Z. P. Du, J. Arrillaga, and N.Watson, "Continuous harmonic state estimation of power systems," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 143, no. 4, pp. 329-336, Jul. 1996.
6. Z. P. Du, J. Arrillaga, N. R. Watson, and S. Chen, "Identification of harmonic sources of power systems using state estimation," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 146, no. 1, pp. 7-12, Jan. 1999.
7. J. E. Farach, W. M. Grady, and A. Arapostathis, "An optimal procedure for placing sensors and estimating the locations of harmonic sources in power systems," IEEE Trans. Power Del., vol. 8, no. 3, pp. 1303-1310, Jul. 1993.
8. N. R. Watson, J. Arrillaga, and Z. P. Du, "Modified symbolic observability for harmonic state estimation," Proc. Inst. Elect. Eng., Gen., Transm., Distrib., vol. 147, no. 2, pp. 105-111, Mar. 2000.
9. A. Kumar, B. Das, and J. Sharma, "Genetic algorithm-based meter placement for static estimation of harmonic sources," IEEE Trans. Power Del., vol. 20, no. 2, pp. 1088-1096, Apr. 2005.
10. C. Madtharad, S. Premrudeepreechacharn, N. R.Watson, and R. Saeng-Udom, "An optimal measurement placement method for power system harmonic state estimation," IEEE Trans. Power Del., vol. 20, no. 2, pp. 1514-1521, Apr. 2005.
11. N. Kanao, M. Yamashita, H. Yanagida, M. Mizukami, Y. Hayashi, and J. Matsuki, "Power system harmonic analysis using state-estimation method for Japanese field data," IEEE Trans. Power Del., vol. 20, no. 2, pp. 970-977, Apr. 2005.
12. R. K. Hartana and G. G. Richards, "Harmonic source monitoring and identification using neural networks," IEEE Trans. Power Syst., vol. 5, no. 4, pp. 1098-1104, Nov. 1990.
13. H. M. Beides and G. T. Heydt, "Dynamic state estimation of power system harmonics using Kalman filter methodology," IEEE Trans. Power Del., vol. 6, no. 4, pp. 1663-1670, Oct. 1991.
14. H. Ma and A. A. Girgis, "Identification and tracking of harmonic sources in a power system using a Kalman filter," IEEE Trans. Power Del., vol. 11, no. 3, pp. 1659-1665, Jul. 1996.
15. K. K. C. Yu, N. R. Watson, and J. Arrillaga, "An adaptive Kalman filter for dynamic harmonic state estimation and harmonic injection tracking," IEEE Trans. Power Del., vol. 20, no. 2, pp. 1577-1584, Apr. 2005.
16. H. Liao and D. Niebur, "Load profile estimation in electric transmission networks using independent component analysis," IEEE Trans. Power Syst., vol. 18, no. 2, pp. 707-715, May 2003.
17. D. Niebur, E. Gursoy, and H. Liao, "Independent component analysis techniques for power system load estimation - a signal-processing approach," in Applied Mathematics for Restructured Electric Power-Optimization, Control, and Computational Intelligence, J. C. Chow, F. F. Wu, and J. A. Momoh, Eds. New York: Springer-Verlag, 2004.
18. H. Liao, "Power system harmonic state estimation via sparsity maximization," in Proc IEEE/Power Eng. Soc. General Meeting, Montréal, QC, Canada, Jun. 2006.
19. R. Abu-Hashim, R. Burch, G. Chang, M. Grady, E. Gunther, M. Halpin, C. Hatziadoniu, Y. Liu, M. Marz, T. Ortmeyer, V. Rajagopalan, S. Ranade, P. Ribeiro, T. Sims, and W. Xu, "Test systems for harmonics modeling and simulation," IEEE Trans. Power Del., vol. 14, no. 2, pp. 579-587, Apr. 1999.
20. D. L. Donoho and M. Elad, "Optimally sparse representation in general (nonorthogonal) dictionaries via L minimization," Proc. Nat. Acad. Soc., vol. 100, pp. 2197-2202, 2003.
21. A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis. New York: Wiley, 2001.
22. J. Nocedal and S. J. Wright, Numerical Optimization. New York: Springer, 1999.
23. J. Arrillaga, M. H. J. Bollen, and N. R. Watson, "Power quality following deregulation," Proc. IEEE, vol. 88, no. 2, pp. 246-261, Feb. 2000.
24. K. K. C. Yu, N. R. Watson, and J. Arrillaga, "Error analysis in static harmonic state estimation: A statistical approach," IEEE Trans. Power Del., vol. 20, no. 2, pp. 1045-1050, Apr. 2005.
25. W.-M. Lin, C.-H. Lin, K.-P. Tu, and C.-H. Wu, "Multiple harmonic source detection and equipment identification with cascade correlation network," IEEE Trans. Power Del., vol. 20, no. 3, pp. 2166-2173, Jul. 2005.