volume | PIER Journals

Abstract

This paper presents an analytical method for the optimal estimation of time constants of synchronous machine from Standstill Frequency Response Testing (SSFR). We show that the analytical method is advantageous over the conventional one since the latter is based on curve fitting representing the variation of the operational inductance as a function of the frequency and provides in accurate and non-unique solutions. In fact, the analytical method applies the standard theory of linear systems to locate the values of poles and zeros in the frequency response and determines the optimal order of the equivalent circuit that can model the machine accurately. The proposed method is simple, practicable and effective. However, it needs an optimisation process based on parameter differentiation, to improve the values of time constants. Based on the measured data, realistic tests are given to show the advantages of the method.

1. Aghamohammadi, M. R., A. Beik Khormizi, and M. Rezaee, "Effect of generator parameters inaccuracy on transient stability performance," Power and Energy Engineering Conference (APPEEC), 1-5, Mar. 2010.

2. Ghomi, M. and Y. N. Sarem, "Review of synchronous generator parameters estimation and model identification," 2007 42nd International Universities Power Engineering Conference, 228-235, 2007.
doi:10.1109/UPEC.2007.4468951

3. Kamwa, I., M. Pilote, H. Carle, P. Viarouge, B. Mpanda-Mabwe, and M. Crappe, "Computer software to automate the graphical analysis of sudden-short-circuit oscillograms of large synchronous machines," IEEE Trans. Energy Convers., Vol. 10, No. 3, 399-406, Sep. 1995.
doi:10.1109/60.464860

4. Kamwa, I., P. Viarouge, and R. Mahfoudi, "Phenomenological models of large synchronous machines from short-circuit tests during commissioning --- A classical/modern approach," IEEE Trans. Energy Convers., Vol. 9, No. 1, 85-97, Mar. 1994.
doi:10.1109/60.282480

5. "IEEE guide for test procedures for synchronous machines part iacceptance and performance testing Part II. Test procedures and parameter determination for dynamic analysis," IEEE Std 115-2009 Revis. IEEE Std 115-1995, 1-219, May 2010.

6. Sellschopp, F. S. and M. A. Arjona, "DC decay test for estimating d-axis synchronous machine parameters: A two-transfer-function approach," IEE Proc. --- Electr. Power Appl., Vol. 153, No. 1, 123-128, Jan. 2006.
doi:10.1049/ip-epa:20050248

7. Sellschopp, F. S. and M. A. Arjona, "Semi-analytical method for determining d-axis synchronous generator parameters using the dc step voltage test," IEE Proc. --- Electr. Power Appl., Vol. 1, No. 3, 348-354, May 2007.
doi:10.1049/iet-epa:20060376

8. Maurer, F., T. Xuan, and J. Simond, "Tow full parameter identification methods for synchronous machine applying DC-decays tests for a rotor in arbitrary position," IEEE Transactions on Industry Applications, Vol. 53, No. 4, 3505-3518, Jul.-Aug. 2017.
doi:10.1109/TIA.2017.2688462

9. Wamkeue, R., C. Jolette, and I. Kamwa, "Advanced modeling of a synchronous generator under line-switching and load-rejection tests for isolated grid applications," IEEE Trans. Energy Convers., Vol. 25, No. 3, 680-689, Sep. 2010.
doi:10.1109/TEC.2010.2043360

10. Hiramatsu, D., M. Kakiuchi, K. Nagakura, Y. Uemura, K. Koyanagi, K. Hirayama, S. Nagano, R. Nagura, and K. Nagasaka, "Analytical study on generator load rejection characteristic using advanced equivalent circuit," 2006 IEEE Power Engineering Society General Meeting, 18-22, Montreal, QC, Jun. 2006.

11. Melgoza, J. J. R., G. T. Heydt, A. Keyhani, B. L. Agrawal, and D. Selin, "An algebraic approach for identifying operating point dependent parameters of synchronous machines using orthogonal series expansions," IEEE Trans. Energy Convers., Vol. 16, No. 1, 92-98, Mar. 2001.
doi:10.1109/60.911410

12. Melgoza, J. J. R., G. T. Heydt, A. Keyhani, B. L. Agrawal, and D. Selin, "Synchronous machine parameter estimation using the Hartley series," IEEE Trans. Energy Convers., Vol. 16, No. 1, 49-54, Mar. 2001.

13. Rengifo, C. F., C. Giron, J. Palechor, A. Diego, and M. Bravo, "Identification of a synchronous generator parameters using recursive least squares and kalman filter," 20 Revista Ciencia en Desarrollo, Vol. 12, No. 1, 13-21, Jan.-Jun. 2021.

14. Shariati, O., A. A. M. Zin, and M. R. Aghamohammadi, "Application of neural network observer for on-line estimation of salient-pole synchronous generator's dynamic parameters using the operating data," 2011 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO), 1-9, 2011.

15. Henrique, L., D. Kornrumpf, and S. I. Nabeta, "Deterination of synchronous parameters through the SSFR test and artificial neural networks," The 9th International Conference on Power Electronics, Machines and Drives (PMD 2018), 2018.

16. Fard, R. D., M. Karrari, and O. P. Malik, "Synchronous generator model identification using Volterra series," IEEE Power Engineering Society General Meeting, Vol. 2, 1344-1349, 2004.

17. Sen, S. K. and B. Adkins, "The application of the frequency response method to electrical machines," Proc. IEE, Vol. 103, No. 4, 378-391, 1956.

18. Belqorchi, A., U. Karragac, J. Mehseredjian, and I. Kamwa, "Standstill frequency response test and validation of a large Hy-drogenerator," IEEE Transactions on Power Systems, Vol. 34, No. 3, 2261-2269, May 2019.

19. Sellschopp, F. S. and M. A. Arjona, "Determination of synchronous machine parameters using standstill frequency response tests at different excitation levels," 2007 IEEE International Electric Machines & Drives Conference, Vol. 2, 1014-1019, 2007.

20. Kutt, F., S. Racewicz, and M. Michna, "SSFR test of synchronous machine for different saturation levels using finite-element method," IECON 2014 --- 40th Annual Conference of the IEEE Industrial Electronics Society, 907-{911, 2014.

21. Radjeai, H., A. Barakat, S. Tnani, and G. Champenois, "Identification of synchronous machine by Standstill Frequency Response (SSFR) method influence of the stator resistance," 2010 XIX International Conference on Electrical Machines (ICEM), 1-5, 2010.

22. "IEEE guide for synchronous generator modeling practices and applications in power system stability analyses," IEEE Std 1110-2002 Revis. IEEE Std 1110-1991, 1-72, 2003.

23. Dandeno, P. L. and A. T. Poray, "Development of detailed turbogenerator equivalent circuits from standstill frequency response measurements," IEEE Trans. Power Appar. Syst., Vol. 100, No. 4, 1646-1655, Apr. 1981.

24. Hernandez-Anaya, O., T. Niewierowicz, E. Campero-Littlewood, and R. Escarela-Perez, "Noise impact in the determination of synchronous machine equivalent circuits using SSFR data," 2006 3rd International Conference on Electrical and Electronics Engineering, 1-4, 2006.

25. Firouzi, B. B., E. Jamshidpour, and T. Niknam, "A new method for estimation of large synchronous generator parameters by genetic algorithm," World Applied Sciences Journal, Vol. 4, No. 3, 326-331, 2008.

26. Srinivasan, G. K. and H. T. Srinivasan, "In situ parameter estimation of synchronous machines using genetic algorithm method," Advances in Electrical and Electronic Engineering, Vol. 14, No. 3, 254-266, 2016.

27. Bendaoud, E., H. Radjeai, and O. Boutalbi, "Parameters identification of synchronous machine based on particle swarm optimization," The International Conference on Energy and Green Computing (ICEGC'2021), Vol. 336, 00052, 2022.

28. Bendaoud, E., H. Radjeai, and O. Boutalbi, "Identification of nonlinear synchronous generator parameters using stochastic fractal search algorithm," Journal of Control, Automation and Electrical Systems, Vol. 32, 1639-1651, 2021.

29. Krause, P. C., "Operational impedances and time constants of synchronous machines," Analysis of Electric Machinery, 271-297, McGraw-Hill, 1986.

30. Electric Power Research Institute "Compendium of the EPRI Workshop on determination of synchronous machine stability study constants,", by N. E. I Parsons, Aug. 1980.

31. Niewierowicz, T., R. Escarela-Perez, and E. Campero-Littlewood, "Hybrid genetic algorithm for the identification of high-order synchronous machine two-axis equivalent circuits," Computers and Electrical Engineering, Vol. 29, 5055-22, 2003.

32. Kano, T., H. Nakayama, T. Ara, and T. Matsumura, "A calculation method of equivalent circuits constants with mutual leakage reactance on synchronous machine with damper winding," IEEJ 2007, Vol. 127-D, No. 7, 761-766, 2007.

33. Pao-la-or, P., T. Kulworawanichpong, and A. Oonsivilai, "Frequency domain parameter estimation of a synchronous generator using bi-objective genetic algorithms," Proceeding of the 7th WSEAS International Conference on Simulation, Modeling and Optimisation, 429-433, Beijing, China, Sep. 200.

34. Walton, A., "A systematic method for the determination of the parameters of synchronous machines from the results of frequency response tests," IEEE Trans. Energy Convers., Vol. 15, No. 2, 218-223, Jun. 2000.

Dr. Farid Leguebedj

Dr. Djamel Boukhetala

Dr. Mohamed Tadjine