Applying artificial optimization methods for transformer model reduction of lumped parameter models

Electric Power Systems Research

Volumn 84, Issue 1, 2012, Pages 100-108

  Rahimpour, Ebrahim ^a   Rashtchi, Vahid ^b   Shahrouzi, Hamid ^b  

^a ABB AG   (Germany)

^b UNIVERSITY OF ZANJAN   (Iran)

Author keywords

Artificial methods; Model reduction; Power transformer; System study; Transient analysis

Indexed keywords

ANALYTICAL FORMULAS; ARTIFICIAL METHODS; BACTERIAL FORAGING ALGORITHM; ELECTRICAL STRESS; LUMPED PARAMETER; LUMPED PARAMETER MODELS; MODEL ELEMENTS; MODEL REDUCTION; OPTIMIZATION METHOD; ORIGINAL MODEL; POWER SYSTEM STUDIES; REDUCED LOSS; SYSTEM STUDY; TEST OBJECT; TRANSFORMER MODELS;

C (PROGRAMMING LANGUAGE); EVOLUTIONARY ALGORITHMS; OPTIMIZATION; POWER QUALITY; POWER TRANSMISSION; TRANSFORMER WINDINGS; TRANSIENT ANALYSIS;

POWER TRANSFORMERS;

EID: 80755184738     PISSN: 03787796     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.epsr.2011.10.006     Document Type: Article

References (56)

1. U.R.R. Massaro, and R. Antunes Electrical transient interaction between transformers and power system - Brazilian experience International Conference on Power System Transients (IPST) Kyoto, Japan 2009
2. R.C. Degeneff The effect of the transformer Model on the accuracy of the computed transient voltage and frequency response Advanced Research Workshop on Transformers Santiago De Compostela, Spain 2010 186 195
3. G.B. Gharehpetian, H. Mohseni, and K. Möller Hybrid modeling of inhomogeneous transformer windings for very fast transient overvoltage studies IEEE Trans. Power Deliv. 13 1 1998 157 163 (Pubitemid 128741463)
4. E. Rahimpour, J. Christian, K. Feser, and H. Mohseni Transfer function method to diagnose axial displacement and radial deformation of transformer windings IEEE Trans. Power Deliv. 18 2 2003 493 505
5. E. Bjerkan, High frequency modelling of power transformers, stresses and diagnostics, PhD Thesis, Norwegian University of Science and Technology, Department Electrical Engineering, 2005.
6. M. Nothaft, Untersuchung der Resonanzvorgänge in Wicklungen von Hochspannungsleistungstransformatoren mittels eines detaillierten Modells, PhD Thesis, TH Karlsruhe, Department Electrical Engineering, 1995.
7. N. Abeywickrama, Y.V. Serdyuk, and S.M. Gubanski High-frequency modeling of power transformers for use in frequency response analysis (FRA) IEEE Trans. Power Deliv. 23 4 2008 2042 2049
8. Z. Wang, J. Li, and D.M. Sofian Interpretation of transformer FRA responses. Part I. Influence of winding structure IEEE Trans. Power Deliv. 24 2 2009 703 710
9. J. Christian, and K. Feser Procedures for detecting winding displacements in power transformers by the transfer function method IEEE Trans. Power Deliv. 19 1 2004 214 220
10. R. Wimmer, S. Tenbohlen, K. Feser, A. Kraetge, M. Krüger, and J. Christian Development of algorithms to assess the FRA 15th International Symposium on High Voltage Engineering Ljubljiana, Slovenia 2007 T7-523
11. D.M. Sofian, Z. Wang, and J. Li Interpretation of transformer FRA responses. Part II. Influence of transformer structure IEEE Trans. Power Deliv. 25 4 2010 2582 2589
12. E. Rahimpour, and M. Bigdeli Simplified transient model of transformer based on geometrical dimensions used in power network analysis and fault detection studies International Conference on Power Engineering, Energy and Electrical Drives Lisbon, Portugal 2009 375 380
13. B. Gustavsen, and A. Semlyen Rational approximation of frequency domain responses by vector fitting IEEE Trans. Power Deliv. 14 3 1999 1052 1061
14. Z. Ping, N. Xinpeng, W. Youhua, and Z. Yu Order-reduced method of voltage transfer function of transformer winding based on vector fitting Proceedings of the 27th Chinese Control Conference Kunming, China 2008 605 609
15. P.T.M. Vaessen Transformer model for high frequencies IEEE Trans. Power Deliv. 3 4 1988 1761 1768
16. C.C. Chu, and H.J. Lee Applications of multi-point arnoldi algorithms to linear lumped transformer model simplifications IEEE Power Engineering Society Summer Meeting Seattle, WA 2000 2406 2411
17. F. De Leon, and A. Semlyen Reduced order model for transformer transients IEEE Trans. Power Deliv. 7 1 1992 361 369
18. R.C. Degeneff, M.R. Gutierrez, and M. Vakilian Nonlinear lumped parameter transformer model reduction technique IEEE Trans. Power Deliv. 10 2 1995 862 868
19. A.C. Antoulas, D.C. Sorensen, and S. Gugercin A survey of model reduction methods for large-scale systems Contemp. Math. 280 2001 193 219
20. B.C. Moore Principle component analysis in linear systems: controllability, observability and model reduction IEEE Trans. Autom. Control 26 1 1981 17 32
21. ∞-error bounds Int. J. Control 39 6 1984 1115 1193 (Pubitemid 14606446)
22. P.V. Kokotovic, R.E. O'Malley Jr., and P. Sannuti Singular perturbations and order reduction in control theory - an overview Automatica 12 2 1976 123 132
23. A.C. Antoulas, E.J. Grimme, and D.C. Sorensen On behaviors, rational interpolating, and the lanczos algorithm Proceedings of the 13th IFAC Triennial World Congress 1996 Pergamon Press San Francisco
24. G. Liang, H. Sun, X. Zhang, and X. Cui Study on parameter calculation and order reduction of transformer model International Conference on Power System Technology Singapore 2004 486 490 (Pubitemid 40821407)
25. R.C. Degeneff, M.R. Gutierrez, and P.J. McKenny A method for constructing reduced order transformer models for system studies from detailed lumped parameter models Transmission and Distribution Conference Dallas, TX 1991 532 538
26. R.C. Degeneff, M.R. Gutierrez, and P.J. McKenny A method for constructing reduced models for system studies from detailed lumped parameter models IEEE Trans. Power Deliv. 7 2 1992 649 655
27. R.J. Galarza, J.H. Chow, and R.C. Degeneff Transformer model reduction using time and frequency domain sensitivity techniques IEEE Trans. Power Deliv. 10 2 1995 1052 1059
28. M.R. Gutierrez, R.C. Degeneff, P.J. McKenny, and J.M. Schneider Linear lumped parameter model reduction technique IEEE Trans. Power Deliv. 10 2 1995 853 860
29. G. Kron Tensor Analysis of Networks 1939 John Wiley and Sons New York
30. D.J. Reid Genetic algorithms in constrained optimization Math. Comput. Model. 23 5 1996 87 111 (Pubitemid 126663308)
31. J.V. Francisco, and P. Bourgine The royal road for genetic algorithms: fitness landscapes and ga performance Toward a Practice of Autonomous Systems: Proceedings of the first European conference on Artificial Life MIT Press 1992
32. N. Amjadi, and H. Nasiri Rad Solution of nonconvex and nonsmooth economic dispatch by a new adaptive real coded genetic algorithm Expert Syst. Appl. 37 2010 5239 5245
33. A. Raie, and V. Rashtchi Using a genetic algorithm for detection and magnitude determination of turn faults in an induction motor Electr. Eng. 84 5 2002 275 279
34. G.A. Vignaux, and Z. Michalewicz A genetic algorithm for the linear transportation problem IEEE Trans. Syst. Man Cybern. 21 2 1991 445 452 (Pubitemid 21660904)
35. G. Sywerda Uniform crossover in genetic algorithms Proceedings of the 3rd International Conference on Genetic Algorithms CA 1989 2 9
36. V. Rashtchi, E. Rahimpour, and E.M. Rezapour Using genetic algorithm for parameter identification of transformer R-L-C-M model Electr. Eng. 88 5 2006 417 422 (Pubitemid 43814326)
37. J. Kennedy, and R. Eberhart Particle swarm optimization IEEE International Conference on Neural Networks Perth, Australia 1995 1942 1948
38. A. Ratnaweera, S.K. Halgamuge, and H.C. Watson Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients IEEE Trans. Evol. Comput. 8 3 2004 240 255
39. J. Kennedy, and R. Mendes Population structure and particle swarm performance Proceedings of the IEEE Congress on Evolutionary Computation 2002 1671 1676
40. K.M. Passino Biomimicry of bacterial foraging for distributed optimization and control IEEE Control Syst. Mag. 22 3 2002 52 67 (Pubitemid 34711477)
41. D.H. Kim, A. Abraham, and J.H. Cho A hybrid genetic algorithm and bacterial foraging for global optimization Inf. Sci. 177 18 2007 3918 3937 (Pubitemid 46961984)
42. V. Gazi, and K.M. Passino Stability analysis of social foraging swarms IEEE Trans. Syst. Man Cybern. Part B 34 1 2004 539 557
43. M.S. Li, T.Y. Ji, W.J. Tanga, Q.H. Wua, and J.R. Saunders Bacterial foraging algorithm with varying population Biosystems 100 3 2010 185 197
44. P. Picher, J. Lapworth, T. Noonan, J. Christian et al., Mechanical condition assessment of transformer windings using frequency response analysis (FRA), Cigre Work. Group A2.26, Report 342, 2008.
45. F. De Leon, and A. Semlyen Complete transformer model for electromagnetic transients IEEE Trans. Power Deliv. 9 1 1994 231 239
46. M. Popov, L. Van der Sluis, R.P.P. Smeets, J. Lopez-Roldan, and V.V. Terzija Modelling, simulation and measurement of fast transients in transformer windings with consideration of frequency-dependent losses IET Electr. Power Appl. 1 1 2007 29 35 (Pubitemid 46104257)
47. Y. Yu, W. Zanji, and S. Chong A circuit model in a wide frequency range for power transformer and analysis of its characteristics Power and Energy Engineering Conference Wuhan, China 2009
48. E. Rahimpour, and S. Tenbohlen Experimental and theoretical investigation of disc space variation in real high-voltage windings using transfer function method IET Electr. Power Appl. 4 6 2010 451 461
49. A. Miki, T. Hosoya, and K. Okuyama A calculation method for impulse voltage distribution and transferred voltage in transformer windings IEEE Power Appar. Syst. 97 3 1978 930 939 (Pubitemid 8609089)
50. R. Malewski, M.A. Franchek, and J.H. McWhirter Experimental validation of a computer model simulating an impulse voltage distribution in HV transformer windings IEEE Trans. Power Deliv. 9 4 1994 1789 1798
51. I.C. Trelea The particle swarm optimization algorithm: convergence analysis and parameter selection Inf. Proc. Lett. 85 6 2003 317 325
52. M. Clerc, and J. Kennedy The particle swarm-explosion, stability and convergence in a multidimensional complex space IEEE Trans. Evol. Comput. 6 1 2002 58 73 (Pubitemid 34404564)
53. R.C. Eberhart, and Y. Shi Comparing inertia weights and constriction factors in particle swarm optimization Proceedings Congress Evolutionary Computation San Diego, CA 2000 84 88
54. Y. Shi, and R.C. Eberhart Empirical study of particle swarm optimization IEEE International Conference on Evolutionary Computation Washington DC 1999 101 106
55. R.C. Eberhart, and Y. Shi Comparison between genetic algorithms and particle swarm optimization Lect. Notes Comput. Sci. 1447 1998 611 616
56. Y. Shao, and H. Chen A novel cooperative bacterial foraging algorithm 4th International Conference on Bio-Inspired Computing Beijing, China 2009 1 4