Power cables' thermal protection by interval simulation of imprecise dynamical systems

IEE Proceedings: Generation, Transmission and Distribution

Volumn 151, Issue 6, 2004, Pages 673-680

  Bontempi, G ^a   Vaccaro, A ^b   Villacci, D ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

INTERVAL DIFFERENTIAL EQUATION (IDE); ORDINARY DIFFERENTIAL EQUATION (ODE); PROBABILISTIC METHODS; THERMAL PROCESS;

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; ELECTRICITY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; PROBABILITY;

CABLES;

EID: 11244345996     PISSN: 13502360     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-gtd:20040826     Document Type: Article

References (35)

1. Armengol, J., Travé-Massuyes, L., Vehi, J., and de la Rosa. J.L.: 'A survey of interval model simulators and their properties related to fault detection', Annu, Rev, Control, 2000, 24, pp. 31-39
2. 'Study Committee 23-CIGRE: 'Dynamic loading of transmission equipment,' Electro, 2002, 202, pp. 63-73
3. Lyall, J.S., Nourbakhsh, G., and Zhao, H.C.: 'Underground power cable environment on line monitoring and analysis'. Proc. Power Engineering Society Summer Meeting, Seattle, Washington, 2000, pp. 457-462
4. Villacci, D., Bontempi, G., and Vaccaro, A.: 'A semiphysical modelling architecture for dynamic assessment of power components loading capability', IEE Proc. Gener., Transm., Distrtb., 2004, 151, (4), pp. 533-542
5. Zocholl, S.E., and Guzman, A.: "Thermal model in power system protection'. Proc. Western Protective Relay Conf. (WPRC) Spokane, WA, 25-28 October 1999, pp. 1-16
6. Chandra, H.: 'Microprocessor based thermal model approach for protection and optimum utilisation of power thyristors, transformers and drives'. Proc. IEEE Region 10 Int. Conf. on EC3-Energy, Computer, Communication and Control Systems (TENCON), New Delhi, India, 28-30 August, 1991, Vol. 1, pp. 251-255
7. Abou-El-Ela, M.S., Megahed, A.I., and Malik, O.P.: "Thermal model based digital relaying algorithm for induction motor protection'. Proc. Canadian Conf. on Electrical and Computer Engineering, Calgary, Canada, 26-29 May, 1996, Vol. 2, pp. 1016-1019
8. Anders, G.J., and El-Kady, M.A.: Transient ratings of buried power cables. Part 1: Historical perspective and mahematical model', IEEE Trans. Power Deliv., 1992, 7. (4), pp. 1724-1734
9. Buller. F.H.: Thermal transients on buried cables', Trans. Am. Inst. Electr. Eng., 1951, 70, pp. 45-52
10. IEC standard: 'Calculation of the cyclic and emergency current ratings of cables. Part 2: Cycling rating factor of cables greater than 18730 (36) kV and emergency ratings for cables of all voltages' publication 853-2, 1989.
11. Buonanno, G., Carotenuto, A., Dell'Isola, M., and Villacci, D.: "The effect of radiative and convective heat transfer on thermal transient in power cables', IEE Proc. Gener., Transm., Dintrib., 1995. 142, (4). pp. 436-444
12. Libondi, L: 'Calcolo numerico di transitori termici in cavi unipolari', Elettrotecnica. 1975, 62, (2). pp. 139-147
13. 'CIGRE-study committee B 1(21): 'Computer method for the calculation of a single-core cable to a step function thermal transient', Electro, 1983, 87. pp. 41-64
14. Morgan. V.T.: 'Thermal behaviour of electrical conductors', (Wiley, New York. 1991)
15. Hanna, M.A., Chikhani, A.Y., and Salama, M.M.A.: "Thermal analysis of power cables in a trench of multi-layered soil', IEEE Trans. Power Deliv., 1998, 13, (2), pp. 304-309
16. Wan. H., McCalley, J.D., and Vital, V.: 'Increasing thermal rating by risk analysis', IEEE Trans. Power Syst., 1999. 14, (3). pp. 815-828
17. Zhao. H.C., Lyall, J.S., and Nourbakhsh, G.: 'Probabilistic cable rating based on cable thermal environment studying'. Proc. Int. Conf. on Power System Technology., Perth. Australia, 4-7 December 2000, pp. 1071-1076
18. Indulkar. C.S.: 'Use of Monte Carlo analysis for calculating the current ratings of cables', IEEE Power Eng. Rev., 2000, 20, (8), pp. 52-53
19. Tan. L.L., Negnevitsky. M., and Piekutowski, M.: 'Expert system application for the loading capability assessment of transmission lines', IEEE Trans. Power Syst., 1995, 10, (4). pp. 1805-1812
20. Moore, R.E.: 'Interval Analysis'. (Prentice-Hall. Englewood Cliffs, 1966)
21. Zadeh, L.A.: 'Fuzzy Sets', Inf. Control, 1965, 8, pp. 338-353
22. Shafer, G.: 'A mathematical theory of evidence', (Princeton University Press, Princeton, 1976)
23. Smets. P.: 'Imperfect information: imprecision and uncertainty', in Motro. A. and Smets, P. (Eds.) 'Uncertainty management in information systems: from needs to solutions' (Kluwer, 1997), pp. 225-254
24. Moore, R.E.: 'Methods and applications of interval analysis', SIAM Studies in Applied Mathematics', (SIAM, Philadelphia, 1975)
25. Stolfi. J., and de Figueiredo, L.H.: 'Self-validated numerical methods and applications', Brazilian Mathematics Colloquium Monograph', (IMPA, Rio de Janeiro, Brazil. 1997)
26. Vinicius, M., Andrade. A., Comba, J.L.D., and Stolfi, J.: 'Affine arithmetic'. Presented at INTERVAL, St. Petersburg. Russia. 1994
27. Ippolito. L., Vaccaro, A., and Villacci, D.: The use of affine arithmetic for thermal state estimation of substation distribution transformers', COMPEL Int. J. Comput. Math. Electr. Electron. Ena., 2004, 23. (1), pp. 237-249
28. Bonarini, A., and Bontempi, G.: 'A qualitative simulation approach for fuzzy dynamical models', ACM Trans. Model. Comp. Simul., 1994. 4, (4). pp. 258-313
29. Bontempi, G.: 'Qua.Si. III: A software tool for simulation of fuzzy dynamical systems', in Proc. European Simulation Multiconf. (ESM), Ghent, Belgium, 1996, pp. 615-619
30. Bontempi. G.: 'Simulating continuous dynamical systems with uncertainty: the probability and the possibility approaches', in Nikravesh. M. and Zadeh, L.A. (Eds.) 'Fuzzy partial differential equations and relational equations, series studies in fuzziness and soft computing' (Physica-Verlag. Springer, 2003)
31. Nokes, G.: 'Optimising power transmission and distribution networks using optical fibre distributed temperature sensing systems'. Presented at IEE Seminas on Asset Management of Cable Systems. London. February 2000
32. Williams, J.A., Cooper, J.H., Rodenbaugh, T.J., Smith, G.L., and Rorabaugh, F.: 'Increasing cable rating by distributed fiber optic temperature monitoring and ampacity analysis'. Presented at IEEE/PES Transmission and distribution Conf., New Orleans, LA, 1999
33. Lambert, D., and Lambert. J.D.: 'Numerical methods for ordinary differential systems: the initial value problem', (Wiley, Chichester. UK, 1991)
34. Jaulin, L., Kieffer. M., Didrit, O. and Walter. E. (Eds.) 'Applied interval analysis' (Springer, London, 2001)
35. Huellermeier, E.: 'A fuzzy simulation method'. Presented at Int. Symp. on Soft Computing (SOCO). Reading, UK, 1996