The use of affine arithmetic for thermal state estimation of substation distribution transformers

LucioIppolito1, AlfredoVaccaro2, DomenicoVillacci2
1Department of Electrical Engineering, University of Salerno, Salerno, Italy
2Department of Engineering, University of Sannio, Benevento, Italy

Tóm tắt

Thermal protection of mineral‐oil‐filled substation distribution transformers is of critical importance in power systems. The failure of such a transformer is a matter of significant concern for electrical utilities, not only for the consequent severe economic losses, but also because the utility response to a customer during outage condition is one of the major factors in determining the overall customer attitude towards the utility. Therefore, it is essential to estimate the thermal state of transformers during load cycling and, in presence of overload conditions, to evaluate the need to reduce the load current or to install another transformer bay. A method of solving the transformer's thermal model, considering explicitly the source of uncertainty affecting its parameters, is required. In this paper, such an activity is developed by an interval‐based approach, which provides the calculation of the inner and outer solution in the hot‐spot temperature or top‐oil temperature estimation process, keeping track of correlation between uncertain quantities.

Từ khóa


Tài liệu tham khảo

Comba, J.L.D., Stolfi, J., Vinícius, M. and Andrade, A. (1994), “Affine arithmetic”, Proc. of Interval'94, St Petersburg.

de Figueiredo, L.H. and Stolfi, J. (1997), “Self‐validated numerical methods and applications”, Proc. of Brazilian Mathematics Colloquium Monograph, IMPA, Rio de Janeiro.

IEEE Standard C57.91 (1995), IEEE Guide for Loading Mineral – Oil‐Immersed Transformers.

Ippolito, L., Piccolo, A., Galdi, V. and Vaccaro, A. (2000), “A neural diagnostic system for transformer thermal overload protection”, IEE Proceeding Electric Power Application, Vol. 147 No. 5, p. 415.

Ippolito, L., Piccolo, A., Galdi, V. and Vaccaro, A. (2001), “Application of local learning techniques to power transformer thermal overload protection”, IEE Proceeding Electric Power Application, Vol. 148 No. 2, p. 163.

Ippolito, L., Piccolo, A., Galdi, V. and Vaccaro, A. (2002), “Parameters identification of power transformers thermal model via genetic algorithms”, Elsevier Electric Power System Research, Vol. 60 No. 2, p. 107.

Moore, B.R. (1975), Methods and Applications of Interval Analysis, in SIAM Studies in Applied Mathematics, SIAM, Philadelphia.

Neumaier, A. (1990), Interval Methods for Systems of Equations, University Press, Cambridge.

Piccolo, A., Ippolito, L., Galdi, V. and Vaccaro, A. (2001), “Genetic algorithm based parameters identification for power transformer thermal overload protection”, Proc. of 2001 5th International Conference on Artificial Neural Networks and Genetic Algorithm, Prague, p. 308.

Villacci, D., Piccolo, A., Daponte, P. and Grimaldi, D. (1996), “A neural diagnostic system for the monitoring of transformer heating”, Elsevier Measurement, Vol. 18 No. 1, p. 35.

Working Group K3 (1999), “Adaptive transformer thermal overload protection”, Report.