Abstract
Many of the activities associated with the systems planning and operation require forecasts of future events. For instance, thermal models of distribution transformers with core immersed in oil are of utmost importance for power systems operation and safety. Its hot spot temperature determines the degradation speed of the insulation material and parts. High temperatures cause loss of mechanical stiffness, generating failures. Insulation degradation determines the lifetime limits of power transformers. Thermal models are needed to generate reliable data for lifetime forecasting methodologies. One of the greatest difficulties in thermal modeling is the non stationary nature of the transformers due to aging, parts replacement, and operational overloads. In this paper we use an evolving fuzzy model to build adaptive thermal models of distribution transformers. The model is an evolving fuzzy linear regression tree. The tree grows adaptively by replacing leaves with subtrees whenever they improve the model quality. The performance of the evolving regression is evaluated using actual data from an experimental transformer. The results suggest that the evolving fuzzy tree approach outperforms current state of the art models.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
IEEE guide for loading mineral-oil-immersed transformers. IEEE Std. C57.91-1995 p. i (1996)
Alahakoon, D., Halgamuge, S., Srinivasan, B.: Dynamic self-organizing maps with controlled growth for knowledge discovery. IEEE Transactions on Neural Networks 11(3), 601–614 (2000)
Angelov, P.: Evolving takagi-sugeno fuzzy systems from streaming data, eTS+. In: Angelov, P., Filev, D., Kasabov, N. (eds.) Evolving Intelligent Systems: Methodology and Applications. Wiley-Interscience/IEEE Press (2010)
Angelov, P., Filev, D.: An approach to Online identification of Takagi-Suigeno fuzzy models. IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 34(1), 484–498 (2004)
Angelov, P., Filev, D., Kasabov, N.: Guest editorial evolving fuzzy systems - preface to the special section. IEEE Transactions on Fuzzy Systems 16(6), 1390–1392 (2008)
Angelov, P., Zhou, X.: Evolving fuzzy systems from data streams in real-time. In: 2006 International Symposium on Evolving Fuzzy Systems, pp. 29–35 (2006)
Angelov, P.P.: Evolving rule-based models: a tool for design of flexible adaptive systems. Springer, London (2002)
Breiman, L., Friedman, J., Olshen, R., Stone, C.: Classification and regression trees, San Diego, California. Wadsworth Mathematics Series (1984)
Chiu, S.L.: Fuzzy model identification based on cluster estimation. Journal of Intelligent and Fuzzy Systems 2(3) (1994)
Diebold, F.X., Mariano, R.S.: Comparing predictive accuracy. Journal of Business and Economics Statistics 13, 253–263 (1995)
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. Wiley-Interscience (2000)
Fritzke, B.: Growing cell structures: a self-organizing network for unsupervised and supervised learning. Neural Networks 7, 1441–1460 (1994)
Galdi, V., Ippolito, L., Piccolo, A., Vaccaro, A.: Neural diagnostic system for transformer thermal overload protection. IEE Proceedings Electric Power Applications 147(5), 415–421 (2000)
Gray, R.: Vector quantization. IEEE ASSP Magazine 1(2), 4–29 (1984)
Hell, M., Costa, P., Gomide, F.: Participatory learning in power transformers thermal modeling. IEEE Transactions on Power Delivery 23(4), 2058–2067 (2008)
Hell, M., Costa Jr., P., Gomide, F.: Recurrent neurofuzzy network in thermal modeling of power transformers. IEEE Transactions on Power Delivery 22(2), 904–910 (2007)
Hisada, M., Ozawa, S., Zhang, K., Kasabov, N.: Incremental linear discriminant analysis for evolving feature spaces in multitask pattern recognition problems. Evolving Systems 1, 17–27 (2010)
Jang, J.: ANFIS - Adaptive-Network-Based Fuzzy Inference System. IEEE Transactions on Systems Man and Cybernetics 23(3) (1993)
Janikow, C.: Fuzzy decision trees: Issues and methods. IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 28(1), 1–14 (1998)
Jardini, J.A., Brittes, J.L.P., Magrini, L.C., Bini, M.A., Yasuoka, J.: Power transformer temperature evaluation for overloading conditions. IEEE Transactions on Power Delivery 20(1), 179–184 (2005)
Kasabov, N., Filev, D.: Evolving intelligent systems: Methods, learning, & applications. In: 2006 International Symposium on Evolving Fuzzy Systems, pp. 8–18 (2006)
Kasabov, N., Song, Q.: DENFIS: Dynamic evolving neural-fuzzy inference system and its application for time-series prediction. IEEE Transactions on Fuzzy Systems 10(2), 144–154 (2002)
Leite, D., Costa Jr., P., Gomide, F.: Granular Approach for Evolving System Modeling. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. LNCS (LNAI), vol. 6178, pp. 340–349. Springer, Heidelberg (2010)
Lemos, A., Gomide, F., Caminhas, W.: Multivariable gaussian evolving fuzzy modeling system. IEEE Transactions on Fuzzy Systems 19(1), 91–104 (2011)
Lemos, A., Gomide, F., Caminhas, W.: Fuzzy evolving linear regression trees. Evolving Systems 2(1), 1–14 (2011)
Leng, G., McGinnity, T., Prasad, G.: An approach for on-line extraction of fuzzy rules using a self-organising fuzzy neural network. Fuzzy Sets and Systems 150(2), 211–243 (2005)
Lima, E., Hell, M., Ballini, R., Gomide, F.: Evolving fuzzy modeling using participatory learning. In: Angelov, P., Filev, D., Kasabov, N. (eds.) Evolving Intelligent Systems: Methodology and Applications. Wiley-Interscience/IEEE Press (2009)
Ljung, L.: System Identification. Prentice-Hall (1999)
Lughofer, E.D.: Extensions of Vector Quantization for Incremental Clustering. Pattern Recognition 41(3), 995–1011 (2008)
Lughofer, E.D.: FLEXFIS: A Robust Incremental Learning Approach for Evolving Takagi-Sugeno Fuzzy Models. IEEE Transactions on Fuzzy Systems 16(6), 1393–1410 (2008)
Miller, R.: Simultaneous statistical inference. McGraw-Hill, Inc., New York (1966)
de Oliveira, J.V., Pedrycz, W.: Advances in Fuzzy Clustering and its Applications. John Wiley & Sons, Inc., New York (2007)
Pedrycz, W., Gomide, F.: Fuzzy Systems Engineering: Toward Human-Centric Computing. Wiley Interscience, NJ (2007)
Potts, D.: Incremental learning of linear model trees. In: ICML 2004: Proceedings of the Twenty-First International Conference on Machine Learning, p. 84. ACM, New York (2004)
Pylvanainen, J.K., Nousiainen, K., Verho, P.: Studies to utilize loading guides and ann for oil-immersed distribution transformer condition monitoring. IEEE Transactions on Power Delivery 22(1), 201–207 (2007)
Quinlan, R.: Learning with continuous classes. In: 5th Australian Joint Conference on Artificial Intelligence, pp. 236–243 (1992)
Williamson, J.R.: Gaussian ARTMAP: A neural network for past incremental learning of noisy multidimensional maps. Neural Networks 9(5), 881–897 (1996)
Yager, R.: A Model of Participatory Learning. IEEE Transactions on Systems Man and Cybernetics 20(5), 1229–1234 (1990)
Young, P.: Recursive estimation and time-series analysis: an introduction. Springer-Verlag New York, Inc., New York (1984)
Yuan, Y., Shaw, M.: Induction of fuzzy decision trees. Fuzzy Sets and Systems 69(2), 125–139 (1995)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lemos, A., Ballini, R., Caminhas, W., Gomide, F. (2013). System Modeling and Forecasting with Evolving Fuzzy Algorithms. In: Yager, R., Abbasov, A., Reformat, M., Shahbazova, S. (eds) Soft Computing: State of the Art Theory and Novel Applications. Studies in Fuzziness and Soft Computing, vol 291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34922-5_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-34922-5_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34921-8
Online ISBN: 978-3-642-34922-5
eBook Packages: EngineeringEngineering (R0)