Publication Cover
Structure and Infrastructure Engineering
Maintenance, Management, Life-Cycle Design and Performance
Volume 13, 2017 - Issue 12
515
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

A probabilistic framework based on statistical learning theory for structural reliability analysis of transmission line systems

, , &
Pages 1538-1552 | Received 15 Sep 2016, Accepted 26 Dec 2016, Published online: 13 Mar 2017

References

  • ASCE. (2010). Guidelines for electrical transmission line structural loading. Manual 74. Structural Division. New York, NY: Author.
  • ASCE10-97. (2003). Design of lattice steel transmission structures. Reston, VA: Author.
  • Baenziger, M.A., James, W.D., Wouters, B., & Li, L. (1994). Dynamic loads on transmission line structures due to galloping conductors. IEEE Transactions on Power Delivery, 9, 40–49.10.1109/61.277678
  • Bengio, Y., & Grandvalet, Y. (2004). No unbiased estimator of the variance of K-fold cross-validation. Journal of Machine Learning Research, 5, 1089–1105.
  • Best, A.C. (1950). The size distribution of raindrops. Quarterly Journal of the Royal Meteorological Society, 76, 16–36.10.1002/(ISSN)1477-870X
  • Bucher, C.G., & Bourgund, U.A. (1990). A fast and efficient response surface approach for structural reliability problems. Structural Safety, 7, 57–66.10.1016/0167-4730(90)90012-E
  • CAN, CSA-C22.3. (2006). Design criteria of overhead transmission line. Mississauga, Ontario: Canadian Standards Association.
  • CEI, IEC 60826. (2003). Design criteria of overhead transmission line. Geneva, Switzerland: International Electrotechnical Commision.
  • Cherkassky, V., & Ma, Y. (2003). Comparison of model selection for regression. Neural Computation, 15, 1691–1714.10.1162/089976603321891864
  • Cherkassky, V., & Mulier, F. (2007). Learning from data. New York, NY: John Wiley.10.1002/9780470140529
  • Cherkassky, V., Shao, X., Mulier, F., & Vapnik, V. (1999). Model complexity control for regression using VC generalization bounds. IEEE Transactions on Neural Networks, 10, 1075–1089.10.1109/72.788648
  • Chouinard, L.E., Elfashny, K., Nguyen, V.T.V., & Laflamme, J. (1998). Modeling of icing events based on passive ice meter observations in Quebec. Atmospheric Research, 46, 169–179.10.1016/S0169-8095(97)00059-8
  • Dagher, H.J., & Lu, Q. (1993). System reliability analysis of transmission lines. Engineering Structures, 15, 251–258.10.1016/0141-0296(93)90028-3
  • Dagher, H.J., Kulendran, S., Peyrot, A., & Maamouri, M. (1991). Relationships between components, structures, and line reliabilities. In Probabilistic Methods Applied to Electric Power Systems (pp. 117–122). London, UK: IET.
  • Ding, A., Zhao, X., & Jiao, L. (2002). Traffic flow time series prediction based on statistics learning theory. Proceedings of the IEEE 5th International Conference on Intelligent Transportation Systems (pp. 727–730) Singapore: IEEE.10.1109/ITSC.2002.1041308
  • Ditlevsen, O. (1979). Narrow reliability bounds for structural systems. Journal of Structural Mechanics, 7, 453–472.10.1080/03601217908905329
  • El-Fashny, K. (2012). Modelling ice loads using passive ice meter observations in Quebec (Doctoral dissertation). Montreal, Canada: Department of Civil Engineering and Applied Mechanics, McGill University.
  • EN 50341-1. (2001). Overhead electrical lines exceeding AC 45 kV. Part 1: General requirements – Common specifications. Brussels: CENELEC.
  • Foschi, R.O. (2004). Reliability theory and applications to risk analysis of power components and systems. International Journal of Electrical Power & Energy Systems, 26, 249–256.10.1016/j.ijepes.2003.10.004
  • Ghannoum, E. (1983a). Probabilistic design of transmission lines part I: Probability calculations and structural reliability. IEEE Transactions on Power Apparatus and Systems, PAS-102, 3057–3064.10.1109/TPAS.1983.318112
  • Ghannoum, E. (1983b). Probabilistic design of transmission lines part II: Design criteria corresponding to a target reliability. IEEE Transactions on Power Apparatus and Systems, PAS-102, 3065–3079.10.1109/TPAS.1983.318113
  • Ghannoum, E. (1984). Improving transmission line design by using reliability techniques. IEEE Transactions on Power Apparatus and Systems, PAS-103, 3144–3152.10.1109/TPAS.1984.318337
  • Ghannoum, E., Rogier, J., Rolfseng, L., & Thorn, C. (2006). Reliability based design methods for overhead lines advantages, applications and comparisons. CIGRE Technical Brochure. Working Group B2.06.
  • Guan, X.L., & Melchers, R.E. (2001). Effect of response surface parameter variation on structural reliability estimates. Structural Safety, 23, 429–444.10.1016/S0167-4730(02)00013-9
  • Haldar, A. (2006). Upgrading of a 230 kV steel transmission line system using probabilistic approach. In 9th International Conference on Probabilistic Methods Applied to Power Systems. PMAPS 2006 (pp. 1–7). Stockholm, Sweden: IEEE.
  • Haldar, A., & Mahadevan, S. (2000). Probability, reliability and statistical methods in engineering design. New York, NY: John Wiley.
  • Holmes (2008). Recent developments in the specification of wind loads on transmission lines. Journal of Wind & Engineering, 5, 8–18.
  • Hou, Y., Wang, X., Guo, J., & Duan, J. (2013). Transmission line de-icing outage scheduling based on risk assessment. In 2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC) (pp. 1–6). Kowloon, Hong Kong. 10.1109/APPEEC.2013.6837177
  • Hou, H., Li, Y.S., Dong, J., Lu, N., & Tang, A.H. (2015). Ice disaster prevention measure optimization model. International Journal of Security and Its Applications, 9, 179–188.10.14257/ijsia
  • Hurtado, J.E. (2004). An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory. Structural Safety, 26, 271–293.10.1016/j.strusafe.2003.05.002
  • ISO 2394. (1998). General principles on reliability for structures. (2nd ed.). Geneva: Author.
  • Jones, K.F. (1998). A simple model for freezing rain ice loads. Atmospheric Research, 46, 87–97.10.1016/S0169-8095(97)00053-7
  • Karamchandani, A. (1987). Structural system reliability analysis methods. Report No. 83. Stanford, California: John A. Blume Earthquake Engineering Center. Department of Civil Engineering. Stanford University.
  • Kuo, W., & Zhu, X. (2012a). Introduction and Background, in Importance Measures in Reliability, Risk, and Optimization: Principles and Applications. Chichester, UK: John Wiley & Sons, Ltd.10.1002/9781118314593. part1
  • Kuo, W., & Zhu, X. (2012b). Relations and generalizations of importance measures in reliability. IEEE Transactions on Reliability, 61, 659–674.10.1109/TR.2012.2208302
  • Kuo, W., & Zhu, X. (2012c). Some recent advances on importance measures in reliability. IEEE Transactions on Reliability, 61, 344–360.10.1109/TR.2012.2194196
  • Lemaire, M. (2013). Structural reliability. London, UK: John Wiley.
  • Li, H., Zhang, J., & Bhuyan, G. (2006). Reliability assessment of electrical overhead distribution wood poles. International Conference on Probabilistic Methods Applied to Power Systems, PMAPS 2006 (pp. 1–4). Stockholm, Sweden: IEEE.
  • Liu, P., & Peters, J.F. (1999). Risk analysis for high-voltage transmission line de-icing system. IEEE Canadian Conference on Electrical and Computer Engineering, 3, 1248–1252.
  • Melchers, R.E. (1999). Structural reliability analysis and prediction. (2nd ed.). Chichester, UK: John Wiley.
  • Miller, A. (2002). Subset selection in regression. (2nd ed.). London: Chapman & Hall/CRC.10.1201/CHMONSTAAPP
  • Montgomery, D.C., & Runger, G.C. (2003). Applied statistics and probability for engineers. (3rd ed.). Hoboken, NJ: John Wiley.
  • Rajashekhar, M.R., & Ellingwood, B.R. (1993). A new look at the response surface approach for reliability analysis. Structural Safety, 12, 205–220.10.1016/0167-4730(93)90003-J
  • Rodriguez, J., Perez, A., & Lozano, J. (2010). Sensitivity analysis of k-fold cross validation in prediction error estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 32, 569–575.10.1109/TPAMI.2009.187
  • SAP2000. (1996). Integrated finite element analysis and design of structures: Analysis reference. Berkeley, CA: Computers and Structures,.
  • Shao, X., Cherkassky, V., & Li, W. (2000). Measuring the VC-dimension using optimized experimental design. Neural Computation, 12, 1969–1986.10.1162/089976600300015222
  • Tapia-Hernández, E., Ibarra-Gonzalez, S., & De-León-Escobedo, D. (2016). Collapse mechanisms of power towers under wind loading. Structure and Infrastructure Engineering. doi:10.1080/15732479.2016.1190765.0765
  • Vapnik, V. (1995). The nature of statistical learning theory. New York, NY: Springer.10.1007/978-1-4757-2440-0
  • Vapnik, V., & Chervonenkis, A.Y. (1968). On the uniform convergence of relative frequencies of events to their probabilities. Doklady Akademii Nauk USSR, 181.
  • Wechsler, H., Duric, Z., Li, F., & Cherkassky, V. (2004). Motion estimation using statistical learning theory. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26, 466–478.10.1109/TPAMI.2004.1265862
  • Yang, H., Chung, C.Y., Zhao, J., & Dong, Z. (2013). A probability model of ice storm damages to transmission facilities. IEEE Transactions on Power Delivery, 28, 557–565.10.1109/TPWRD.2012.2212216
  • Zhao, Y.G., & Ono, T. (1999). A general procedure for first/second-order reliability method (FORM/SORM). Structural Safety, 21, 95–112.10.1016/S0167-4730(99)00008-9

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.