Self-damping of Optical Ground Wire‎ Cables: A Bayesian Approach

Document Type : Research Paper


1 Conductor Testing Laboratory, Department of Applied Mechanics, Faculty of Engineering, Universidad Nacional del Comahue, Buenos Aires 1400, Neuquén, 8300, Argentina

2 Center for Theoretical and Applied Research in Mechanics, Universidad Tecnológica Nacional FRBB, 11 de Abril 461, 8000, Bahía Blanca, Argentina


The empirical Power Law model has a long usage history in cable self-damping studies, and several types of research have been done to characterize its parameters for various types of cables. In this work, a novel Bayesian model calibration framework is proposed and applied to study self-damping Optical Ground Wire (OPGW) cables. This technique then combines experimental and statistical approaches to obtain the confidence intervals for each parameter and characterize the different regions where the model presents other behaviors. The results enable a better calibration of the model's parameters and agree with the trends already set in the literature. They also provide a new understanding of the model and estimate different uncertainties its application entices.


Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. 

[1] Günday, A., Karlik, S.E., Optical fiber distributed sensing of temperature, thermal strain and thermo-mechanical force formations on OPGW cables under wind effects, 8th International Conference on Electrical and Electronics Engineering (ELECO), 2013.
[2] Kiessling, F., Nefzger, P., Nolasco, J.F., Kaintzyk, U., Overhead Power Lines: Planning, Design and Construction, Springer, Berlin Heidelberg, 2014.
[3] Cosmai, U., Van Dyke, P., Mazzola, L., Lillien, J.L., Conductors Motions in Overhead Lines, Springer International Publishing, 2017.
[4] Gasparetto, M., Falco, M., On vibrations induced in a cylinder in the wake of another due to vortex shedding, Meccanica, 9, 1974, 325-336.
[5] Goldstein, S., Modern Developments in Fluid Dynamics: An Account of Theory and Experiment Relating to Boundary Layers, Turbulent Motion and Wakes, Clarendon Press, 1950.
[6] Donohue Bishop, R.E., Hassan, A.Y., The lift and drag forces on a circular cylinder oscillating in a flowing fluid, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 277, 1964, 51–75.
[7] Electrical Power Research, Transmission Line Reference Book: Wind-Induced Conductor Motion, 2006.
[8] Campos, D.F., Ajras, A.E., Piovan, M.T., Bayesian model calibration for bending stiffness assessment in OPGW cables, International Conference on Electrical, Computer and Energy Technologies (ICECET), 2021.
[9] Hardy, C., Analysis of self-damping characteristics of stranded cables in transverse vibrations, Proceedings of the CSME, CSME Mechanical Engineering Forum, 1, 1990, 117-122.
[10] Cardou, A., Jolicoeur, C., Mechanical Models of Helical Strands, Applied Mechanics Reviews, 50, 1997, 1-14.
[11] Hardy, C., Leblond, A., On the Dynamic Flexural Rigidity of Taut Stranded Cables, Fifth International Symposium on Cable Dynamics, 2003.
[12] Conseil International des Grands Réseaux Électriques (CIGRE), State of the art for testing self-damping characteristics of conductors for overhead lines, 2011.
[13] International Electrotechnical Commission, IEC 62567-2013 - Methods for testing self-damping characteristics of conductors, 2013.
[14] Oberkampf, W.L., Roy, C.J., Verification and Validation in Scientific Computing, Cambridge University Press, 2010.
[15] Muehleisen, R.T., Bergerson, J., Bayesian Calibration - What, Why And How?, International High Performance Buildings Conference, 2016.
[16] Diana, G., Falco, M., On the forces transmitted to a vibrating cylinder by a blowing fluid - Experimental study and analysis of the phenomenon, Meccanica, 6, 1971, 9–22.
[17] Institute of Electrical and Electronics Engineers, IEEE Std 563: Guide on Conductor Self-Damping Measurements, 1978.
[19] Noiseux, D.U., Similarity laws of the internal damping of stranded cables in transverse vibrations, IEEE Transactions on Power Delivery, 7, 1992, 1574–1581.
[20] Foti, F., Martinelli, L., A unified analytical model for the self-damping of stranded cables under aeolian vibrations, Journal of Wind Engineering and Industrial Aerodynamics, 176, 2018, 225-238.
[21] Salvatier, J., Wiecki, T.V., Fonnesbeck, C., Probabilistic programming in Python using PyMC3, PeerJ Computer Science, 2(e55), 2016.
[22] Lintusaari, J., Gutmann, M.U. Kaski, S., Corander, J., On the Identifiability of Transmission Dynamic Models for Infectious Diseases, Genetics, 202(3), 2016, 911-918.
[23] Gelman, A., Rubin, D.B., Inference from Iterative Simulation Using Multiple Sequences, Statistical Science, 7(4), 1992, 457-472.
[24] Brooks, S.P., Gelman, A., General Methods for Monitoring Convergence of Iterative Simulations, Journal of Computational and Graphical Statistics, 7(4), 1998, 434-455.
[25] Flegal, J.M., Monte Carlo Standard Errors for Markov Chain Monte Carlo, University of Minnesota, 2008.
[26] Kumar, R., Carroll, C., Hartikainen, A., Osvaldo, M., ArviZ a unified library for exploratory analysis of Bayesian Models in Python, The Open Journal, 4(33), 2019, 1143.
[27] Wolf, H., Adum, B., Bozic, Z., The Impact of Empirical Rules for Aeolian Vibrations in Overhead Transmission Lines, Transactions of FAMENA, 34(2), 2010, 47-5.
[28] Tavano, F., Collection of experimental data on aeolian vibration on single conductors, CIGRE 22-91, 1991.
[29] Tavanno, F., Cloutier, L., Claren, R., Ervik, M., Hagerdorn, P., Hardy, C., Kern, G., Krispin, H-J., Möcks, L., Rawlins, C.B., Dulhunty, P.W., Manenti, A., Tunstall, M., Asselin, J.M., Bückner, W., Havard, D.G., Hearnshaw, D., Diana, G., Modelling of Aeollian Vibrations of Single Conductors, Springer, 2018.