Lumped-Parameter and Finite Element Models of Overhead Power Line Conductors for Dynamic Thermal Rating Purposes

Francesco Bucchi; Giovanni Lutzemberger; Paolo Pelacchi; Davide Poli

doi:10.15866/iremos.v13i5.19214

Lumped-Parameter and Finite Element Models of Overhead Power Line Conductors for Dynamic Thermal Rating Purposes

Francesco Bucchi⁽¹⁾, Giovanni Lutzemberger^(2*), Paolo Pelacchi⁽³⁾, Davide Poli⁽⁴⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/iremos.v13i5.19214

Abstract

The steady-state approaches traditionally used to assess the capacity of overhead transmission power lines are being progressively replaced by procedures that consider the real and extremely variable weather conditions that are present along the path of the line under analysis (Dynamic Thermal Rating). Dynamic Thermal Rating (DTR) does not just estimate the temperature of the conductor in the different spans of the line, but also some mechanical quantities like their tension and sag, in order to appreciate the limitations imposed by the constraint of the minimum ground clearance. Modern DTR procedures need, therefore, proper mechanical models of the lines, in order to assess what happens both in normal and fault conditions. This paper proposes a comparison between a Finite Element Method (FEM) and a novel lumped-parameter model implemented through the Modelica language. Different realistic scenarios have been considered, like gusts of wind and the presence of ice. The outcomes of the two dynamic models have been compared to identify a trade-off between the accuracy of results and the computational time, as well as the dependency on the number of lumped masses used to model the line.
Copyright © 2020 Praise Worthy Prize - All rights reserved.

Keywords

Conductors; Dynamic Thermal Rating (DTR); Finite Element Method (FEM); Lumped Parameters; Modelica; Overhead Power Line

Full Text:

PDF

References

A. K. Deb, Powerline ampacity system: theory, modeling and applications (CRC Press, 2000).

S. Karimi, P. Musilek, A. M. Knight, Dynamic thermal rating of transmission lines: A review, Renewable and Sustainable Energy Reviews, vol. 91, pp. 600-612, 2018.
https://doi.org/10.1016/j.rser.2018.04.001

A. Pavlinić, V. Komen, M. Uzelac, Application of direct collocation method in short-term line ampacity calculation, EPSR, Vol.155, February 2018, pp. 216-224.
https://doi.org/10.1016/j.epsr.2017.10.018

D. L. Alvarez, F. Faria, E. Mombello, D. L. Ólason, An approach to dynamic line rating state estimation at thermal steady state using direct and indirect measurements, EPSR, Vol.163, 2018.
https://doi.org/10.1016/j.epsr.2017.11.015

D. Poli, P. Pelacchi, G. Lutzemberger, T. Baffa Scirocco, F. Bassi, G. Bruno, The possible impact of weather uncertainty on the Dynamic Thermal Rating of transmission power lines: A Monte Carlo error-based approach, EPSR, Vol.170 (May 2019), pp.338-347.
https://doi.org/10.1016/j.epsr.2019.01.026

E. Carlini, G. Giannuzzi, C. Pisani, A. Vaccaro, D. Villacci, Experimental deployment of a self-organizing sensors network for dynamic thermal rating assessment of overhead lines, EPSR, Vol.158, April 2018.
https://doi.org/10.1016/j.epsr.2017.12.007

G. Kosec, M. Maksić, Dynamic thermal rating of power lines – Model and measurements in rainy conditions, Int. Journal of Electrical Power and Energy Systems, Vol. 91, 2017.
https://doi.org/10.1016/j.ijepes.2017.04.001

B. P. Bhattarai, J. P. Gentle, P. Hill et alii, Transmission line ampacity improvements of altalink wind plant overhead tie-lines using weather-based dynamic line rating, IEEE Power and Energy Society General Meeting, pp. 1, 2018.
https://doi.org/10.1109/pesgm.2017.8273766

L. Dawson, A. M. Knight, Applicability of Dynamic Thermal Line Rating for Long Lines, IEEE Transactions on Power Delivery, vol. 33, no. 2, pp. 719-727, 2018.
https://doi.org/10.1109/tpwrd.2017.2691671

J. Jiang, Y. Liang, C. Chen et alii, On dispatching line ampacities of power grids using weather-based conductor temperature forecasts, IEEE Transactions on Smart Grid, vol. 9, no. 1, pp. 406-415, 2018.
https://doi.org/10.1109/tsg.2016.2553964

M. Giuntoli, P. Pelacchi, D. Poli, On the use of simplified reactive power flow equations for purposes of fast reliability assessment, IEEE EUROCON 2013, Zagreb, Croatia, 1-4 July 2013.
https://doi.org/10.1109/eurocon.2013.6625102

Giuntoli, M., Poli, D., On the Possible Use of Probabilistic Techniques for Purposes of Short-Term Load Dispatching, (2013) International Review of Electrical Engineering (IREE), 8 (4), pp. 1243-1252.

J. Teh, C. Lai, Y. Cheng, Impact of the real-time thermal loading on the bulk electric system reliability, IEEE Transactions on Reliability, vol. 66, no. 4, pp. 1110-1119, 2017.
https://doi.org/10.1109/tr.2017.2740158

J. Teh, C. Lai, N. A. Muhamad et alii, Prospects of Using the Dynamic Thermal Rating System for Reliable Electrical Networks: A Review, IEEE Access, vol. 6, pp. 26765-26778, 2018.
https://doi.org/10.1109/access.2018.2824238

J. Teh, C. A. Ooi, Y. Cheng et alii, Composite reliability evaluation of load demand side management and dynamic thermal rating systems, Energies, vol. 11, no. 2, 2018.
https://doi.org/10.3390/en11020466

F. Bassi, G. Giannuzzi, M. Giuntoli, P. Pelacchi, D. Poli, Thermo-mechanical dynamic rating of OHTL: applications to Italian lines, Paper C2-112, CIGRE Session 2014, Paris, 24-29 August 2014.

Pelacchi, P., Poli, D., Thermo-Mechanical Model of Multi-Span Overhead Transmission Lines Equipped with High-Temperature Low-Sag Conductors, (2015) International Review on Modelling and Simulations (IREMOS), 8 (3), pp. 331-338.
https://doi.org/10.15866/iremos.v8i3.5918

G. Chen, Y. Yang, Y. Yang et alii, Study on Galloping Oscillation of Iced Catenary System under Cross Winds, Shock and Vibration 2017 (2017).
https://doi.org/10.1155/2017/1634292

K. Ji, X. Rui, L. Li, A. Leblond, G. McClure, A novel ice-shedding model for overhead power line conductors with the consideration of adhesive/cohesive forces, Computers and Structures, vol. 157, pp. 153-164, 2015.
https://doi.org/10.1016/j.compstruc.2015.05.014

H. Aboshosha, A. El Damatty, Engineering method for estimating the reactions of transmission line conductors under downburst winds, Engineering Structures, vol. 99, pp. 272-284, 2015.
https://doi.org/10.1016/j.engstruct.2015.04.010

F. P. Nasution, S. Saevik, S. Berge, Experimental and finite element analysis of fatigue strength for 300 mm2 copper power conductor, Marine Structures, vol. 39, pp. 225-254, 2014.
https://doi.org/10.1016/j.marstruc.2014.07.005

F. Yang, J. Yang, Z. Zhang, H, Zhang, H. Xing, Analysis on the dynamic responses of a prototype line from iced broken conductors, Engineering Failure Analysis, vol. 39, pp. 108-123, 2014.
https://doi.org/10.1016/j.engfailanal.2014.01.015

Y. Xie, L. Huang, D. Wang et alii, Modeling and analysis of progressive ice shedding along a transmission line during thermal de-icing, Mathematical Problems in Engineering 2019 (2019).
https://doi.org/10.1155/2019/4851235

P. Carreira, V. Amaral, H. Vangheluwe, Foundations of Multi-Paradigm Modelling for Cyber-Physical Systems (Springer Nature Switzerland AG, 2018).
https://doi.org/10.1007/978-3-030-43946-0

P. Fritzson, A. Pop, A. Asghar et alii, The OpenModelica Integrated Modeling, Simulation and Optimization Environment, Proceedings of the 1st American Modelica Conference, Cambridge, Massachusetts, USA, 2018.

D. Poli, G. Lutzemberger, P. Pelacchi, Electromechanical dynamics of overhead electric power line conductors analysed through the Modelica language models, 19th Power Systems Computation Conference (PSCC), 20-24 June 2016, Genova.
https://doi.org/10.1109/pscc.2016.7540838

CEI (Comitato Elettrotecnico Italiano), Technical standards for the construction of external overhead power lines, CEI 11-4, 2011-01.

MSL Modelica Standard Library Official site: modelica.org/libraries, last access: 02/04/2020.

MSC, Adams, Adams User’s Manual, 2019.

M. K. Thompson, J.M. Thompson, ANSYS mechanical APDL for finite element analysis (Butterworth-Heinemann, 2017).
https://doi.org/10.1016/b978-0-12-812981-4.00002-2

N.K. Vaja, O. Barry, B. DeJong, Finite Element Modelling of Stockbridge Damper and Vibration Analysis: Equivalent Cable Stiffness, ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2017.
https://doi.org/10.1115/detc2017-68130

Refbacks

There are currently no refbacks.

Username
Password
Remember me