Skip to main content

Advertisement

Log in

Calculation of the overhead transmission line conductor temperature in real operating conditions

  • Original Paper
  • Published:
Electrical Engineering Aims and scope Submit manuscript

Abstract

The integration of fluctuating renewable sources, load growth and aging of the current power system is the major reasons for the development of the electric power engineering. Transmission lines are recently facing new technical and economic challenges. The immediate utilization of advanced technologies and modern methods could solve these issues. This study deals with the transmission and distribution of electrical energy with orientation on the calculation of operating temperature on the conductor of transmission line, which is under actual current load. The load of the transmission line is limited with allowable operating temperature. The operating temperature should not exceed the allowable operating temperature because the conductors of the transmission line have mechanical limit from the standpoint of deflection of conductors. The operating temperature as well as operating conditions of the conductor is determined by the type and material of the ACSR conductor. This article aims to propose the suitable calculation methods of the operating temperature of the overhead transmission line conductor in real operating conditions (external weather influences, current loading and corona effect). The originality of this proposed method (by differential equation) lies in considering corona effect. This improves the accuracy of the calculation of the operating temperature of the conductor under real conditions. In this article, the calculations are compared according to methodology of differential equation and methodology described in CIGRE Technical Brochure 601—guide for thermal rating calculations of overhead lines. The methodology of differential equation counts with or without losses by corona. The article also compares these methods of operating temperature during days in various different weather conditions like environment temperature, solar irradiance, wind speed and direction. It was found that under the action of the corona, the temperature of the conductor increases to a small extent.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Black WZ, Byrd WR (1983) Real-time ampacity model for overhead lines. IEEE Trans Power Appar Syst 10:2289–2293

    Article  Google Scholar 

  2. Staněk P, Ivanová P (2015) Present trends in economic globalization. Bratislava, Slovakia (in Slovak)

    Google Scholar 

  3. Mészáros A, Gáll V (2018) Economic analysis of transmission line operation. In: International IEEE conference and workshop in Obuda on electrical and power engineering, Budapest, Hungary, pp 243–248. ISBN: 978-1-7281-1155-1

  4. Beryozkina S (2019) Evaluation study of potential use of advanced conductors in transmission line projects. Energies 12(5):822–848

    Article  Google Scholar 

  5. Beryozkina S, Sauhats A, Vanzovichs E (2011) Climate conditions impact on the permissible load current of the transmission line. In: Proceedings of the IEEE Trondheim PowerTech, pp 1–6

  6. Mészáros A, Gáll V, Tkáč J (2017) Analysis of operating temperature of the polycrystalline solar cell. Acta Electrotech Inf 4:57–62

    Google Scholar 

  7. Jorge RS, Hertwich EG (2013) Environmental evaluation of power transmission in Norway. Appl Energy 101:513–520

    Article  Google Scholar 

  8. Mészáros A, Gáll V (2015) Calculation of operating temperature of the transmission line at different operating conditions. In: The 8th international scientific symposium Elektroenergetika, Technical University of Košice, Košice, Slovakia, pp 129–132, ISBN: 978-80-553-2187-5

  9. Kotni L (2014) A proposed algorithm for an overhead transmission line conductor temperature rise calculation. Int Trans Electr Energy Syst 24:578–596

    Article  Google Scholar 

  10. Yan Z, Wang Y, Liang L (2017) Analysis on ampacity of overhead transmission lines being operated. J Inf Process Syst 13:1358–1371

    Google Scholar 

  11. Šnajdr J, Sedláček J, Vostracký Z (2014) Application of a line ampacity model and its use in transmission lines operations. J. Electr. Eng. 65:221–227

    Google Scholar 

  12. Kanálik M, Margitová A, Beňa Ľ (2019) Comparison of the temperature calculated by CIGRE technical brochure 601 with real temperature measurement on ACSR conductors in the Slovak Republic. Electr Eng 101(3):921–933

    Article  Google Scholar 

  13. Kanálik M, Margitová A, Urbanský J, Beňa Ľ (2019) Temperature calculation of overhead power line conductors according to the CIGRE technical brochure 207. In: Proceedings of the 20th international scientific conference on electric power engineering (EPE), pp 24–28

  14. Miura M, Satoh T, Iwamoto S, Kurihara I (2009) Application of dynamic rating to increase the available transfer capability. Electr Eng Jpn 166(4):40–47

    Article  Google Scholar 

  15. Quaia S (2018) Critical analysis of line loadability constraints. Int Trans Electr Energy Syst 24:1–11

    Google Scholar 

  16. Klimenta DO, Perović BD, Jevtić MD, Radosavljević JN (2016) An analytical algorithm to determine allowable ampacities of horizontally installed rectangular bus bars. Therm Sci 20(2):717–730

    Article  Google Scholar 

  17. Medveď D, Mišenčík L, Kolcun M, Zbojovský J, Pavlík M (2015) Measuring of magnetic field around power lines. In: Proceedings of the 8th international scientific symposium Elektroenergetika, pp 148–151

  18. Hu J, Xiong X, Chen J, Wang W, Wang J (2018) Transient temperature calculation and multi-parameter thermal protection of overhead transmission lines based on an equivalent thermal network. Energies 12(1):66–91

    Article  Google Scholar 

  19. Lhendup T, Lhundup S (2007) Comparison of methodologies for generating a typical meteorological year (TMY). Energy Sustain Dev 11(3):5–10

    Article  Google Scholar 

  20. Karimi S, Knight AM, Musilek P, Heckenbergerova J (2016) A probabilistic estimation for dynamic thermal rating of transmission lines. In: Proceedings of the IEEE 16th international conference on environment and electrical engineering (EEEIC), pp 1–6

  21. Michiorri A, Nguyen HM, Alessandrini S, Bremnes JB, Dierer S, Ferrero E, Nygaard BE, Pinson P, Thomaidis N, Uski S (2015) Forecasting for dynamic line rating. Renew Sustain Energy Rev 52:1713–1730

    Article  Google Scholar 

  22. Liu G, Li Y, Liu S, Dong X, Qu F, Li Y (2016) Real-time solar radiation intensity modeling for dynamic rating of overhead transmission lines. In: Proceedings of the Australasian universities power engineering conference (AUPEC), pp 1–6

  23. Teh J, Cotton I (2016) Reliability impact of dynamic thermal rating system in wind power integrated network. IEEE Trans Reliab 65(2):1081–1089

    Article  Google Scholar 

  24. Karimi S, Knight A, Musilek P (2016) A comparison between fuzzy and probabilistic estimation of dynamic thermal rating of transmission lines. In: Proceedings of the IEEE international conference on fuzzy systems (FUZZ-IEEE), pp 1740–1744

  25. Du Y, Liao Y (2012) On-line estimation of transmission line parameters, temperature and sag using PMU measurements. Electr Power Syst Res 93:39–45

    Article  Google Scholar 

  26. Black CR, Chisholm WA (2015) Key considerations for the selection of dynamic thermal line rating systems. IEEE Trans Power Delivery 30(5):2154–2162

    Article  Google Scholar 

  27. De Nazare FV, Werneck MM (2010) Temperature and current monitoring system for transmission lines using power-over-fiber technology. In: Proceedings of the IEEE instrumentation and measurement technology conference (I2MTC), pp 779–784

  28. Teh J, Cotton I (2015) Critical span identification model for dynamic thermal rating system placement. IET Gener Transm Distrib 9(16):2644–2652

    Article  Google Scholar 

  29. Matus M, Saez D, Favley M, Martinez CS, Moya J, Behnke RP, Olguin G, Jorquera P (2012) Identification of critical spans for monitoring systems in dynamic thermal rating. IEEE Trans Power Deliv 27(2):1002–1009

    Article  Google Scholar 

  30. Musilek P, Heckenbergerova J, Bhuiyan M (2012) Spatial analysis of thermal aging of overhead transmission conductors. IEEE Trans Power Deliv 27(3):1196–1204

    Article  Google Scholar 

  31. Bhuiyan M, Musilek P, Heckenbergerova J, Koval D (2010) Evaluating thermal aging characteristics of electric power transmission lines. In: Proceedings of the 23rd Canadian conference of electrical and computer engineering (CCECE), pp 1–4

  32. Heckenbergerova J, Musilek P, Bhuiyan M, Koval D, Pelikan E (2010) Identification of critical aging segments and hotspots of power transmission lines. In: Proceedings of the 9th international conference on environment and electrical engineering, pp 1–4

  33. STN EN 50341-1: Overhead electrical lines exceeding AC 45 kV. Part 1: general requirements. Common Specifications (2013)

  34. Heckenbergerova J, Musilek P, Filimonenkov K (2013) Quantification of gains and risks of static thermal rating based on typical meteorological year. Int J Electr Power Energy Syst 44(1):227–235

    Article  Google Scholar 

  35. Dynamic line rating for overhead lines – V6, CE TSOs Current Practice, RGCE SPD WG, ENTSO-E (2015)

  36. Heckenbergerova J, Musilek P, Filimonenkov K (2011) Assessment of seasonal static thermal ratings of overhead transmission conductors. In: Proceedings of the IEEE power and energy society general meeting, pp 1–8

  37. Karimi S, Musilek P, Knight AM (2018) Dynamic thermal rating of transmission lines: a review. Renew Sustain Energy Rev 91:600–612

    Article  Google Scholar 

  38. Arroyo A, Castro P, Martinez R, Manana M, Madrazo A, Lecuna R, Gonzalez A (2015) Comparison between IEEE and CIGRE thermal behavior standards and measured temperature on a 132-kV overhead power line. Energies 8(12):13660–13671

    Article  Google Scholar 

  39. Khaki M, Musilek P, Heckenbergerova J, Koval D (2010) Electric power system cost/loss optimization using dynamic thermal rating and linear programming. In: Proceedings of the IEEE electrical power and energy conference, pp 1–6

  40. Heckenbergerova J, Hosek J (2012) Dynamic thermal rating of power transmission lines related to wind energy integration. In: Proceedings of the 11th international conference on environment and electrical engineering, pp 798–801

  41. Fu J, Morrow DJ, Abdelkader SM (2012) Integration of wind power into existing transmission network by dynamic overhead line rating. In: Proceedings of the 11th international workshop on large-scale integration of wind power into power systems, pp 1–5

  42. Spoor DJ, Roberts JP (2011) Development and experimental validation of a weather-based dynamic line rating system. In: Proceedings of the IEEE PES innovative smart grid technologies, pp 1–7

  43. Hosek J, Musilek P, Lozowski E, Pytlak P (2011) Effect of time resolution of meteorological inputs on dynamic thermal rating calculations. IET Gener Transm Distrib 5(9):941–947

    Article  Google Scholar 

  44. Morrow DJ, Fu J, Abdelkader SM (2014) Experimentally validated partial least squares model for dynamic line rating. IET Renew Power Gener 8(3):260–268

    Article  Google Scholar 

  45. Pytlak P, Musilek P, Lozowski E, Toth J (2011) Modelling precipitation cooling of overhead conductors. Electr Power Syst Res 81:2147–2154

    Article  Google Scholar 

  46. Pytlak P, Musilek P, Doucet J (2011) Using Dynamic Thermal Rating systems to reduce power generation emissions. In: Proceedings of the IEEE power and energy society general meeting, pp 1–7

  47. IEEE (2012) Standard for calculating the current-temperature relationship of bare overhead conductors., Std 738

  48. CIGRE, Working Group 22.12 (2002) Thermal behaviour of overhead conductors, Technical Brochure 207

  49. CIGRE, Working Group B2.43 (2014) Guide for thermal rating calculation of overhead lines, Technical Brochure 601

  50. Schmidt N (1999) Comparison between IEEE and CIGRE ampacity standards. IEEE Trans Power Deliv 14:1555–1559

    Article  Google Scholar 

  51. Abbott S, Abdelkader S, Bryans L, Flynn D (2010) Experimental validation and comparison of IEEE and CIGRE dynamic line models. In: Proceedings of the 45th international universities power engineering conference (UPEC), pp 1–5

  52. CIGRE, Working Group B2.36 (2012) Guide for application of direct real-time monitoring systems, Technical Brochure 498

  53. CIGRE, Working Group B2.12 (2008) Alternating current (AC) resistance of helically stranded conductors, Technical Brochure 345

  54. CIGRE, Task Force B2.12.3 (2016) Sag-Tension calculation methods for overhead lines, Technical Brochure 324

  55. CIGRE, Working Group B2.12 (2006) Guide for the selection of weather parameters for bare overhead conductor ratings, Technical Brochure 299

  56. CIGRE, Working Group B2.12 (2004) Conductors for the uprating of overhead lines, Technical Brochure 244

  57. Ding Y, Gao M, Li Y Wang TL, Ni HL, Liu XD, Chen Z, Zhan QH, Hu C (2016) The effect of calculated wind speed on the capacity of dynamic line rating. In: Proceedings of the IEEE international conference on high voltage engineering and application (ICHVE), pp 1–5

  58. Maťko M, Michalovič P, Herman M (2015) Technical standard—the bare conductors of overhead lines (in Slovak)

  59. Stranded conductors drawn tubes (2016) Technical datasheet (in Slovak)

  60. Bárta J, Brousil P (2007) Bare conductors for overhead lines of concentrically stranded round wires—CSN EN 50182 (in Czech)

Download references

Acknowledgements

This work was supported by the Scientific Grant Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic and the Slovak Academy of Sciences under the contract VEGA No. 1/0372/18 and by Slovak Research and Development Agency under the contract APVV-19-0576.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ľubomír Beňa.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Beňa, Ľ., Gáll, V., Kanálik, M. et al. Calculation of the overhead transmission line conductor temperature in real operating conditions. Electr Eng 103, 769–780 (2021). https://doi.org/10.1007/s00202-020-01107-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00202-020-01107-2

Keywords

Navigation