Abstract
This paper concerns the human feet resistance estimates in safety studies of earthing systems, taking into account small effective thicknesses of the surface layer and mutual resistance between the feet. Based on simulations using the finite element method, performed to determine the variation of the feet resistance to earth with the following parameters: resistivity of natural soil, surface layer resistivity and thickness, and separation distance between the feet, the available literature was analyzed; then, expressions for the surface layer derating factor based on the one-foot model are suggested that best match the simulation results. Simple correction factors are also proposed for calculating the earth resistance of two feet in parallel and in series that take into account the mutual interference of the feet for different separation distances between the feet. The influence of inaccuracies in feet resistance assessment on estimates of permissible prospective touch and step voltages is discussed in various cases, taking into account that resistance of the human body depends on the applied voltage and current path.
Similar content being viewed by others
References
ANSI/IEEE Std 80-1986 (1986) IEEE guide for safety in AC substation grounding. The Institute of Electrical and Electronics Engineers. Inc., New York, USA
IEEE Std 80-2000 (2000) IEEE guide for safety in AC substation grounding. The Institute of Electrical and Electronics Engineers. Inc., New York, USA
IEEE Std 80-2013/Cor 1-2015 (2015) IEEE guide for safety in AC substation grounding. The Institute of Electrical and Electronics Engineers. Inc., New York
CENELEC EN 50522: 2010, Earthing of power installations exceeding 1kV (2010). European committee for electrotechnical standardization, Brussels, Belgium
BS EN 5022: 2010, Corr. 2012, Earthing of power installations exceeding 1kV (2012). British Standards Institution, BSI Standard Limited, London, UK
ABNT NBR 15751: 2009/Cor.1: 2013, Substation earthing systems—Requirements (2013). Brazilian Association of Technical Standards (ABNT), Rio de Janeiro, Brazil
DL/T 621, Grounding for AC electrical installations (1997). Ministry of Power Industry in the People’s Republic of China
BS 7354:1990, Code of practice for Design of high-voltage open-terminal stations (1990). British Standards Institution, BSI Standard Limited, London
Rulebook on Earthing of Electric Power Substations Exceeding 1000V (1995). Official Gazette of the Federal Republic of Yugoslavia, 61/95. Yugoslav Federal Institute for Standardisation, Belgrade, Yugoslavia
Dawalibi FP, Xiong W, Ma J (1993) Effects of deteriorated and contaminated substation surface covering layers on foot resistance calculations. IEEE Trans Power Deliv 8(1):104–113. https://doi.org/10.1109/61.180325
Thapar B, Gerez V, Kejriwal H (1994) Reduction factor for the ground resistance of the foot in substation yards. IEEE Trans Power Deliv 9(1):360–368. https://doi.org/10.1109/61.277707
Seedher HR, Arora JK (2003) A comparative study of expressions for reduction factor for ground resistance of foot. IEEE Trans Power Deliv 18(3):849–851. https://doi.org/10.1109/TPWRD.2003.813870
Kosztaluk R, Mukhedkar D, Gervais Y (1984) Field measurements of touch and step voltages. IEEE Trans Power Appar Syst 103(11):3826–3294. https://doi.org/10.1109/TPAS.1984.318571
Gillies DA, Stewart RP, Randolph JD et al (2005) Current North American assessment and refurbishment practices of substation grounding systems. IEEE Trans Power Deliv 20(3):1886–1889. https://doi.org/10.1109/TPWRD.2005.848632
Dawalibi FP, Southey RD, Baishiki RS (1990) Validity of conventional approaches for calculating body currents resulting from electric shocks. IEEE Trans Power Deliv 5(2):613–625. https://doi.org/10.1109/61.53063
Meliopoulos APS, Xia F, Joy EB, Cokkinides GJ (1993) An advanced computer model for grounding system analysis. IEEE Trans Power Deliv 8(1):13–23. https://doi.org/10.1109/61.180314
Thapar B, Gerez V, Singh V (1993) Effective ground resistance of the human feet in high voltage switchyards. IEEE Trans Power Deliv 8(1):7–12. https://doi.org/10.1109/61.180313
Lee CH, Meliopoulos APS (1999) Comparison of touch and step voltages between IEEE Std 80 and IEC 479–1. IEE Proc Gener Transm Distrib 146(5):593–601. https://doi.org/10.1049/ip-gtd:19990586
Sverak JG (1984) Simplified analysis of electrical gradients above a ground grid, part i: how good is the present IEEE method? (A special report for WG 78.1). IEEE Trans Power Appar Syst 103(1):7–25. https://doi.org/10.1109/TPAS.1984.318567
Sverak JG (1998) Progress in step and touch voltage equations of ANSI/IEEE Std 80—historical perspective. IEEE Trans Power Deliv 13(3):762–767. https://doi.org/10.1109/61.686972
Hocaoglu MH, Hocaoglu AT (1999) The accidental shock circuits for earthing system design in electrical substations. In: Proceedings of the ELECO’99 international conference on electrical and electronics engineering, E01.112/A1–80(A9–02), Bursa, Turkey. https://www.researchgate.net/publication/232735010. Accessed 20 Dec 2021
A. Dimopoulos (2009) Probabilistic risk assessment of electrical substations, dissertation, school of engineering, Cardiff University, UK. https://orca.cardiff.ac.uk/55083/1/U585472.pdf. Accessed 20 Dec 2021
Dimopoulos A, Griffiths H, Harid N et al (2012) Proposal for probabilistic risk assessment in grounding systems. IEEE Trans Power Deliv 27(4):2219–2226. https://doi.org/10.1109/TPWRD.2012.2204440
Pinto de Sá JL, M. Louro M, (2010) On human life risk-assessment and sensitive ground fault protection in MV distribution networks. IEEE Trans Power Deliv 25(4):2319–2327. https://doi.org/10.1109/TPWRD.2010.2053564
Bastian MB, Carman WD, Woodhouse DJ (2015) Real-time monitoring of substation ground potential rise and grounding system impedance using power system faults. IEEE Trans Ind Appl 51(6):5298–5304. https://doi.org/10.1109/TIA.2015.2425361
Coppo M, Bignucolo F, Turri R et al (2019) Analysis of frequency distribution of ground fault-current magnitude in transmission networks for electrical safety evaluation. Electr Power Syst Res 173:100–111. https://doi.org/10.1016/j.epsr.2019.03.024
Paunovic I, Nahman J (2017) Surface layer derating factor Cs for determining touch—and step—voltages. ResearchGate. https://doi.org/10.13140/RG.2.2.18303.92325
Paunovic I (2018) Consideration of criterions for safety in AC substation grounding based on the human feet resistance calculations with finite element method. ResearchGate. https://doi.org/10.13140/RG.2.2.36604.39041
IEC/TS 60479-1:2018, Effects of current on human beings and livestock. Part 1: general aspects (2018)
Laurent PG (1951) Les bases generales de la technique des Mises a la Terre dans les installations electriques. Bulletin de la Société française des électriciens 1(7):368–402
Jackson JD (1962) Boundary-value problems in electrostatics: II. In: Classical electrodynamics, 1st edn, pp 89–93. Wiley, New York
Ma J, Dawalibi FP, Southey RD (2002) Effects of the changes in IEEE Std. 80 on the design and analysis of power system grounding. In: Proceedings of the international conference on power system technology vol 2, pp 974–979. https://doi.org/10.1109/ICPST.2002.1047544
Seedher HR, Kumar R (1994) A new expression for foot resistance in switchyards. In: Proceedings of the 8th national power system conference, New Delhi, India, pp 711–715
Lin JM (2017) An investigation of grounding resistance estimation of human body by attenuation coefficient. Univ J Electr Electron Eng 5(4):67–74. https://doi.org/10.13189/ujeee.2017.050401
Tommasini R, Pertusio R (2003) Simplified formulas for the ground resistance of the human body for two-stratus soil. In: 2003 IEEE bologna power tech conference proceedings vol 6, no 4, pp 1–6. https://doi.org/10.1109/PTC.2003.1304753
Alves ACB (2014) Contributions to the calculation of reduction factor of contact resistance of the foot in grounding projects. IEEE Lat Am Trans 12(2):153–160. https://doi.org/10.1109/TLA.2014.6749532
Stanisic S, Radakovic Z (2017) Calculation of touch voltage based on physical distribution of earth fault current. IEEE Trans Power Deliv 32(5):2246–2254. https://doi.org/10.1109/TPWRD.2016.2618062
EPRI W. P. No. 3002008836 (2016) Touch and step voltage measurements on field installed ground grid overlaid with gravel and asphalt beds. Electric power research institute. https://www.epri.com/research/products/1020031. Accessed 20 Dec 2021
Heppe RJ (1979) Step potential and body current near grounds in two-layer earth. IEEE Trans Power Appar Syst 98(1):45–59. https://doi.org/10.1109/TPAS.1979.319512
Nahman J, Paunovic I (2006) Resistance to earth of earthing grids buried in multi-layer soil. Electr Eng 88:281–287. https://doi.org/10.1007/s00202-004-0282-y
Paunovic I, Nahman J (2004) Complex grounding systems analysis using finite element method (in serbo-croatian). J Union Yugosl Electr Power Ind Elektroprivr 16(3):92–100
Dina A, Zaharescu V, Guzun B, Comanescu G (2012) Maximum permissible touch and step voltages assessment in high voltage systems (> 1 kV). UPB Sci Bull Ser C 74(3):227–234
Acknowledgements
The author thanks Mr. Joel White, Beloit, Wisconsin, USA, for proofreading the first version of this paper.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Paunović, I.Ž. Expressions for the earth resistance of the human feet in safety studies of earthing systems. Electr Eng 105, 1377–1396 (2023). https://doi.org/10.1007/s00202-023-01736-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00202-023-01736-3