Determination of the electric field strength of high-voltage substations
DOI:
https://doi.org/10.20998/2074-272X.2023.5.09Keywords:
substation, power line, electric field, method of equivalent chargesAbstract
The electric field strength is one of the main factors influencing sensitive microprocessor equipment and personnel on power stations and substations, power lines. Determining its level is an important applied task for ensuring the safe operation of electrical installations. The aim is to develop calculation relationships for determining the electric field strength created by the busbar of high-voltage substations in the working areas of personnel. The solution of the problem was based on the use of the method of equivalent charges to determine the strength of the electric field created by the complex busbar of high-voltage substations. Methodology. The development was based on solving the problem of the potential of the electric field of a point charge located in a dielectric half-space for a cylindrical coordinate system. By representing the electrode in the form of a set of point charges and subsequent integration, an expression for calculating the potential is obtained, created by a busbar of arbitrary orientation of finite length in an analytical form. Using the principle of superposition of fields and the definition of the derivative, expressions were obtained for calculating the vertical component of the electric field strength at given heights. Results. Based on the obtained expressions, using Visual Basic, the simulation of the distribution of the electric field strength under a three-phase power line with a voltage of 150 kV was performed. Comparison with the known calculation results obtained on the basis of analytical expressions for infinitely long conductors showed that the obtained expressions have an error of no more than 7%. The scientific novelty lies in the fact that for the first time expressions were obtained for determining the electric field strength created by a system of electrodes of finite length, based on the analytical method for solving differential equations. Practical significance. The proposed technique is implemented as a test module of the LiGro specialized software package, which allows modeling complex busbar systems typical for power stations and substations and power lines. A test calculation was carried out for an operating substation of regional electric networks with a voltage class of 110 kV. By comparing the duration of the calculation of switchgears with a diagonal of about 500 m, it was found that the calculation time in the LiGro complex based on the analytical method is several tens of times less than the calculation based on the finite element method. In addition, a more powerful computer was used for the end element simulation.
References
State Standard. NPAOP 40.1-1.01-97 Rules for the safe operation of electrical arrangement. Kyiv, State Supervision of Occupational Safety and Health, 1997. 97 p. (Ukr)
IEC 62110:2009 – Electric and magnetic field levels generated by AC power systems. Geneva, IEC, 2009. 103 p.
Regulatory document SOU-N ЕЕ 20.179:2008. Calculation of the electric and magnetic fields of power line. Methodology. Kyiv, Мinpalyvenergo of Ukraine Publ., 2016. 37 p. (Ukr).
Shaalan E.M., Ghania S.M., Ward S.A. Analysis and measurement of electric field exposure inside 500/220 KV air insulated substation. Journal of Electrical Engineering, 2012, vol. 12, no. 2, pp. 77-84.
Li N., Yang X., Peng Z. Measurement of Electric Fields Around a 1000-kV UHV Substation. IEEE Transactions on Power Delivery, 2013, vol. 28, no. 4, pp. 2356-2362. doi: https://doi.org/10.1109/TPWRD.2013.2269146.
Tzinevrakis A.E., Tsanakas D.K., Mimos E.I. Analytical Calculation of the Electric Field Produced by Single-Circuit Power Lines. IEEE Transactions on Power Delivery, 2008, vol. 23, no. 3, pp. 1495-1505. doi: https://doi.org/10.1109/TPWRD.2008.916748.
Baishya M.J., Kishore N.K., Bhuyan S. Calculation of electric and magnetic field safety limits under UHV AC transmission lines. 2014 Eighteenth National Power Systems Conference (NPSC), 2014, pp. 1-6. doi: https://doi.org/10.1109/NPSC.2014.7103794.
Patsyuk V.I., Berzan V.P., Ribacova G.A. Mathematical Model of a Three-Phase Electric Line with Split Phases. Problems of the Regional Energetics, 2019, no. 1-3(42), pp. 53-67. doi: https://doi.org/10.5281/zenodo.3239218.
Rezinkina M.M. Simulation of electric fields in the presence of rods with rounded upper ends. Technical Physics, 2015, vol. 60, no. 3, pp. 337-343. doi: https://doi.org/10.1134/S1063784215030238.
Rezinkina M.M., Knyazyev V.V., Kravchenko V.I. Computation of the probability of lightning damage to ground objects. Technical Physics, 2007, vol. 52, no. 1, pp. 59-64. doi: https://doi.org/10.1134/S1063784207010100.
Shaalan E.M., Ghania S.M., Ward S.A. Analysis of electric field inside HV substations using charge simulation method in three dimensional. 2010 Annual Report Conference on Electrical Insulation and Dielectic Phenomena, 2010, pp. 1-5. doi: https://doi.org/10.1109/CEIDP.2010.5724041.
Koliushko D.G., Rudenko S.S., Saliba A.N. Method of integro-differential equations for interpreting the results of vertical electrical sounding of the soil. Electrical Engineering & Electromechanics, 2021, no. 5, pp. 67-70. doi: https://doi.org/10.20998/2074-272X.2021.5.09.
Koliushko D.G., Rudenko S.S., Istomin O.Ye., Saliba A.N. Simulation of electromagnetic processes in the grounding system with a short circuit in the operating high-voltage substation. Electrical Engineering & Electromechanics, 2022, no. 4, pp. 75-80. doi: https://doi.org/10.20998/2074-272X.2022.4.11.
Koliushko D.G., Rudenko S.S., Kiprych S.V. Analysis of the state of the external lightning protection system for operating energy objects. Electrical Engineering & Electromechanics, 2020, no. 5, pp. 66-70. doi: https://doi.org/10.20998/2074-272X.2020.5.10.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 D. G. Koliushko, S. S. Rudenko, S. O. Tyutyuma, B. V. Vorobiov
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Authors who publish with this journal agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.