probenerИзвестия высших учебных заведений. ПРОБЛЕМЫ ЭНЕРГЕТИКИPower engineering: research, equipment, technology1998-99032658-5456Kazan State Power Engineering University10.30724/1998-9903-2024-26-6-108-120probener-3227Research ArticleЭЛЕКТРОЭНЕРГЕТИКАELECTRICITYМоделирование электромагнитных влияний шестифазной ЛЭП на трубопроводыModeling of electromagnetic effects of six-phase power lines on pipelinesКрюковА. В.KryukovA. V.

Крюков Андрей Васильевич – д-р техн. наук, профессор кафедры электроэнергетики транспорта; рофессор кафедры электроснабжения и электротехники

г. Иркутск

Andrey V. Kryukov

Irkutsk

СусловК. В.SuslovK. V.

Суслов Константин Витальевич – д-р техн. наук, доцент, профессор кафедры гидроэнергетики и возобновляемых источников энергии; профессор кафедры электроснабжения и электротехники

г. Иркутск

г. Москва

Konstantin V. Suslov

Irkutsk

Moscow

dr.souslov@yandex.ruКрюковА. Е.KryukovA. E.

Крюков Александр Егорович – ассистент кафедры электрических станций

г. Иркутск

Aleksandr E. Kryukov

Irkutsk

Иркутский государственный университет путей сообщения; Иркутский национальный исследовательский технический университетРоссияIrkutsk State Transport University; Irkutsk National Research Technical UniversityRussian FederationИркутский национальный исследовательский технический университет; Национальный исследовательский университет «МЭИ»РоссияIrkutsk National Research Technical University; National Research University "MEI"Russian FederationИркутский национальный исследовательский технический университетРоссияIrkutsk National Research Technical UniversityRussian Federation202413012025266108120Copyright © Крюков А.В., Суслов К.В., Крюков А.Е., 20242024Крюков А.В., Суслов К.В., Крюков А.Е.Kryukov A.V., Suslov K.V., Kryukov A.E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.energyret.ru/jour/article/view/3227

ЦЕЛЬ. Разработка цифровых моделей для вычисления наведенных напряжений на трубопроводе, создаваемых шестифазной линией электропередачи в нормальном и аварийных режимах работы. МЕТОДЫ. Исследования проводились на компьютерной модели электрической сети, имеющей в своем составе линию данного типа. Для ее формирования использовался подход, базирующийся на применении фазных координат. Моделирование осуществлялось на основе программного комплекса Fazonord, версия 5.3.5.3-2024. РЕЗУЛЬТАТЫ. Рассматривались следующие режимы работы мультифазной ЛЭП 220 кВ: симметричный и неполнофазный при нагрузках на приемном конце 300 + j150 МВ·А; одно- и двухфазные короткие замыкания (КЗ), а также 2-х фазное КЗ на землю. Для сравнения проведено моделирование ЛЭП типового исполнения. Полученные результаты дали возможность сделать следующие выводы: в симметричном нагрузочном режиме 6-ти фазная линия создает в отдельных точках трубы наведенные напряжения, более чем в три раза превышающие аналогичные параметры для ЛЭП традиционной конструкции; однако их величины не превышают допустимого уровня в 60 В; для КЗ максимумы потенциалов на трубе в рассматриваемых ЛЭП различаются незначительно; при отключении одной фазы их уровни при шестифазной ЛЭП выходят за допустимый предел, а в трехфазной линии не превышают 60 В. ЗАКЛЮЧЕНИЕ. Применяемый подход отличается универсальностью и может использоваться для определения режимов в сетях различной конфигурации; разработанные модели могут быть востребованы в практике проектирования участков совместного прохождения перспективных ЛЭП шестифазного исполнения и трубопроводов при планировании мероприятий по обеспечению безопасной работы обслуживающего персонала.

THE PURPOSE. Development of digital models for calculating induced voltages on a pipeline created by a six-phase power transmission line in normal and emergency operating modes. METHODS. The studies were conducted on a computer model of an electrical network that includes a line of this type. Its formation involved an approach based on the use of phase coordinates. The modeling was carried out using the Fazonord software package, version 5.3.5.3-2024. RESULTS. The following operating modes of a 220 kV multiphase power transmission line were considered: symmetrical and open-phase with loads at the receiving end of 100 + j50 MVA per phase; single-phase, two-phase short circuits, as well as a two-phase ground fault. For comparison, the modes of a two-circuit three-phase power transmission line were modeled. The obtained results allowed us to draw the following conclusions: in a symmetrical load mode, a six-phase line creates induced voltages at certain points of the pipe that are more than three times greater than similar parameters for a three-phase power transmission line; however, the values of induced potentials do not exceed the permissible level of 60 V; in short-circuit modes, the maximum induced voltages in the transmission lines under consideration differ insignificantly; when one phase is disconnected, the induced voltages in a six-phase power transmission line go beyond the permissible limit, and in a three-phase line they do not exceed 60 V. CONCLUSION. The applied approach is distinguished by its universality and can be used to determine modes in networks of various configurations; the developed models can be used in the practice of designing sections of joint passage of promising six-phase power transmission lines and pipelines when developing measures to ensure the safe operation of service personnel.

шестифазные ЛЭПнаведенные напряжения на деталях магистрального трубопроводамоделированиеsix-phase power transmission linesinduced voltages on parts of the main pipelinemodelingReferencesКоррекция коэффициента мощности в системах электроснабжения с многофазными нелинейными нагрузками / Егоров Д.Э., Довгун В.П., Боярская Н.П. [и др.] // Известия высших учебных заведений. Проблемы энергетики. Т. 22. № 6. 2020. С. 3-15.Power Factor Correction in Power Supply Systems with Multiphase Nonlinear Loads / Egorov D.E., Dovgun V.P., Boyarskaya N.P. [et al.] // News of Higher Educational Institutions. Problems of Power Engineering. Vol. 22. No. 6. 2020. Pp. 3-15.Гершенгорн А. И. Многофазные линии электропередачи высокого и сверхвысокого напряжения // Электрические станции. № 8. 1994. С. 67-70.Gershengorn A.I. Multiphase High and Ultra-High Voltage Power Transmission Lines // Electric Power Stations. No. 8. 1994. Pp. 67-70.Королев А.Н., Куликов К.В., Коротков В.В. Особенности построения многофазных ЛЭП // Повышение эффективности работы энергосистем. Иваново, 2001. С. 108-111.Korolev A.N., Kulikov K.V., Korotkov V.V. Features of the Construction of Multiphase Power Transmission Lines // Improving the Efficiency of Power Systems. Ivanovo, 2001. Pp. 108-111.Суслов В.М. Определение матрицы обобщенных параметров несимметричной многофазной линий электропередачи // Проблемы региональной энергетики. № 1. 2005. С. 74-77.Suslov V.M. Definition of the Matrix of Generalized Parameters of an Asymmetrical Multiphase Power Transmission Line // Problems of Regional Power Engineering. № 1. 2005. P. 74-77.Самородов Г. И. Четырехфазные электропередачи. // Известия РАН «Энергетика». № 6. 1995. С. 101–108.Samorodov G. I. Four-phase power transmission. // Bulletin of the Russian Academy of Sciences "Power Engineering". № 6. 1995. Pp. 101–108.Москалев Ю.В. Повышение эффективности транспорта электроэнергии с использованием трансформаторного преобразователя числа фаз и многофазной линии электропередачи // Проблемы машиноведения. Материалы VII Международной научно-технической конференции. Омск, 2023. С. 13-18.Moskalov Yu. V. Increasing the efficiency of electric power transportation using a transformer phase converter and a multi-phase power transmission line // Problems of Mechanical Engineering. Proceedings of the VII International Scientific and Technical Conference. Omsk, 2023. P. 13-18.Москалев Ю.В. Моделирование работы трехфазно-многофазного трансформаторного преобразователя числа фаз с линейной симметричной нагрузкой // Динамика систем, механизмов и машин. Т. 10. № 1. 2022. С. 65-69.Moskalov Yu. V. Modeling the operation of a three-phase-multiphase transformer phase converter with a linear symmetrical load // Dynamics of systems, mechanisms and machines. Vol. 10. № 1. 2022. P. 65- 69.Ammar A. Hajjar, M. M. Mansour. Fault location for Six-Phase Transmission Lines based on the wavelet transform of the fault induced high frequency transients. 2007 42nd International Universities Power Engineering Conference. 2007. Publisher: IEEE.Ammar A. Hajjar, M. M. Mansour. Fault location for Six-Phase Transmission Lines based on the wavelet transform of the fault induced high frequency transients. 2007 42nd International Universities Power Engineering Conference. 2007. Publisher: IEEE.M.W. Mustafa, M.R. Ahmad, H. Shareef. Fault analysis on double three-phase to six-phase converted transmission line. 2005 International Power Engineering Conference. 2005. Publisher: IEEE.M.W. Mustafa, M.R. Ahmad, H. Shareef. Fault analysis on double three-phase to six-phase converted transmission line. 2005 International Power Engineering Conference. 2005. Publisher: IEEE.Hussein Ahmad, M. I. Jambak. Advanced laboratory scale model of high phase conversion power transmission line. 2008 IEEE 2nd International Power and Energy Conference. 2008. Publisher: IEEE.Hussein Ahmad, M. I. Jambak. Advanced laboratory scale model of high phase conversion power transmission line. 2008 IEEE 2nd International Power and Energy Conference. 2008. Publisher: IEEE.Gaurav Kapoor. Six Phase Transmission Line Boundary Protection Using Mathematical Morphology. 2018 International Conference on Computing, Power and Communication Technologies (GUCON). 2018. Publisher: IEEE.Gaurav Kapoor. Six Phase Transmission Line Boundary Protection Using Mathematical Morphology. 2018 International Conference on Computing, Power and Communication Technologies (GUCON). 2018. Publisher: IEEE.M. W. Mustafa, M. R. Ahmad. Transient Stability Analysis of Power System with Six-Phase Converted Transmission Line. 2006 IEEE International Power and Energy Conference. 2006. Publisher: IEEE.M. W. Mustafa, M. R. Ahmad. Transient Stability Analysis of Power System with Six-Phase Converted Transmission Line. 2006 IEEE International Power and Energy Conference. 2006. Publisher: IEEE.Tirupathi Rao Althi, Ebha Koley, Subhojit Gosh. LSTM Classifier Based Fault Detection and Classification Scheme for 1-Open Conductor Faults in Six-Phase Transmission Line. 2024 Third International Conference on Power, Control and Computing Technologies (ICPC2T). 2024. Publisher: IEEE.Tirupathi Rao Althi, Ebha Koley, Subhojit Gosh. LSTM Classifier Based Fault Detection and Classification Scheme for 1-Open Conductor Faults in Six-Phase Transmission Line. 2024 Third International Conference on Power, Control and Computing Technologies (ICPC2T). 2024. Publisher: IEEE.Gaurav Kapoor, Rabindra Nath Shaw. SWT-Based Fault Recognition Technique for Six-Phase Transmission System. 2020 IEEE International Conference on Computing, Power and Communication Technologies (GUCON). 2020 Publisher: IEEE.Gaurav Kapoor, Rabindra Nath Shaw. SWT-Based Fault Recognition Technique for Six-Phase Transmission System. 2020 IEEE International Conference on Computing, Power and Communication Technologies (GUCON). 2020 Publisher: IEEE.M.A.B Sidik, H. Ahmad, Z.A. Malek, Z. Buntat, N. Bashir, M.I.A. Zarin, M.A.B Sidik, Z. Nawawi, M.I. Jambak. Induced voltage on objects under six-phase transmission line. TENCON 2011 - 2011 IEEE Region 10 Conference. 2011. Publisher: IEEE.M.A.B Sidik, H. Ahmad, Z.A. Malek, Z. Buntat, N. Bashir, M.I.A. Zarin, M.A.B Sidik, Z. Nawawi, M.I. Jambak. Induced voltage on objects under six-phase transmission line. TENCON 2011 - 2011 IEEE Region 10 Conference. 2011. Publisher: IEEE.Jong-Ian Tsai, Rong-Ching Wu, Tung-Sheng Zhan, Ting-Chia Ou, Wen-Yang Li, Yong-Nong Chang. Turbine-generator blade and shaft torisonal torques due to line faults in six-phase transmission systems evolved from three-phase double-circuit line systems. 2009 4th IEEE Conference on Industrial Electronics and Applications. 2009. Publisher: IEEE.Jong-Ian Tsai, Rong-Ching Wu, Tung-Sheng Zhan, Ting-Chia Ou, Wen-Yang Li, Yong-Nong Chang. Turbine-generator blade and shaft torisonal torques due to line faults in six-phase transmission systems evolved from three-phase double-circuit line systems. 2009 4th IEEE Conference on Industrial Electronics and Applications. 2009. Publisher: IEEE.S.O. Faried, S. Al-Senaidi, S. Upadhyay. Impact of fault clearing and high-speed reclosing of six phase transmission line faults on turbine-generator shaft torsional torques. 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502). 2001. Publisher: IEEE.S.O. Faried, S. Al-Senaidi, S. Upadhyay. Impact of fault clearing and high-speed reclosing of six phase transmission line faults on turbine-generator shaft torsional torques. 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502). 2001. Publisher: IEEE.Gaurav Kapoor, Anamika Yadav. A Single-Terminal Hybrid Scheme for Six-Phase Transmission Line Protection. 2020 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES). 2020. Publisher: IEEE.Gaurav Kapoor, Anamika Yadav. A Single-Terminal Hybrid Scheme for Six-Phase Transmission Line Protection. 2020 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES). 2020. Publisher: IEEE.Tirupathi Rao Althi, Ebha Koley, Subhojit Ghosh. Fuzzy Logic based Fault Detection and Classification scheme for Series Faults in Six Phase Transmission Line. 2021 7th International Conference on Electrical Energy Systems (ICEES). 2021. Publisher: IEEE.Tirupathi Rao Althi, Ebha Koley, Subhojit Ghosh. Fuzzy Logic based Fault Detection and Classification scheme for Series Faults in Six Phase Transmission Line. 2021 7th International Conference on Electrical Energy Systems (ICEES). 2021. Publisher: IEEE.Maneesh Verma, Ebha Koley, Subhojit Ghosh. Application of Fuzzy Logic for Fault Detection and Classification in Six Phase Transmission Line. 2017 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC). 2017. Publisher: IEEE.Maneesh Verma, Ebha Koley, Subhojit Ghosh. Application of Fuzzy Logic for Fault Detection and Classification in Six Phase Transmission Line. 2017 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC). 2017. Publisher: IEEE.Tuan Mohd Ikhwan Bin Tuan Yacob, Zuhaina Binti Zakaria, Noraliza Binti Hamzah. Study of six phase transmission line using the autotransformer conversion. 2011 IEEE Student Conference on Research and Development. 2011. Publisher: IEEE.Tuan Mohd Ikhwan Bin Tuan Yacob, Zuhaina Binti Zakaria, Noraliza Binti Hamzah. Study of six phase transmission line using the autotransformer conversion. 2011 IEEE Student Conference on Research and Development. 2011. Publisher: IEEE.Shanker Warathe, R N Patel. Six-phase transmission line over current protection by numerical relay. 2015 International Conference on Advanced Computing and Communication Systems. 2015. Publisher: IEEE.Shanker Warathe, R N Patel. Six-phase transmission line over current protection by numerical relay. 2015 International Conference on Advanced Computing and Communication Systems. 2015. Publisher: IEEE.Sunil Kumar Shukla, Murli Manohar, Chintan Patel, Tarun Tailor, Arun Rathore. A Combined S- transform and Ensemble of DT based Protection scheme for six-phase transmission line. 2023 International Conference on Power Electronics and Energy (ICPEE). 2023. Publisher: IEEE.Sunil Kumar Shukla, Murli Manohar, Chintan Patel, Tarun Tailor, Arun Rathore. A Combined S- transform and Ensemble of DT based Protection scheme for six-phase transmission line. 2023 International Conference on Power Electronics and Energy (ICPEE). 2023. Publisher: IEEE.A.A. Hajjar, M.M. Mansour, H.E.A. Tallat. Wavelets for six-phase transmission lines relaying: fault classification and phase selection. 11th IEEE Mediterranean Electrotechnical Conference (IEEE Cat. No.02CH37379). 2002. Publisher: IEEE.A.A. Hajjar, M.M. Mansour, H.E.A. Tallat. Wavelets for six-phase transmission lines relaying: fault classification and phase selection. 11th IEEE Mediterranean Electrotechnical Conference (IEEE Cat. No.02CH37379). 2002. Publisher: IEEE.A.A. Hajjar, M.M. Mansour, H.E.A. Talaat, S.O. Faried. Distance protection for six-phase transmission lines based on fault induced high frequency transients and wavelets. IEEE CCECE2002. Canadian Conference on Electrical and Computer Engineering. Conference Proceedings (Cat. No.02CH37373). 2002. Publisher: IEEE.A.A. Hajjar, M.M. Mansour, H.E.A. Talaat, S.O. Faried. Distance protection for six-phase transmission lines based on fault induced high frequency transients and wavelets. IEEE CCECE2002. Canadian Conference on Electrical and Computer Engineering. Conference Proceedings (Cat. No.02CH37373). 2002. Publisher: IEEE.G. Chandra Sekhar. A complete logic-based backup protection scheme for three and six phase transmission system by using negative sequence currents. TENCON 2017 - 2017 IEEE Region 10 Conference. 2017. Publisher: IEEE.G. Chandra Sekhar. A complete logic-based backup protection scheme for three and six phase transmission system by using negative sequence currents. TENCON 2017 - 2017 IEEE Region 10 Conference. 2017. Publisher: IEEE.V. Salehi, M. Jaefary, H. Lesani, E. Mostery. A comparative study of tripping and reclosing schemes for six-phase transmission line considering transient stability. 2009 IEEE International Conference on Industrial Technology. 2009. Publisher: IEEE.V. Salehi, M. Jaefary, H. Lesani, E. Mostery. A comparative study of tripping and reclosing schemes for six-phase transmission line considering transient stability. 2009 IEEE International Conference on Industrial Technology. 2009. Publisher: IEEE.Закарюкин В. П., Крюков А. В. Сложнонесимметричные режимы электрических систем. Иркутск: Изд-во Иркут. унта. 2005. 273 с.Zakaryukin V. P., Kryukov A. V. Complex asymmetric modes of electrical systems. Irkutsk: Irkutsk University Press. 2005. 273 p.Закарюкин В. П., Крюков А. В., Тхао Ван Лэ. Комплексное моделирование мультифазных, многоцепных и компактных линий электропередачи. Иркутск : ИрГУПС, 2020. 296 с.Zakaryukin V. P., Kryukov A. V., Thao Van Le. Complex modeling of multiphase, multi- circuit and compact power transmission lines. Irkutsk, 2020. 296 p.Крюков А. В., Черепанов А. В., Крюков А. Е. Моделирование электромагнитных влияний линий электропередачи и тяговых сетей на протяженные металлические конструкции. Иркутск : ИрГУПС, 2022. 188 с.Kryukov A. V., Cherepanov A. V., Kryukov A. E. Modeling of electromagnetic influences of power transmission lines and traction networks on extended metal structures. Irkutsk, 2022. 188 p.Carson I.R. Wave propagation in overhead wires with ground return // Bell System Techn. J. 1926. V. 5. P. 539-554.Carson I.R. Wave propagation in overhead wires with ground return // Bell System Techn. J. 1926. V. 5. P. 539-554.

The authors declare that there are no conflicts of interest present.