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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">ipolytech</journal-id><journal-title-group><journal-title xml:lang="ru">iPolytech Journal</journal-title><trans-title-group xml:lang="en"><trans-title>iPolytech Journal</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-4004</issn><issn pub-type="epub">2782-6341</issn><publisher><publisher-name>Irkutsk National Research Technical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21285/1814-3520-2023-1-74-82</article-id><article-id custom-type="elpub" pub-id-type="custom">ipolytech-679</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ЭНЕРГЕТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>POWER ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Послеаварийная реконфигурация распределительной сети как способ восстановления электроснабжения потребителей</article-title><trans-title-group xml:lang="en"><trans-title>Post-emergency reconfiguration of a distribution network as a method for restoring power supply to consumers</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Карпова</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Karpova</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Карпова Елена Валерьевна, аспирант</p><p>664033, г. Иркутск, ул. Лермонтова, 130, Россия</p></bio><bio xml:lang="en"><p>Elena V. Karpova, Postgraduate Student, Melentiev Energy Systems Institute SB RAS</p><p>130 Lermontov St., Irkutsk 664033, Russia</p></bio><email xlink:type="simple">karpova.e.v.96@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Голуб</surname><given-names>И. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Golub</surname><given-names>I. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Голуб Ирина Ивановна, д.т.н, профессор, ведущий научный сотрудник отдела электроэнергетических систем</p><p>664033, г. Иркутск, ул. Лермонтова, 130, Россия</p></bio><bio xml:lang="en"><p>Irina I. Golub, Dr. Sci. (Eng.), Professor, Leading researcher of the Department of Electric Power Systems</p><p>130 Lermontov St., Irkutsk 664033, Russia</p></bio><email xlink:type="simple">golub@isem.irk.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт систем энергетики им. Л.А. Мелентьева СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Melentiev Energy Systems Institute SB RAS</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>08</day><month>04</month><year>2023</year></pub-date><volume>27</volume><issue>1</issue><fpage>74</fpage><lpage>82</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Карпова Е.В., Голуб И.И., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Карпова Е.В., Голуб И.И.</copyright-holder><copyright-holder xml:lang="en">Karpova E.V., Golub I.I.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ipolytech.elpub.ru/jour/article/view/679">https://ipolytech.elpub.ru/jour/article/view/679</self-uri><abstract><p>Цель – проведение исследований, направленных на решение проблемы использования реконфигурации и дополнительных источников реактивной мощности для восстановления питания потребителей распределительной сети среднего напряжения при аварийных отключениях связей с секционными выключателями. Проблема реконфигурации для 118-узловой тестовой распределительной сети решается с использованием быстродействующего алгоритма, заключающегося в построении на графе сети максимального покрывающего дерева и определения на его основе информации о составе ветвей и хордах независимых контуров, необходимой для восстановления питания после отключения связей. Для обеспечения допустимых уровней напряжений после восстановления питания производится установка дополнительных источников реактивной мощности в сенсорных узлах сети, определяемых методами сингулярного анализа матрицы Якоби. Для тестовой схемы проанализированы режимы при единичных отключениях отдельных секционных выключателей, в том числе и в тупиковых секциях. Показано, что оптимальная реконфигурация сети в нормальном режиме позволила уменьшить отклонения напряжений с 13 до 7%. Для режимов, вызванных отключениями отдельных секционных выключателей, которые приводят к недопустимым отклонениям напряжения, выбраны места размещения и реактивные мощности дополнительных источников. В наиболее тяжелом из рассмотренных сценариев отключения связей установка дополнительных источников обеспечила снижение отклонений напряжений с 18 до 8%. Таким образом, предлагаемые авторами методы позволяют восстановить режим тестовой сети после аварийных отключений связей и обеспечить поддержание напряжений в узлах сети в допустимых пределах, как в нормальном, так и в послеаварийном режимах.</p></abstract><trans-abstract xml:lang="en"><p>The work is aimed at solving the problem of using reconfiguration and additional reactive power sources to restore power to consumers of the medium-voltage distribution network in the case of emergency disconnections of connections by bus section circuit breakers. The reconfiguration problem for a 118-node test distribution network is solved using a high-speed algorithm involving the construction of a maximum spanning tree on a network graph as the basis for determining information about the composition of branches and chords of independent circuits necessary to restore power following disconnection. To ensure acceptable voltage levels following power restoration, additional reactive power sources determined using singular Jacobian matrix analysis methods are installed in the sensor nodes of the network. For the test circuit, the modes for single disconnections of individual sectional switches, including in dead-end sections, are analysed. By optimally reconfiguring the network in the normal mode, it is possible to reduce voltage deviations from 13% to 7%. For the modes caused by disconnections of individual bus section circuit breakers that lead to unacceptable voltage deviations, the set-down locations and reactive power of additional sources are selected. In the most severe of the considered disconnection scenarios, the installation of additional sources provided a reduction in voltage deviations from 18 to 8%. Thus, the methods proposed by the authors make it possible to restore the test network mode following emergency disconnections and ensure that the voltages in the network nodes are maintained within acceptable limits, both in normal and in post-emergency modes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>распределительная сеть</kwd><kwd>отказоустойчивость</kwd><kwd>реконфигурация</kwd><kwd>восстановление электроснабжения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>distribution network</kwd><kwd>resilience</kwd><kwd>reconfiguration</kwd><kwd>supply restoration</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Lin Yanling, Bie Zhaohong. Tri-level optimal hardening plan for a resilient distribution system considering reconfiguration and DG islanding // Applied Energy. 2018. Vol. 210. P. 1266–1279. https://doi.org/10.1016/j.apenergy.2017.06.059.</mixed-citation><mixed-citation xml:lang="en">Lin Yanling, Bie Zhaohong. Tri-level optimal hardening plan for a resilient distribution system considering reconfiguration and DG islanding. Applied Energy. 2018;210:1266-1279. https://doi.org/10.1016/j.apenergy.2017.06.059.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ding Tao, Lin Yanling, Bie Zhaohong, Chen Chen. A resilient microgrid formation strategy for load restoration considering master-slave distributed generators and topology reconfiguration // Applied Energy. 2017. Vol. 199. P. 205–216. https://doi.org/10.1016/j.apenergy.2017.05.012.</mixed-citation><mixed-citation xml:lang="en">Ding Tao, Lin Yanling, Bie Zhaohong, Chen Chen. A resilient microgrid formation strategy for load restoration considering master-slave distributed generators and topology reconfiguration. Applied Energy. 2017;199:205-216. https://doi.org/10.1016/j.apenergy.2017.05.012.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zu Guoqiang, Xiao Jun, Sun Kai. Mathematical base and deduction of security region for distribution systems with DER // IEEE Transactions on Smart Grid. 2019. Vol. 10. Iss. 3. P. 2892–2903. https://doi.org/10.1109/TSG.2018.2814584.</mixed-citation><mixed-citation xml:lang="en">Zu Guoqiang, Xiao Jun, Sun Kai. Mathematical base and deduction of security region for distribution systems with DER. IEEE Transactions on Smart Grid. 2019;10(3):2892-2903. https://doi.org/10.1109/TSG.2018.2814584.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Успенский М.И., Кызроев И.В. Методы восстановления электроснабжения в распределительных сетях. Сыктывкар: Коми научный центр УрО РАН, 2010. 120с.</mixed-citation><mixed-citation xml:lang="en">Uspensky M.I., Kyzrodev I.V. Power restoration methods in distribution networks. Syktyvkar: Komi Scientific Center of the Ural Branch of the Russian Academy of Sciences; 2010, 120 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Guimaraes M.A.N., Castro C.A., Romero R. Distribution systems operation optimisation through reconfiguration and capacitor allocation by a dedicated genetic algorithm // IET Generation, Transmission &amp; Distribution. 2010. Vol. 4. Iss. 11. P. 1213–1222. https://doi.org/10.1049/ietgtd.2010.0020.</mixed-citation><mixed-citation xml:lang="en">Guimaraes M.A.N., Castro C.A., Romero R. Distribution systems operation optimisation through reconfiguration and capacitor allocation by a dedicated genetic algorithm. IET Generation, Transmission &amp; Distribution. 2010;4(11):1213-1222. https://doi.org/10.1049/iet-gtd.2010.0020.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Abubakar A.S., Ekundayo K.R., Olaniyan A.A. Optimal reconfiguration of radial distribution networks using improved genetic algorithm // Nigerian Journal of Technological Development. 2019. Vol. 16. Iss. 1. P. 10–16. https://doi.org/10.4314/njtd.v16i1.2.</mixed-citation><mixed-citation xml:lang="en">Abubakar A.S., Ekundayo K.R., Olaniyan A.A. Optimal reconfiguration of radial distribution networks using im-proved genetic algorithm. Nigerian Journal of Technological Development. 2019;16(1):10-16.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Pereira B.R.J., Cossi A.M., Contreras J., Mantovani J.R.S. Multiobjective multistage distribution system planning using tabu search // IET Generation, Transmission &amp; Distribution. 2014. Vol. 8. Iss. 1. P. 35-45. https://doi.org/10.1049/iet-gtd.2013.0115.</mixed-citation><mixed-citation xml:lang="en">https://doi.org/10.4314/njtd.v16i1.2.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Abdelaziz A.Y., Osama R.A., El-Khodary S.M. Reconfiguration of distribution systems for loss reduction using the hyper-cube ant colony optimisation algorithm // IET Generation, Transmission &amp; Distribution. 2012. Vol. 6. Iss. 2. P. 176–187. https://doi.org/10.1049/iet-gtd.2011.0281.</mixed-citation><mixed-citation xml:lang="en">Pereira B.R.J., Cossi A.M., Contreras J., Mantovani J.R.S. Multiobjective multistage distribution system planning using tabu search. IET Generation, Transmission &amp; Distribution. 2014;8(1):35-45. https://doi.org/10.1049/iet-gtd.2013.0115.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Chang Chung-Fu. Reconfiguration and capacitor placement for loss reduction of distribution systems by ant colony search algorithm // IEEE Transactions on Power System. 2008. Vol. 23. Iss. 4. P. 1747–1755. https://doi.org/10.1109/TPWRS.2008.2002169.</mixed-citation><mixed-citation xml:lang="en">Abdelaziz A.Y., Osama R.A., El-Khodary S.M. Reconfiguration of distribution systems for loss reduction using the hyper-cube ant colony optimisation algorithm. IET Genera-tion, Transmission &amp; Distribution. 2012;6(2):176-187. https://doi.org /10.1049/iet-gtd.2011.0281.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Kavousi-Fard A., Niknam T., Khooban M.H. Intelligent stochastic framework to solve the reconfiguration problem from the reliability view // IET Science, Measurement &amp; Technology. 2014. Vol. 8. Iss. 5. P. 245–259. https://doi.org/10.1049/iet-smt.2013.0106.</mixed-citation><mixed-citation xml:lang="en">Chang Chung-Fu. Reconfiguration and capacitor placement for loss reduction of distribution systems by ant colony search algorithm. IEEE Transactions on Power System. 2008;23(4):1747-1755. https://doi.org/10.1109/TPWRS.2008.2002169.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Wu Wu-Chang, Tsai Men-Shen. Application of enhanced integer coded particle swarm optimization for distribution system feeder reconfiguration // IEEE Transactions on Power Systems. 2011. Vol. 26. Iss. 3. P. 1591–1599. https://doi.org/10.1109/TPWRS.2010.2094212.</mixed-citation><mixed-citation xml:lang="en">Kavousi-Fard A., Niknam T., Khooban M.H. Intelligent stochastic framework to solve the reconfiguration problem from the reliability view. IET Science, Measurement &amp; Technology. 2014;8(5):245-259. https://doi.org/10.1049/iet-smt.2013.0106.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Minieka E., Dekker M. Optimization algorithms for networks and graphs. New York: John Wiley &amp; Song, 1979. 356 c.</mixed-citation><mixed-citation xml:lang="en">Wu Wu-Chang, Tsai Men-Shen. Application of enhanced integer coded particle swarm optimization for distribution system feeder reconfiguration. IEEE Transactions on Power Systems. 2011;26(3):1591-1599. https://doi.org/ 10.1109/TPWRS.2010.2094212.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Голуб И.И., Войтов О.Н., Болоев Е.В., Семенова Л.В. Алгоритм реконфигурации городской распределительной сети // Известия Российской академии наук. Энергетика. 2020. № 5. C. 3–12. https://doi.org/10.31857/S0002331020050052.</mixed-citation><mixed-citation xml:lang="en">Minieka E., Dekker M. Optimization algorithms for net-works and graphs. New York: John Wiley &amp; Song; 1979, 356 р.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Голуб И.И., Войтов О.Н., Болоев Е.В., Семенова Л.В. Выбор краткосрочной фиксированной конфигурации распределительной сети // Известия высших учебных заведений. Проблемы энергетики. 2018. T. 20. № 9-10. С. 39–51. https://doi.org/10.30724/1998-9903-2018-20-9-10-39-51.</mixed-citation><mixed-citation xml:lang="en">Golub I.I., Vojtov O.N., Boloev E.V., Semenova L.V. Urban distribution network reconfiguration algorithm. Izvestiya Rossijskoj akademii nauk. Energetika = Thermal Engineering. 2020;5:3-12. (In Russ.). https://doi.org/10.31857/S0002331020050052.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang Dong, Fu Zhengcai, Zhang Liuchun. An improved TS algorithm for loss-minimum reconfiguration in large-scale distribution systems // Electric Power Systems Research. 2007. Vol. 77. Iss. 5-6. P. 685–694. https://doi.org/10.1016/j.epsr.2006.06.005.</mixed-citation><mixed-citation xml:lang="en">Golub I.I., Voitov O.N., Boloev E.V., Semenova L.V. Choice of short-term constant configuration of the distribution network. Izvestiâ vysših učebnyh zavedenij. Problemy ènergetiki = Power engineering: research, equipment, tech-nology. 2018;20(9-10):39-51. (In Russ.). https://doi.org/10.30724/1998-9903-2018-20-9-10-39-51.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Гамм А.З., Голуб И.И. Сенсоры и слабые места в электроэнергетических системах. Иркутск: СЭИ СО РАН, 1996. 99 с.</mixed-citation><mixed-citation xml:lang="en">Zhang Dong, Fu Zhengcai, Zhang Liuchun. An im-proved TS algorithm for loss-minimum reconfiguration in large-scale distribution systems. Electric Power Systems Research. 2007;77(5-6):685-694. https://doi.org/10.1016/j.epsr.2006.06.005.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Войтов О.Н., Воропай Н.И., Гамм А.З., Голуб И.И., Ефимов Д.Н. Анализ неоднородностей электроэнергетических систем. Новосибирск: Наука, 256 с.</mixed-citation><mixed-citation xml:lang="en">Gamm A.Z., Golub I.I. Sensors and weak places in electric power systems. Irkutsk: Melentiev Energy Systems Institute SB RAS; 1996, 99 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Агарков О.А., Войтов О.Н., Воропай Н.И., Гамм А.З., Голуб И.И. Два подхода к анализу слабых мест электроэнергетических систем. М.: Высшая школа, 1985. 536 с.</mixed-citation><mixed-citation xml:lang="en">Voitov O.N., Voropai N.I., Gamm A.Z., Golub I.I., Efimov D.N. Analysis of heterogeneities of electric power systems. Novosibirsk: Nauka; 256 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Белов Е.И. Исследование влияния параметров узлов и ветвей на сенсорность элементов электроэнергетической системы // Известия НТЦ Единой энергетической системы. 2018. № 2. C. 88–95.</mixed-citation><mixed-citation xml:lang="en">Agarkov О.А., Voitov O.N., Voropai N.I., Gamm A.Z., Golub I.I. Two approaches to the analysis of weak points of electric power systems. Moscow: Vysshaya shkola; 1985, 536 p. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Белов Е.И., Латманизова Ю.Н., Сорокин Е.В. Применение сингулярного анализа для определения сенсорных по току ветвей в электроэнергетических системах // Электроэнергия. Передача и распределение. 2018. № 4. C. 48–52.</mixed-citation><mixed-citation xml:lang="en">Belov E.I. Influence of nodes’ and branches’ parameters on the sensitivity of a power system’s elements. Izvestiya NTTS Edinoi ehnergeticheskoi sistemy. 2018;2:88-95. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Belov E.I., Latmanizova Yu.N., Sorokin E.V. Singular analysis application for determining sensory branches in electric power systems. Ehlektroehnergiya. Peredacha i raspredelenie. 2018;4:48-52. (In Russ.).</mixed-citation><mixed-citation xml:lang="en">Belov E.I., Latmanizova Yu.N., Sorokin E.V. Singular analysis application for determining sensory branches in electric power systems. Ehlektroehnergiya. Peredacha i raspredelenie. 2018;4:48-52. (In Russ.).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
