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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Bulletin of the Russian Academy of Sciences. Energetics</journal-id><journal-title-group><journal-title xml:lang="en">Bulletin of the Russian Academy of Sciences. Energetics</journal-title><trans-title-group xml:lang="ru"><trans-title>Известия Российской академии наук. Энергетика</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0002-3310</issn><issn publication-format="electronic">3034-6495</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">690867</article-id><article-id pub-id-type="doi">10.31857/S0002331025040022</article-id><article-id pub-id-type="edn">lhewlc</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Justification of the Development Paths of the Gas Transportation Network in Emergency Situations in the Gas Industry</article-title><trans-title-group xml:lang="ru"><trans-title>Обоснование путей развития газотранспортной сети в условиях ЧС в газовой отрасли</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Senderov</surname><given-names>S. M.</given-names></name><name xml:lang="ru"><surname>Сендеров</surname><given-names>С. М.</given-names></name></name-alternatives><email>seregavorobev@isem.irk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Khamisov</surname><given-names>O. V.</given-names></name><name xml:lang="ru"><surname>Хамисов</surname><given-names>О. В.</given-names></name></name-alternatives><email>seregavorobev@isem.irk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Vorobev</surname><given-names>S. V.</given-names></name><name xml:lang="ru"><surname>Воробьев</surname><given-names>С. В.</given-names></name></name-alternatives><email>seregavorobev@isem.irk.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Danilov</surname><given-names>G. K.</given-names></name><name xml:lang="ru"><surname>Данилов</surname><given-names>Г. К.</given-names></name></name-alternatives><email>seregavorobev@isem.irk.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Melentyev Energy Systems Institute</institution></aff><aff><institution xml:lang="ru">Федеральное государственное бюджетное учреждение науки Институт систем энергетики им. Л. А. Мелентьева Сибирского отделения Российской академии наук</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-08-15" publication-format="electronic"><day>15</day><month>08</month><year>2025</year></pub-date><issue>4</issue><issue-title xml:lang="en">NO4 (2025)</issue-title><issue-title xml:lang="ru">№4 (2025)</issue-title><fpage>16</fpage><lpage>27</lpage><history><date date-type="received" iso-8601-date="2025-09-21"><day>21</day><month>09</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Российская академия наук</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0002-3310/article/view/690867">https://journals.eco-vector.com/0002-3310/article/view/690867</self-uri><abstract xml:lang="en"><p>The existing structure of the gas transportation network of Russia is characterized by the presence of critically important objects, the loss of operability of which cannot be compensated by any of the previously considered measures. Therefore, it is necessary to justify the development of the gas transportation network with the creation of additional gas transportation capacities outside the arcs of the existing graph. This problem can be solved by segmenting the existing network into simple polygons with the possibility of creating arcs connecting previously unconnected nodes, i. e. polygons starting with a quadrangle are of interest. The specific cost of creating such arcs, in the first approximation, is an order of magnitude higher than the specific cost of creating additional arcs in the existing corridors of main gas pipelines. The authors of the article propose a mathematical model for solving this problem. The results of the study on the aggregated calculation scheme of the gas transportation network of Russia are presented, conclusions are made on the operability of the proposed approach.</p></abstract><trans-abstract xml:lang="ru"><p>Для сложившейся структуры газотранспортной сети России характерно наличие критически важных объектов, потеря работоспособности которых не может быть компенсирована ни одним из рассматриваемых ранее мероприятий. Поэтому необходимо обоснование развития газотранспортной сети с созданием дополнительных газотранспортных мощностей вне дуг существующего графа. Данная задача может решаться путем сегментирования существующей сети на простые многоугольники с возможностью создания дуг, соединяющих ранее не связанные узлы, т. е. интересны многоугольники, начиная с четырехугольника. Удельная стоимость создания таких дуг в первом приближении на порядок выше удельной стоимости создания дополнительных дуг в существующих коридорах магистральных газопроводов. Авторами статьи предложена математическая модель для решения этой задачи. Представлены результаты исследования на агрегированной расчетной схеме газотранспортной сети России, сделаны выводы о работоспособности предложенного подхода.</p></trans-abstract><kwd-group xml:lang="en"><kwd>gas industry</kwd><kwd>critical facilities</kwd><kwd>gas shortages</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>газовая отрасль</kwd><kwd>критически важные объекты</kwd><kwd>дефициты газа</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Аварии на магистральных газопроводах в России в 2018–2019 годах. https://ria.ru/ 20190728/1556953028.html</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Топ-5 самых крупных и разрушительных аварий на газопроводах. https://sila-sibiri-rabota.ru/ avarii-na-gazoprovodax</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Сендеров С.М., Рабчук В.И., Еделев А.В. Особенности формирования перечня критически важных объектов газотранспортной сети России с учетом требований энергетической безопасности и возможные меры минимизации негативных последствий от чрезвычайных ситуаций на таких объектах / Известия Российской академии наук. Энергетика, 2016, № 1. С. 70–78.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Senderov S., Edelev A. Formation of a list of critical facilities in the gas transportation system of Russia in terms of energy security / Energy, 2017. https://doi.org/10.1016/J.ENERGY.2017.11.063</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Vorobev S., Edelev A. Analysis of the importance of critical objects of the gas industry with the method of determining critical elements in networks of technical infrastructures / Management of Large-Scale System Development (MLSD), 2017 Tenth International Conference. IEEE, 2017. https://doi.org/10.1109/MLSD.2017.8109707</mixed-citation></ref><ref id="B6"><label>6.</label><mixed-citation>Vorobev S., Edelev A., Smirnova E. Search of critically important objects of the gas industry with the method of determining critical elements in networks of technical infrastructures / Methodological Problems in Reliability Study of Large Energy Systems (RSES2017). E3S Web Conf. Volume 25, 2017. https://doi.org/10.1051/e3sconf/20172501004</mixed-citation></ref><ref id="B7"><label>7.</label><mixed-citation>Senderov S., Krupenev D. Energy security and critical facilities of energy systems: methodology and practice of their identification on the example of Russia's gas and electric power industries, Energy Systems Research. 2019. Т. 2. № 2 (6). P. 41–50.</mixed-citation></ref><ref id="B8"><label>8.</label><mixed-citation>Крупенев Д.С. Принципы определения критически важных объектов электроэнергетических систем / Методические вопросы исследования надежности больших систем энергетики. Международный научный семинар им. Ю.Н. Руденко: В 2-х книгах. Отв. редактор Воропай Н.И., 2018. С. 329–337.</mixed-citation></ref><ref id="B9"><label>9.</label><mixed-citation>Krupenev D., Boyarkin D., Iakubovskii D. Improvement in the computational efficiency of a technique for assessing the reliability of electric power systems based on the Monte Carlo method, Reliability Engineering &amp; System Safety. 2020. Т. 204.</mixed-citation></ref><ref id="B10"><label>10.</label><mixed-citation>Senderov S., Vorobev S., Edelev A. Search of critically important combinations of objects of the gas industry from the positions of the system operability / Rudenko International Conference “Methodological problems in reliability study of large energy systems” (RSES2018). E3S Web Conf. Volume 58, 2018. https://doi.org/10.1051/e3sconf/20185803002</mixed-citation></ref><ref id="B11"><label>11.</label><mixed-citation>Sesini M., Giarola S., Hawkes A.D. The impact of liquefied natural gas and storage on the EU natural gas infrastructure resilience, Energy, Volume 209, 2020, 118367. https://doi.org/10.1016/j.energy.2020.118367</mixed-citation></ref><ref id="B12"><label>12.</label><mixed-citation>Jiang Q., Cai B., Zhang Y., Xie M., Liu C. Resilience assessment methodology of natural gas network system under random leakage. Reliability Engineering &amp; System Safety, Volume 234, 2023, 109134. https://doi.org/10.1016/j.ress.2023.109134</mixed-citation></ref><ref id="B13"><label>13.</label><mixed-citation>Yu W., Song S., Li Y., Min Y., Huang W., Wen K., Gong J. Gas supply reliability assessment of natural gas transmission pipeline systems. Energy 2018, 162, p. 853–870.</mixed-citation></ref><ref id="B14"><label>14.</label><mixed-citation>Chi L., Su H., Zio E., Qadrdan M., Zhou J., Zhang L., Fan L., Yang Z., Xie F., Zuo L., Zhang J. A systematic framework for the assessment of the reliability of energy supply in Integrated Energy Systems based on a quasi-steady-state model. Energy, Volume 263, Part B, 2023, 125740. https://doi.org/10.1016/j.energy.2022.125740</mixed-citation></ref><ref id="B15"><label>15.</label><mixed-citation>Chi L., Su H., Zio E., Qadrdan M., Li X., Zhang L., Fan L., Zhou J., Yang Z., Zhang J. Data-driven reliability assessment method of Integrated Energy Systems based on probabilistic deep learning and Gaussian mixture Model-Hidden Markov Model. Renewable Energy. Volume 174, 2021, p. 952–970. https://doi.org/10.1016/j.renene.2021.04.102</mixed-citation></ref><ref id="B16"><label>16.</label><mixed-citation>Yu W., Huang W., Wen Y., Li Y., Liu H., Wen K., Gong J., Lu Y. An integrated gas supply reliability evaluation method of the large-scale and complex natural gas pipeline network based on demand-side analysis, Reliability Engineering &amp; System Safety, Volume 212, 2021, 107651. https://doi.org/10.1016/j.ress.2021.107651</mixed-citation></ref><ref id="B17"><label>17.</label><mixed-citation>Thompson J.R., Frezza D., Necioglu B., Cohen M.L., Hoffman K., Rosfjord K. (2019). Interdependent Critical Infrastructure Model (ICIM): An agent-based model of power and water infrastructure. International Journal of Critical Infrastructure Protection. Volume 24, p. 144–165.</mixed-citation></ref><ref id="B18"><label>18.</label><mixed-citation>Kai L., Ming W., Weihua Z., Jinshan W., Xiaoyong Y. (2018). Vulnerability analysis of an urban gas pipeline network considering pipeline-road dependency. International Journal of Critical Infrastructure Protection Volume 23, p. 79–89.</mixed-citation></ref><ref id="B19"><label>19.</label><mixed-citation>Tichy L. (2019). Energy infrastructure as a target of terrorist attacks from the islamic state in Iraq and Syria. International Journal of Critical Infrastructure Protection. https://doi.org/10.1016/ j.ijcip.2019.01.003</mixed-citation></ref><ref id="B20"><label>20.</label><mixed-citation>Tsavdaroglou M., Al-Jibouri S.H.S., Bles T., Halman, J.I.M. (2018). Proposed methodology for risk analysis of interdependent critical infrastructures to extreme weather events. International Journal of Critical Infrastructure Protection Volume 21, p. 57–71.</mixed-citation></ref><ref id="B21"><label>21.</label><mixed-citation>Praks P., Kopustinskas V. (2019). Node importance analysis of a gas transmission network with evaluation of a new infrastructure by ProGasNet. CRITIS2018, LNCS11260, pp. 3–16, 2019. https://doi.org/10.1007/978-3-030-05849-4_1</mixed-citation></ref><ref id="B22"><label>22.</label><mixed-citation>Zio E., 2016. Challenges in the vulnerability and risk analysis of critical infrastructures. Reliability Engineering &amp; System Safety, 152, pp. 137–150.</mixed-citation></ref><ref id="B23"><label>23.</label><mixed-citation>Zio E., 2009. Reliability engineering: Old problems and new challenges. Reliability Engineering &amp; System Safety, 94(2), pp. 125–141.</mixed-citation></ref><ref id="B24"><label>24.</label><mixed-citation>Apostolakis G.E., 2004. How useful is quantitative risk assessment? Risk analysis, 24(3), pp. 515–520.</mixed-citation></ref><ref id="B25"><label>25.</label><mixed-citation>Liu H., Davidson R.A. and Apanasovich T.V., 2008. Spatial generalized linear mixed models of electric power outages due to hurricanes and ice storms. Reliability Engineering &amp; System Safety, 93(6), pp. 897–912.</mixed-citation></ref><ref id="B26"><label>26.</label><mixed-citation>Cuadra L., Salcedo-Sanz S., Del Ser J., Jiménez-Fernández S. and Geem Z.W., 2015. A critical review of robustness in power grids using complex networks concepts. Energies, 8(9), pp. 9211–9265.</mixed-citation></ref><ref id="B27"><label>27.</label><mixed-citation>Ouyang M., 2014. Review on modeling and simulation of interdependent critical infrastructure systems. Reliability engineering &amp; System safety, 121, pp. 43–60.</mixed-citation></ref><ref id="B28"><label>28.</label><mixed-citation>Wang S., Hong L. and Chen X., 2012. Vulnerability analysis of interdependent infrastructure systems: A methodological framework. Physica A: Statistical Mechanics and its applications, 391(11), pp. 3323–3335.</mixed-citation></ref><ref id="B29"><label>29.</label><mixed-citation>Johansson J., Hassel H. Modelling, simulation and vulnerability analysis of interdependent technical infrastructures. pp. 49–66 in Hokstad P, Utne IB, Vatn J (eds). Risk and Interdependencies in Critical Infrastructures: A Guideline for Analysis. London: Springer-Verlag, 2012.</mixed-citation></ref><ref id="B30"><label>30.</label><mixed-citation>Экспорт Российской Федерации важнейших товаров в 2012–2023 году (по данным ФТС России) http://customs.ru/index.php?option=com_newsfts&amp;view=category&amp;id=52&amp;Item id=1978&amp;limitstart=60</mixed-citation></ref><ref id="B31"><label>31.</label><mixed-citation>ИнфоТЭК Ежемесячный нефтегазовый журнал. № 1, 2022 г. С. 150.</mixed-citation></ref><ref id="B32"><label>32.</label><mixed-citation>Министерство энергетики Российской Федерации. Статистика. http://minenergo.gov.ru/activity/statistic</mixed-citation></ref></ref-list></back></article>
