<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="edn" pub-id-type="custom">FJGZTV</article-id>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-16185</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/16185</article-id>
      <article-categories>
        <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>Energy industry</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">Forecasting planned electricity consumption for the united power system using machine learning</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Прогнозирование планового потребления электроэнергии для объединенной энергосистемы с помощью машинного обучения</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Klyuev</surname>
            <given-names>Roman V.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Клюев</surname>
              <given-names>Р. В.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Klyuev</surname>
              <given-names>Roman V.</given-names>
            </name>
          </name-alternatives>
          <email>kluev-roman@rambler.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-3777-7203</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Московский политехнический университет (Москва, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Moscow Polytechnic University (Moscow, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>Morgoeva</surname>
            <given-names>Angelika D.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Моргоева</surname>
              <given-names>А. Д.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Morgoeva</surname>
              <given-names>Angelika D.</given-names>
            </name>
          </name-alternatives>
          <email>m.angelika-m@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-2949-1993</contrib-id>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <aff-alternatives id="aff2">
          <aff>
            <institution xml:lang="ru">Северо-Кавказский горно-металлургический институт (государственный технологический университет) (Владикавказ, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">North Caucasian Institute of Mining and Metallurgy (State Technological University) (Vladikavkaz, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Gavrina</surname>
            <given-names>Oksana A.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Гаврина</surname>
              <given-names>О. А.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Gavrina</surname>
              <given-names>Oksana A.</given-names>
            </name>
          </name-alternatives>
          <email>Gavrina-Oksana@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0002-9712-9075</contrib-id>
          <xref ref-type="aff" rid="aff3"/>
        </contrib>
        <aff-alternatives id="aff3">
          <aff>
            <institution xml:lang="ru">Северо-Кавказский горно-металлургический институт (государственный технологический университет) (Владикавказ, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">North Caucasian Institute of Mining and Metallurgy (State Technological University) (Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Bosikov</surname>
            <given-names>Igor I.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Босиков</surname>
              <given-names>И. И.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Bosikov</surname>
              <given-names>Igor I.</given-names>
            </name>
          </name-alternatives>
          <email>igor.boss.777@mail.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0001-8930-4112</contrib-id>
          <xref ref-type="aff" rid="aff4"/>
        </contrib>
        <aff-alternatives id="aff4">
          <aff>
            <institution xml:lang="ru">Северо-Кавказский горно-металлургический институт (государственный технологический университет) (Владикавказ, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">North Caucasian Institute of Mining and Metallurgy (State Technological University) (Vladikavkaz, Russia)</institution>
          </aff>
        </aff-alternatives>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Morgoev</surname>
            <given-names>Irbek D.</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Моргоев</surname>
              <given-names>И. Д.</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Morgoev</surname>
              <given-names>Irbek D.</given-names>
            </name>
          </name-alternatives>
          <email>m.irbek@yandex.ru</email>
          <contrib-id contrib-id-type="orcid">0000-0003-4390-5662</contrib-id>
          <xref ref-type="aff" rid="aff5"/>
        </contrib>
        <aff-alternatives id="aff5">
          <aff>
            <institution xml:lang="ru">Северо-Кавказский горно-металлургический институт (государственный технологический университет) (Владикавказ, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">North Caucasian Institute of mining and metallurgy (State Technological University) (Vladikavkaz, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2023-07-19">
        <day>19</day>
        <month>07</month>
        <year>2023</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2023</year>
      </pub-date>
      <volume>261</volume>
      <fpage>392</fpage>
      <lpage>402</lpage>
      <history>
        <date date-type="received" iso-8601-date="2023-03-14">
          <day>14</day>
          <month>03</month>
          <year>2023</year>
        </date>
        <date date-type="accepted" iso-8601-date="2023-06-20">
          <day>20</day>
          <month>06</month>
          <year>2023</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2023-07-19">
          <day>19</day>
          <month>07</month>
          <year>2023</year>
        </date>
      </history>
      <permissions>
        <copyright-statement xml:lang="ru">© 2023 Р. В. Клюев, А. Д. Моргоева, О. А. Гаврина, И. И. Босиков, И. Д. Моргоев</copyright-statement>
        <copyright-statement xml:lang="en">© 2023 Roman V. Klyuev, Angelika D. Morgoeva, Oksana A. Gavrina, Igor I. Bosikov, Irbek D. Morgoev</copyright-statement>
        <copyright-year>2023</copyright-year>
        <copyright-holder xml:lang="ru">Р. В. Клюев, А. Д. Моргоева, О. А. Гаврина, И. И. Босиков, И. Д. Моргоев</copyright-holder>
        <copyright-holder xml:lang="en">Roman V. Klyuev, Angelika D. Morgoeva, Oksana A. Gavrina, Igor I. Bosikov, Irbek D. Morgoev</copyright-holder>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="ru">
          <license-p>Эта статья доступна по лицензии Creative Commons Attribution 4.0 International (CC BY 4.0)</license-p>
        </license>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0" xml:lang="en">
          <license-p>This article is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0)</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/16185">https://pmi.spmi.ru/pmi/article/view/16185</self-uri>
      <abstract xml:lang="ru">
        <p>Представлены результаты исследований по разработке прогностических моделей по ретроспективным данным о плановом потреблении электроэнергии в регионе со значительной долей предприятий минерально-сырьевого комплекса. Поскольку энергоемкость промышленности остается довольно высокой, актуальна задача по рационализации потребления электроэнергии. Одним из путей повышения точности управления при планировании расходов на электроэнергию является прогнозирование электрических нагрузок. Несмотря на большое количество научных работ по теме прогнозирования электропотребления, данная проблема остается актуальной из-за изменяющихся требований оптового рынка электроэнергии и мощности к точности прогнозов. Поэтому цель настоящего исследования – поддержка управленческих решений в процессе планирования объемов электропотребления. Для этого необходимо создать прогностическую модель и определить перспективное электропотребление энергосистемы. С этой целью проведен сбор и анализ исходных данных, их предобработка, отбор признаков, создание моделей и их оптимизация. Созданные модели основаны на ретроспективных данных о плановом электропотреблении, показателях работы энергосистемы (частоте), а также метеорологических данных. Методы исследований – ансамблевые методы машинного обучения (алгоритмы случайного леса, градиентного бустинга XGBoost и CatBoost), а также модель рекуррентной нейронной сети долгой краткосрочной памяти (LSTM). Полученные модели позволяют с достаточно высокой точностью создавать краткосрочные прогнозы электропотребления (на период от одних суток до недели). Применение моделей, основанных на алгоритмах градиентного бустинга, и моделей нейронных сетей дали прогноз с погрешностью менее 1 %, что позволяет рекомендовать их для применения при прогнозировании планового электропотребления объединенных энергосистем.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>The paper presents the results of studies of the predictive models development based on retrospective data on planned electricity consumption in the region with a significant share of enterprises in the mineral resource complex. Since the energy intensity of the industry remains quite high, the task of rationalizing the consumption of electricity is relevant. One of the ways to improve control accuracy when planning energy costs is to forecast electrical loads. Despite the large number of scientific papers on the topic of electricity consumption forecasting, this problem remains relevant due to the changing requirements of the wholesale electricity and power market to the accuracy of forecasts. Therefore, the purpose of this study is to support management decisions in the process of planning the volume of electricity consumption. To realize this, it is necessary to create a predictive model and determine the prospective power consumption of the power system. For this purpose, the collection and analysis of initial data, their preprocessing, selection of features, creation of models, and their optimization were carried out. The created models are based on historical data on planned power consumption, power system performance (frequency), as well as meteorological data. The research methods were: ensemble methods of machine learning (random forest, gradient boosting algorithms, such as XGBoost and CatBoost) and a long short-term memory recurrent neural network model (LSTM). The models obtained as a result of the conducted studies allow creating short-term forecasts of power consumption with a fairly high precision (for a period from one day to a week). The use of models based on gradient boosting algorithms and neural network models made it possible to obtain a forecast with an error of less than 1 %, which makes it possible to recommend the models described in the paper for use in forecasting the planned electricity power consumption of united power systems.</p>
      </abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>электропотребление</kwd>
        <kwd>прогнозирование</kwd>
        <kwd>градиентный бустинг</kwd>
        <kwd>искусственная нейронная сеть</kwd>
        <kwd>машинное обучение</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>electricity power consumption</kwd>
        <kwd>forecasting</kwd>
        <kwd>gradient boosting</kwd>
        <kwd>artificial neural network</kwd>
        <kwd>machine learning</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">Faria P., Vale Z. Demand Response in Smart Grids // Energies. 2023. Vol. 16. Iss. 2. № 863. DOI: 10.3390/en16020863</mixed-citation>
        <mixed-citation xml:lang="en">Faria P., Vale Z. Demand Response in Smart Grids. Energies. 2023. Vol. 16. Iss. 2. N 863. DOI: 10.3390/en16020863</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">Zhukovskiy Yu.L., Kovalchuk M.S., Batueva D.E., Senchilo N.D. Development of an Algorithm for Regulating the Load Schedule of Educational Institutions Based on the Forecast of Electric Consumption within the Framework of Application of the Demand Response // Sustainability. 2021. Vol. 13. Iss. 24. № 13801. DOI: 10.3390/su132413801</mixed-citation>
        <mixed-citation xml:lang="en">Zhukovskiy Yu.L., Kovalchuk M.S., Batueva D.E., Senchilo N.D. Development of an Algorithm for Regulating the Load Schedule of Educational Institutions Based on the Forecast of Electric Consumption within the Framework of Application of the Demand Response. Sustainability. 2021. Vol. 13. Iss. 24. N 13801. DOI: 10.3390/su132413801</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">Iftikhar H., Bibi N., Canas Rodrigues P., López-Gonzales J.L. Multiple Novel Decomposition Techniques for Time Series Forecasting: Application to Monthly Forecasting of Electricity Consumption in Pakistan // Energies. 2023. Vol. 16. Iss. 6. № 2579. DOI: 10.3390/en16062579</mixed-citation>
        <mixed-citation xml:lang="en">Iftikhar H., Bibi N., Canas Rodrigues P., López-Gonzales J.L. Multiple Novel Decomposition Techniques for Time Series Forecasting: Application to Monthly Forecasting of Electricity Consumption in Pakistan. Energies. 2023. Vol. 16. Iss. 6. N 2579. DOI: 10.3390/en16062579</mixed-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <mixed-citation xml:lang="ru">Almuhaini S.H., Sultana N. Forecasting Long-Term Electricity Consumption in Saudi Arabia Based on Statistical and Machine Learning Algorithms to Enhance Electric Power Supply Management // Energies. 2023. Vol. 16. Iss. 4. № 2035. DOI: 10.3390/en16042035</mixed-citation>
        <mixed-citation xml:lang="en">Almuhaini S.H., Sultana N. Forecasting Long-Term Electricity Consumption in Saudi Arabia Based on Statistical and Machine Learning Algorithms to Enhance Electric Power Supply Management. Energies. 2023. Vol. 16. Iss. 4. N 2035. DOI: 10.3390/en16042035</mixed-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <mixed-citation xml:lang="ru">Weijie Zhou, Huihui Tao, Jiaxin Chang et al. Forecasting Chinese Electricity Consumption Based on Grey Seasonal Model with New Information Priority // Sustainability. 2023. Vol. 15. Iss. 4. № 3521. DOI: 10.3390/su15043521</mixed-citation>
        <mixed-citation xml:lang="en">Weijie Zhou, Huihui Tao, Jiaxin Chang et al. Forecasting Chinese Electricity Consumption Based on Grey Seasonal Model with New Information Priority. Sustainability. 2023. Vol. 15. Iss. 4. N 3521. DOI: 10.3390/su15043521</mixed-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <mixed-citation xml:lang="ru">Sayed H.A., William A., Said A.M. Smart Electricity Meter Load Prediction in Dubai Using MLR, ANN, RF, and ARIMA // Electronics. 2023. Vol. 12. Iss. 2. № 389. DOI: 10.3390/electronics12020389</mixed-citation>
        <mixed-citation xml:lang="en">Sayed H.A., William A., Said A.M. Smart Electricity Meter Load Prediction in Dubai Using MLR, ANN, RF, and ARIMA. Electronics. 2023. Vol. 12. Iss. 2. N 389. DOI: 10.3390/electronics12020389</mixed-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <mixed-citation xml:lang="ru">Lin Pan, Sheng Wang, Jiying Wang et al. Research on Central Air Conditioning Systems and an Intelligent Prediction Model of Building Energy Load // Energies. 2022. Vol. 15. Iss. 24. № 9295. DOI: 10.3390/en15249295</mixed-citation>
        <mixed-citation xml:lang="en">Lin Pan, Sheng Wang, Jiying Wang et al. Research on Central Air Conditioning Systems and an Intelligent Prediction Model of Building Energy Load. Energies. 2022. Vol. 15. Iss. 24. N 9295. DOI: 10.3390/en15249295</mixed-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <mixed-citation xml:lang="ru">Alsharekh M.F., Habib S., Dewi D.A. et al. Improving the Efficiency of Multistep Short-Term Electricity Load Forecasting via R-CNN with ML-LSTM // Sensors. 2022. Vol. 22. Iss. 18. № 6913. DOI: 10.3390/s22186913</mixed-citation>
        <mixed-citation xml:lang="en">Alsharekh M.F., Habib S., Dewi D.A. et al. Improving the Efficiency of Multistep Short-Term Electricity Load Forecasting via R-CNN with ML-LSTM. Sensors. 2022. Vol. 22. Iss. 18. N 6913. DOI: 10.3390/s22186913</mixed-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <mixed-citation xml:lang="ru">Poczeta K., Papageorgiou E.I. Energy Use Forecasting with the Use of a Nested Structure Based on Fuzzy Cognitive Maps and Artificial Neural Networks // Energies. 2022. Vol. 15. Iss. 20. № 7542. DOI: 10.3390/en15207542</mixed-citation>
        <mixed-citation xml:lang="en">Poczeta K., Papageorgiou E.I. Energy Use Forecasting with the Use of a Nested Structure Based on Fuzzy Cognitive Maps and Artificial Neural Networks. Energies. 2022. Vol. 15. Iss. 20. N 7542. DOI: 10.3390/en15207542</mixed-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <mixed-citation xml:lang="ru">Вялкова С.А., Надтока И.И. Анализ шумовой составляющей суточных графиков активной мощности энергосистемы и метеофакторов при краткосрочном прогнозировании // Интеллектуальная электротехника. 2018. № 4. С. 25-34. DOI: 10.46960/2658-6754_2018_4_25</mixed-citation>
        <mixed-citation xml:lang="en">Vyalkova S.A., Nadtoka I.I. Analysis of the noise component of the daily schedules of active power energy systems and meteofactors at short-term forecasting. Smart Electrical Engineering. 2018. N 4, p. 25-34 (in Russian). DOI: 10.46960/2658-6754_2018_4_25</mixed-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <mixed-citation xml:lang="ru">Yotov K., Hadzhikolev E., Hadzhikoleva S., Cheresharov S. Neuro-Cybernetic System for Forecasting Electricity Consumption in the Bulgarian National Power System // Sustainability. 2022. Vol. 14. Iss. 17. № 11074. DOI: 10.3390/su141711074</mixed-citation>
        <mixed-citation xml:lang="en">Yotov K., Hadzhikolev E., Hadzhikoleva S., Cheresharov S. Neuro-Cybernetic System for Forecasting Electricity Consumption in the Bulgarian National Power System. Sustainability. 2022. Vol. 14. Iss. 17. N 11074. DOI: 10.3390/su141711074</mixed-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <mixed-citation xml:lang="ru">Xin Hu, Keyi Li, Jingfu Li et al. Load forecasting model consisting of data mining based orthogonal greedy algorithm and long short-term memory network // Energy Reports. 2022. Vol. 8. S. 5. P. 235-242. DOI: 10.1016/j.egyr.2022.02.110</mixed-citation>
        <mixed-citation xml:lang="en">Xin Hu, Keyi Li, Jingfu Li et al. Load forecasting model consisting of data mining based orthogonal greedy algorithm and long short-term memory network. Energy Reports. 2022. Vol. 8. S. 5, p. 235-242. DOI: 10.1016/j.egyr.2022.02.110</mixed-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <mixed-citation xml:lang="ru">Klyuev R.V., Morgoev I.D., Morgoeva A.D. et al. Methods of Forecasting Electric Energy Consumption: A Literature Review // Energies. 2022. Vol. 15. Iss. 23. № 8919. DOI: 10.3390/en15238919</mixed-citation>
        <mixed-citation xml:lang="en">Klyuev R.V., Morgoev I.D., Morgoeva A.D. et al. Methods of Forecasting Electric Energy Consumption: A Literature Review. Energies. 2022. Vol. 15. Iss. 23. N 8919. DOI: 10.3390/en15238919</mixed-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <mixed-citation xml:lang="ru">Мохов В.Г., Демьяненко Т.С. Прогнозирование потребления электрической энергии на оптовом рынке электроэнергии и мощности // Вестник Южно-Уральского государственного университета. Серия: Экономика и менеджмент. 2014. Т. 8. № 2. С. 86-92.</mixed-citation>
        <mixed-citation xml:lang="en">Mokhov V.G., Demyanenko T.S. Forecasting of consumption of electric energy on the wholesale market of energy and power. Bulletin of the South Ural State University Series “Economics and Management”. 2014. Vol. 8. N 2, p. 86-92 (in Russian).</mixed-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <mixed-citation xml:lang="ru">Карпенко С.М., Карпенко Н.В., Безгинов Г.Ю. Прогнозирование электропотребления на горнопромышленных предприятиях с использованием статистических методов // Горная промышленность. 2022. № 1. С. 82-88. DOI: 10.30686/1609-9192-2022-1-82-88</mixed-citation>
        <mixed-citation xml:lang="en">Karpenko S.M., Karpenko N.V., Bezginov G.Y. Forecasting of power consumption at mining enterprises using statistical methods. Russian Mining Industry. 2022. N 1, p. 82-88 (in Russian). DOI: 10.30686/1609-9192-2022-1-82-88</mixed-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <mixed-citation xml:lang="ru">Полуянович Н.К., Дубяго М.Н. Оценка воздействующих факторов и прогнозирование электропотребления в региональной энергосистеме с учетом режима ее эксплуатации // Известия ЮФУ. Технические науки. 2022. № 2. С. 31-46. DOI: 10.18522/2311-3103-2022-2-31-46</mixed-citation>
        <mixed-citation xml:lang="en">Poluyanovich N.K., Dubyago М.N. Assessment of influencing factors and forecasting of power consumption in the regional power system, taking into account its operating mode. Izvestiya SFedU. Engineering sciences. 2022. N 2, p. 31-46 (in Russian). DOI: 10.18522/2311-3103-2022-2-31-46</mixed-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <mixed-citation xml:lang="ru">Geunsub Kim, Gunwoo Lee, Seunghyun An, Joowon Lee. Forecasting future electric power consumption in Busan New Port using a deep learning model // The Asian Journal of Shipping and Logistics. 2023. Vol. 39. Iss. 2. P. 78-93. DOI: 10.1016/j.ajsl.2023.04.001</mixed-citation>
        <mixed-citation xml:lang="en">Geunsub Kim, Gunwoo Lee, Seunghyun An, Joowon Lee. Forecasting future electric power consumption in Busan New Port using a deep learning model. The Asian Journal of Shipping and Logistics. 2023. Vol. 39. Iss. 2, p. 78-93. DOI: 10.1016/j.ajsl.2023.04.001</mixed-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <mixed-citation xml:lang="ru">Ribeiro M.H.D.M., Gomes da Silva R., Ribeiro G.T. et al. Cooperative ensemble learning model improves electric short-term load forecasting // Chaos, Solitons &amp; Fractals. 2023. Vol. 166. № 112982. DOI: 10.1016/j.chaos.2022.112982</mixed-citation>
        <mixed-citation xml:lang="en">Ribeiro M.H.D.M., Gomes da Silva R., Ribeiro G.T. et al. Cooperative ensemble learning model improves electric short-term load forecasting. Chaos, Solitons &amp; Fractals. 2023. Vol. 166. N 112982. DOI: 10.1016/j.chaos.2022.112982</mixed-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <mixed-citation xml:lang="ru">Hadjout D., Torres J.F., Troncoso A. et al. Electricity consumption forecasting based on ensemble deep learning with application to the Algerian market // Energy. 2022. Vol. 243. № 123060. DOI: 10.1016/j.energy.2021.123060</mixed-citation>
        <mixed-citation xml:lang="en">Hadjout D., Torres J.F., Troncoso A. et al. Electricity consumption forecasting based on ensemble deep learning with application to the Algerian market. Energy. 2022. Vol. 243. N 123060. DOI: 10.1016/j.energy.2021.123060</mixed-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <mixed-citation xml:lang="ru">Min Cao, Jinfeng Wang, Xiaochen Sun et al. Short-Term and Medium-Term Electricity Sales Forecasting Method Based on Deep Spatio-Temporal Residual Network // Energies. 2022. Vol. 15. Iss. 23. № 8844. DOI: 10.3390/en15238844</mixed-citation>
        <mixed-citation xml:lang="en">Min Cao, Jinfeng Wang, Xiaochen Sun et al. Short-Term and Medium-Term Electricity Sales Forecasting Method Based on Deep Spatio-Temporal Residual Network. Energies. 2022. Vol. 15. Iss. 23. N 8844. DOI: 10.3390/en15238844</mixed-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <mixed-citation xml:lang="ru">Senchilo N.D., Ustinov D.A. Method for Determining the Optimal Capacity of Energy Storage Systems with a Long-Term Forecast of Power Consumption // Energies. 2021. Vol. 14. № 21. № 7098. DOI: 10.3390/en14217098</mixed-citation>
        <mixed-citation xml:lang="en">Senchilo N.D., Ustinov D.A. Method for Determining the Optimal Capacity of Energy Storage Systems with a Long-Term Forecast of Power Consumption. Energies. 2021. Vol. 14. N 21. N 7098. DOI: 10.3390/en14217098</mixed-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <mixed-citation xml:lang="ru">Habbak H., Mahmoud M., Metwally K. et al. Load Forecasting Techniques and Their Applications in Smart Grids // Energies. 2023. Vol. 16. Iss. 3. № 1480. DOI: 10.3390/en16031480</mixed-citation>
        <mixed-citation xml:lang="en">Habbak H., Mahmoud M., Metwally K. et al. Load Forecasting Techniques and Their Applications in Smart Grids. Energies. 2023. Vol. 16. Iss. 3. N 1480. DOI: 10.3390/en16031480</mixed-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <mixed-citation xml:lang="ru">Szczepaniuk H., Szczepaniuk E.K. Applications of Artificial Intelligence Algorithms in the Energy Sector // Energies. 2023. Vol. 16. Iss. 1. № 347. DOI: 10.3390/en16010347</mixed-citation>
        <mixed-citation xml:lang="en">Szczepaniuk H., Szczepaniuk E.K. Applications of Artificial Intelligence Algorithms in the Energy Sector. Energies. 2023. Vol. 16. Iss. 1. N 347. DOI: 10.3390/en16010347</mixed-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <mixed-citation xml:lang="ru">Моргоева А.Д., Моргоев И.Д., Клюев Р.В., Гаврина О.А. Прогнозирование потребления электрической энергии промышленным предприятием с помощью методов машинного обучения // Известия Томского политехнического университета. Инжиниринг георесурсов. 2022. Т. 333. № 7. С. 115-125. DOI: 10.18799/24131830/2022/7/3527</mixed-citation>
        <mixed-citation xml:lang="en">Morgoeva A.D., Morgoev I.D., Klyuev R.V., Gavrina O.A. Forecasting of electric energy consumption by an industrial enterprise using machine learning methods. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering. 2022. Vol. 333. N 7, p. 115-125 (in Russian). DOI: 10.18799/24131830/2022/7/3527</mixed-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <mixed-citation xml:lang="ru">Вялкова С.А., Моргоева А.Д., Гаврина О.А. Разработка гибридной модели прогнозирования потребления электрической энергии для горно-металлургического предприятия // Устойчивое развитие горных территорий. 2022. Т. 14. № 3 (53). С. 486-493. DOI: 10.21177/1998-4502-2022-14-3-486-493</mixed-citation>
        <mixed-citation xml:lang="en">Vyalkova S.A., Morgoeva A.D., Gavrina O.A. Development of a hybrid model for predicting the consumption of electrical energy for a mining and metallurgical enterprise. Sustainable development of mountain territories. 2022. Vol. 14. N 3 (53), p. 486-493 (in Russian). DOI: 10.21177/1998-4502-2022-14-3-486-493</mixed-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <mixed-citation xml:lang="ru">Yuhan Xie, Yunfei Yang, Lifeng Wu. Power Consumption Forecast of Three Major Industries in China Based on Fractional Grey Model // Axioms. 2022. Vol. 11. Iss. 8. № 407. DOI: 10.3390/axioms11080407</mixed-citation>
        <mixed-citation xml:lang="en">Yuhan Xie, Yunfei Yang, Lifeng Wu. Power Consumption Forecast of Three Major Industries in China Based on Fractional Grey Model. Axioms. 2022. Vol. 11. Iss. 8. N 407. DOI: 10.3390/axioms11080407</mixed-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <mixed-citation xml:lang="ru">Qingyong Zhang, Changwu Li, Conghui Yin et al. A Hybrid Framework Model Based on Wavelet Neural Network with Improved Fruit Fly Optimization Algorithm for Traffic Flow Prediction // Symmetry. 2022. Vol. 14. Iss. 7. № 1333. DOI: 10.3390/sym14071333</mixed-citation>
        <mixed-citation xml:lang="en">Qingyong Zhang, Changwu Li, Conghui Yin et al. A Hybrid Framework Model Based on Wavelet Neural Network with Improved Fruit Fly Optimization Algorithm for Traffic Flow Prediction. Symmetry. 2022. Vol. 14. Iss. 7. N 1333. DOI: 10.3390/sym14071333</mixed-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <mixed-citation xml:lang="ru">Zichao He, Chunna Zhao, Yaqun Huang. Multivariate Time Series Deep Spatiotemporal Forecasting with Graph Neural Network // Applied Sciences. 2022. Vol. 12. Iss. 11. № 5731. DOI: 10.3390/app12115731</mixed-citation>
        <mixed-citation xml:lang="en">Zichao He, Chunna Zhao, Yaqun Huang. Multivariate Time Series Deep Spatiotemporal Forecasting with Graph Neural Network. Applied Sciences. 2022. Vol. 12. Iss. 11. N 5731. DOI: 10.3390/app12115731</mixed-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <mixed-citation xml:lang="ru">Qiang Xiao, Hongshuang Wang. Prediction of WEEE Recycling in China Based on an Improved Grey Prediction Model // Sustainability. 2022. Vol. 14. Iss. 11. № 6789. DOI: 10.3390/su14116789</mixed-citation>
        <mixed-citation xml:lang="en">Qiang Xiao, Hongshuang Wang. Prediction of WEEE Recycling in China Based on an Improved Grey Prediction Model. Sustainability. 2022. Vol. 14. Iss. 11. N 6789. DOI: 10.3390/su14116789</mixed-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <mixed-citation xml:lang="ru">Narwariya J., Verma C., Malhotra P. et al. Electricity Consumption Forecasting for Out-of-Distribution Time-of-Use Tariffs // Computer Sciences &amp; Mathematics Forum. 2022. Vol. 3. Iss. 1. № 1. DOI: 10.3390/cmsf2022003001</mixed-citation>
        <mixed-citation xml:lang="en">Narwariya J., Verma C., Malhotra P. et al. Electricity Consumption Forecasting for Out-of-Distribution Time-of-Use Tariffs. Computer Sciences &amp; Mathematics Forum. 2022. Vol. 3. Iss. 1. N 1. DOI: 10.3390/cmsf2022003001</mixed-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <mixed-citation xml:lang="ru">Frikha M., Taouil K., Fakhfakh A., Derbel F. Limitation of Deep-Learning Algorithm for Prediction of Power Consumption // Engineering Proceedings. 2022. Vol. 18. Iss. 1. № 26. DOI: 10.3390/engproc2022018026</mixed-citation>
        <mixed-citation xml:lang="en">Frikha M., Taouil K., Fakhfakh A., Derbel F. Limitation of Deep-Learning Algorithm for Prediction of Power Consumption. Engineering Proceedings. 2022. Vol. 18. Iss. 1. N 26. DOI: 10.3390/engproc2022018026</mixed-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <mixed-citation xml:lang="ru">Жуковский Ю.Л., Семенюк А.В., Алиева Л.З., Арапова Е.Г. Цифровые платформы на основе блокчейн для снижения углеродного следа горных предприятий // Горный информационно-аналитический бюллетень. 2022. № 6-1. С. 361-378. DOI: 10.25018/0236_1493_2022_61_0_361</mixed-citation>
        <mixed-citation xml:lang="en">Zhukovskiy Y.L., Semenyuk A.V., Alieva L.Z., Arapova E.G. Blockchain-based digital plat-forms to reduce the carbon footprint of mining. Mining Informational and Analytical Bulletin. 2022. N 6-1, p. 361-378 (in Russian). DOI: 10.25018/0236_1493_2022_61_0_361</mixed-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <mixed-citation xml:lang="ru">Senchilo N., Babanova I. Improving the Energy Efficiency of Electricity Distribution in the Mining Industry Using Distributed Generation by Forecasting Energy Consumption Using Machine Learning // International Multi-Conference on Industrial Engineering and Modern Technologies (Far East Con), 06-09 October 2020, Vladivostok, Russia. IEEE, 2020. P. 1-7. DOI: 10.1109/FarEastCon50210.2020.9271335</mixed-citation>
        <mixed-citation xml:lang="en">Senchilo N., Babanova I. Improving the Energy Efficiency of Electricity Distribution in the Mining Industry Using Distributed Generation by Forecasting Energy Consumption Using Machine Learning. International Multi-Conference on Industrial Engineering and Modern Technologies (Far East Con), 06-09 October 2020, Vladivostok, Russia. IEEE, 2020, p. 1-7. DOI: 10.1109/FarEastCon50210.2020.9271335</mixed-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <mixed-citation xml:lang="ru">Aguiar-Pérez J.M., Pérez-Juárez M.Á. An Insight of Deep Learning Based Demand Forecasting in Smart Grids // Sensors. 2023. Vol. 23. Iss. 3. № 1467. DOI: 10.3390/s23031467</mixed-citation>
        <mixed-citation xml:lang="en">Aguiar-Pérez J.M., Pérez-Juárez M.Á. An Insight of Deep Learning Based Demand Forecasting in Smart Grids. Sensors. 2023. Vol. 23. Iss. 3. N 1467. DOI: 10.3390/s23031467</mixed-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <mixed-citation xml:lang="ru">Shklyarskiy J.E., Batueva D.E. The influence of external climatic factors on the accuracy of the forecast of energy consumption // E3S Web of Conferences. 2019. Vol. 140. № 04014. DOI: 10.1051/e3sconf/201914004014</mixed-citation>
        <mixed-citation xml:lang="en">Shklyarskiy J.E., Batueva D.E. The influence of external climatic factors on the accuracy of the forecast of energy consumption. E3S Web of Conferences. 2019. Vol. 140. N 04014. DOI: 10.1051/e3sconf/201914004014</mixed-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <mixed-citation xml:lang="ru">Aseeri A.O. Effective RNN-Based Forecasting Methodology Design for Improving Short-Term Power Load Forecasts: Application to Large-Scale Power-Grid Time Series // Journal of Computational Science. 2023. Vol. 68. № 101984. DOI: 10.1016/j.jocs.2023.101984</mixed-citation>
        <mixed-citation xml:lang="en">Aseeri A.O. Effective RNN-Based Forecasting Methodology Design for Improving Short-Term Power Load Forecasts: Application to Large-Scale Power-Grid Time Series. Journal of Computational Science. 2023. Vol. 68. N 101984. DOI: 10.1016/j.jocs.2023.101984</mixed-citation>
      </ref>
      <ref id="ref37">
        <label>37</label>
        <mixed-citation xml:lang="ru">Мохов В.Г., Демьяненко Т.С. Определение значимых факторов при прогнозировании объема потребления электроэнергии по объединенной энергосистеме Урала на основе регрессионного анализа // Вестник УрФУ. Серия: Экономика и управление. 2017. Т. 16. № 4. С. 642-662. DOI: 10.15826/vestnik.2017.16.4.031</mixed-citation>
        <mixed-citation xml:lang="en">Mokhov V.G., Demyanenko T.S. Definition of the significant factors for consumption volume forecasting of the electric energies for the united energy system of the Ural based on regression analysis. Bulletin of Ural Federal University. Series Economics and Management. 2017. Vol. 16. N 4, p. 642-662 (in Russian). DOI: 10.15826/vestnik.2017.16.4.031</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
