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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">energy</journal-id><journal-title-group><journal-title xml:lang="ru">Энергетика. Известия высших учебных заведений и энергетических объединений СНГ</journal-title><trans-title-group xml:lang="en"><trans-title>ENERGETIKA. Proceedings of CIS higher education institutions and power engineering associations</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1029-7448</issn><issn pub-type="epub">2414-0341</issn><publisher><publisher-name>BNTU</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21122/1029-7448-2023-66-5-405-422</article-id><article-id custom-type="elpub" pub-id-type="custom">energy-2307</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>ЭЛЕКТРОЭНЕРГЕТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRICAL POWER ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Моделирование функционального взаимодействия блоков гибридного накопителя электроэнергии</article-title><trans-title-group xml:lang="en"><trans-title>Modelling of Functional Interaction of Hybrid Energy Storage System Battery Units</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>Добрего</surname><given-names>К. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Dobrego</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Адрес для переписки:Добрего Кирилл Викторович –Белорусский национальный технический университет,пр-т Независимости, 65/2,220013, г. Минск, Республика Беларусь.Тел.: +375 17 293-92-16dobrego@bntu.by</p></bio><bio xml:lang="en"><p>Address for correspondence:Dobrego Kirill V.–Belаrusian National Technical University,65/2, Nezavisimosty Ave.,220013, Minsk, Republic of Belarus.Tel.: +375 17 293-92-16 dobrego@bntu.by</p></bio><email xlink:type="simple">dobrego@bntu.by</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>Козначеев</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Koznacheev</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>г. Минск</p></bio><bio xml:lang="en"><p>Minsk</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Белорусский национальный технический университет</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>Belarusian National Technical University</institution><country>Belarus</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт тепло- и массообмена имени А. В. Лыкова   Национальной академии наук Беларуси</institution><country>Беларусь</country></aff><aff xml:lang="en"><institution>A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus</institution><country>Belarus</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>12</day><month>10</month><year>2023</year></pub-date><volume>66</volume><issue>5</issue><fpage>405</fpage><lpage>422</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Добрего К.В., Козначеев И.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Добрего К.В., Козначеев И.А.</copyright-holder><copyright-holder xml:lang="en">Dobrego K.V., Koznacheev I.A.</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://energy.bntu.by/jour/article/view/2307">https://energy.bntu.by/jour/article/view/2307</self-uri><abstract><p>Оптимизация технико-экономических параметров накопителей электроэнергии – необходимое условие для их широкого применения. В статье развивается общий подход и предлагается методика оценки экономической эффективности гибридизации электрохимических систем накопления энергии. С точки зрения оценки эффективности гибридизации накопителей исследуется ряд модельных систем, работающих в разных условиях нагрузки с использованием различных схем функционального взаимодействия блоков. В качестве базовых типов гибридных накопителей рассматриваются: свинцово-кислотные аккумуляторы (аккумуляторные кислотные батареи – АКБ), дополненные литий-ионными АКБ; свинцово-кислотные АКБ, дополненные суперконденсаторами; литий-ионные АКБ, дополненные суперконденсаторами. В качестве нагрузки системы накопления электроэнергии (СНЭ) рассматриваются: вилочный электропогрузчик, 30-квартирный жилой дом, а также 300-квартирный жилой комплекс. Используется количественно-качественная модель оценки эффективности гибридизации, основанная на сравнении стоимости буферизации электроэнергии каждым типом АКБ и гибридным накопителем в целом. Для всех случаев рассчитываются экономические показатели, характеризующие стоимость буферизации электроэнергии гибридными СНЭ, и анализируются преимущества той или иной схемы взаимодействия блоков гибридной СНЭ. Показано, что эффективность гибридизации демонстрирует сложную нелинейную зависимость от степени гибридизации, вид которой зависит как от типа используемых АКБ, так и от характера графика нагрузки, а также от типа функционального взаимодействия блоков. Характерной особенностью этой зависимости является резкое возрастание экономической эффективности при малых значениях a £ 0,01 и дальнейшее замедление роста или падение графика. Полученные результаты позволяют количественно сравнивать эффективность гибридизации СНЭ для конкретных условий ее эксплуатации. Рассмотренные модели и методы могут найти применение при проектировании СНЭ и систем «генератор – накопитель – потребитель», оценке экономической целесообразности гибридизации СНЭ.</p></abstract><trans-abstract xml:lang="en"><p>Optimization of technical and economic parameters of electric power storage devices is a necessary condition for their widespread use. The article develops a general approach and proposes a methodology for assessing the economic efficiency of hybridization of electrochemical energy storage systems (ESSs). From the point of view of evaluating the effectiveness of storage hybridization, a number of model systems operating under different load conditions using different block functional interaction schemes are being investigated. Lead-acid batteries supplemented with lithium-ion batteries; lead-acid batteries supplemented with supercapacitors and lithium-ion batteries supplemented with supercapacitors are considered as the basic types of hybrid storage devices. An electric forklift, a 30-apartment residential building, as well as a 300-apartment residential complex are considered as the load of the ESS. A quantitative and qualitative model for evaluating the effectiveness of hybridization is used, based on comparing the cost of buffering electricity by each type of battery and the hybrid drive as a whole. For all cases, economic indicators characterizing the cost of buffering electricity by hybrid ESSs are calculated and the advantages of a particular scheme of interaction of hybrid ESS blocks are analyzed. It is shown that the hybridization efficiency demonstrates a complex nonlinear dependence on the degree of hybridization, the type of which depends both on the type of batteries used and on the nature of the load schedule, as well as on the type of functional interaction of the blocks. A specific feature of this dependence is a sharp increase in economic efficiency at small values of a £ 0.01 and a further slowdown in the growth or fall of the graph. The obtained results make it possible to quantitatively compare the efficiency of the hybridization of the ESS for specific conditions of its operation. The considered models and methods can be used in the design of ESSs and “generator – storage – consumer” systems, assessment of the economic feasibility of hybridization of ESSs.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>накопитель электроэнергии</kwd><kwd>аккумулятор</kwd><kwd>суперконденсатор</kwd><kwd>гибридный накопитель</kwd><kwd>система управления аккумулятором</kwd><kwd>взаимодействие блоков</kwd><kwd>эквивалентная схема</kwd><kwd>моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>electric energy storage</kwd><kwd>battery</kwd><kwd>supercapacitor</kwd><kwd>hybrid storage</kwd><kwd>battery management system (BMS)</kwd><kwd>block interaction</kwd><kwd>equivalent circuit</kwd><kwd>modeling</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">1H 2023 Energy Storage Market Outlook [Electronic Resource]. Mode of access: https://about.bnef.com/blog/1h-2023-energy-storage-market-outlook. Date of access: 07.04.2023</mixed-citation><mixed-citation xml:lang="en">1H 2023 Energy Storage Market Outlook. Available at: https://about.bnef.com/blog/1h-2023-energy-storage-market-outlook (accessed 07 April 2023).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ragone, D. V. Review of Battery Systems for Electrically Powered Vehicles / D. V. Ragone // SAE Technical Paper. 1968. No. 680453. https://doi.org/10.4271/680453.</mixed-citation><mixed-citation xml:lang="en">Ragone D. V. (1968) Review of Battery Systems for Electrically Powered Vehicles. SAE Technical Paper, (680453). https://doi.org/10.4271/680453.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Miller, J. R. Battery-Capacitor Power Source for Digital Communication-Simulations Using Advanced Electrochemical Capacitors, in Electrochemical Capacitors, F.M. Delnick and M. Tomkiewicz, Editors, PV95-29. Р. 246. The Electrochemical Society Proceedings Series, Pennington, NJ (1996).</mixed-citation><mixed-citation xml:lang="en">Miller J. R. (1996) Battery-Capacitor Power Source for Digital Communication-Simulations Using Advanced Electrochemical Capacitors, in Electrochemical Capacitors, F. M. Delnick and M. Tom-kiewicz, Editors, PV95-29, 246. The Electrochemical Society Proceedings Series, Pennington, NJ.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Dougal, R. A. Power and Life Extension of Battery-Ultracapacitor Hybrids / R. A. Dougal, S. Liu, R. E. White // IEEE Transactions on Components and Packaging Technologies. 2002. Vol. 25, No 1. P. 120–131. https://doi.org/10.1109/6144.991184.</mixed-citation><mixed-citation xml:lang="en">Dougal R. A., Liu S., White R. E. (2002) Power and Life Extension of Battery-Ultracapacitor Hybrids. IEEE Transactions on Components and Packaging Technologies, 25 (1), 120–131 https://doi.org/13110.1109/6144.991184.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Cericola, D. Hybridization of Rechargeable Batteries and Electrochemical Capacitors: Principles and Limits / D. Cericola, R. Kötz // Electrochimica Acta. 2012. Vol. 72. P. 1–17. https://doi.org/10.1016/j.electacta.2012.03.151.</mixed-citation><mixed-citation xml:lang="en">Cericola D., Kötz R. (2012) Hybridization of Rechargeable Batteries and Electrochemical Capacitors: Principles and Limits. Electrochimica Acta 2012, 72, 1–17. https://doi.org/10.1016/j.electacta.2012.03.151.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">A frequency Domain Approach to Analyzing Passive Battery–Ultracapacitor Hybrids Supplying Periodic Pulsed Current Loads / A. Kuperman [et al.] // Energy Conversion and Management 2011. Vol. 52, N 12. P. 3433–3438. https://doi.org/10.1016/j.enconman.2011.07.013.</mixed-citation><mixed-citation xml:lang="en">Kuperman A., Aharon I., Kara A., Malki Sh. (2011) A Frequency Domain Approach to Analyzing Passive Battery–Ultracapacitor Hybrids Supplying Periodic Pulsed Current Loads. Energy Conversion and Management, 52 (12), 3433–3438. https://doi.org/10.1016/j.enconman.2011.07.013.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Kuperman, A. Battery-Ultracapacitor Hybrids for Pulsed Current Loads: A Review / A. Kuperman, I. Aharon // Renewable and Sustainable Energy Review. 2011. Vol. 15, Nо 2. P. 981–992. https://doi.org/10.1016/j.rser.2010.11.010.</mixed-citation><mixed-citation xml:lang="en">Kuperman A., Aharon I. (2011) Battery-Ultracapacitor Hybrids for Pulsed Current Loads: A Review. Renewable and Sustainable Energy Review, 15 (2), 981–992. https://doi.org/10.1016/j.rser.2010.11.010.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Бельский, А. А. Применение гибридных накопителей электроэнергии для выравнивания графика нагрузки предприятий / А. А. Бельский, А. Н. Скамьин, О. С. Васильков // Энергетика. Изв. высш. учеб. заведений и энерг. объединений СНГ. 2020. Т. 63, № 3. С. 212–222. https://doi.org/10.21122/1029-7448-2020-63-3-212-222.</mixed-citation><mixed-citation xml:lang="en">Belsky A. A., Skamyin A. N., Vasilkov O. S. (2020) The Use of Hybrid Energy Storage Devices for Balancing the Electricity Load Profile of Enterprises Enеrgеtika. Izvestiya Vysshikh Uchebnykh Zavedenii i Energeticheskikh Ob’edinenii SNG = Energetika. Proceedings of CIS Higher Education Institutions and Power Engineering Associations, 63 (3), 212–222. https://doi.org/10.21122/1029-7448-2020-63-3-212-222.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Characterization Methods and Modelling of Ultracapacitors for Use as Peak Power Sources / W. Lajnef [et al.] // Journal of Power Source. 2007. Vol. 168, Iss. 2. P. 553–560. https://doi.org/10.1016/j.jpowsour.2007.02.049.</mixed-citation><mixed-citation xml:lang="en">Lajnef W., Vinassa J.-M., Briat O., Azzopardi S., Woirgard E. (2007) Characterization Methods and Modelling of Ultracapacitors for Use as Peak Power Sources. Journal of Power Sources, 168 (2), 553–560. https://doi.org/10.1016/j.jpowsour.2007.02.049.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Catenaro, E. Framework for Energy Storage Selection to Design the Next Generation of Electrified Military Vehicles / E. Catenaro, D. M. Rizzo, S. Onori. Energy. 2021. Vol. 231. P. 120695. https://doi.org/10.1016/j.energy.2021.120695.</mixed-citation><mixed-citation xml:lang="en">Catenaro E., Rizzo D. M., Onori S. (2021) Framework for Energy Storage Selection to Design the Next Generation of Electrified Military Vehicles. Energy, 231, 120695. https://doi.org/10.1016/j.energy.2021.120695.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Добрего, К. В. К вопросу создания гибридных систем накопления электроэнергии / К. В. Добрего // Энергетика. Изв. высш. учеб. заведений и энерг. объединений СНГ. 2023. Т. 66, № 3. С. 215–232. https://doi.org/10.21122/1029-7448-2023-66-3-215-232.</mixed-citation><mixed-citation xml:lang="en">Dobrego K. V. (2023) On the Problem of Arrangement of Hybrid Energy Storage Systems. Enеrgеtika. Izvestiya Vysshikh Uchebnykh Zavedenii i Energeticheskikh Ob’edinenii SNG = Energetika. Proceedings of CIS Higher Education Institutions and Power Engineering Associations, 66 (3), 215–232. https://doi.org/10.21122/1029-7448-2023-66-3-215-232 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Hybrid Battery-Supercapacitor Storage for an Electric Forklift: a Life-Cycle Cost Assessment / M. Conte [et al.] // Journal of Applied Electrochemistry. 2014. Vol. 44, Nо 4. P. 523–532. https://doi.org/10.1007/s10800-014-0669-z.</mixed-citation><mixed-citation xml:lang="en">Conte M., Genovese A., Ortenzi F., Vellucci F. (2014) Hybrid Battery-Supercapacitor Storage for an Electric Forklift: a Life-Cycle Cost Assessment. Journal of Applied Electrochemistry, 44 (4), 523–532. https://doi.org/10.1007/s10800-014-0669-z.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">A critical Overview of Definitions and Determination Techniques of the Internal Resistance Using Lithium-Ion, Lead-Acid, Nickel Metal-Hydride Batteries and Electrochemical DoubleLayer Capacitors as Examples / G. Pilatovich [et al.] // Journal of Power Sources. 2015. Vol. 296. P. 365–376. https://doi.org/10.1016/j.jpowsour.2015.07.073.</mixed-citation><mixed-citation xml:lang="en">Piłatowicz G., Marongiu A., Drillkens J., Sinhuber Ph., Sauer D. U. (2015)A Critical Overview of Definitions and Determination Techniques Of the Internal Resistance Using Lithium-Ion, Lead-Acid, Nickel Metal-Hydride Batteries and Electrochemical Double-Layer Capacitors as Examples. Journal of Power Sources, 296, 365–376, https://doi.org/10.1016/j.jpowsour.2015.07.073.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Гибридные электронакопители на основе аккумуляторов и суперконденсаторов / Ю. В. Бондаренко [и др.] // Технология и конструирование в электронной аппаратуре. 2014. № 4. С. 33–38.</mixed-citation><mixed-citation xml:lang="en">Bondarenko Yu. V., Safronov P. S., Bondarenko O. F., Sydorets V. M., Rogozina T. S. (2014) The Hybrid Energy Storages Based on Batteries and Ultracapacitors for Contact Microwelding. Tekhnologiya i Konstruirovanie v Elektronnoi Apparature = Technology and Design in Electronic Equipment, (4), 33–38 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Добрего, К. В. Модель электрической нагрузки жилищно-коммунального объекта для исследования систем «генератор – накопитель – потребитель» методом Монте-Карло / К. В. Добрего // Наука и техника. 2017. Т. 16, № 2. С. 160–170. https://doi.org/10.21122/ 2227-1031-2017-16-2-160-170.</mixed-citation><mixed-citation xml:lang="en">Dobrego K. V. (2017) Model for Electric Load of Community Housing Projects to Investigate “Generator – Accumulator – Consumer” System while Using Monte-Carlo Method. Nauka i Tekhnika = Science &amp; Technique,16 (2), 160–170. https://doi.org/10.21122/2227-1031-2017-16-2-160-170 (in Russian).</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>
