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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">spfp</journal-id><journal-title-group><journal-title xml:lang="ru">Хранение и переработка сельхозсырья</journal-title><trans-title-group xml:lang="en"><trans-title>Storage and Processing of Farm Products</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2072-9669</issn><issn pub-type="epub">2658-767X</issn><publisher><publisher-name>РОСБИОТЕХ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.36107/spfp.2025.4.662</article-id><article-id custom-type="elpub" pub-id-type="custom">spfp-662</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>ТЕХНОЛОГИЧЕСКИЕ ПРОЦЕССЫ, МАШИНЫ И ОБОРУДОВАНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TECHNOLOGICAL PROCESSES, MACHINES AND EQUIPMENT</subject></subj-group></article-categories><title-group><article-title>Автоматизация управления вакуум-аппаратами периодического действия на основе модельной кривой кипения утфеля</article-title><trans-title-group xml:lang="en"><trans-title>Automation of Batch Vacuum Pan Control Based on the Modeled Boiling Curve of Massecuite</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5859-7263</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Петров</surname><given-names>Сергей Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Petrov</surname><given-names>Sergey Mikhailovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>кафедра систем автоматизированного управления, МГУТУ, профессор, докт. техн. наук, SPIN-код: 9627-7651</p></bio><email xlink:type="simple">s.petrov@mgutm.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7909-1763</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Подгорнова</surname><given-names>Надежда Михайловна</given-names></name><name name-style="western" xml:lang="en"><surname>Podgornova</surname><given-names>Nadezhda Mikhailovna</given-names></name></name-alternatives><email xlink:type="simple">pnmm@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-7632-304X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шаховской</surname><given-names>Андрей Владимирович</given-names></name><name name-style="western" xml:lang="en"><surname>Shakhovskoy</surname><given-names>Andrey Vladimirovich</given-names></name></name-alternatives><email xlink:type="simple">a.shakhovskoy@mgutm.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный университет технологий и управления имени К. Г. Разумовского (Первый казачий университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>K.G. Razumovsky Moscow State University of Technologies and Management (the First Cossack University)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Московский политехнический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Polytechnic University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>07</day><month>02</month><year>2026</year></pub-date><volume>33</volume><issue>4</issue><fpage>91</fpage><lpage>111</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Петров С.М., Подгорнова Н.М., Шаховской А.В., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Петров С.М., Подгорнова Н.М., Шаховской А.В.</copyright-holder><copyright-holder xml:lang="en">Petrov S.M., Podgornova N.M., Shakhovskoy A.V.</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://www.spfp-mgupp.ru/jour/article/view/662">https://www.spfp-mgupp.ru/jour/article/view/662</self-uri><abstract><sec><title>Введение</title><p>Введение: В существующих исследованиях процесса уваривания утфеля в вакуум-аппаратах периодического действия (ВАПД) недостаточно изучена взаимосвязь между уровнем заполнения аппарата (L) и динамикой изменения массовой доли сухих веществ (Bx). Это ограничивает возможности точного управления процессом, что приводит к неоптимальным энергозатратам и снижению качества сахара.</p></sec><sec><title>Цель</title><p>Цель: Установить количественную зависимость между уровнем заполнения ВАПД, динамикой Bx и параметрами кривой кипения для разработки оптимизированной стратегии управления процессом уваривания утфеля.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы: Исследование проводилось на вакуум-аппаратах типа УВА-60С с использованием онлайн-мониторинга параметров (Bx, уровень, температура, давление). Кривая кипения аппроксимировалась сигмоидной функцией, а управление процессом осуществлялось с помощью адаптивного MPC-алгоритма. Статистическая обработка данных включала корреляционный и регрессионный анализ.</p></sec><sec><title>Результаты</title><p>Результаты: Установлено, что оптимальный уровень заполнения аппарата составляет 60–70 %, при котором достигается максимальная эффективность процесса. Внедрение MPC-алгоритма позволило снизить коэффициент вариации размера кристаллов с 34,2 % до 28,7 %, сократить время цикла на 9,1 % и уменьшить энергопотребление на 14,3 %. Выявлена сильная корреляция между градиентом перенасыщения и качеством кристаллов (r = 0,82).</p></sec><sec><title>Выводы</title><p>Выводы: Полученные результаты могут быть использованы на сахарных заводах для оптимизации процесса уваривания утфеля, снижения энергозатрат и повышения качества конечного продукта. Перспективным направлением является интеграция предложенного метода с системами предиктивной аналитики на основе ИИ.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction: The process of boiling massecuite in batch vacuum pans (BVPs) is a key stage in sugar production, determining its quality and energy efficiency. Despite a significant amount of research, the relationship between the pan fill level (L) and the dynamics of the dry solids content (Bx) remains insufficiently studied, which limits the possibilities for precise process control.</p></sec><sec><title>Purpose</title><p>Purpose: To establish a quantitative relationship between the fill level of a BVP, the Bx dynamics, and the parameters of the boiling curve for the development of an optimized control strategy for the massecuite boiling process.</p></sec><sec><title>Materials and Methods</title><p>Materials and Methods: Experimental methods of online monitoring (Bx, level, temperature, pressure) on UVA-60S type pans were used, along with mathematical modeling of the boiling curve based on a sigmoid function and an adaptive MPC algorithm. Statistical data processing included correlation and regression analysis.</p></sec><sec><title>Results</title><p>Results: It was found that the optimal pan fill level (60–70 %) ensures maximum process efficiency. The implementation of the MPC algorithm significantly improved crystal quality (reduction in the size variation coefficient) and reduced energy consumption. A strong correlation was revealed between the supersaturation gradient and crystal quality (r = 0.82).</p></sec><sec><title>Conclusion</title><p>Conclusion: The research results contribute to the international agenda on energy efficiency management and the development of intelligent control systems in the food industry. The proposed method demonstrates potential for integration with digital twins, ensuring precise control and adaptation to changing production conditions. The practical significance of the work is confirmed by successful testing in industrial conditions, making it applicable for optimizing processes at sugar plants. A promising direction is the further development of hybrid control systems using artificial intelligence methods.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>вакуум-аппарат периодического действия</kwd><kwd>кривая кипения</kwd><kwd>уровень заполнения</kwd><kwd>массовая доля сухих веществ</kwd><kwd>адаптивное управление</kwd><kwd>энергоэффективность</kwd><kwd>кристаллизация сахара</kwd><kwd>MPC-алгоритм</kwd><kwd>перенасыщение</kwd><kwd>качество кристаллов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>batch vacuum pan</kwd><kwd>boiling curve</kwd><kwd>adaptive control</kwd><kwd>energy efficiency</kwd><kwd>sugar crystallization</kwd><kwd>MPC algorithm</kwd><kwd>supersaturation</kwd><kwd>crystal quality</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">«Автор», 2021</mixed-citation><mixed-citation xml:lang="en">Arapov, D. V., Kuritsyn, V. A., Petrov, S. 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