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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">kaz44</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Университета Шакарима. Серия технические науки</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Shakarim University. Technical Sciences</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2788-7995</issn><issn pub-type="epub">3006-0524</issn><publisher><publisher-name>«Шәкәрім университеті» КеАҚ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.53360/2788-7995-2026-2(22)-55</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz44-2339</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>ТЕХНИЧЕСКАЯ ФИЗИКА И ТЕПЛОЭНЕРГЕТИКА</subject></subj-group></article-categories><title-group><article-title>МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ И ЭКСПЕРИМЕНТАЛЬНЫЕ ИССЛЕДОВАНИЯ ЧАСТОТНОГО ПРЕОБРАЗОВАТЕЛЯ ДЛЯ СИСТЕМ ИНДУКЦИОННОГО НАГРЕВА</article-title><trans-title-group xml:lang="en"><trans-title>MATHEMATICAL MODELING AND EXPERIMENTAL STUDIES OF A FREQUENCY CONVERTER FOR INDUCTION HEATING SYSTEMS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9988-5694</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сагындыкова</surname><given-names>А. Ж.</given-names></name><name name-style="western" xml:lang="en"><surname>Sagyndykova</surname><given-names>A. Zh.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Айгүл Журсиновна Сагындыкова – PhD, доцент, кафедра электроэнергетики,</p><p>050013, Алматы, ул.Байтұрсынов,127</p></bio><bio xml:lang="en"><p>Аigul Zhursinovna Sagyndykova – PhD, associate professor, Department of Electro Energy,</p><p>050013, Аlmaty, Baitursynov street,127</p></bio><email xlink:type="simple">a.sagyndikova@aues.kz</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5219-2081</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Заец</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zaetc</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Наталья Анатолиевна Заец – исследователь, PhD, профессор, кафедра мехатроники и оптометрии,</p><p>10963, Берлин, ул.Дессауэр, 3/5</p></bio><bio xml:lang="en"><p>Nataliya Anatolievna Zaetc – Researcher, PhD, professor, Department of Mechatronic and Optometric,</p><p>10963, Berlin, Dessau, 3/5</p></bio><email xlink:type="simple">nataliia.zaiets@bht-berlin.de</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4940-8336</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жамашева</surname><given-names>Р. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhamasheva</surname><given-names>R. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Рита Адиловна Жамашева – Humboldt-Innovation GmbH, Гумбольдт университет, PhD, старший преподаватель, </p><p>050012, Алматы, ул.Төле би,100</p></bio><bio xml:lang="en"><p>Rita Adilovna Zhamasheva – Researcher, PhD, senior lecturer, Department of Food Technology,</p><p>050012, Аlmaty,Tole bi street, 100</p></bio><email xlink:type="simple">rita_2206@mail.ru</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1216-7150</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Нургалиев</surname><given-names>Н. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Nurgaliyev</surname><given-names>N. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Нуржан Нурлыбекович Нургалиев – PhD, доцент-исследователь, </p><p>071412, Семей, ул.Глинки, 20</p></bio><bio xml:lang="en"><p>Nurzhаn Nurlybеkovich Nurgаliyеv – PhD, associate professor-researcher, Dеpаrtmеnt of Chеmistry аnd Ecology, </p><p>071412, Semey, Glinki street, 20</p></bio><email xlink:type="simple">n.nurgaliyev@shakarim.kz</email><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Алматинский университет энергетики и связи имени Гумарбека Даукеева</institution><country>Казахстан</country></aff><aff xml:lang="en"><institution>University of Power Engineering and Telecommunications named after G.Daukeev</institution><country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Берлинский университет прикладных наук</institution><country>Германия</country></aff><aff xml:lang="en"><institution>Berlin University of Applied Sciences</institution><country>Germany</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Алматиский технологический университет</institution><country>Казахстан</country></aff><aff xml:lang="en"><institution>Humboldt-Innovation GmbH, Humboldt University;&#13;
Almaty Technological University</institution><country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Шакарим университет</institution><country>Казахстан</country></aff><aff xml:lang="en"><institution>Shakarim University</institution><country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>29</day><month>07</month><year>2026</year></pub-date><volume>0</volume><issue>2(22)</issue><fpage>512</fpage><lpage>524</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сагындыкова А.Ж., Заец Н.А., Жамашева Р.А., Нургалиев Н.Н., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Сагындыкова А.Ж., Заец Н.А., Жамашева Р.А., Нургалиев Н.Н.</copyright-holder><copyright-holder xml:lang="en">Sagyndykova A.Z., Zaetc N.A., Zhamasheva R.A., Nurgaliyev N.N.</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://tech.vestnik.shakarim.kz/jour/article/view/2339">https://tech.vestnik.shakarim.kz/jour/article/view/2339</self-uri><abstract><p>В статье рассматриваются разработка и применение систем индукционного нагрева в различных отраслях, таких как сельскохозяйственное машиностроение, автомобильная промышленность и металлообработка. Приведен сравнительный анализ индукционных установок и традиционных методов нагрева, показаны их преимущества, включая высокую скорость и эффективность нагрева, улучшенное управление процессом и снижение энергопотребления. Математическая модель частотного преобразователя для систем индукционного нагрева основана на системе дискретных уравнений, описывающих динамику многомерных переменных. В отличие от существующих подходов, данная модель учитывает оптимальный диапазон рабочих частот, позволяет сократить количество силовых транзисторов и учитывает установленную мощность, обеспечивая при этом высокую энергетическую эффективность. В рамках исследования были разработаны и изготовлены прототип частотного преобразователя, работающего в диапазоне 2-20 кГц при однофазном и трехфазном питании, а также индуктор мощностью 6 кВт. Экспериментальные исследования подтвердили адекватность предложенной модели и возможность ее применения в реальных технологических условиях. Практическая значимость работы заключается в возможности использования разработанной модели и прототипа для выбора оптимальных технологий индукционного нагрева в машиностроении и сельскохозяйственном машиностроении, что обеспечивает повышение надежности, снижение энергопотребления и уменьшение эксплуатационных затрат. Полученные результаты показали достаточность предложенной модели и подтвердили ее практическую применимость. Показано, что изменения параметров преобразователя существенно влияют на выбор оптимального режима индукционного нагрева, что имеет практическую значимость как для образовательных целей, так и для промышленного внедрения.</p></abstract><trans-abstract xml:lang="en"><p>The article discusses the development and application of induction heating systems in various industries, including agricultural machinery manufacturing, the automotive industry, and metal processing. A comparative analysis of induction installations and conventional heating methods is presented, highlighting their advantages such as high heating rates and efficiency, improved process control, and reduced energy consumption. The mathematical model of the frequency converter for induction heating systems is based on a system of discrete equations describing the dynamics of multidimensional variables. Unlike existing approaches, the proposed model takes into account the optimal operating frequency range, reduces the number of power transistors, and considers the installed power, thereby maintaining high energy efficiency. Within the scope of the study, a prototype frequency converter operating in the 2-20 kHz range with single-phase and three-phase power supply, as well as a 6 kW inductor, were designed and manufactured. Experimental studies confirmed the adequacy of the proposed model and its applicability under real technological conditions. The practical significance of the work lies in the possibility of using the developed model and prototype to select optimal induction heating technologies for mechanical engineering and agricultural machinery, ensuring increased reliability, reduced energy consumption, and lower operational costs. The results demonstrated the sufficiency of the proposed model and confirmed its practical applicability. onic components, which may affect both the converter operation and the power supply network. It was shown that variations in converter parameters have a significant impact on the selection of optimal induction heating modes, which is of practical importance for both educational purposes and industrial implementation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>частотные преобразователи</kwd><kwd>индукционный нагрев</kwd><kwd>транзисторный модуль</kwd><kwd>трехфазный выпрямитель</kwd><kwd>инвертор</kwd><kwd>IGBT-система индукционного нагрева</kwd></kwd-group><kwd-group xml:lang="en"><kwd>frequency converters</kwd><kwd>induction heating</kwd><kwd>transistor module</kwd><kwd>three-phase rectifier</kwd><kwd>inverter</kwd><kwd>IGBT-based induction heating system</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">Design and optimization of H-type asymmetric magnetic suspension vibration absorber for ships / B. 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