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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 custom-type="elpub" pub-id-type="custom">kaz44-237</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>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group></article-categories><title-group><article-title>ПОСТРОЕНИЕ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ПЛАНИРОВАНИЯ ПФЭ ДЛЯ ОПТИМАЛЬНОГО УПРАВЛЕНИЯ ЭЛЕКТРОТЕРМИЧЕСКОЙ ПЕЧИ</article-title><trans-title-group xml:lang="en"><trans-title>CONSTRUCTION OF A MATHEMATICAL MODEL OF PFE PLANNING FOR OPTIMAL CONTROL OF AN ELECTROTHERMAL FURNACE</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>Сугурова</surname><given-names>Л. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Sugurova</surname><given-names>L.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сугур</surname><given-names>Ж. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Sugur</surname><given-names>Zh.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Исакулова</surname><given-names>Ж. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Issakulova</surname><given-names>Zh.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Таразский государственный университет имени М.Х. Дулати<country>Казахстан</country></aff><aff xml:lang="en">Таразский государственный университет имени М.Х. Дулати<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Евразийский университет имени Л.Н. Гумилева<country>Казахстан</country></aff><aff xml:lang="en">Евразийский университет имени Л.Н. Гумилева<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>20</day><month>03</month><year>2021</year></pub-date><volume>0</volume><issue>1(1)</issue><fpage>65</fpage><lpage>71</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сугурова Л.А., Сугур Ж.А., Исакулова Ж.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Сугурова Л.А., Сугур Ж.А., Исакулова Ж.А.</copyright-holder><copyright-holder xml:lang="en">Sugurova L., Sugur Z., Issakulova Z.</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/237">https://tech.vestnik.shakarim.kz/jour/article/view/237</self-uri><abstract><p>Матрица ПФЭ реализует все возможные неповторяющиеся комбинации уровней К независимых факторов, каждый из которых может варьироваться на двух или более уровней. Таким образом, эксперимент, в котором реализуются все возможные сочетания уровней факторов, называется полным факторным экспериментом.</p><p>В статье для оптимального управления электротермической печи разработана математическая модель методом ПФЭ. Основной задачей при разработке модели управления является составление матрицы планирования полного факторного эксперимента (ПФЭ). От качества матрицы ПФЭ будет зависеть эффективность работы всей системы управления. Задачей работы является определение оптимальных значений мощности печи (Y) в зависимости от ступени напряжения (Х1), линейных токов (Х2), расположения электродов на траверсе (Х3) и средней температуры под сводом печи (Х4).</p></abstract><trans-abstract xml:lang="en"><p>The PFE matrix implements all possible non-repeating combinations of K levels of independent factors, each of which can vary by two or more levels. Thus, an experiment in which all possible combinations of factor levels are realized is called a complete factor experiment.</p><p>The main task in developing a management model is to compile a matrix for planning a complete factorial experiment (PFE). The efficiency of the entire control system will depend on the quality of the PFE matrix. The PFE planning matrix should reflect the experience, knowledge and intuition of technologists-operators who have worked for production for a long time.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Матрица ПФЭ</kwd><kwd>нормализация</kwd><kwd>эффект готовых знаний</kwd><kwd>регрессия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>PFE matrix</kwd><kwd>normalization</kwd><kwd>the effect of ready knowledge</kwd><kwd>regression</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">Сулейменов Б.А. 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