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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">vguit</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Воронежского государственного университета инженерных технологий</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Voronezh State University of Engineering Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-910X</issn><issn pub-type="epub">2310-1202</issn><publisher><publisher-name>VSUET</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.20914/2310-1202-2018-4-133-137</article-id><article-id custom-type="elpub" pub-id-type="custom">vguit-2026</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>Информационные технологии, моделирование и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Information technologies, modeling and management</subject></subj-group></article-categories><title-group><article-title>Методика статистического анализа стационарной кинетической модели ячейки идеального смешения</article-title><trans-title-group xml:lang="en"><trans-title>Methods of statistical analysis stationary kinetic model ideal mixing cell</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>Зароченцев</surname><given-names>В. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Zarochentsev</surname><given-names>V. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., доцент, МЦМАМП, ул. Николаева 44, г. Владикавказ, 362021, Россия</p></bio><bio xml:lang="en"><p>Cand. Sci. (Engin.), associate professor, ,, Vladikavkaz, 362021, Russia</p></bio><email xlink:type="simple">vlazarm@gmail.com</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>Кондратенко</surname><given-names>Т. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kondratenko</surname><given-names>T. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к.т.н., доцент, МЦМАМП, ул. Николаева 44, г. Владикавказ, 362021, Россия</p></bio><bio xml:lang="en"><p>Cand. Sci. (Engin.), associate professor, ,, Vladikavkaz, 362021, Russia</p></bio><email xlink:type="simple">starikova.tatiana@yandex.ru</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>Макоева</surname><given-names>А. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Makoeva</surname><given-names>A. K.</given-names></name></name-alternatives><bio xml:lang="ru"><p>аспирант, МЦМАМП, ул. Николаева 44, г. Владикавказ, 362021, Россия</p></bio><bio xml:lang="en"><p>graduate student, ,, Vladikavkaz, 362021, Russia</p></bio><email xlink:type="simple">makoeva_alla@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Северо-Кавказский горно-металлургический институт (государственный технический университет)</institution></aff><aff xml:lang="en"><institution>North Caucasian mining and metallurgical institute (State Technical University)</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>23</day><month>12</month><year>2018</year></pub-date><volume>80</volume><issue>4</issue><fpage>133</fpage><lpage>137</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Зароченцев В.М., Кондратенко Т.В., Макоева А.К., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Зароченцев В.М., Кондратенко Т.В., Макоева А.К.</copyright-holder><copyright-holder xml:lang="en">Zarochentsev V.M., Kondratenko T.V., Makoeva A.K.</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.vestnik-vsuet.ru/vguit/article/view/2026">https://www.vestnik-vsuet.ru/vguit/article/view/2026</self-uri><abstract><p>В статье рассмотрена методика статистического анализа стационарной кинетической модели ячейки идеального смешения, которую можно применить для аппаратов, использующих пространственную комбинацию ячеек идеального смешения. Разработана имитационная модель процессов взаимодействия двух веществ в прямоточном реакторе идеального смешения и построены графики химического взаимодействия этих веществ. Проведена параметрическая идентификация имитационной модели методом наименьших квадратов. Оценена адекватность полученной модели с помощью F-критерия и гипотезы о неоднородности дисперсий случайных процессов и функций. Оценены доверительные интервалы коэффициентов линеаризованного уравнения с помощью t-критерия, определена значимость коэффициентов для выбранной формы уравнения. Полученные значения доверительных интервалов обусловлены заложенными в имитационную модель стохастическими факторами и взаимным влиянием отклонений разных параметров. Результаты расчетов приведены в примере 1 и примере 2. Величина относительной ошибки для выходных концентраций составила более 10%. Поэтому было выполнено усреднение по пяти повторным наблюдениям в каждой точке для уменьшения дисперсии. Усредненные значения параметров пригодны для имитационного моделирования и анализа процессов. Результаты исследований можно использовать для разработки методов математического моделирования и анализа в стационарных химико-технологических процессов, протекающих в растворах.</p></abstract><trans-abstract xml:lang="en"><p>The article describes the statistical analysis method of the stationary kinetic model of perfect mixing cell which can be applied to devices using spatial combination of perfect mixing cells. A simulation model of interaction of two substances in a continuous-flow reactor of perfect mixing and graphs of chemical interaction of the substances is elaborated. A parametric simulation model identification method of least squares is conducted. The adequacy of the model obtained using the F-test and the hypothesis of heterogeneity of variances of random processes and functions is evaluated. The possible intervals of the linear zed equation coefficients using t-test are significance estimated coefficients are determined for the chosen form of the equation. The obtained values of the possible intervals are caused by in the stochastic factors simulation model by and mutual influence of deviations of different parameters. The calculation results are shown in Example 1 and Example 2. The relative error for output concentration was more than 10%. Therefore averaging over five repeated observations at each point in order to reduce the dispersion was performed. The averaged values of the parameters are suitable for the simulation and analysis processes. The results of research can be used for the development of mathematical modeling methods and analysis in fixed-chemical processes occurring in solutions.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>кинетическая модель</kwd><kwd>материальный баланс</kwd><kwd>моделирование</kwd><kwd>идеальное смешение</kwd><kwd>стохастическое уравнение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>the kinetic model</kwd><kwd>material balance</kwd><kwd>modeling</kwd><kwd>perfect mixing</kwd><kwd>the stochastic equation</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">Дудников Е.Г., Балакирев В.С., Кривосунов В.Н., Цирлин А.М. Построение математических моделей химико-технологических объектов. Ленинград: Химия, 2013. 312 с.</mixed-citation><mixed-citation xml:lang="en">Dudnikov E.G., Balakirev V.S., Krivosunov V.N., Tsirlin A.M. 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