<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">izmertech</journal-id><journal-title-group><journal-title xml:lang="ru">Измерительная техника</journal-title><trans-title-group xml:lang="en"><trans-title>Izmeritel`naya Tekhnika</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-1025</issn><issn pub-type="epub">2949-5237</issn><publisher><publisher-name>ФГУП "ВНИИФТРИ"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32446/0368-1025it.2022-4-37-42</article-id><article-id custom-type="elpub" pub-id-type="custom">izmertech-1580</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>МЕХАНИЧЕСКИЕ ИЗМЕРЕНИЯ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MECHANICAL MEASUREMENTS</subject></subj-group></article-categories><title-group><article-title>Применение машины опорных векторов для моделирования коэффициента истечения расходомеров переменного перепада давлений</article-title><trans-title-group xml:lang="en"><trans-title>Modelling of the discharge coeffcient of differential pressure flowmeters by the support vector machine</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7685-2862</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Даев</surname><given-names>Ж. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dayev</surname><given-names>Z. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Жанат Ариккулович Даев</p><p>Актобе</p></bio><bio xml:lang="en"><p>Zhanat А. Dayev</p><p>Aktobe</p></bio><email xlink:type="simple">zhand@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>Шопанова</surname><given-names>Г. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Shopanova</surname><given-names>G. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Гульжан Ережеповна Шопанова</p><p>Актобе</p></bio><bio xml:lang="en"><p>Gulzhan E. Shopanova</p><p>Aktobe</p></bio><email xlink:type="simple">shopanova80@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Баишев Университет</institution><country>Казахстан</country></aff><aff xml:lang="en"><institution>Baishev University</institution><country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>04</day><month>05</month><year>2023</year></pub-date><volume>0</volume><issue>4</issue><fpage>37</fpage><lpage>42</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; ФГУП "ВНИИФТРИ", 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">ФГУП "ВНИИФТРИ"</copyright-holder><copyright-holder xml:lang="en">ФГУП "ВНИИФТРИ"</copyright-holder><license xlink:href="https://www.izmt.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://www.izmt.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://www.izmt.ru/jour/article/view/1580">https://www.izmt.ru/jour/article/view/1580</self-uri><abstract><p>Изучена проблема повышения точности измерения расхода жидкостей и газов расходомерами переменного перепада давлений. Рассмотрено моделирование коэффициента истечения диафрагмы расходомеров переменного перепада давлений методами машинного обучения. Показано, что существующие модели коэффициента истечения диафрагмы сложны, значения коэффициентов требуется уточнять в процессе эксплуатации расходомеров. Предложено в качестве коэффициента истечения диафрагмы использовать модель на основе машины опорных векторов. Описаны структура и процесс обучения модели и указаны параметры обучения. Приведены результаты моделирования, полученные при обучении и тестировании модели, и подтверждена её эффективность. Выполнен сравнительный анализ предложенной модели на основе машины опорных векторов и существующей модели в виде эмпирического уравнения Ридер-Харриса и Галлахера. Показано, что предложенная модель коэффициента истечения не уступает по точности и эффективности действующей модели, и позволяет совершенствовать системы измерения расхода жидкостей и газов. Результаты исследования будут полезны для работ в области добычи, транспорта и хранения природного газа.</p></abstract><trans-abstract xml:lang="en"><p>The article discusses a method for modeling the differential pressure flowmeters of using machine learning methods. In the proposed work, a model in the form of a support vector machine is used as the discharge coefficient of the orifice plate. The paper describes in detail the learning process of the proposed model, and discusses its structure for the discharge coefficient in the form of a support vector machine, provides training parameters. The paper also provides simulation results, both during training and during testing of the model, which confirm the effectiveness of the proposed alternative method of reproducing the discharge coefficient. The authors of the article presented a comparative analysis of the obtained model for the discharge coefficient in the form of a support vector machine with the values of the current Reader-Harris and Gallagher equation. The paper shows that the model of the discharge coefficient in the form of a support vector machine is not inferior in accuracy and efficiency to the current models, and allows improving the systems for measuring the flow rate of liquids and gases. The obtained research results for differential pressure flow measurement systems of gas are relevant, and are of interest for natural gas production, transportation and storage facilities.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>расход газа</kwd><kwd>коэффициент истечения</kwd><kwd>переменный перепад давлений</kwd><kwd>диафрагма</kwd><kwd>машина опорных векторов</kwd><kwd>машинное обучение</kwd><kwd>расходомер</kwd></kwd-group><kwd-group xml:lang="en"><kwd>gas flow rate</kwd><kwd>discharge coefficient</kwd><kwd>differential pressure</kwd><kwd>orifice plate</kwd><kwd>support vector machines (SVM)</kwd><kwd>neural network</kwd><kwd>machine learning</kwd><kwd>flow meter</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">Yoder J., Measuring a 1 % gain in a 4,5 billion dollars market, Flow Control, 2008, vol. 6, pp. 42–45.</mixed-citation><mixed-citation xml:lang="en">Yoder J., Measuring a 1 % gain in a 4,5 billion dollars market, Flow Control, 2008, vol. 6, pp. 42–45.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Даев Ж. А. Сравнительный анализ коэффициентов истечения расходомеров переменного перепада давления // Метрология. 2015. № 1. P. 32–36.</mixed-citation><mixed-citation xml:lang="en">Даев Ж. А. Сравнительный анализ коэффициентов истечения расходомеров переменного перепада давления // Метрология. 2015. № 1. P. 32–36.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M., Orifice Plates and Venturi Tubes, Glasgow, Springer International Publishing Switzerland, 2015, 389 p. https://doi.org/10.1007/978-3-319-16880-7</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M., Orifi ce Plates and Venturi Tubes, Glasgow, Springer International Publishing Switzerland, 2015, 389 p. https://doi.org/10.1007/978-3-319-16880-7</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Cristancho D. E., Hall K. R., Coy L. A., Iglesias-Silva G. A., Flow Measurement and Instrumentation, 2010, vol. 21, iss. 3, pp. 299–301. https://doi.org/10.1016/j.flowmeasinst.2010.03.003</mixed-citation><mixed-citation xml:lang="en">Cristancho D. E., Hall K. R., Coy L. A., Iglesias-Silva G. A., Flow Measurement and Instrumentation, 2010, vol. 21, iss. 3, pp. 299–301. https://doi.org/10.1016/j.flowmeasinst.2010.03.003</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Stolz J. A., Universal Equation for the Calculation of Discharge Coeffi cient of Orifi ce Plates, Proceedings of FLOMEKO 1978, IMEKO-Conference on Flow Measurement of Fluids, Groningen, Netherlands, September 11–15, 1978, Amsterdam, NorthHolland, 1978, pp. 519–534.</mixed-citation><mixed-citation xml:lang="en">Stolz J. A., Universal Equation for the Calculation of Discharge Coeffi cient of Orifi ce Plates, Proceedings of FLOMEKO 1978, IMEKO-Conference on Flow Measurement of Fluids, Groningen, Netherlands, September 11–15, 1978, Amsterdam, NorthHolland, 1978, pp. 519–534.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M. J., Sattary J. A., Flow Measurement and Instrumentation, 1990, vol. 1, iss. 2, pp. 67–76. https://doi.org/10.1016/0955-5986(90)90031-2</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M. J., Sattary J. A., Flow Measurement and Instrumentation, 1990, vol. 1, iss. 2, pp. 67–76. https://doi.org/10.1016/0955-5986(90)90031-2</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M. J., Sattary J. A., Spearman E. P., The orifi ce plate discharge coeffi cient equation, Progress Report no. PR14, EUEC/17 (EEC005), East Kilbride, Glasgow, National Engineering Laboratory Executive Agency, 1992, 104 p.</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M. J., Sattary J. A., Spearman E. P., The orifi ce plate discharge coeffi cient equation, Progress Report no. PR14, EUEC/17 (EEC005), East Kilbride, Glasgow, National Engineering Laboratory Executive Agency, 1992, 104 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M. J., Sattary J. A., Spearman E. P., Flow Measurement and Instrumentation, 1995, vol. 6, iss. 2, pp. 101– 114. https://doi.org/10.1016/0955-5986(94)00001-O</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M. J., Sattary J. A., Spearman E. P., Flow Measurement and Instrumentation, 1995, vol. 6, iss. 2, pp. 101– 114. https://doi.org/10.1016/0955-5986(94)00001-O</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Reader-Harris M. J., Forsyth C., BoussouaraT., Flow Measurement and Instrumentation, 2021, vol. 82, 102043. https://doi.org/10.1016/j.flowmeasinst.2021.102043</mixed-citation><mixed-citation xml:lang="en">Reader-Harris M. J., Forsyth C., BoussouaraT., Flow Measurement and Instrumentation, 2021, vol. 82, 102043. https://doi.org/10.1016/j.flowmeasinst.2021.102043</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Ahmed E. N., Ghanem A. A., Flow Measurement and Instrumentation, 2020, vol. 73, 101751. https://doi.org/10.1016/j.flowmeasinst.2020.101751</mixed-citation><mixed-citation xml:lang="en">Ahmed E. N., Ghanem A. A., Flow Measurement and Instrumentation, 2020, vol. 73, 101751. https://doi.org/10.1016/j.flowmeasinst.2020.101751</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Hollingshead C. L., Johnson M. C., Barfuss S. L., Spall R. E., Journal of Petroleum Science and Engineering, 2011, vol. 78, iss. 3–4, pp. 559–566. https://doi.org/10.1016/j.petrol.2011.08.008</mixed-citation><mixed-citation xml:lang="en">Hollingshead C. L., Johnson M. C., Barfuss S. L., Spall R. E., Journal of Petroleum Science and Engineering, 2011, vol. 78, iss. 3–4, pp. 559–566. https://doi.org/10.1016/j.petrol.2011.08.008</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Zh. A., Flow Measurement and Instrumentation, 2020, vol. 71, 101674. https://doi.org/10.1016/j.flowmeasinst.2019.101674</mixed-citation><mixed-citation xml:lang="en">Dayev Zh. A., Flow Measurement and Instrumentation, 2020, vol. 71, 101674. https://doi.org/10.1016/j.flowmeasinst.2019.101674</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Zh., Kairakbaev A. K., Applied Artificial Intelligence, 2021, vol. 35, pp. 1128–1146. https://doi.org/10.1080/08839514.2021.1975378</mixed-citation><mixed-citation xml:lang="en">Dayev Zh., Kairakbaev A. K., Applied Artifi cial Intelligence, 2021, vol. 35, pp. 1128–1146. https://doi.org/10.1080/08839514.2021.1975378</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Zh., Kairakbaev A., Yetilmezsoy K., Bahramian M., Sihag P., Kıyan E., Flow Measurement and Instrumentation, 2021, vol. 79, 101913. https://doi.org/10.1016/j.flowmeasinst.2021.101913</mixed-citation><mixed-citation xml:lang="en">Dayev Zh., Kairakbaev A., Yetilmezsoy K., Bahramian M., Sihag P., Kıyan E., Flow Measurement and Instrumentation, 2021, vol. 79, 101913. https://doi.org/10.1016/j.flowmeasinst.2021.101913</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Dayev Zh. A., Latyshev L. N., Flow Measurement and Instrumentation, 2017, vol. 56, pp. 18–22. https://doi.org/10.1016/j.flowmeasinst.2017.07.001</mixed-citation><mixed-citation xml:lang="en">Dayev Zh. A., Latyshev L. N., Flow Measurement and Instrumentation, 2017, vol. 56, pp. 18–22. https://doi.org/10.1016/j.flowmeasinst.2017.07.001</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Haykin S. Neural Networks, A Comprehensive Foundation, Prentice Hall, 1999, 864 p.</mixed-citation><mixed-citation xml:lang="en">Haykin S. Neural Networks, A Comprehensive Foundation, Prentice Hall, 1999, 864 p.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Jarushkina N. G., Osnovy nechetkih i gibridnyh system, Moscow, Finansy i statistika Publ., 2009, 320 p. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Jarushkina N. G., Osnovy nechetkih i gibridnyh system, Moscow, Finansy i statistika Publ., 2009, 320 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Borg D., Suetake M., Brandao D., Flow Measurement and Instrumentation, 2014, vol. 40, pp. 142–148. https://doi.org/10.1016/j.flowmeasinst.2014.09.007</mixed-citation><mixed-citation xml:lang="en">Borg D., Suetake M., Brandao D., Flow Measurement and Instrumentation, 2014, vol. 40, pp. 142–148. https://doi.org/10.1016/j.flowmeasinst.2014.09.007</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>
