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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">novtexmech</journal-id><journal-title-group><journal-title xml:lang="ru">Мехатроника, автоматизация, управление</journal-title><trans-title-group xml:lang="en"><trans-title>Mekhatronika, Avtomatizatsiya, Upravlenie</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1684-6427</issn><issn pub-type="epub">2619-1253</issn><publisher><publisher-name>Commercial Publisher «New Technologies»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17587/mau.21.213-223</article-id><article-id custom-type="elpub" pub-id-type="custom">novtexmech-786</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>АВТОМАТИЗАЦИЯ УПРАВЛЕНИЯ ТЕХНОЛОГИЧЕСКИМИ ПРОЦЕССАМИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AUTOMATION OF PROCESS CONTROL</subject></subj-group></article-categories><title-group><article-title>Технологии мониторинга динамики развития повреждений на буровых установках с использованием моментов высоких порядков помехи</article-title><trans-title-group xml:lang="en"><trans-title>Technologies for Monitoring the Dynamics of Damage Development in Drilling Rigs Using High-Order Moments of the Noise</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>Алиев</surname><given-names>Т. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Aliev</surname><given-names>T. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук, академик</p><p>г. Баку</p></bio><bio xml:lang="en"/><email xlink:type="simple">telmancyber@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>Мусаева</surname><given-names>Н. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Musaeva</surname><given-names>N. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Доктор технических наук</p><p>г. Баку</p></bio><bio xml:lang="en"/><email xlink:type="simple">musanaila@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Газызаде</surname><given-names>Б. И.</given-names></name><name name-style="western" xml:lang="en"><surname>Gazizade</surname><given-names>B. I.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Диссертант</p><p>г. Баку</p></bio><bio xml:lang="en"/><email xlink:type="simple">behruz.qazizade@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт систем управления НАН Азербайджана; &#13;
Азербайджанский архитектурно-строительный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Control Systems, Azerbaijan National Academy of Sciences; &#13;
Azerbaijan University of Architecture and Construction</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Азербайджанский архитектурно-строительный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Azerbaijan University of Architecture and Construction</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Институт систем управления НАН Азербайджана</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Control Systems, Azerbaijan National Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>11</day><month>04</month><year>2020</year></pub-date><volume>21</volume><issue>4</issue><fpage>213</fpage><lpage>223</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Commercial Publisher «New Technologies», 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Commercial Publisher «New Technologies»</copyright-holder><copyright-holder xml:lang="en">Commercial Publisher «New Technologies»</copyright-holder><license xlink:href="https://mech.novtex.ru/jour/about/submissions#copyrightNotice" xlink:type="simple"><license-p>https://mech.novtex.ru/jour/about/submissions#copyrightNotice</license-p></license></permissions><self-uri xlink:href="https://mech.novtex.ru/jour/article/view/786">https://mech.novtex.ru/jour/article/view/786</self-uri><abstract><p>Статья посвящена разработке алгоритмов вычисления моментов высоких порядков помехи зашумленных сигналов и их применению для анализа технического состояния промышленных объектов. Показано, что для мониторинга и контроля начала аварийной ситуации объектов нефтедобычи используются случайные вибрационные сигналы, которые, помимо помехи от внешних факторов в момент зарождения неисправности, также содержат дополнительную помеху. Характеристики этой помехи несут в себе определенную информацию о техническом состоянии бурильного станка. Ранее были разработаны алгоритмы вычисления дисперсии, среднего квадратического отклонения, функции плотности распределения помехи, которую невозможно отделить от зашумленного сигнала. В данной работе показано, что моменты высоких порядков помехи можно использовать как диагностический индикатор для определения наличия и степени развития повреждений буровых установок во времени в скрытом периоде зарождения. Проведен анализ возможных вариантов вычисления моментов высоких порядков помехи. Разработаны рекуррентные алгоритмы, выражающие моменты высших порядков нормально распределенной помехи через ее дисперсию. Показана возможность вычисления моментов высоких порядков помехи также через функции плотности распределения. Составлена матрица, состоящая из оценок моментов высоких порядков помехи (noise-моментов), вычисленных в различные моменты времени. Показано, что на первом этапе по значениям элементов матрицы удается определить наличие и степень зародившегося повреждения. На втором этапе находится интенсивность развития повреждения в результате сравнения значений характеристик помехи в различные моменты времени. Вычисления проводятся для всех сигналов, которые поступают от датчиков. Проводится обучение, и по значениям моментов высших порядков ставятся в соответствие определенная степень и интенсивность развития повреждения. Показана возможность использования предложенных алгоритмов и технологий в системе контроля помех (noiseконтроля) начала развития и динамики аварий на буровых установках. Отмечено, что в процессе бурения, если даже оценки моментов высоких порядков суммарных зашумленных вибросигналов меняются в большом диапазоне, их noiseмоменты высоких порядков не превышают заданной величины при отсутствии неисправности. При возникновении неисправности оценки моментов помехи становятся больше заданного порогового уровня и по мере развития дефекта их значения также изменяются. Если неблагоприятные процессы стабилизируются, измерение во времени этих оценок прекращается, причем в зависимости от степени и интенсивности стабилизации технического состояния буровой установки поочередно прекращается измерение оценок моментов, начиная от самого высокого до самого низкого или наоборот. Эта специфика оценок noise-моментов высоких порядков вибрационных сигналов позволяет определить начало и контролировать динамику развития скрытого периода аварийного состояния процесса бурения. </p></abstract><trans-abstract xml:lang="en"><p>The paper deals with the development of algorithms for calculating the high-order moments of the noise of noisy signals and their use in the analysis of the technical condition of industrial facilities. It is shown that for monitoring and controlling the onset of an emergency at oil production facilities, random vibration signals are used, which, in addition to the noise caused by external factors at the time of the initiation of the malfunction, also contain additional noise. The characteristics of this noise contain certain information about the technical condition of the drilling rig. Earlier, algorithms were developed for calculating the variance, standard deviation, and density distribution function of the noise that cannot be separated from the noisy signal. In this paper, it is shown that high-order moments of the noise can be used as a diagnostic indicator for determining the presence and degree of damage development in drilling rigs during the latent period of damage initiation. Possible options for calculating the high-order moments of the noise are analyzed. Recursive algorithms are developed for expressing high-order moments of a normally distributed noise through its variance. The possibility of calculating the high-order moments of the noise through the distribution density functions is also shown. A matrix consisting of estimates of the high-order moments of the noise calculated at different instants of time is built. It is shown that at the first stage, it is possible to determine the presence and degree of the damage based on the values of the matrix elements. At the second stage, the intensity of damage development is determined by comparing the values of the noise characteristics at different instants of time. Calculations are performed for all signals coming from the sensors. Training is carried out and, the correspondence is established between the values of the high-order moments and degrees and intensity of damage development. The possibility of using the proposed algorithms and technologies in the system of noise control of the beginning and development dynamics of accidents at drilling rigs is shown. It is noted that even if the estimates of the high-order moments of the sum noisy vibration signals change within a wide range during drilling, their high-order noise moments do not exceed a predetermined value in the absence of a malfunction. In the event of a malfunction, the estimates of the highorder moments of the noise exceed the predetermined threshold level and, as the defect develops, their values also change. If adverse processes are stabilized, the variation of these estimates stops as well. Moreover, depending on the degree and intensity of stabilization of the technical condition of the drilling rig, the change in the estimates of the moments, starting from the highest to the lowest or vice versa, stops one by one. This specific feature of estimates of high-order noise moments of vibration signals allows us to identify the beginning and to control the development dynamics of the latent period of an emergency state of the drilling process. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>зашумленный сигнал</kwd><kwd>помеха</kwd><kwd>характеристики помехи</kwd><kwd>моменты высокого порядка помехи</kwd><kwd>буровая установка</kwd><kwd>система контроля</kwd></kwd-group><kwd-group xml:lang="en"><kwd>noisy signal</kwd><kwd>noise</kwd><kwd>noise characteristics</kwd><kwd>high-order moments of noise</kwd><kwd>drilling rig</kwd><kwd>monitoring system</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при финансовой поддержке Научного Фонда Государственной Нефтяной Компании Азербайджанской Республики "SOCAR" в рамках научного проекта: "Разработка системы, обеспечивающей адекватность идентификации и раннюю диагностику нефтяных установок на основе позиционно-бинарной технологии"</funding-statement><funding-statement xml:lang="en">The study has been carried out with the financial support of the Science Fund of the State Oil Company of the Azerbaijan Republic within the framework of the research project "Development of a system for adequate identification and early diagnostics on the basis of the position-binary technology".</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Telman Aliev. 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