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  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2311-8318</journal-id>
      <journal-id journal-id-type="eissn">2658-3151</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Электротехнические системы и комплексы</journal-title>
        <journal-title xml:lang="en">Electrotechnical Systems and Complexes</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name>Магнитогорский государственный технический университет им. Г.И. Носова</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.18503/2311-8318-2026-2(71)-4-8</article-id>
      <article-id pub-id-type="edn">JHBPBU</article-id>
      <article-id pub-id-type="uri">https://esik.magtu.ru/ru/arkhiv/vse-nomera/104-2-71-iyun-2026-g/969-4.html</article-id>
      <article-categories>
        <subj-group>
          <subject>ТЕОРИЯ И ПРАКТИКА АВТОМАТИЗИРОВАННОГО ЭЛЕКТРОПРИВОДА</subject>
        </subj-group>
        <subj-group>
          <subject>THEORY AND PRACTICE OF AUTOMATED ELECTRIC DRIVE</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="ru">ИССЛЕДОВАНИЕ СИСТЕМЫ ИСПЫТАНИЙ АСИНХРОННЫХ ТЯГОВЫХ ДВИГАТЕЛЕЙНА СИНУСОИДАЛЬНОМ ТОКЕ С ПРИМЕНЕНИЕМ ШИРОТНО-ИМПУЛЬСНОЙ МОДУЛЯЦИИС ВЫБОРОЧНЫМ ПОДАВЛЕНИЕМ ГАРМОНИК</article-title>
        <trans-title-group xml:lang="en">
          <trans-title>TESTING SYSTEM FOR INDUCTION TRACTION MOTORS UNDER SINUSOIDAL CURRENT EXCITATION UTILIZING SELECTIVE HARMONIC ELIMINATION PULSE-WIDTH MODULATION (SHE-PWM)</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Титова</surname>
            <given-names>Тамила Семеновна</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Титова</surname>
              <given-names>Тамила Семеновна</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Titova</surname>
              <given-names>Tamila S.</given-names>
            </name>
          </name-alternatives>
          <email>titova@pgups.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Евстафьев</surname>
            <given-names>Андрей Михайлович</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Евстафьев</surname>
              <given-names>Андрей Михайлович</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Yevstafyev</surname>
              <given-names>Andrey M.</given-names>
            </name>
          </name-alternatives>
          <email>evstafev@pgups.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Колпахчьян</surname>
            <given-names>Павел Григорьевич</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Колпахчьян</surname>
              <given-names>Павел Григорьевич</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Kolpakchyan</surname>
              <given-names>Pavel G</given-names>
            </name>
          </name-alternatives>
          <email>kolpakhchyan@pgups.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name name-style="eastern">
            <surname>Калинина</surname>
            <given-names>Анна Андреевна</given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>Калинина</surname>
              <given-names>Анна Андреевна</given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>Kalinina</surname>
              <given-names>Anna A.</given-names>
            </name>
          </name-alternatives>
          <email>anya-c@mail.ru</email>
          <contrib-id contrib-id-type="orcid">https://orcid.org/0009-0008-5555-748</contrib-id>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Петербургский государственный университет путей сообщения Императора Александра I (Санкт-Петербург, Россия)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">Emperor Alexander I St. Petersburg State Transport University (Saint Petersburg, Russia)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2026-06-30">
        <day>30</day>
        <month>06</month>
        <year>2026</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2026</year>
      </pub-date>
      <issue>2(71)</issue>
      <fpage>4</fpage>
      <lpage>8</lpage>
      <history>
        <date date-type="received" iso-8601-date="2026-04-30">
          <day>30</day>
          <month>04</month>
          <year>2026</year>
        </date>
        <date date-type="accepted" iso-8601-date="2026-06-09">
          <day>09</day>
          <month>06</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>Titova T.S., Yevstafyev A.M., Kolpakhchyan P.G., Kalinina A.A. 2026 Content is available under the Creative Commons Attribution 4.0 License</copyright-statement>
        <copyright-year>2026</copyright-year>
        <copyright-holder xml:lang="ru">Титова Т.С., Евстафьев А.М., Колпахчьян П.Г., Калинина А.А.</copyright-holder>
        <copyright-holder xml:lang="en">Titova T.S., Yevstafyev A.M., Kolpakchyan P.G., Kalinina A.A.</copyright-holder>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://esik.magtu.ru/ru/arkhiv/vse-nomera/104-2-71-iyun-2026-g/969-4.html">https://esik.magtu.ru/ru/arkhiv/vse-nomera/104-2-71-iyun-2026-g/969-4.html</self-uri>
      <abstract xml:lang="ru">
        <p>В рамках данного исследования была выдвинута гипотеза о том, что применение широтно-импульсной модуляции с выборочным подавлением гармоник (SHE PWM) в сочетании с пассивным LC-фильтром позволит обеспечить формирование синусоидального тока для проведения испытаний асинхронных тяговых двигателей при одновременном соблюдении строгих норм по коэффициенту нелинейных искажений и минимизации коммутационных потерь. Целью работы являлось подтверждение эффективности предложенного подхода на базе трехуровневого автономного инвертора напряжения. Для достижения поставленной цели было проведено математическое моделирование электромагнитных процессов в системе «трехуровневый автономный инвертор — асинхронный тяговый двигатель» без фильтра и с его последующим введением. В качестве метода формирования выходного сигнала применялась SHE PWM с контролем трёх низших гармоник. Расчёт углов переключения силовых ключей выполнялся методом Ньютона – Рафсона. Для подавления высших гармоник в схему был интегрирован LC-фильтр с частотой среза 500 Гц (Lf = 200 мкГн, Cf = 506,61 мкФ). В ходе экспериментов было установлено, что использование SHE PWM без фильтра позволяет снизить коэффициент нелинейных искажений. Внедрение LC-фильтра позволило практически полностью подавить неконтролируемые высшие гармоники. Практическая значимость полученных результатов заключается в возможности создания энергоэффективных испытательных стендов для высокоскоростных асинхронных тяговых приводов. Разработанная система обеспечивает высокое качество питающего напряжения при низких тепловых потерях в полупроводниках, что способствует продлению ресурса оборудования и гарантирует соответствие характеристик тягового двигателя паспортным данным в условиях, приближенных к реальным эксплуатационным режимам.</p>
      </abstract>
      <trans-abstract xml:lang="en">
        <p>Within the framework of this study, a hypothesis was formulated that Selective Harmonic Elimination Pulse-Width Modulation (SHE PWM) application in conjunction with a passive LC filter would enable the generation of a sinusoidal current for induction traction motor testing. This approach is intended to simultaneously ensure strict compliance with total harmonic distortion (THD) standards and minimize switching losses in power semiconductor devices. The aim of this research was to experimentally and computationally verify the effectiveness of the proposed topology based on a three-level neutral-point-clamped (NPC) voltage source inverter. To achieve this goal, mathematical modeling of the electromagnetic processes in the "three-level NPC inverter — induction traction motor" system was performed for two configurations: without a filter and with its subsequent introduction. The SHE PWM algorithm was applied to control the three lowest-order harmonics. The switching angles of the power switches were calculated using the Newton-Raphson iterative method. To suppress the higher-order harmonics that cannot be eliminated by the SHE PWM algorithm, a second-order LC filter was integrated into the circuit with a cutoff frequency of 500 Hz (parameters: Lf=200μH, Cf=506.61μF). The numerical experiment results showed that the use of SHE PWM without a filter allows for a significant reduction of the total harmonic distortion (THD) compared to classical PWM methods, but does not ensure full compliance with standards. The subsequent integration of the LC filter into the circuit allowed for the almost complete suppression of residual uncontrolled higher-order harmonics leading to a significant improvement in the current spectral composition. The practical significance of the obtained results lies in creating a theoretical and methodological basis for designing energy-efficient test benches for high-speed induction traction drives. The developed system guarantees high-quality supply voltage with minimal thermal losses in power semiconductors, which contributes to extending the service life of the equipment and ensures the validity of traction motor testing under conditions that closely approximate real-world operational modes.</p>
      </trans-abstract>
      <kwd-group xml:lang="ru">
        <title>Ключевые слова</title>
        <kwd>асинхронный тяговый двигатель (АТД)</kwd>
        <kwd>испытания на синусоидальном токе</kwd>
        <kwd>автономный инвертор напряжения</kwd>
        <kwd>трехуровневый инвертор</kwd>
        <kwd>широтно-импульсная модуляция (ШИМ)</kwd>
        <kwd>SHE PWM</kwd>
        <kwd>коэффициент нелинейных искажений</kwd>
        <kwd>гармонический состав тока</kwd>
      </kwd-group>
      <kwd-group xml:lang="en">
        <title>Keywords</title>
        <kwd>induction traction motor</kwd>
        <kwd>sinusoidal current testing</kwd>
        <kwd>autonomous voltage inverter</kwd>
        <kwd>three-level inverter</kwd>
        <kwd>pulse-width modulation (PWM)</kwd>
        <kwd>SHE PWM</kwd>
        <kwd>total harmonic distortion (THD)</kwd>
        <kwd>current harmonic spectrum</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body/>
  <back>
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