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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en">
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    <journal-meta>
      <journal-id journal-id-type="issn">1561-5405</journal-id>
	    <journal-id journal-id-type="doi">10.24151/1561-5405</journal-id>	  
      <journal-id journal-id-type="publisher-id">Proceedings of Universities. Electronics</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Scientifical and technical journal "Proceedings of Universities. Electronics"</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Научно-технический журнал «Известия высших учебных заведений. Электроника»</trans-title>
        </trans-title-group>        
      </journal-title-group>      
      <issn publication-format="print">1561-5405</issn>
      <issn publication-format="online">2587-9960</issn>
      <publisher>
        <publisher-name xml:lang="en">National Research University of Electronic Technology</publisher-name>
        <publisher-name xml:lang="ru">Национальный исследовательский университет "Московский институт электронной техники"</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>                                    
      
    <article-id pub-id-type="doi">10.24151/1561-5405-2026-31-3-318-331</article-id><article-id pub-id-type="risc">WYHHUK</article-id><article-id pub-id-type="udk">621.3.049.75</article-id><article-categories><subj-group><subject>Схемотехника и проектирование</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Compact equivalent circuits of discrete passive electronic components of radio-electronic equipment for calculating circuits frequency characteristics in the UHF range</article-title><trans-title-group xml:lang="ru"><trans-title>Компактные эквивалентные схемы дискретных пассивных элементов радиоэлектронной аппаратуры для расчета частотных характеристик схем на печатных платах в УВЧ-диапазоне</trans-title></trans-title-group></title-group><pub-date iso-8601-date="2026-06-18" date-type="pub" publication-format="electronic"><day>18</day><month>06</month><year>2026</year></pub-date><volume>Том. 31 №3</volume><fpage>318</fpage><lpage>331</lpage><self-uri>http://ivuz-e.ru/issues/Том 31 №3/kompaktnye_ekvivalentnye_skhemy_diskretnykh_passivnykh_elementov_radioelektronnoy_apparatury_dlya_ra/</self-uri><self-uri content-type="pdf">http://ivuz-e.ru#</self-uri><abstract xml:lang="en"><p>SPICE models of resistors, inductors and capacitors are implemented as complex passive equivalent circuits in specialized industrial CAD packages developed by international and domestic companies. They often contain up to a dozen or more elements to achieve the necessary accuracy in the UHF and higher frequency ranges. Thus, the complexity and the simulation time significantly increase. In this work compact π-shaped equivalent circuits for passive R, L, C elements were proposed for calculating the frequency characteristics of PCB based circuits in UHF frequency range. In contrast with conventional multi-section equivalent circuits, the application of the introduced equivalent circuits has simplified the description complexity of the analyzed circuit and reduced computational time in CAD. A special test fixture containing calibration elements was fabricated for a set of standard discrete R, L, C component packages. The fixture was used to de-embed parasitic components and losses in cables, coaxial-to-microstrip launches and transmission lines from the measured S-parameters of the R, L, C components. S-parameters were converted into Y-parameters with standard formulas. The element values of the proposed π-shaped equivalent circuits for the R, L, C components were extracted from Y-parameters. The developed models were integrated into Keysight ADS, DeltaDesign, LTspice and OrCAD circuit simulators.</p></abstract><trans-abstract xml:lang="ru"><p>В специализированных промышленных пакетах САПР SPICE-модели резисторов, индуктивностей и конденсаторов представлены в виде сложных пассивных эквивалентных схем, содержащих десятки и более элементов для обеспечения необходимой точности моделирования в УВЧ-диапазоне и выше. При этом увеличиваются трудоемкость и время моделирования. В работе рассмотрены компактные π-образные эквивалентные схемы пассивных R-, L-, C-элементов для расчета частотных характеристик схем на печатных платах в УВЧ-диапазоне. В отличие от традиционных многосекционных эквивалентных схем применение предлагаемых эквивалентных схем снижает трудоемкость описания анализируемой схемы и обеспечивает экономию времени счета в САПР. Для набора стандартных корпусов дискретных R-, L-, C-компонентов изготовлена специальная оснастка, содержащая калибровочные элементы, с помощью которых из результатов измерения S-параметров R-, L-, C-компонентов устраняются паразитные составляющие и потери в кабельных сборках, коаксиально-микрополосковых переходах и линиях передачи. По формулам S-параметры преобразованы в Y-параметры, из которых экстрагированы значения элементов π-образных эквивалентных схем R-, L-, C-компо-нентов. Разработанные модели включены в схемотехнические симуляторы Keysight ADS, DeltaDesign, LTspice и OrCAD.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>УВЧ-диапазон</kwd><kwd>SPICE-моделирование</kwd><kwd>пассивная электронно-компонентная база</kwd><kwd>САПР</kwd></kwd-group><kwd-group xml:lang="en"><kwd>UHF range</kwd><kwd>SPICE simulation</kwd><kwd>passive electronic components</kwd><kwd>CAD</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">работа выполнена в рамках Программы фундаментальных исследований НИУ ВШЭ в 2025 г. (проект № ФИ-2025-4).</funding-statement><funding-statement xml:lang="ru">the work was carried out within the framework of the Basic Research Program at HSE University in 2025 (project no. FI-2025-4). </funding-statement></funding-group></article-meta>
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