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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">radioelectronics</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений России. Радиоэлектроника</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of the Russian Universities. Radioelectronics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1993-8985</issn><issn pub-type="epub">2658-4794</issn><publisher><publisher-name>Saint Petersburg Electrotechnical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32603/1993-8985-2022-25-6-70-78</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-696</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>ПРОЕКТИРОВАНИЕ И ТЕХНОЛОГИЯ РАДИОЭЛЕКТРОННЫХ СРЕДСТВ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENGINEERING DESIGN AND TECHNOLOGIES OF RADIO ELECTRONIC FACILITIES</subject></subj-group></article-categories><title-group><article-title>Нелинейно-инерционная модель диода с учетом зависимости времени жизни неравновесных носителей заряда от прямого тока для повышения качества моделирования РЭА</article-title><trans-title-group xml:lang="en"><trans-title>Nonlinear Inertial Diode Model Considering the Dependence of Nonequilibrium Charge Carrier Lifetime on Direct Current to Improve Simulation of Radioelectronic Equipment</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>Шевченко</surname><given-names>Г. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Shevchenko</surname><given-names>G. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шевченко Глеб Михайлович – младший научный сотрудник лаборатории нелинейной видеоимпульсной локации Института сильноточной электроники СО РАН; аспирант Томского государственного университета систем управления и радиоэлектроники</p><p>пр. Академический, д. 2/3, Томск, 634055</p></bio><bio xml:lang="en"><p>Gleb M. Shevchenko, Junior Researcher at the Laboratory of Nonlinear Video-Pulse Location of the Institute of High-Current Electronics of the Siberian Branch of the Russian Academy of Sciences; Postgraduate Student of the Tomsk State University of Control Systems and Radioelectronics</p><p>2/3, Akademichesky Ave., Tomsk 634055</p></bio><email xlink:type="simple">gleb.m.shevchenko@tusur.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5470-1185</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Семенов</surname><given-names>Э. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Semyonov</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Семенов Эдуард Валерьевич – доктор технических наук (2012), доцент (2009), старший научный сотрудник Института сильноточной электроники СО РАН; профессор кафедры радиоэлектроники и системсвязи Томского государственного университета систем управления и радиоэлектроники</p><p>пр. Академический, д. 2/3, Томск, 634055</p></bio><bio xml:lang="en"><p>Edward V. Semyonov, Dr Sci. (Eng.) (2012), Associate Professor (2009), Senior Researcher of Institute of High Current Electronics SB RAS; Professor at the Department of Radioelectronics and Communication Systems of Tomsk State University of Control Systems and Radioelectronics</p><p>2/3, Akademichesky Ave., Tomsk 634055</p></bio><email xlink:type="simple">edwardsemyonov@narod.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт сильноточной электроники СО РАН; Томский государственный университет систем управления и радиоэлектроники<country>Россия</country></aff><aff xml:lang="en">Institute of High Current Electronics SB RAS; Tomsk State University of Control Systems and Radioelectronics<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>28</day><month>12</month><year>2022</year></pub-date><volume>25</volume><issue>6</issue><fpage>70</fpage><lpage>78</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шевченко Г.М., Семенов Э.В., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Шевченко Г.М., Семенов Э.В.</copyright-holder><copyright-holder xml:lang="en">Shevchenko G.M., Semyonov E.V.</copyright-holder><license 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://re.eltech.ru/jour/article/view/696">https://re.eltech.ru/jour/article/view/696</self-uri><abstract><sec><title>Введение</title><p>Введение. Адекватное моделирование полупроводниковых приборов с p–n-переходом в обратном смещении представляет проблему. Существующие квазистатические и неквазистатические модели не в состоянии удовлетворительно охарактеризовать зависимость времени жизни неравновесных носителей заряда от плотности тока. Это приводит к большой погрешности (десятки процентов) моделирования на импульсных широкополосных сигналах. Погрешность моделирования объясняется тем, что в существующих моделях время жизни представлено в виде неизменного значения.</p></sec><sec><title>Цель работы</title><p>Цель работы. Предложить и исследовать эквивалентную схему p–n-перехода, учитывающую зависимость времени жизни неравновесных носителей заряда от прямого тока, с возможностью простой интеграции этой схемы в САПР.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Исследование выполнено на примере кремниевого быстровосстанавливающегося диода BAS16J с p–n-переходом, производства Nexperia. Предложена модифицированная модель диода в виде эквивалентной схемы, учитывающая зависимость времени жизни неравновесных носителей заряда от прямого тока p–n-перехода при высоком уровне инжекции.</p></sec><sec><title>Результаты</title><p>Результаты. Расхождение между экспериментальной и модельной кривыми не превышает ±9 % при импульсном воздействии на диод. Экстракция параметров в предложенной модели происходит обычными способами из вольт-амперной и вольт-фарадной характеристик диода.</p></sec><sec><title>Заключение</title><p>Заключение. Рассмотренная неквазистатическая эквивалентная схема диода представляет большой интерес при проектировании радиоэлектронных устройств, работающих с короткоимпульсными широкополосными сигналами. Представленная модель диода в виде эквивалентной схемы позволяет беспрепятственно реализовать ее в современных САПР на пользовательском уровне.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Adequate modeling of semiconductor devices with a p–n-junction in reverse bias represents a relevant research problem. The existing quasistatic and non-quasistatic models fail to provide a satisfactory description for the dependence of nonequilibrium charge carrier lifetime on current density. This leads to significant simulation errors (tens of percent) at pulsed broadband signals. Simulation errors arise, because the existing models regard the lifetime as a constant value.</p></sec><sec><title>Aim</title><p>Aim. To propose and investigate an equivalent circuit of a p–n-junction considering the dependence of the lifetime of nonequilibrium charge carriers on direct current, with the possibility of its simple integration into CAD.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The study was carried out on the example of a fast recovery silicon diode BAS16J with a p–n-junction manufactured by Nexperia. A modified diode model is proposed in the form of an equivalent circuit that considers the dependence of the lifetime of nonequilibrium charge carriers on the direct current of the p–njunction at high injection levels.</p></sec><sec><title>Results</title><p>Results. The discrepancy between the experimental and simulated curves did not exceed ±9 % under pulsed diode operation. The extraction of parameters in the proposed model is carried out conventionally, from the current-voltage and capacitance-voltage characteristics of the diode.</p></sec><sec><title>Conclusion</title><p>Conclusion. The proposed non-quasistatic equivalent diode circuit can be used when designing radio electronic devices operated at short-pulse broadband signals. The proposed diode model can be easily implemented in modern CAD systems at the user level.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>p–n-переход</kwd><kwd>обратное восстановление</kwd><kwd>время жизни</kwd><kwd>диффузионный заряд</kwd><kwd>неквазистатическая модель</kwd></kwd-group><kwd-group xml:lang="en"><kwd>p–n-junction</kwd><kwd>reverse recovery</kwd><kwd>lifetime</kwd><kwd>diffusion charge</kwd><kwd>non-quasistatic model</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Работа выполнена в рамках государственного задания Министерства науки и высшего образования (проект № FWRM-2021-0015).</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>The work was carried out within the state assignment of the Ministry of Science and Higher Education of the Russian Federation (the project no. FWRM-2021-0015).</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">Тогатов B. В., Гнатюк П. А. Метод измерения времени жизни носителей заряда в базовых областях быстродействующих диодных структур // Физика и техника полупроводников. 2005. Т. 39, № 3. С. 378–381.</mixed-citation><mixed-citation xml:lang="en">Togatov V. V., Gnatyuk P. A. Method for Measuring the Lifetime of Charge Carriers in the Base Regions of High-Speed Diode Structures. Physics and Technology of Semiconductors. 2005, vol. 39, no. 3, pp. 378–381. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ayaz M., Shafiqul I, Quazi D. M. Modified Ebers-Moll model of magnetic bipolar transistor // IEEE Intern. Conf. on Electron Devices and Solid-State Circuits, Singapore, 01–04 June 2015. IEEE, 2015. P. 812–815. doi: 10.1109/EDSSC.2015.7285242</mixed-citation><mixed-citation xml:lang="en">Ayaz M., Shafiqul I, Quazi D. M. Modified Ebers-Moll Model of Magnetic Bipolar Transistor. IEEE Intern. Conf. on Electron Devices and Solid-State. Circuits, Singapore, 01–04 June 2015. IEEE, 2015, pp. 812–815. doi: 10.1109/EDSSC.2015.7285242</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Ebers J. J., Moll J. L. Large-Signal Behavior of Junction Transistors // Proc. of the IRE. 1954. Vol. 42, № 12. P. 1761–1772. doi: 10.1109/JRPROC.1954.274797</mixed-citation><mixed-citation xml:lang="en">Ebers J. J., Moll J. L. Large-Signal Behavior of Junction Transistors. Proc. of the IRE. 1954, vol. 42, no. 12, pp. 1761–1772. doi: 10.1109/JRPROC.1954.274797</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Complete Time-Domain Diode Modeling: Application to Off-Chip and On-Chip Protection Devices / B. B. M’Hamed, F. Torres, A. Reineix, P. Hoffmann // Transactions on Electromagnetic Compatibility. 2011. Vol. 53, № 2. P. 349–365. doi: 10.1109/TEMC.2010.2082551</mixed-citation><mixed-citation xml:lang="en">M’Hamed B. B., Torres F., Reineix A., Hoffmann P. Complete Time-Domain Diode Modeling: Application to Off-Chip and On-Chip Protection Devices. Transactions on Electromagnetic Compatibility. 2011, vol. 53, no. 2, pp. 349–365. doi: 10.1109/TEMC.2010.2082551</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Lauritzen P., Ma C. L. A Simple Diode Model with Reverse Recovery // IEEE Trans. Power Electron. 1991. Vol. 6, № 2. P. 188–191. doi: 10.1109/63.76804</mixed-citation><mixed-citation xml:lang="en">Lauritzen P., Ma C. L. A Simple Diode Model with Reverse Recovery. IEEE Trans. Power Electron. 1991, vol. 6, no. 2, pp. 188–191. doi: 10.1109/63.76804</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Yang A. T., Liu Yu, Yao J. T. An Efficient Non-quasi-Static Diode Model for Circuit Simulation // IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 1994. Vol. 13, № 2. P. 231–234. doi: 10.1109/43.259946</mixed-citation><mixed-citation xml:lang="en">Yang A. T., Liu Yu, Yao J. T. An Efficient Nonquasi-Static Diode Model for Circuit Simulation. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 1994, vol. 13, no. 2, pp. 231–234. doi: 10.1109/43.259946</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Tien B., Hu C. Determination of carrier lifetime from rectifier ramp recovery waveform // IEEE Electron Device Lett. 1988. Vol. 9, № 10. P. 553–555. doi: 10.1109/55.17842</mixed-citation><mixed-citation xml:lang="en">Tien B., Hu C. Determination of Carrier Lifetime from Rectifier Ramp Recovery Waveform. IEEE Electron Device Lett. 1988, vol. 9, no. 10, pp. 553– 555. doi: 10.1109/55.17842</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Лосев Д. В., Бардашов Д. С., Быков А. Г. Возбуждение полупроводникового диода коротким импульсом // Изв. вузов. Физика. 2015. Т. 58, № 8/2. С. 147–150.</mixed-citation><mixed-citation xml:lang="en">Losev D. V., Bardashov D. S., Bykov A. G. Excitement of a Semiconductor Diode by a Short Pulse. Russian Physics J. 2015, vol. 58, no. 8-2, pp. 147–150. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Айзенштат Г. И., Ющенко А. Ю., Божков В. Г. Переходные процессы в СВЧ-ріn-диодах на арсениде галлия // Изв. вузов. Физика. 2014. Т. 57, № 12. С. 14–19.</mixed-citation><mixed-citation xml:lang="en">Aizenshtat G. I., Yushchenko A. Yu., Bozhkov V. G. Transient Processes in Microwave Pin Diodes Based on Gallium Arsenide. Russian Physics J. 2014, vol. 57, no. 12, pp. 14–19. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Variable-resolution simulation of nonlinear power circuits / D. Ali, D. Sairja, P. Chapman, J. Jatskevich // Proc. of 2010 IEEE Intern. Symp. on Circuits and Systems. 2010. P. 2750–2753. doi: 10.1109/ISCAS.2010.5537026</mixed-citation><mixed-citation xml:lang="en">Ali D., Sairja D., Chapman P., Jatskevich J. Variable-Resolution Simulation of Nonlinear Power Circuits. Proc. of 2010 IEEE Intern. Symp. on Circuits and Systems. 2010, pp. 2750–2753. doi: 10.1109/ISCAS.2010.5537026</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Modeling and Simulation of Comprehensive Diode Behavior Under Electrostatic Discharge Stresses / H. Li, M. Miao, Yu. Zhou, J. A. Salcedo, J.-J. Hajjar, K. B. Sundaram // IEEE Transactions on Device and Materials Reliability. 2019. Vol. 19, № 1. P. 2750– 2753. doi: 10.1109/TDMR.2018.2882454</mixed-citation><mixed-citation xml:lang="en">Li H., Miao M., Zhou Yu., Selcedo J. A., Haj-jar J.-J., Sundaram K. B. Modeling and Simulation of Comprehensive Diode Behavior Under Electrostatic Discharge Stresses. IEEE Transactions on Device and Materials Reliability. 2019, vol. 19, no. 1, pp. 2750– 2753. doi: 10.1109/TDMR.2018.2882454</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Разработка и исследование СВЧ-ограничителей мощности на основе pin-диодов / А. Ю. Ющенко, Г. И. Айзенштат, Е. А. Монастырев, А. А. Иващенко, А. В. Акимов // Изв. вузов. Физика. 2010. Т. 53, № 9-2. С. 315–319.</mixed-citation><mixed-citation xml:lang="en">Yushchenko A. Yu., Aizenshtat G. I., Monastyrev E. A., Ivashchenko A. A., Akimov A. V. Development and Research of Microwave Power Limiters Based on Pin Diodes. Russian Physics J. 2010, vol. 53, no. 9-2, pp. 315–319. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Understanding and Modeling of Diode Voltage Overshoots During Fast Transient ESD Events / P. Zhihao, D. Schroeder, S. Holland, H. K. Wolfgang // IEEE Transactions on Electron Devices. 2014. Vol. 61, № 8. P. 2750–2753. doi: 10.1109/TED.2014.2330365</mixed-citation><mixed-citation xml:lang="en">Zhihao P., Schroeder D., Holland S., Wolf-gang H. K. Understanding and Modeling of Diode Voltage Overshoots During Fast Transient ESD Events. IEEE Transactions on Electron Devices. 2014, vol. 61, no. 8, pp. 2750–2753. doi: 10.1109/TED.2014.2330365</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Improvement of SPICE based ESD Protection Models for I/O Protection Modeling / A. Pak, S. M. Mousavi, D. Pommerenke, G. Maghlakelidze, Ya. Xu // IEEE Intern. Joint EMC/SI/PI and EMC Europe Symp. 2021. Vol. 19, № 1. P. 1006–1011. doi: 10.1109/EMC/SI/PI/EMCEurope52599.2021.9559224</mixed-citation><mixed-citation xml:lang="en">Pak A., Mousavi S. M., Pommerenke D., Maghlakelidze G., Xu Ya. Improvement of SPICE Based ESD Protection Models for I/O Protection Modeling. IEEE Intern. Joint EMC/SI/PI and EMC Europe Symp. 2021, vol. 19, no. 1, pp. 1006–1011. doi: 10.1109/EMC/SI/PI/EMCEurope52599.2021.9559224</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Шевченко Г. М., Семенов Э. В. Простая модель зависимости времени жизни неравновесных носителей заряда от прямого тока p–n-перехода // СВЧ-техника и телекоммуникационные технологии: материалы 32-й Междунар. Крымской конф. / под ред. Ю. Б. Гимпилевича, П. П. Ермолова. Севастополь: СевГУ, 2022. С. 7–8.</mixed-citation><mixed-citation xml:lang="en">Shevchenko G. M., Semyonov E. V. A Simple Model of the Dependence of the Lifetime of Nonequilibrium Charge Carriers on the Direct Current of the p–n-junction. Microwave Engineering and Telecommunication Technologies: Procю of the 32nd Intern. Crime-an Conf. Ed. by Yu. B. Gimpilevich, P. P. Yermolov. Sevastopol, SevGU, 2022, pp. 7–8. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Семенов Э. В., Малаховский О. Ю. Неквазистатическая модель p–n-перехода без рекурсии на пользовательском уровне // Изв. вузов. Физика. 2019. Т. 62, № 6. С. 151–156.</mixed-citation><mixed-citation xml:lang="en">Semyonov E. V., Malakhovskij O. Yu. Non-Quasi-Static p–n-junction Model without User-Defined Recursion. Russian Physics J. 2019, vol. 62, no. 6, pp. 151–156. (In Russ.)</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>
