电邮这篇文章 Idealized passive elements of complex fractional order. Part 1. Classification
- 作者: Nikitov A.1, Gil’mutdinov A.K.2,3, Shakhturin D.V2
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隶属关系:
- Kotelnikov Institute of Radioengineering and Electronics of RAS
- Kazan National Research Technical University named after A.N. Tupolev – KAI
- Scientific and Production Association “Radioelectronics” named after V.I. Shimko
- 期: 卷 70, 编号 4 (2025)
- 页面: 355-362
- 栏目: ON THE 70th ANNIVERSARY OF S.A. NIKITOV
- URL: https://bakhtiniada.ru/0033-8494/article/view/315561
- DOI: https://doi.org/10.31857/S0033849425040045
- EDN: https://elibrary.ru/fsojqt
- ID: 315561
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详细
The concept of an idealized passive element of complex fractional order γ = α + jβ, a synonym for which is an ideal complex fractal element (ICFE), is introduced. The corresponding basic and derived parameters of the ICFE are introduced. It is shown that the ICFE is a generalized two-pole passive element of fractal radio electronics, which generalizes the properties of not only all existing idealized passive two-pole elements, but also infinitely expands the capabilities of the modern element base. A classification of all existing two-pole passive idealized passive elements is given depending on the value of the complex fractional impedance index. The dimensions and physical meaning of these elements are determined depending on the values of α and β.
作者简介
A. Nikitov
Kotelnikov Institute of Radioengineering and Electronics of RASMokhovaya Str., 11, build. 7, Moscow, 125009 Russian Federation
A. Gil’mutdinov
Kazan National Research Technical University named after A.N. Tupolev – KAI; Scientific and Production Association “Radioelectronics” named after V.I. Shimko
Email: agilmutdinov@rambler.ru
K. Marks Str., 10, Kazan, 420111 Russian Federation; Zhurnalistov Str., 50, Kazan, 420029 Russian Federation
D. Shakhturin
Kazan National Research Technical University named after A.N. Tupolev – KAIK. Marks Str., 10, Kazan, 420111 Russian Federation
参考
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- Нигматуллин Р.Ш., Белавин В.А. // Тр. Казан. авиац. ин-та. Радиотехника и электроника. 1964. Вып. 82. С. 58.
- Фрактальные элементы: пионерские конструктивно-технологические реализации: коллективная монография / Под общей ред. А. Х. Гильмутдинова. М.: Физматлит, 2020.
- Гильмутдинов А.Х. Резистивно-емкостные элементы с распределенными параметрами: анализ, синтез и применение. Казань: Изд-во Казан. гос. техн. ун-та, 2005.
- Гильмутдинов А.Х., Ушаков П.А. Фрактальные элементы: учебное пособие / Под ред. А. Х. Гильмутдинова. Казань: Изд-во Казан. гос. техн. ун-та, 2013.
- Gil’mutdinov A.Kh., Ushakov P.A., El-Khazali R. Fractal Elements and Their Application. Cham: Springer International Publishing AG, 2017.
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