Analysis of Complex Linear Periodically Time-Varying Circuits by Method of Reduced Matrix D-Trees

Yuriy Shapovalov, Dariya Bachyk, Ksenia Detsyk, Roman Romaniuk, Ivan Shapovalov
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Abstract

The paper proposes the method of reduced matrix D-trees, which is an improved version of the method of matrix d-trees. This method is a further development of the application of one of the subcircuit methods, the so-called d-tree method, to the symbolic analysis of linear circuits with constant parameters The method of reduced matrix D-trees, like the d-tree method, provides a significant reduction in the required computer time for modeling circuits, which has a mathematical meaning, consisting in the bringing out of similar terms in the formed complex symbolic expressions. Since there are, in fact, many symbolic terms in such expressions, this reduction in time is due to such factoring. The method is illustrated using a model of a long line consisting of a cascade connection of a large number of elementary links. The results of the computer simulation are also presented.

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用还原矩阵 D 树法分析复杂线性时变电路
摘要 本文提出了简化矩阵 D 树方法,它是矩阵 D 树方法的改进版。这种方法是对子电路方法之一,即所谓的 d 树方法在恒定参数线性电路符号分析中应用的进一步发展。缩减矩阵 D 树方法与 d 树方法一样,大大减少了电路建模所需的计算机时间,这具有数学意义,即在形成的复杂符号表达式中找出相似项。由于此类表达式中实际上存在许多符号项,因此时间的减少正是由于这种因式分解。我们用一个由大量基本链路级联组成的长线模型来说明这种方法。同时还介绍了计算机模拟的结果。
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来源期刊
Radioelectronics and Communications Systems
Radioelectronics and Communications Systems Engineering-Electrical and Electronic Engineering
CiteScore
2.10
自引率
0.00%
发文量
9
期刊介绍: Radioelectronics and Communications Systems  covers urgent theoretical problems of radio-engineering; results of research efforts, leading experience, which determines directions and development of scientific research in radio engineering and radio electronics; publishes materials of scientific conferences and meetings; information on scientific work in higher educational institutions; newsreel and bibliographic materials. Journal publishes articles in the following sections:Antenna-feeding and microwave devices;Vacuum and gas-discharge devices;Solid-state electronics and integral circuit engineering;Optical radar, communication and information processing systems;Use of computers for research and design of radio-electronic devices and systems;Quantum electronic devices;Design of radio-electronic devices;Radar and radio navigation;Radio engineering devices and systems;Radio engineering theory;Medical radioelectronics.
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