Two‐graph analysis of pathological equivalent networks
Two‐graph analysis of pathological equivalent networks
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DOI：
10.1002/cta.1997
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发表时间：
2015-09
影响因子：
2.3
通讯作者：
G. Shi
中科院分区：
文献类型：
--
作者：
G. Shi
近年来，人们提出了抽象的电流镜像和电压镜像元件，用于有源模拟模块的行为建模。这种人为元素与传统上使用的零元素一起被称为病理元素。病理因子在活动网络的建模和分析中非常有用。因此，研究人员一直在研究包含病理因素的网络的符号分析方法。然而，迄今为止，只制定了节点导纳矩阵分析。在这项工作中，提出了一种替代的二图方法，它的优点是为后续的符号项生成提供了紧凑的中间形式。对于紧二图表示，可以采用矩阵法或树枚举法。为了完整起见，本文扩展了经典的二图理论，以涵盖所有四种类型的依赖源和所有病理要素。举例说明了用二图法生成紧凑符号项的原理。版权所有©2014 John Wiley & Sons， Ltd。
Recently, abstract current mirror and voltage mirror elements have been proposed for behavioral modeling of active analog blocks. Such artificial elements and the traditionally used nullor element together are called pathological elements in the literature. Pathological elements are very useful in modeling and analysis of active network. Hence, researchers have been motivated to study symbolic analysis methods for networks containing pathological elements. However, so far, only nodal admittance matrix analysis has been formulated. In this work, an alternative two‐graph method is formulated, which has the advantage of providing a compact intermediate form for subsequent symbolic term generation. With a compact two‐graph representation, either a matrix method or a tree enumeration method can be employed. For completeness, the classical two‐graph theory has been extended in this paper to encompass all four types of dependent sources and all pathological elements. Illustrative examples are presented to demonstrate the principle of compact symbolic term generation by the presented two‐graph method. Copyright © 2014 John Wiley & Sons, Ltd.