Development of Unified Morphological Models for the Research of Different Physical Processes in Electronic Systems

Y. Kofanov, S. Y. Sotnikova, Maxim A. Skachko
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Abstract

The paper proposes morphological models for the analysis of complex electronic systems quality criterion. The reason for resorting to morphological models is the need to increase attention to improving the quality and reliability of electronic systems in the early design stages. At the same time, many difficulties of mathematical modeling of the investigated heterogeneous physical processes occurring in electronic systems are solved. In this paper, the unification of the notation and the image of components based on analogies of mathematical descriptions. In linear synthesis morphological models in the form of connection of multipolar systems are offered. But they allow you to explore the electrical, mechanical and thermal processes only in linear approximation. In contrast to this representation, the paper also proposes unified view of morphological models in the form of a hypergraph, which will cover nonlinear cases.
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电子系统中不同物理过程研究的统一形态模型的发展
本文提出了用于复杂电子系统质量准则分析的形态学模型。采用形态模型的原因是需要在早期设计阶段增加对提高电子系统质量和可靠性的关注。同时,解决了所研究的电子系统中发生的异构物理过程的数学建模的许多困难。本文在数学描述类比的基础上,提出了构件符号与意象的统一。在线性综合中,给出了多极系统连接形式的形态模型。但是它们只允许你在线性近似下探索电学,力学和热学过程。与此相反,本文还提出了超图形式的形态模型的统一视图,这将涵盖非线性情况。
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