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A new method, using the graph theoretical approach, for obtaining symbolic state equations of linear electronic circuits

机译:一种新方法,使用曲线图理论方法,用于获得线性电子电路的符号状态方程

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The state-space modelling of linear time-invariant electronic circuits without degeneracies is considered in this paper. The principal idea is to represent an electronic circuit as the interconnection of several integrators. A special type of directed graph (digraph) is used to describe the electronic circuit from the topological equations (voltages and currents) and the equations of component parts. An algorithm based on the analysis of this digraph is proposed which directly obtains the symbolic matrices of the state-space model of the circuit. From this digraph, various symbolic transfer function equations can be generated that express the desired relationships between variables of interest. The algorithm to find symbolic transfer function produces the results of the well-known Mason's reduction formula. A topological interpretation of sensitivity has been made to obtain symbolic sensitivity functions easily.
机译:本文考虑了没有退化的线性时间不变电子电路的状态空间建模。 主要思想是将电子电路代表为几个集成器的互连。 一种特殊类型的定向图(Digraph)用于描述来自拓扑方程(电压和电流)的电子电路和部件部件的方程。 提出了一种基于该数字分析的算法,其直接获得电路的状态空间模型的符号矩阵。 从该数字中,可以生成各种符号传递函数方程,其表达感兴趣的变量之间的所需关系。 找到符号传递函数的算法会产生众所周知的梅森的还原公式的结果。 已经进行了对敏感性的拓扑解释,以容易地获得符号敏感功能。

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