键合空间模型拓扑结点表示及状态方程推导

Indication with Points of Topology and the Derivation Method of State functions for the Models of Bond space

键合空间理论是系统动力学键合图理论的拓展。键合空间模型如同键合图模型一样可以通过图示符号模型的自动推导而得到系统的状态方程。该文首先论述了键合空间模型结点的确定法则 ,提出了键合空间模型结点拓扑表述方法 ,由此得到了以结点为中心的键合空间模型自动推导方法———拓扑结点法。相对于以键号为中心的自动推导方法来讲 ,拓扑结点法可以使键合空间模型数学描述更为精练 。

The Bond-space theory is the development of the bond graph theory of system dynamics. The models of bond space,just like the models of bond graph,can gain systemic state functions by means of the automatic derivation of the models of graph symbols.In this paper the writer discussed the rules of determining the points of topology in the models of the bond space,raised the expression of the points of topology for the models of bond space,and gained the automatic derivation method using the points of topology for models of bond space. As compared with the derivation method using the serial numbers of bonds,the method using points of topology can bring up the preciseness and efficiency of the mathematical descriptions and automatic derivation for the models of bond space.