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A bond graph is a graphical representation of a physical dynamic system. It allows the conversion of the system into a state-space representation . It is similar to a block diagram or signal-flow graph , with the major difference that the arcs in bond graphs represent bi-directional exchange of physical energy , while those in block diagrams ...
Simple-RC-Circuit-bond-graph-4.png (563 × 377 pixels, file size: 5 KB, MIME type: image/png) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
A simple mass–spring–damper system, and its equivalent bond-graph form. Bond graphs are a unique way of describing dynamic models, designed to model the interaction between different kinds of physical systems, like electrical, mechanical, hydraulical and chemical. This is possible because one thing all these components have in common is power.
20-sim is a commercial modeling and simulation program for multi-domain dynamic systems, which is developed by Controllab. 20-sim allows models to be entered as equations, block diagrams, bond graphs and physical components. 20-sim is used for modeling complex multi-domain systems and for the development of control systems.
A hybrid bond graph is a graphical description of a physical dynamic system with discontinuities (i.e., a hybrid dynamical system). Similar to a regular bond graph, it is an energy-based technique. However, it allows instantaneous switching of the junction structure, which may violate the principle of continuity of power (Mosterman and Biswas ...
A dipole graph containing n edges is called the size-n dipole graph, and is denoted by D n. The size-n dipole graph is dual to the cycle graph C n. The honeycomb as an abstract graph is the maximal abelian covering graph of the dipole graph D 3, while the diamond crystal as an abstract graph is the maximal abelian covering graph of D 4.
The dual matroids of graphic matroids are called co-graphic matroids or bond matroids. [1] A matroid that is both graphic and co-graphic is sometimes called a planar matroid (but this should not be confused with matroids of rank 3, which generalize planar point configurations); these are exactly the graphic matroids formed from planar graphs .
Thus the bond graph separates the structure (a relationship between current and voltage that leads to a dissipation of energy) from the causality (assignment of input and output). In a more complex system, you can define the relationships between all the components without having to worry about which variables might be inputs and which outputs.