Bond graphs II: Causality and singularity

The Mathematical Foundations of Bond Graphs-IV. Matrix Representations and Causality

The development of a mathematical theory for bond graphs continues with an analysis qf two areas crucial to the derivation of system equations,from a bond graph model. Matri.y representations of bond graph matroids ure exumined and used to provide a rigorous proof of the mathematical equivalence sf‘ the linear graph and bond graph modelling methods. The procedure of selecting causality by the m...

Bond Graphs III: Bond Graphs and Electrical Networks

Electrical networks are defined and a definition of when a bond graph and an electrical network are equivalent is given. Bond graphs and electrical networks are defined to be primitive if they contain no transformers or gyrators. A bond graph is defined to be realisable if it is equivalent to an electrical network and primitively realisable if it is equivalent to a primitive electrical network....

Comparative Quantum Cosmology: Causality, Singularity, and Boundary Conditions

Mode Initialization when Simulating Switched Bond Graphs, version II

When simulating hybrid systems using switched bond graphs, the initialization of new modes is made by using a generalization of the principle of momentum conservation. Here it is shown how to use causality propagation to get an efficient initialization algorithm. By looking at causal paths, set of variables that have to be initialized simultaneously are found. Furthermore, it is shown how impul...

Bond Graphs

The topic area that has become commonly known as ‘bond graph modeling and simulation’ should be separated into at the one hand the port-based approach to modeling and simulation and at the other hand the bond graph notation that is well suited to represent the port-concept. For this reason both the notation and the concepts directly related to the notation will be separated as much as possible ...