A Topological Procedure for Converting a Bond Graph to a Linear Graph

A procedure for converting causally assigned bond graphs into corresponding linear graphs is presented. Topological relations between bond graphs and linear graphs are stipulated. Correspondences between bonds of a bond graph and edges of a system graph, power flows on bonds and orientation of edges, and a causal assignment and the selection of a tree are discussed. Special consideration is given to the uniqueness of the results, odd loops, and causal loops.