Basis order for bond-graph junction structures

Junction structures are bond graph representations of the multiport topology of energy-based systems. The basis variable order is the number of independent effort variables and flow variables that must be specified for a particular topology. Two algebraic equations are developed that predict the effort-flow basis order for an arbitrary simple junction structure (SJS). These numbers are shown to be completely determined by the topological characteristics of the SJS. The results are extended to weighted junction structures.