Geometric formulation of generalized bond graph models - Part I: Generalized junction structures

This paper deals with the extraction of input-output equations that describe a generalized junction structure. This is done by associating a Dirac structure to the generalized junction structure. Since any Dirac structure admits a hybrid input-output representation, the input-output equations for the generalized junction structure can be found. The tools necessary for the manipulation of these equations are also developed. An algorithm for practical extraction of these equations is given. Also, it is analyzed when a general junction structure is singular, and an algorithm for reducing a singular generalized junction structure to a non-singular one is provided.