Deriving transfer functions from bond graphs by application of Grassmann algebra

The method proposed in the paper is an alternative methodology for obtaining transfer functions in symbolic form for systems modelled by bond graphs. The method is based on the transformation of bond graph into Coates graph and application of Grassmann algebra for evaluating the system determinants. However, in the method it is not necessary to obtain the Coates graph for given bond graph – the components for evaluating matrices by Grassmann algebra can be read directly from the bond graph.