MODELING OF DISTRIBUTED ELECTROMECHANICAL SYSTEMS USING EXTENDED BONDGRAPHS

The Extended Bond Graph (EBG) method is used to developed a network mo del for distributed electromechanical systems. The mechanical and magn etoquasistatic fields are written in terms of the defined displacement and momentum states, and Galerkin's method is used to reticulate the distributed systems into discrete power-based representations. Using t hese EBG descriptions, the energy storage, dissipation and external so urces for the distributed systems are reticulated as multiport element s with associated power bonds. The EBG junction structures connecting the power bonds to these multiport elements are established for the me chanical and magnetoquasistatic energy modes by enforcing power balanc e principles. The coupling effects of the distributed electromechanica l systems are also consistently reticulated into a power-based multi-e nergetic, multiport IC element to connect the two junction structures. The energy stored in this IC element is contributed to simultaneously by the electromechanically-induced distributed forces and currents. T he power flows associated with these forces and currents are directed to each energetic domain to satisfy the power balance relations. The o verall EBG network reticulation provides a unified way to model nonuni form mechanical and magnetoquasistatic fields in distributes electrome chanical systems.