Analysis of electromagnetic systems using the extended bond graph method: mechanically static systems

Analytically deriving models for complex electromagnetic devices is often difficult because distributed fields govern their behavior. Fields are vector quantities, and it is often difficult to derive model parameters using traditional one-dimensional assumptions. The extended bond graph method was developed for modeling systems governed by vector and tensor equations. By applying conservation of energy and Maxwell's equations, a general extended bond graph for an electromagnetic system can be derived. If electromagnetic fields are represented as expansions of magnetic potential, Galerkin's method can be used to reticulate the system into discrete power elements. This provides a unified approach to deriving models for complex electromagnetic systems.