We give an overview of part of the chapter of the Geoplex book devoted to examples, specifically the one which deals with electromechanical systems. We study a rather complex example of a port Hamiltonian system made of two subsystems, presenting each some remarkable characteristics, namely interconnection structures which depend either on the system state or on a discontinuous control variable. The first subsystem, a doubly-fed induction machine (DFIM), like most rotating electric machinery, has a complicated, geometry depending energy function, encoding in a lumped parameter description the interaction of the stator and rotor magnetic field. After a coordinate change, this dependence can be absorbed into the intercommunication structure, resulting in a model which has the additional feature of yielding itself quite easily to the formulation of sensible control problems. The second subsystem, a back-to-back (B2B) power converter made of a rectifier and an inverter, also has, this time from the beginning, an interconnection structure which caries the topology of the system, and which can be controlled by the state of a set of switches. We describe the detailed port Hamiltonian structure of both subsystems, their interconnection and the design of suitable IDA.PBC controllers for both of them. The associated bond-graph description is also presented, and simulations using 20sim are run

Peer Reviewed