This paper discusses model reduction of electrical circuits based on a port-Hamiltonian representation. It is shown that by the use of the Kalman decomposition an uncontrollable and/or unobservable port-Hamiltonian system is reduced to a controllable/observable system that inherits the port-Hamiltonian structure. Energy and co-energy variable representations for port-Hamiltonian systems are defined and the reduction procedures are used for both representations. These exact reduction procedures motivate two approximate reduction procedures that are structure preserving for general port-Hamiltonian systems, one reduction procedure is called the effort-constraint reduction methods. The other procedure is structure preserving under a given condition. A numerical example illustrating the model reduction of a ladder network as a port-Hamiltonian system is considered. © 2011 Springer Science+Business Media B.V.
CITATION STYLE
Polyuga, R. V., & Van Der Schaft, A. J. (2011). Structure preserving port-Hamiltonian model reduction of electrical circuits. In Lecture Notes in Electrical Engineering (Vol. 74 LNEE, pp. 241–260). https://doi.org/10.1007/978-94-007-0089-5_14
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