Structure Preserving Port-Hamiltonian Model Reduction of Electrical Circuits

Authors

Rostylav V. Polyuga, Arjan J. van der Schaft

Abstract

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.

Citation

• ISBN: 9789400700888
• Publisher: Springer Netherlands
• DOI: 10.1007/978-94-007-0089-5_14

BibTeX

@inbook{Polyuga_2011,
  title={{Structure Preserving Port-Hamiltonian Model Reduction of Electrical Circuits}},
  ISBN={9789400700895},
  ISSN={1876-1119},
  DOI={10.1007/978-94-007-0089-5_14},
  booktitle={{Model Reduction for Circuit Simulation}},
  publisher={Springer Netherlands},
  author={Polyuga, Rostylav V. and van der Schaft, Arjan J.},
  year={2011},
  pages={241--260}
}

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References

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