Authors

Ricardo Lopezlena, Jacquelien M.A. Scherpen

Abstract

An electromagnetic one-dimensional transmission line represented in distributed port-Hamiltonian form is lumped into a chain of subsystems whi preserve the port-Hamiltonian structure with inputs and outputs in collocated form. The procedure is essentially an adaptation of the procedure for discretization of Stokes-Dirac structures presented in (Clemente-Gallardo et al., 2002), that does not preserve the port-Hamiltonian structure after discretization. With some modifications essentially inspired on the finite difference paradigm, the procedure now results in a system that preserves the collocated port-Hamiltonian structure along with some other desirable conditions for interconnection. The simulation results are compared with those presented previously in (Golo et al., 2002).

Keywords

distributed parameter systems, electrical circuits, model approximation, models, partial differential equations

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 2004
  • Volume: 37
  • Issue: 21
  • Pages: 381–386
  • Publisher: Elsevier BV
  • DOI: 10.1016/s1474-6670(17)30498-6
  • Note: 2nd IFAC Symposium on System Structure and Control, Oaxaca, Mexico, December 8-10, 2004

BibTeX

@article{Lopezlena_2004,
  title={{Lumped Approximation of Transmission Line with an Alternative Geometric Discretization}},
  volume={37},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)30498-6},
  number={21},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Lopezlena, Ricardo and Scherpen, Jacquelien M.A.},
  year={2004},
  pages={381--386}
}

Download the bib file

References

  • Clemente-Gallardo, Geometric discretization of fluid dynamics. (2002)
  • Golo, Hamiltonian discretization of boundary control systems (2003)
  • Golo, Approximation of the telegrapher’s equations. (2002)
  • Lopezlena, On factorization, interconnection and reduction of collocated port-hamiltonian systems (2004)
  • Lopezlena, Energy-storage balanced reduction of port-hamiltonian systems. (2003)
  • Maschke, Portcontrolled hamiltonian representation of distributed parameter systems. (2000)
  • van der Schaft, Hamiltonian formulation of distributed - parameter systems with boundary energy flow. J. of Geometry and Physics (2001)