Power-controlled Hamiltonian systems: Application to electrical systems with constant power loads

Authors

Pooya Monshizadeh, Juan E. Machado, Romeo Ortega, Arjan van der Schaft

Abstract

We study a type of port-Hamiltonian system in which the controller or disturbance is not applied to the flow variables, but to the systems power balance equation—a scenario that appears in many practical applications. A suitable framework is provided to model these systems and to investigate their shifted passivity properties, based on which a stability analysis is carried out. The applicability of the results is illustrated with the important problem of stability analysis of electrical circuits with constant power loads.

Keywords

Port-Hamiltonian systems; Passivity theory; Stability of nonlinear systems; Constant power loads

Citation

• Journal: Automatica
• Year: 2019
• Volume: 109
• Issue:
• Pages: 108527
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2019.108527

BibTeX

@article{Monshizadeh_2019,
  title={{Power-controlled Hamiltonian systems: Application to electrical systems with constant power loads}},
  volume={109},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2019.108527},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Monshizadeh, Pooya and Machado, Juan E. and Ortega, Romeo and van der Schaft, Arjan},
  year={2019},
  pages={108527}
}

Download the bib file

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