A Port-Hamiltonian Approach to Modeling and Control of an Electro-Thermal Microgrid

Authors

Ajay Krishna, Johannes Schiffer

Abstract

We address the problems of modeling and controlling multi-energy microgrids (meMGs) composed of an electrical and a thermal system, which are connected via heat pumps (HPs). At first, we model the individual subsystems in a port-Hamiltonian (pH) framework. Then, by exploiting the structural properties of pH systems, we interconnect the subsystems in a passive manner and show that the overall meMG is shifted passive with respect to the control input-output mapping. We then use this property to propose a distributed passivity based-control (PBC) that addresses frequency and temperature regulation by utilizing the resources in the meMG in a proportional fashion and renders the closed-loop equilibrium asymptotically stable.

Keywords

Passivity-based control; port-Hamiltonian systems; multi-energy microgrids; district heating systems; distributed control

Citation

• Journal: IFAC-PapersOnLine
• Year: 2021
• Volume: 54
• Issue: 19
• Pages: 287–293
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2021.11.092
• Note: 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021- Berlin, Germany, 11-13 October 2021

BibTeX

@article{Krishna_2021,
  title={{A Port-Hamiltonian Approach to Modeling and Control of an Electro-Thermal Microgrid}},
  volume={54},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2021.11.092},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Krishna, Ajay and Schiffer, Johannes},
  year={2021},
  pages={287--293}
}

Download the bib file

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