Model Order Reduction of RLC Circuit System Modeled by Port-Hamiltonian Structure

Authors

Yao Huang, Yao-Lin Jiang, Kang-Li Xu

Abstract

In this brief, we consider the port-Hamiltonian (PH) modeling of general RLC circuits, then explore the model order reduction (MOR) of corresponding port-Hamiltonian differential algebra equation (PH-DAE) systems. Specifically, by directed graphs, the general RLC circuits are firstly modeled as PH-DAE systems which imply the important passivity property. Based on \( \varepsilon \) -embedding and parametric moment matching techniques, MOR is implemented to the PH-DAE system, and the corresponding reduced system preserves PH-DAE structure and then preserves the passivity property. In addition, we prove that the reduced parametric PH system obtained by only one-side projection can preserve three times moments which indicates better accuracy in theory, and the error estimation between PH-DAE system and parametric PH system is also provided.

Citation

• Journal: IEEE Transactions on Circuits and Systems II: Express Briefs
• Year: 2022
• Volume: 69
• Issue: 3
• Pages: 1542–1546
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• DOI: 10.1109/tcsii.2021.3120548

BibTeX

@article{Huang_2022,
  title={{Model Order Reduction of RLC Circuit System Modeled by Port-Hamiltonian Structure}},
  volume={69},
  ISSN={1558-3791},
  DOI={10.1109/tcsii.2021.3120548},
  number={3},
  journal={IEEE Transactions on Circuits and Systems II: Express Briefs},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Huang, Yao and Jiang, Yao-Lin and Xu, Kang-Li},
  year={2022},
  pages={1542--1546}
}

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