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

Authors :
Yao-Lin Jiang
Yao Huang
Kang-Li Xu
Source :
IEEE Transactions on Circuits and Systems II: Express Briefs. 69:1542-1546
Publication Year :
2022
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2022.

Abstract

In this paper, 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 e-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.

Details

ISSN :
15583791 and 15497747
Volume :
69
Database :
OpenAIRE
Journal :
IEEE Transactions on Circuits and Systems II: Express Briefs
Accession number :
edsair.doi...........f5e15a38d79eb6320a4e46e7c0ae0bc4
Full Text :
https://doi.org/10.1109/tcsii.2021.3120548