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