Model Order Reduction of RLC Circuit System Modeled by Port-Hamiltonian Structure
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS(2022)
摘要
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 epsilon-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.
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关键词
Integrated circuit modeling, RLC circuits, Mathematical models, Circuits and systems, Voltage, Transfer functions, Symmetric matrices, Model order reduction, port-Hamiltonian, epsilon-embedding technique}, passivity, X-Hermitian matrix
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