Scholarlink

<p>This work proposes a novel structure-preserving model reduction (<Emphasis FontCategory="SansSerif">MOR</Emphasis>) method for linear, time-invariant port-Hamiltonian (<Emphasis FontCategory="SansSerif">pH</Emphasis>) systems. Our goal is to construct a reduced-order <Emphasis FontCategory="SansSerif">pH</Emphasis> system, which can still be interpreted in the physical domain of the full order model. By this we mean, that if an electrical circuit is the initial high-dimensional <Emphasis FontCategory="SansSerif">pH</Emphasis> system, we want the reduced-order model to be still interpretable as an electronic circuit. In the case of the well-known mass spring damper (<Emphasis FontCategory="SansSerif">MSD</Emphasis>) system, there are <Emphasis FontCategory="SansSerif">MOR</Emphasis> methods available, which already guarantee the preservation of this particular structure. Moreover, we show that our new structure-preserving <Emphasis FontCategory="SansSerif">MOR</Emphasis> method, which is based on symplectic <Emphasis FontCategory="SansSerif">MOR</Emphasis> methods, will recover the known second-order Arnoldi method in the case of <Emphasis FontCategory="SansSerif">MSD</Emphasis> systems. However, for the example of an electrical circuit <Emphasis FontCategory="SansSerif">pH</Emphasis> model (and more models of similar block structure), our method yields a novel model reduction method. We present numerical results on the aforementioned electronic circuit model, highlighting the advantages of the proposed method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Symplectic model order reduction of port-Hamiltonian systems

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年7月11日

查看全文
  • Silke Glas,
  • Mir Mamunuzzaman,
  • Hongliang Mu,
  • Hans Zwart

摘要

This work proposes a novel structure-preserving model reduction (MOR) method for linear, time-invariant port-Hamiltonian (pH) systems. Our goal is to construct a reduced-order pH system, which can still be interpreted in the physical domain of the full order model. By this we mean, that if an electrical circuit is the initial high-dimensional pH system, we want the reduced-order model to be still interpretable as an electronic circuit. In the case of the well-known mass spring damper (MSD) system, there are MOR methods available, which already guarantee the preservation of this particular structure. Moreover, we show that our new structure-preserving MOR method, which is based on symplectic MOR methods, will recover the known second-order Arnoldi method in the case of MSD systems. However, for the example of an electrical circuit pH model (and more models of similar block structure), our method yields a novel model reduction method. We present numerical results on the aforementioned electronic circuit model, highlighting the advantages of the proposed method.