IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-030-95157-3_12.html
   My bibliography  Save this book chapter

Developments in the Computation of Reduced Order Models with the Use of Dominant Spectral Zeros

In: Realization and Model Reduction of Dynamical Systems

Author

Listed:
  • Francisco Damasceno Freitas

    (University of Brasilia, Department of Electrical Engineering)

  • Joost Rommes

    (Siemens)

  • Nelson Martins

    (Electrical Energy Research Center - CEPEL)

Abstract

In this report we present a study on the computation of dominant spectral-zeros (DSZ) of a full order model (FOM) and its application to determining a passivity-preserving reduced order model (ROM). The study demonstrates that introducing a properly scaled transmission term into a Hamiltonian system allows one to more effectively compute the DSZs by using as their initial estimates in the iterative process, the poles of the original FOM. As the original dynamical system has half the dimension of the Hamiltonian system used for computing the DSZs, this strategy may speed up the overall computation by an iterative algorithm, such as the subspace accelerated dominant pole algorithm (SADPA). Additionally, we introduce alternative expressions for the input and output matrices in the Hamiltonian system which do not depend on the matrix D (avoiding its inverse) associated with the direct transmission term of the output signal and assess the DSZ computational gains achieved. Numerical experiments are shown for three test-systems, including a 4028-state model.

Suggested Citation

  • Francisco Damasceno Freitas & Joost Rommes & Nelson Martins, 2022. "Developments in the Computation of Reduced Order Models with the Use of Dominant Spectral Zeros," Springer Books, in: Christopher Beattie & Peter Benner & Mark Embree & Serkan Gugercin & Sanda Lefteriu (ed.), Realization and Model Reduction of Dynamical Systems, pages 215-233, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-95157-3_12
    DOI: 10.1007/978-3-030-95157-3_12
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-030-95157-3_12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.