IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v418y2022ics0096300321009255.html
   My bibliography  Save this article

Efficient connection processing in equation–based object–oriented models

Author

Listed:
  • Marzorati, Denise
  • Fernández, Joaquin
  • Kofman, Ernesto

Abstract

This work introduces a novel methodology for transforming a large set of connections into the corresponding set of equations as required by the flattening stage of the compilation process of object oriented models. The proposed methodology uses a compact representation of the connections in the form of a Set–Based Graph, in which different sets of vertices and different sets of edges are formed exploiting the presence of regular structures. Using this compact representation, a novel algorithm is proposed to find the connected components of the Set–Based Graph. This algorithm, under certain restrictions, has the remarkable property of achieving constant computational costs with respect to the number of vertices and edges contained in each set. That way, under the mentioned restrictions, the proposed methodology can transform a large set of connections into the corresponding set of equations within a time that is independent on the size of the arrays contained in the model.

Suggested Citation

  • Marzorati, Denise & Fernández, Joaquin & Kofman, Ernesto, 2022. "Efficient connection processing in equation–based object–oriented models," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009255
    DOI: 10.1016/j.amc.2021.126842
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321009255
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126842?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Schweiger, G. & Nilsson, H. & Schoeggl, J. & Birk, W. & Posch, A., 2020. "Modeling and simulation of large-scale systems: A systematic comparison of modeling paradigms," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    2. Kofman, Ernesto & Fernández, Joaquín & Marzorati, Denise, 2021. "Compact sparse symbolic Jacobian computation in large systems of ODEs," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    3. Qin, Xiaolin & Tang, Juan & Feng, Yong & Bachmann, Bernhard & Fritzson, Peter, 2016. "Efficient index reduction algorithm for large scale systems of differential algebraic equations," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 10-22.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kofman, Ernesto & Fernández, Joaquín & Marzorati, Denise, 2021. "Compact sparse symbolic Jacobian computation in large systems of ODEs," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    2. Juan Tang & Yongsheng Rao, 2020. "A New Block Structural Index Reduction Approach for Large-Scale Differential Algebraic Equations," Mathematics, MDPI, vol. 8(11), pages 1-15, November.
    3. Li, Jiajia & Tian, Xin & Wei, Guoliang, 2022. "Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    4. Gerald Schweiger & Fabian Kuttin & Alfred Posch, 2019. "District Heating Systems: An Analysis of Strengths, Weaknesses, Opportunities, and Threats of the 4GDH," Energies, MDPI, vol. 12(24), pages 1-15, December.
    5. Arellano-García, María Evarista & Camacho-Gutiérrez, José Ariel & Solorza-Calderón, Selene, 2021. "Machine learning approach for higher-order interactions detection to ecological communities management," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    6. Qin, Xiaolin & Yang, Lu & Feng, Yong & Bachmann, Bernhard & Fritzson, Peter, 2018. "Index reduction of differential algebraic equations by differential Dixon resultant," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 189-202.
    7. Falay, Basak & Schweiger, Gerald & O’Donovan, Keith & Leusbrock, Ingo, 2020. "Enabling large-scale dynamic simulations and reducing model complexity of district heating and cooling systems by aggregation," Energy, Elsevier, vol. 209(C).
    8. Leusin, Matheus Eduardo & Uriona Maldonado, Mauricio & Herrera, Milton M., 2024. "Exploring the influence of Brazilian project cancellation mechanisms on new wind power generation," Renewable Energy, Elsevier, vol. 221(C).

    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:eee:apmaco:v:418:y:2022:i:c:s0096300321009255. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.