IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i11p4279-d1153845.html
   My bibliography  Save this article

Unique Symbolic Factorization for Fast Contingency Analysis Using Full Newton–Raphson Method

Author

Listed:
  • Hakim Bennani

    (Mathematic Computer and Engineering Department, University of Quebec at Rimouski, Rimouski, QC G5L 3A1, Canada)

  • Ahmed Chebak

    (Green Teck Institute, Mohammed VI Polytechnic University, Benguerir 43150, Morocco)

  • Abderrazak El Ouafi

    (Mathematic Computer and Engineering Department, University of Quebec at Rimouski, Rimouski, QC G5L 3A1, Canada)

Abstract

Contingency analysis plays an important role in assessing the static security of a network. Its purpose is to check whether a system can operate safely when some elements are out of service. In a real-time application, the computational time required to perform the calculation is paramount for operators to take immediate actions to prevent cascading outages. Therefore, the numerical performance of the contingency analysis is the main focus of this current research. In power flow calculation, when solving the network equations with a sparse matrix solver, most of the time is spent factorizing the Jacobian matrix. In terms of computation time, the symbolic factorization is the costliest operation in the LU (Lower-upper) factorization process. This paper proposes a novel method to perform the calculation with only one symbolic factorization using a full Newton–Raphson-based generic formulation and modular approach (GFMA). The symbolic factorization retained can be used during the iterations of any power flow contingency scenario. A computer study demonstrates that reusing the same symbolic factorization greatly reduces computation time and improves numerical performance. Power system security assessment under N-1 and N-2 contingency conditions is performed for the IEEE standard 54-bus and 108-bus to evaluate the numerical performance of the proposed method. A comparison with the conventional power flow method shows that the time required for the analysis is shortened considerably, with a minimum gain of 228%. The comparative analysis demonstrates that the proposed solution has better numerical performance for large-scale networks.

Suggested Citation

  • Hakim Bennani & Ahmed Chebak & Abderrazak El Ouafi, 2023. "Unique Symbolic Factorization for Fast Contingency Analysis Using Full Newton–Raphson Method," Energies, MDPI, vol. 16(11), pages 1-17, May.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:11:p:4279-:d:1153845
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/11/4279/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/16/11/4279/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Baljinnyam Sereeter & Kees Vuik & Cees Witteveen, 2017. "Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks," Energies, MDPI, vol. 10(10), pages 1-20, October.
    2. Hrvoje Bulat & Dubravko Franković & Saša Vlahinić, 2021. "Enhanced Contingency Analysis—A Power System Operator Tool," Energies, MDPI, vol. 14(4), pages 1-21, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wesley Prado Leão dos Santos & Alfredo Bonini Neto & Luís Roberto Almeida Gabriel Filho, 2023. "Post-Contingency Loading Margin through Plane Change in the Continuation Power Flow," Energies, MDPI, vol. 16(22), pages 1-13, November.

    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. Harshavardhan Palahalli & Paolo Maffezzoni & Giambattista Gruosso, 2021. "Gaussian Copula Methodology to Model Photovoltaic Generation Uncertainty Correlation in Power Distribution Networks," Energies, MDPI, vol. 14(9), pages 1-16, April.
    2. Konstantinos Kotsalos & Ismael Miranda & Nuno Silva & Helder Leite, 2019. "A Horizon Optimization Control Framework for the Coordinated Operation of Multiple Distributed Energy Resources in Low Voltage Distribution Networks," Energies, MDPI, vol. 12(6), pages 1-27, March.
    3. Anuwat Chanhome & Surachai Chaitusaney, 2021. "A Modification of Newton–Raphson Power Flow for Using in LV Distribution System," Energies, MDPI, vol. 14(22), pages 1-19, November.
    4. Szymon Żurek & Maksymilian Przygrodzki, 2023. "The Use of a Regulating Transformer for Shaping Power Flow in the Power System," Energies, MDPI, vol. 16(3), pages 1-27, February.
    5. Baljinnyam Sereeter & Werner van Westering & Cornelis Vuik & Cees Witteveen, 2019. "Linear Power Flow Method Improved With Numerical Analysis Techniques Applied to a Very Large Network," Energies, MDPI, vol. 12(21), pages 1-15, October.
    6. Maria Eliza Kootte & Cornelis Vuik, 2021. "Steady-State Stand-Alone Power Flow Solvers for Integrated Transmission-Distribution Networks: A Comparison Study and Numerical Assessment," Energies, MDPI, vol. 14(18), pages 1-19, September.
    7. Zain Anwer Memon & Riccardo Trinchero & Yanzhao Xie & Flavio G. Canavero & Igor S. Stievano, 2020. "An Iterative Scheme for the Power-Flow Analysis of Distribution Networks based on Decoupled Circuit Equivalents in the Phasor Domain," Energies, MDPI, vol. 13(2), pages 1-16, January.
    8. Chi-Thang Phan-Tan & Martin Hill, 2020. "Efficient Unbalanced Three-Phase Network Modelling for Optimal PV Inverter Control," Energies, MDPI, vol. 13(11), pages 1-14, June.

    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:gam:jeners:v:16:y:2023:i:11:p:4279-:d:1153845. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.