IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i20p7592-d942349.html
   My bibliography  Save this article

A Mathematical Approach of Voltage Sag Analysis Incorporating Bivariate Probability Distribution in a Meshed System

Author

Listed:
  • Jagannath Patra

    (Department of Electrical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India)

  • Nitai Pal

    (Department of Electrical Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India)

Abstract

In this paper, different mathematical expressions are derived to compute the residual magnitude of voltage caused by faults along the line and on the bus. Symmetrical and unsymmetrical faults are taken into consideration, and the consequences of the various fault distributions are considered. A new way of assessing a sag is proposed that incorporates the method of fault position and mathematical expression based on sequence currents and voltages. The fault impedance is introduced to obtain a better result. A fast and efficient load flow analysis technique produces quick computational results. In addition, the sag analysis is performed using the bivariate joint discrete probability distribution method that gives a clear idea about the probability of occurrence of sag in a meshed network. The suggested approach is applied in the IEEE 39-bus system and with an existing real-time electrical power distribution system in India.

Suggested Citation

  • Jagannath Patra & Nitai Pal, 2022. "A Mathematical Approach of Voltage Sag Analysis Incorporating Bivariate Probability Distribution in a Meshed System," Energies, MDPI, vol. 15(20), pages 1-19, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7592-:d:942349
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/20/7592/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/15/20/7592/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alexandre Serrano-Fontova & Pablo Casals Torrens & Ricard Bosch, 2019. "Power Quality Disturbances Assessment during Unintentional Islanding Scenarios. A Contribution to Voltage Sag Studies," Energies, MDPI, vol. 12(16), pages 1-21, August.
    2. Édison Massao Motoki & José Maria de Carvalho Filho & Paulo Márcio da Silveira & Natanael Barbosa Pereira & Paulo Vitor Grillo de Souza, 2021. "Cost of Industrial Process Shutdowns Due to Voltage Sag and Short Interruption," Energies, MDPI, vol. 14(10), pages 1-21, May.
    3. Alena Otcenasova & Roman Bodnar & Michal Regula & Marek Hoger & Michal Repak, 2017. "Methodology for Determination of the Number of Equipment Malfunctions Due to Voltage Sags," Energies, MDPI, vol. 10(3), pages 1-26, March.
    4. Sinan Küfeoğlu & Matti Lehtonen, 2016. "Macroeconomic Assessment of Voltage Sags," Sustainability, MDPI, vol. 8(12), pages 1-12, December.
    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. Jagannath Patra & Nitai Pal & Harish Chandra Mohanta & Reynah Akwafo & Heba G. Mohamed, 2023. "A Novel Approach of Voltage Sag Data Analysis Stochastically: Study, Representation, and Detection of Region of Vulnerability," Sustainability, MDPI, vol. 15(5), pages 1-29, February.
    2. Michele Zanoni & Riccardo Chiumeo & Liliana Tenti & Massimo Volta, 2023. "What Else Do the Deep Learning Techniques Tell Us about Voltage Dips Validity? Regional-Level Assessments with the New QuEEN System Based on Real Network Configurations," Energies, MDPI, vol. 16(3), pages 1-24, January.
    3. Joong-Woo Shin & Young-Woo Youn & Jin-Seok Kim, 2023. "Voltage Sag Mitigation Effect Considering Failure Probability According to the Types of SFCL," Energies, MDPI, vol. 16(2), pages 1-10, January.

    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. Xiaohan Guo & Yong Li & Shaoyang Wang & Yijia Cao & Mingmin Zhang & Yicheng Zhou & Nakanishi Yosuke, 2021. "A Comprehensive Weight-Based Severity Evaluation Method of Voltage Sag in Distribution Networks," Energies, MDPI, vol. 14(19), pages 1-13, October.
    2. Wagner A. Vilela Junior & Antonio P. Coimbra & Gabriel A. Wainer & Joao Caetano Neto & Jose A. G. Cararo & Marcio R. C. Reis & Paulo V. Santos & Wesley P. Calixto, 2021. "Analysis and Adequacy Methodology for Voltage Violations in Distribution Power Grid," Energies, MDPI, vol. 14(14), pages 1-21, July.
    3. Mingang Tan & Chaohai Zhang & Bin Chen, 2022. "Size Estimation of Bulk Capacitor Removal Using Limited Power Quality Monitors in the Distribution Network," Sustainability, MDPI, vol. 14(22), pages 1-14, November.
    4. Yonghai Xu & Xingguan Fan & Siying Deng & Chunhao Niu, 2021. "A Voltage Sag Severity Evaluation Method for the System Side Which Considers the Influence of the Voltage Tolerance Curve and Sag Type," Energies, MDPI, vol. 14(16), pages 1-22, August.
    5. Pavan Babu Bandla & Indragandhi Vairavasundaram & Yuvaraja Teekaraman & Ramya Kuppusamy & Srete Nikolovski, 2021. "Real Time Sustainable Power Quality Analysis of Non-Linear Load under Symmetrical Conditions," Energies, MDPI, vol. 15(1), pages 1-16, December.
    6. Javier Fernández-Morales & Juan-José González-de-la-Rosa & José-María Sierra-Fernández & Olivia Florencias-Oliveros & Paula Remigio-Carmona & Manuel-Jesús Espinosa-Gavira & Agustín Agüera-Pérez & José, 2022. "Methodology for the Surveillance the Voltage Supply in Public Buildings Using the ITIC Curve and Python Programming," Data, MDPI, vol. 7(11), pages 1-10, November.
    7. Juan-José González de-la-Rosa & Manuel Pérez-Donsión, 2020. "Special Issue “Analysis for Power Quality Monitoring”," Energies, MDPI, vol. 13(3), pages 1-6, January.
    8. Alexandre Serrano-Fontova & Pablo Casals Torrens & Ricard Bosch, 2019. "Power Quality Disturbances Assessment during Unintentional Islanding Scenarios. A Contribution to Voltage Sag Studies," Energies, MDPI, vol. 12(16), pages 1-21, August.
    9. Alena Otcenasova & Roman Bodnar & Michal Regula & Marek Hoger & Michal Repak, 2017. "Methodology for Determination of the Number of Equipment Malfunctions Due to Voltage Sags," Energies, MDPI, vol. 10(3), pages 1-26, March.
    10. Jagannath Patra & Nitai Pal & Harish Chandra Mohanta & Reynah Akwafo & Heba G. Mohamed, 2023. "A Novel Approach of Voltage Sag Data Analysis Stochastically: Study, Representation, and Detection of Region of Vulnerability," Sustainability, MDPI, vol. 15(5), pages 1-29, February.
    11. Pau Casals-Torrens & Juan A. Martinez-Velasco & Alexandre Serrano-Fontova & Ricard Bosch, 2020. "Assessment of Unintentional Islanding Operations in Distribution Networks with Large Induction Motors," Energies, MDPI, vol. 13(2), pages 1-25, January.
    12. Valery Pupin & Victor Orlov, 2023. "Modeling of Electrical Systems for Uninterrupted Operation of Drives in Case of Short-Term Distortions in the Supply Networks," Energies, MDPI, vol. 16(10), pages 1-20, May.
    13. Gabriel Nicolae Popa, 2022. "Electric Power Quality through Analysis and Experiment," Energies, MDPI, vol. 15(21), pages 1-14, October.
    14. Horia Gheorghe Beleiu & Ioana Natalia Beleiu & Sorin Gheorghe Pavel & Cosmin Pompei Darab, 2018. "Management of Power Quality Issues from an Economic Point of View," Sustainability, MDPI, vol. 10(7), pages 1-16, July.
    15. Fabio Mottola & Daniela Proto & Pietro Varilone & Paola Verde, 2020. "Planning of Distributed Energy Storage Systems in μGrids Accounting for Voltage Dips," Energies, MDPI, vol. 13(2), pages 1-20, January.
    16. Michele Zanoni & Riccardo Chiumeo & Liliana Tenti & Massimo Volta, 2023. "What Else Do the Deep Learning Techniques Tell Us about Voltage Dips Validity? Regional-Level Assessments with the New QuEEN System Based on Real Network Configurations," Energies, MDPI, vol. 16(3), pages 1-24, January.
    17. Gabriel Nicolae Popa & Angela Iagăr & Corina Maria Diniș, 2020. "Considerations on Current and Voltage Unbalance of Nonlinear Loads in Residential and Educational Sectors," Energies, MDPI, vol. 14(1), pages 1-29, December.
    18. Thongchart Kerdphol & Fathin Saifur Rahman & Yasunori Mitani, 2018. "Virtual Inertia Control Application to Enhance Frequency Stability of Interconnected Power Systems with High Renewable Energy Penetration," Energies, MDPI, vol. 11(4), pages 1-16, April.

    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:15:y:2022:i:20:p:7592-:d:942349. 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.