Skip to main content

Advertisement

SpringerLink
Log in

Interruption flows for reliability evaluation of power distribution networks

  • Original Paper
  • Published:
Operational Research Aims and scope Submit manuscript

Abstract

Energy networks should strive for reliability. How can it be assessed, measured, and improved? What are the best trade-offs between investments and their worth? The flow-based framework for the reliability assessment of energy networks proposed in this paper addresses these questions with a focus on power distribution networks. The framework introduces the concept of iflows, or interruption flows, which translate the analytical reliability evaluation into solving a series of node balance equations computable in linear time. The iflows permeate the network, providing relevant information to support linear formulations of reliability optimization problems. Numerical examples showcase the evaluation process obtained through iflows in illustrative distribution networks with distributed generation. A new visual representation of the reliability state, called iflow diagram, provides insights into the most vulnerable regions of the network. The methodology was validated by a practical application of the iflows on the optimal allocation of switches in power distribution systems. Computational experiments were conducted using a benchmark of distribution networks, having up to 881 nodes. The results confirm the effectiveness of the approach in terms of providing high-quality information and optimal trade-offs to aid reliability decisions for energy networks.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Notes

  1. Data available at the address (last accessed in May 2021): http://www.dejazzer.com/reds.html.

References

  • Abiri-Jahromi A, Fotuhi-Firuzabad M, Parvania M et al (2012) Optimized sectionalizing switch placement strategy in distribution systems. IEEE Trans Power Deliv 27(1):362–370

    Article  Google Scholar 

  • Adefarati T, Bansal R (2017) Reliability assessment of distribution system with the integration of renewable distributed generation. Appl Energy 185:158–171

    Article  Google Scholar 

  • Ahuja RK, Magnanti TL, Orlin JB (1993) Network flows: theory, algorithms, and applications. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Aman MM, Jasmon GB, Mokhlis H et al (2016) Optimum tie switches allocation and dg placement based on maximisation of system loadability using discrete artificial bee colony algorithm. IET Gener, Transm Distrib 10(10):2277–2284

    Article  Google Scholar 

  • Assis LS, González JFV, Usberti FL et al (2015) Switch allocation problems in power distribution systems. IEEE Trans Power Syst 30(1):246–253

    Article  Google Scholar 

  • Benavides AJ, Ritt M, Buriol LS et al (2013) An iterated sample construction with path relinking method: application to switch allocation in electrical distribution networks. Comput Oper Res 40(1):24–32

    Article  Google Scholar 

  • Billinton R, Allan RN (1996) Reliability evaluation of power systems, 2nd edn. Plenum Press, New York

    Book  Google Scholar 

  • Billinton R, Jonnavithula S (1996) Optimal switching device placement in radial distribution systems. IEEE Trans Power Deliv 11(3):1646–1651

    Article  Google Scholar 

  • Borges CLT (2012) An overview of reliability models and methods for distribution systems with renewable energy distributed generation. Renew Sustain Energy Rev 16(6):4008–4015

    Article  Google Scholar 

  • Brown RE (2008) Electr Power Distrib Reliab, 2nd edn. CRC Press, New York

    Google Scholar 

  • Chismant JA (1998) Using discrete simulation modeling to study large-scale system reliability/availability. Comput Oper Res 25(3):169–174

    Article  Google Scholar 

  • Chowdhury A, Koval D (2009) Power distribution system reliability: practical methods and applications. Wiley-IEEE Press, Hoboken

    Book  Google Scholar 

  • Conti S, Nicolosi R, Rizzo SA (2012) Generalized systematic approach to assess distribution system reliability with renewable distributed generators and microgrids. IEEE Trans Power Deliv 27(1):261–270

    Article  Google Scholar 

  • Escalera A, Prodanović M, Castronuovo ED et al (2020) Contribution of active management technologies to the reliability of power distribution networks. Appl Energy 267(114):919. https://doi.org/10.1016/j.apenergy.2020.114919

    Article  Google Scholar 

  • Farajollahi M, Fotuhi-Firuzabad M, Safdarian A (2019) Simultaneous placement of fault indicator and sectionalizing switch in distribution networks. IEEE Trans Smart Grid 10(2):2278–2287

    Article  Google Scholar 

  • Ghiani E, Pilo F, Celli G (2018) Definition of smart distribution networks. In: Zare K, Nojavan S (eds) Operation of distributed energy resources in smart distribution networks. Academic Press, pp 1 – 23. https://doi.org/10.1016/B978-0-12-814891-4.00001-1

  • Gold Book (1998) IEEE recommended practice for the design of reliable industrial and commercial power systems. IEEE Std 493-1997 [IEEE Gold Book], pp 1–464

  • Heydt GT, Graf TJ (2010) Distribution system reliability evaluation using enhanced samples in a Monte Carlo approach. IEEE Trans Power Syst 25(4):2006–2008

    Article  Google Scholar 

  • Jooshaki M, Abbaspour A, Fotuhi-Firuzabad M et al (2020) Linear formulations for topology-variable-based distribution system reliability assessment considering switching interruptions. IEEE Trans Smart Grid 11(5):4032–4043. https://doi.org/10.1109/TSG.2020.2991661

    Article  Google Scholar 

  • Juanwei C, Tao Y, Yue X et al (2019) Fast analytical method for reliability evaluation of electricity-gas integrated energy system considering dispatch strategies. Appl Energy 242:260–272. https://doi.org/10.1016/j.apenergy.2019.03.106

    Article  Google Scholar 

  • Kavasseri R, Ababei C (2020) REDS: repository of distribution systems. http://www.dejazzer.com/reds.html. Accessed May 2021

  • Levitin G, Mazal-Tov S, Elmakis D (1994) Optimal sectionalizer allocation in electric distribution systems by genetic algorithm. Electric Power Syst Res 31(2):97–102

    Article  Google Scholar 

  • Li Z, Wu W, Tai X et al (2020) Optimization model-based reliability assessment for distribution networks considering detailed placement of circuit breakers and switches. IEEE Trans Power Syst 35(5):3991–4004. https://doi.org/10.1109/TPWRS.2020.2981508

    Article  Google Scholar 

  • Li Z, Wu W, Zhang B et al (2020) Analytical reliability assessment method for complex distribution networks considering post-fault network reconfiguration. IEEE Trans Power Syst 35(2):1457–1467. https://doi.org/10.1109/TPWRS.2019.2936543

    Article  Google Scholar 

  • Lin J, Cheng L, Chang Y et al (2014) Reliability based power systems planning and operation with wind power integration: a review to models, algorithms and applications. Renew Sustain Energy Rev 31:921–934

    Article  Google Scholar 

  • Muñoz-Delgado G, Contreras J, Arroyo JM (2018) Reliability assessment for distribution optimization models: a non-simulation-based linear programming approach. IEEE Trans Smart Grid 9(4):3048–3059

    Article  Google Scholar 

  • Rocha LF, Borges CLT, Taranto GN (2017) Reliability evaluation of active distribution networks including islanding dynamics. IEEE Trans Power Syst 32(2):1545–1552

    Google Scholar 

  • Tabares A, Muñoz-Delgado G, Franco JF et al (2019) An enhanced algebraic approach for the analytical reliability assessment of distribution systems. IEEE Trans Power Syst 34(4):2870–2879

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Brazilian research agency CNPq (proc. 435520/2018-0, 312647/2017-4) and Fapesp (proc. 2015/11937-9, 2016/08645-9).

Author information

Author notes

  1. F. L. Usberti, C. Cavellucci and C. Lyra are have no relevant financial or non-financial interests to disclose.

Authors and Affiliations

  1. Institute of Computing, University of Campinas, Av. Albert Einstein 1251, Campinas, SP, 13083-852, Brazil

    Fábio Luiz Usberti & Celso Cavellucci

  2. School of Electrical and Computer Engineering, University of Campinas, Albert Einstein 400, Campinas, SP, 13083-852, Brazil

    Christiano Lyra

Authors
  1. Fábio Luiz Usberti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Celso Cavellucci
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Christiano Lyra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fábio Luiz Usberti.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Usberti, F.L., Cavellucci, C. & Lyra, C. Interruption flows for reliability evaluation of power distribution networks. Oper Res Int J 23, 4 (2023). https://doi.org/10.1007/s12351-023-00758-w

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12351-023-00758-w

Keywords

Search

Navigation