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Cited by 27Optimal Power Flow DistributionElectric Power System OptimizationPower System Optimization and Stability

Comparison of linear and conic power flow formulations for unbalanced low voltage network optimization

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Vanin, Marta, Ergun, Hakan, D’hulst, Reinhilde, Van Hertem, Dirk·2020·Electric Power Systems Research
DOI 10.1016/j.epsr.2020.106699
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  • User comfort was neglected in [29].

    “user comfort was neglected.”

    From Congestion mitigation in unbalanced residential networks with OPF-based demand management (2022) · cites this paper as [29]

    The paper’s “Subject to” section says its objective is to maximize user comfort, and “Problem 4: MIP–BIM and BFM” defines an objective that reduces user demand as little as possible. Although the example places no limit on how long users may be asked to provide flexibility, the paper does not neglect user comfort. (LLM, conf=0.94)

    Checked by a reasoning model — may be wrong.

    Experimental — accuracy not yet measured

  • A simplified version of the MILP problem was presented in a previous paper [29].

    “A simplified version of the MILP problem was presented in a previous paper [29].”

    From Congestion mitigation in unbalanced residential networks with OPF-based demand management (2022) · cites this paper as [29]

  • The scope of [29] was to show that the used power flow formulation is suitable for mixed-integer problems like the one addressed in this work.

    “The scope of [29] was to show that the used power flow formulation is suitable for mixed-integer problems like the one addressed in this work”

    From Congestion mitigation in unbalanced residential networks with OPF-based demand management (2022) · cites this paper as [29]

  • The basic MILP problem in [29] is here extended with user comfort constraints and is framed in a DSO-user contractual scheme which is applicable in real life.

    “The basic MILP problem in [29] is here extended with user comfort constraints and is framed in a DSO-user contractual scheme which is applicable in real life.”

    From Congestion mitigation in unbalanced residential networks with OPF-based demand management (2022) · cites this paper as [29]

  • A comparison of power flow formulations in [29] shows that the chosen linearization provides very accurate results for LVDNs.

    “A comparison of power flow formulations is performed in [29], which shows that the chosen linearization provides very accurate results for LVDNs.”

    From Congestion mitigation in unbalanced residential networks with OPF-based demand management (2022) · cites this paper as [29]

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Cites

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Research works printed but not linked: 23

  1. J. G. Robertson, G. P. Harrison, and A. R. Wallace, "OPF techniques for real-time active management of distribution networks," IEEE Trans. Power Syst., vol. 32, no. 5, pp. 3529-3537, 2017.
  2. L. Gan and S. H. Low, "Convex relaxations and linear approximation for optimal power flow in multiphase radial networks," in Power Syst. Comp. Conf (PSCC), Wroclaw, Poland, 2014, pp. 1-9.
  3. C. Zhao, E. Dall'Anese, and S. Low, "Convex relaxation of OPF in multiphase radial networks with delta connections," in 10th IREP Symposium on Bulk Power System Dynamics and Control, Espinho, Portugal, 2017, pp. 1-7.
  4. D. K. Molzahn, B. C. Lesieutre, and C. L. DeMarco, "Approximate representation of ZIP loads in a semidefinite relaxation of the OPF problem," IEEE Trans. Power Syst., vol. 29, no. 4, pp. 1864-1865, 2014.
  5. D. K. Molzahn and I. A. Hiskens, "A survey of relaxations and approximations of the power flow equations," in Foundations Trends Electr. Energy Syst., vol. 4, no. 1-2, 2019, pp. 1-221.
  6. F. Capitanescu, J. Martinez Ramos, P. Panciatici, D. Kirschen, A. Marano Marcolini, L. Platbrood, and L. Wehenkel, "State-of-the- art, challenges, and future trends in security constrained optimal power flow," Electr. Power Syst. Res., vol. 81, no. 8, pp. 1731 -1741, 2011.
  7. J. F. Franco, L. F. Ochoa, and R. Romero, "AC OPF for smart distribution networks: An efficient and robust quadratic approach," IEEE Trans. Smart Grid, vol. 9, no. 5, pp. 4613-4623, 2018.
  8. K. W. Hedman, S. S. Oren, and R. P. O'Neill, "A review of transmission switching and network topology optimization," in IEEE PES General Meeting, Detroit, Michigan, 2011, pp. 1-7.
  9. M. S. Andersen, A. Hansson, and L. Vandenberghe, "Reduced- complexity semidefinite relaxations of optimal power flow problems," IEEE Trans. Power Syst., vol. 29, no. 4, pp. 1855-1863, 2014.
  10. B. Mahdad, T. Bouktir, and K. Srairi, "A three-phase power flow mod- elization: A tool for optimal location and control of FACTS devices in unbalanced power systems," in IECON 2006 -32nd Annual Conference on IEEE Industrial Electronics, Paris, France, 2006, pp. 2238-2243.
  11. C. Coffrin, D. Gordon, and P. Scott, "NESTA, the NICTA energy system test case archive," pp. 1-26, 2014. [Online]. Available: http://arxiv.org/abs/1411.0359 · arXiv
  12. C. Coffrin, R. Bent, K. Sundar, Y. Ng, and M. Lubin, "Powermodels.jl: An open-source framework for exploring power flow formulations," in Power Syst. Comp. Conf. (PSCC), Dublin, Ireland, 2018, pp. 1-8.
  13. C. Coffrin, H. L. Hijazi, and P. Van Hentenryck, "The QC relaxation: A theoretical and computational study on optimal power flow," IEEE Trans. Power Syst., vol. 31, no. 4, pp. 3008-3018, 2016.
  14. D. M. Fobes, S. Claeys, F. Geth, and C. Coffrin, "Powermodelsdistribu- tion.jl: an open-source framework for exploring distribution power flow formulations," in press.
  15. B. A. Robbins, H. Zhu, and A. D. Domínguez-García, "Optimal tap setting of voltage regulation transformers in unbalanced distribution systems," IEEE Trans. Power Syst., vol. 31, no. 1, pp. 256-267, 2016.
  16. J. F. Marley, D. K. Molzahn, and I. A. Hiskens, "Solving multiperiod OPF problems using an AC-QP algorithm initialized with an SOCP relaxation," IEEE Trans. Power Syst., vol. 32, no. 5, pp. 3538-3548, 2017.
  17. D. Gayme and U. Topcu, "Optimal power flow with large-scale storage integration," IEEE Trans. Power Syst., vol. 28, no. 2, pp. 709-717, 2013.
  18. B. Kocuk, S. S. Dey, and X. A. Sun, "New formulation and strong MISOCP relaxations for AC optimal transmission switching problem," IEEE Trans. Power Syst., vol. 32, no. 6, pp. 4161-4170, 2017.
  19. R. A. Jabr, R. Singh, and B. C. Pal, "Minimum loss network reconfig- uration using mixed-integer convex programming," IEEE Trans. Power Syst., vol. 27, no. 2, pp. 1106-1115, 2012.
  20. M. Vanin, F. Geth, R. D'hulst, and D. Van Hertem, "Electric vehicles charging in unbalanced belgian low-voltage grids: a case study," in CIRED Workshop, Ljubljana, Slovenia, 2018, pp. 1-4.
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  22. A. Wächter and L. Biegler, "On the implementation of an interior- point filter line-search algorithm for large-scale nonlinear programming," Math. Program., vol. 106, no. 1, pp. 25-57, 2006.
  23. O. Kröger, C. Coffrin, H. Hijazi, and H. Nagarajan, "Juniper: An open- source nonlinear branch-and-bound solver in julia," in Integration of Constraint Programming, Artificial Intelligence, and Operations Re- search, 2018, pp. 377-386.

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Authors
Vanin, M., Ergun, H., D’hulst, R., & Van Hertem, D.
Affiliations
  • KU Leuven (BE)
  • Flemish Institute for Technological Research (BE)
Corresponding author
Vanin, Marta
ORCID
Venue
Electric Power Systems Research
Publisher
Elsevier BV
Published
2020-12
Volume
189
Pages
106699
ISSN
0378-7796 (ISSN-L)
DOI
10.1016/j.epsr.2020.106699
OpenAlex
W3048136375
Cited by
27
References
2
Citations by year
2026: 2 · 2025: 2 · 2024: 5 · 2023: 2 · 2022: 7 · 2021: 8 · 2020: 1
FWCI
1.55
Type
journal article
Language
en
Open access
Licence
Locations
  • Electric Power Systems Research (publishedVersion)
  • Lirias (submittedVersion, other-oa)
  • Lirias (submittedVersion)
Funders
  • Commonwealth Scientific and Industrial Research Organisation
  • KU Leuven
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Optimal Power Flow Distribution
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Electric Power System Optimization
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Power System Optimization and Stability
Keywords
power flow, optimal power flow, low-voltage distribution networks, voltage unbalance, second-order cone relaxation, linearization, non-convex optimization, computational efficiency, distribution network congestion

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