Abstract
We propose in this paper a distributed method to solve the security constrained optimal power flow problem (SCOPF) that considers not only contingencies on transmission lines but also on generators. With this aim, we extend the formulation of the SCOPF problem to consider the primary frequency response of generators as well as the short term constraints of generators and transmission lines. Then, we distribute the problem among different agents and we use a decentralized decision making algorithm, based on the Alternating Direction Method of Multipliers (ADMM), to optimize the grid power supply while being resilient to violations that would occur during contingencies. Finally, we validate the effectiveness of our approach on a simple test system.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
Equation 13 is a projection on an hyperplane.
References
Bornard, P., Pavard, M.: Réseaux d’interconnexion et de transport: réglages et stabilité. Technival report, Téchniques de l’ingénieur (1993). http://www.techniques-ingenieur.fr/base-documentaire/energies-th4/reseaux-electriques-de-transport-et-de-repartition-42263210/reseaux-d-interconnexion-et-de-transport-reglages-et-stabilite-d4092/
Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1–122 (2011). https://doi.org/10.1561/2200000016
Capitanescu, F., et al.: State-of-the-art, challenges, and future trends in security constrained optimal power flow. Electr. Power Syst. Res. 81(8), 1731–1741 (2011)
Chakrabarti, S., Kraning, M., Chu, E., Baldick, R., Boyd, S.: Security Constrained Optimal Power Flow via proximal message passing. In: 2014 Clemson University Power Systems Conference, pp. 1–8 (2014). https://doi.org/10.1109/PSC.2014.6808131. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6808131
Elsayed, W.T., El-Saadany, E.F.: A fully decentralized approach for solving the economic dispatch problem. IEEE Trans. Power Syst. 30(4), 2179–2189 (2015). https://doi.org/10.1109/TPWRS.2014.2360369
Karoui, K., Crisciu, H., Platbrood, L.: Modeling the primary reserve allocation in preventive and curative security constrained OPF. In: 2010 IEEE PES Transmission and Distribution Conference and Exposition, pp. 1–6. IEEE (2010)
Kraning, M., Chu, E., Lavaei, J., Boyd, S.P.: Dynamic network energy management via proximal message passing. Found. Trends Optim. 1(2), 73–126 (2014)
Monticelli, A., Pereira, M.V.F., Granville, S.: Security-constrained optimal power flow with post-contigency corrective rescheduling. IEEE Trans. Power Syst. 2(1), 175–180 (1987)
Phan, D.T., Sun, X.A.: Minimal impact corrective actions in security-constrained optimal power flow via sparsity regularization. IEEE Trans. Power Syst. 30(4), 1947–1956 (2015)
Pinar, A., Meza, J., Donde, V., Lesieutre, B.: Optimization strategies for the vulnerability analysis of the electric power grid. SIAM J. Optim. 20(4), 1786–1810 (2010)
Scott, P., Thiébaux, S.: Distributed multi-period optimal power flow for demand response in microgrids. In: Proceedings of the 2015 ACM Sixth International Conference on Future Energy Systems, e-Energy 2015, Bangalore, India, 14–17 July 2015, pp. 17–26 (2015)
Wang, Y., Wang, S., Wu, L.: Distributed optimization approaches for emerging power systems operation: a review. Electr. Power Syst. Res. 144, 127–135 (2017). http://dx.doi.org/10.1016/j.epsr.2016.11.025
Zhang, Z., Chow, M.Y.: Convergence analysis of the incremental cost consensus algorithm under different communication network topologies in a smart grid. IEEE Trans. Power Syst. 27, 1761–1768 (2012)
Acknowledgments
Meritxell Vinyals would like to acknowledge the support of the European Union under the FP7 Grant Agreement no. 619682 (MAS2TERING project) and under the H2020 Grant Agreement no. 774431 (DRIVE project).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Velay, M., Vinyals, M., Bésanger, Y., Retière, N. (2018). Agent-Based Security Constrained Optimal Power Flow with Primary Frequency Control. In: Belardinelli, F., Argente, E. (eds) Multi-Agent Systems and Agreement Technologies. EUMAS AT 2017 2017. Lecture Notes in Computer Science(), vol 10767. Springer, Cham. https://doi.org/10.1007/978-3-030-01713-2_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-01713-2_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-01712-5
Online ISBN: 978-3-030-01713-2
eBook Packages: Computer ScienceComputer Science (R0)