Abstract
In this paper, an consensus-based distributed primal-dual perturbed subgradient algorithm is proposed for the DC Optimal Power Flow (OPF) problem. The algorithm is based on a double layer multi-agent structure, in which each generator bus and load bus in electric power grid is viewed as bus agent and connects with the grid by a network agent. In particular, network agents employ the average consensus method to estimate the global variables which are necessary for bus agents to update their generation using a local primal-dual perturbed subgradient method. The proposed approach is fully distributed and realizes the privacy protection. The employment of primal-dual perturbation method ensuring the convergence of the algorithm. Simulation results demonstrate the effectiveness of the proposed distributed algorithm.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mohammadi, J., Hug, G., Kar, S.: Agent-based distributed security constrained optimal power flow. IEEE Trans. Smart Grid PP(99), 1 (2016)
Disfani, V.R., Fan, L., Miao, Z.: Distributed DC optimal power flow for radial networks through partial primal dual algorithm. In: 2015 IEEE Power & Energy Society General Meeting, pp. 1–5. IEEE (2015)
Chang, T.H., Nedic, A., Scaglione, A.: Distributed constrained optimization by consensus-based primal-dual perturbation method. IEEE Trans. Autom. Control 59(6), 1524–1538 (2014)
Kallio, M.J., Ruszczynski, A.: Perturbation methods for saddle point computation. Work. Pap. 119(35), 37–59 (1994)
Binetti, G., Davoudi, A., Lewis, F.L., Naso, D.: Distributed consensus-based economic dispatch with transmission losses. Power Syst. IEEE Trans. 29(4), 1711–1720 (2014)
Olshevsky, A., Tsitsiklis, J.N.: Convergence speed in distributed consensus and averaging [reprint of mr2480125]. Siam J. Control Optim. 48(1), 33–55 (2006)
Wood, A.J., Wollenberg, B.F., Sheblé, G.B.: Power generation, operation and control. IEEE Power Ene. Mag. 37(3), 195 (2003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Yang, Z., Zou, B., Zhang, J. (2017). A Consensus-Based Distributed Primal-Dual Perturbed Subgradient Algorithm for DC OPF. In: Li, K., Xue, Y., Cui, S., Niu, Q., Yang, Z., Luk, P. (eds) Advanced Computational Methods in Energy, Power, Electric Vehicles, and Their Integration. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 763. Springer, Singapore. https://doi.org/10.1007/978-981-10-6364-0_50
Download citation
DOI: https://doi.org/10.1007/978-981-10-6364-0_50
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6363-3
Online ISBN: 978-981-10-6364-0
eBook Packages: Computer ScienceComputer Science (R0)