Projects per year
Abstract
The optimal power flow (OPF) problem is one of the most fundamental problems in power system operations. The non-linear alternating current (AC) power flow equations that model different physical laws (together with operational constraints) lay the foundation for the feasibility region of the OPF problem. While significant research has focused on convex relaxations, which are approaches to solve an OPF problem by enlarging the true feasibility region, the opposite approach of convex restrictions offers valuable insights as well. Convex restrictions, including polyhedral restrictions, reduce the true feasible region to a convex region, ensuring that it contains only feasible points. In this work, we develop a sequential optimization method that offers a scalable way to obtain (bounds on) solutions to OPF problems for distribution networks. To do so, we first develop sufficient conditions for the existence of feasible power flow solutions in the neighborhood of a specific (feasible) operating point in distribution networks, and second, based on these conditions, we construct a polyhedral restriction of the feasibility region. Our numerical results demonstrate the efficacy of the sequential optimization method as an alternative to existing approaches to obtain (bounds on) solutions to OPF problems for distribution networks. By construction, the optimization problems can be solved in polynomial time and are guaranteed to have feasible solutions.
Original language | English |
---|---|
Publication status | Published - 7 Dec 2023 |
Bibliographical note
12 pages, 4 figuresFingerprint
Dive into the research topics of 'Polyhedral restrictions of feasibility regions in optimal power flow for distribution networks'. Together they form a unique fingerprint.Projects
- 1 Finished
-
Stochastic processes driven by non-convex resource allocation problems
Vlasiou, M. (Project Manager) & Christianen, M. (Project member)
1/03/19 → 17/05/24
Project: Second tier
Research areas
-
Stochactic processes on interacting networks
Vlasiou, M. (Content manager)
Impact: Research Topic/Theme (at group level)
-
Comparison of stability regions for a line distribution network with stochastic load demands
Christianen, M. H. M. (Corresponding author), Cruise, J., Janssen, A. J. E. M., Shneer, S., Vlasiou, M. & Zwart, B., Apr 2023, In: Queueing Systems. 103, 3-4, p. 187-239 53 p.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile76 Downloads (Pure) -
Estimating Risk-aware Flexibility Areas for Electric Vehicle Charging Pools via AC Stochastic Optimal Power Flow
Giraldo, J. S. (Corresponding author), Bañol Arias, M. N., Vergara, P. P., Vlasiou, M., Hoogsteen, G. & Hurink, J. L., 1 Jul 2023, In: Journal of Modern Power Systems and Clean Energy. 11, 4, p. 1247-1256 10 p., 9994625.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile2 Citations (Scopus)41 Downloads (Pure) -
Simulation study for the comparison of power flow models for a line distribution network with stochastic load demands
Christianen, M. H. M., Vlasiou, M. & Zwart, B., 19 Feb 2023, ICORES 2023 - Proceedings of the 12th International Conference on Operations Research and Enterprise Systems. Liberatore, F., Wesolkowski, S. & Parlier, G. H. (eds.). p. 167-174 8 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
Open AccessFile1 Citation (Scopus)46 Downloads (Pure)