arXiv Analytics

Sign in

arXiv:2205.07620 [math.OC]AbstractReferencesReviewsResources

Bidirectional Optimisation for Load Shaping within Coupled Microgrids

Philipp Sauerteig

Published 2022-05-16Version 1

We address the problem of load shaping within a network of coupled microgrids (MGs) in a bilevel optimisation framework. To this end, we consider the charging/discharging rates of residential energy storage devices within each MG on the lower level and the power exchange among neighbouring MGs on the upper level as optimisation variables. We improve a previously developed model such that the maximal amount of exchanged power does not depend on the power demand, thus, increasing the flexibility within the network, and adapt the corresponding bidirectional optimisation scheme accordingly. For efficiency, standard distributed optimisation routines are used for the optimisation on the lower level; the power exchange problem on the upper level is replaced by parallelisable small-scale quadratic programmings. We prove global convergence of the optimisation scheme and illustrate the potential of the approach in a numerical case study based on real-world data.

Comments: 20 pages, 9 figures
Categories: math.OC
Related articles: Most relevant | Search more
arXiv:1911.04547 [math.OC] (Published 2019-11-11)
Surrogate Models in Bidirectional Optimization of Coupled Microgrids
arXiv:1908.04040 [math.OC] (Published 2019-08-12)
Near-optimal Robust Bilevel Optimization
arXiv:2106.07991 [math.OC] (Published 2021-06-15)
A Value-Function-based Interior-point Method for Non-convex Bi-level Optimization