Scalable Computation of 2D-Minkowski Sum of Arbitrary Non-Convex Domains: Modeling Flexibility in Energy Resources
Scalable Computation of 2D-Minkowski Sum of Arbitrary Non-Convex Domains: Modeling Flexibility in Energy Resources
dc.contributor.author | Kundu, Soumya | |
dc.contributor.author | Chandan, Vikas | |
dc.contributor.author | Kalsi, Karan | |
dc.date.accessioned | 2019-01-03T00:18:27Z | |
dc.date.available | 2019-01-03T00:18:27Z | |
dc.date.issued | 2019-01-08 | |
dc.description.abstract | The flexibility of active ($p$) and reactive power ($q$) consumption in distributed energy resources (DERs) can be represented as a (potentially non-convex) set of points in the $p$-$q$ plane. Modeling of the aggregated flexibility in a heterogeneous ensemble of DERs as a Minkowski sum (M-sum) is computationally intractable even for moderately sized populations. In this article, we propose a scalable method of computing the M-sum of the flexibility domains of a heterogeneous ensemble of DERs, which are allowed to be non-convex, non-compact. In particular, the proposed algorithm computes a guaranteed superset of the true M-sum, with desired accuracy. The worst-case complexity of the algorithm is computed. Special cases are considered, and it is shown that under certain scenarios, it is possible to achieve a complexity that is linear with the size of the ensemble. Numerical examples are provided by computing the aggregated flexibility of different mix of DERs under varying scenarios. | |
dc.format.extent | 10 pages | |
dc.identifier.doi | 10.24251/HICSS.2019.445 | |
dc.identifier.isbn | 978-0-9981331-2-6 | |
dc.identifier.uri | http://hdl.handle.net/10125/59805 | |
dc.language.iso | eng | |
dc.relation.ispartof | Proceedings of the 52nd Hawaii International Conference on System Sciences | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.subject | Monitoring, Control and Protection | |
dc.subject | Electric Energy Systems | |
dc.subject | Minkowski sum, distribution system, flexibility aggregation, hierarchical control architecture, renewable generation | |
dc.title | Scalable Computation of 2D-Minkowski Sum of Arbitrary Non-Convex Domains: Modeling Flexibility in Energy Resources | |
dc.type | Conference Paper | |
dc.type.dcmi | Text |
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