Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scalable Computation of 2D-Minkowski Sum of Arbitrary Non-Convex
  Domains: Modeling Flexibility in Energy Resources   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.

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The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph