Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flexibility Requirement when Tracking Renewable Power Fluctuation with
  Peer-to-Peer Energy Sharing   Flexible load at the demand-side has been regarded as an effective measure to
cope with volatile distributed renewable generations. To unlock the demand-side
flexibility, this paper proposes a peer-to-peer energy sharing mechanism that
facilitates energy exchange among users while preserving privacy. We prove the
existence and partial uniqueness of the energy sharing market equilibrium and
provide a centralized optimization to obtain the equilibrium. The centralized
optimization is further linearized by a convex combination approach, turning
into a multi-parametric linear program (MP-LP) with renewable output deviations
being the parameters. The flexibility requirement of individual users is
calculated based on this MP-LP. To be specific, an adaptive vertex generation
algorithm is established to construct a piecewise linear estimator of the
optimal total cost subject to a given error tolerance. Critical regions and
optimal strategies are retrieved from the obtained approximate cost function to
evaluate the flexibility requirement. The proposed algorithm does not rely on
the exact characterization of optimal basis invariant sets and thus is not
influenced by model degeneracy, a common difficulty faced by existing
approaches. Case studies validate the theoretical results and show that the
proposed method is scalable.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th