Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Power Flow with Weighted Chance Constraints and General Policies
  for Generation Control   Due to the increasing amount of electricity generated from renewable sources,
uncertainty in power system operation will grow. This has implications for
tools such as Optimal Power Flow (OPF), an optimization problem widely used in
power system operations and planning, which should be adjusted to account for
this uncertainty. One way to handle the uncertainty is to formulate a Chance
Constrained OPF (CC-OPF) which limits the probability of constraint violation
to a predefined value. However, existing CC-OPF formulations and solutions are
not immune to drawbacks. On one hand, they only consider affine policies for
generation control, which are not always realistic and may be sub-optimal. On
the other hand, the standard CC-OPF formulations do not distinguish between
large and small violations, although those might carry significantly different
risk. In this paper, we introduce the Weighted CC-OPF (WCC-OPF) that can handle
general control policies while preserving convexity and allowing for efficient
computation. The weighted chance constraints account for the size of violations
through a weighting function, which assigns a higher risk to a higher
overloads. We prove that the problem remains convex for any convex weighting
function, and for very general generation control policies. In a case study, we
compare the performance of the new WCC-OPF and the standard CC-OPF and
demonstrate that WCC-OPF effectively reduces the number of severe overloads.
Furthermore, we compare an affine generation control policy with a more general
policy, and show that the additional flexibility allow for a lower cost while
maintaining the same level of risk.

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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
21
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
18
The categories of this paper are: econ
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con