Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Exact Sequential Linear Programming Algorithm for the Optimal Power
  Flow Problem   Despite major advancements in nonlinear programming (NLP) and convex
relaxations, most system operators around the world still predominantly use
some form of linear programming (LP) approximation of the AC power flow
equations. This is largely due to LP technology's superior reliability and
computational efficiency, especially in real-time market applications,
security-constrained applications, and extensions involving integer variables,
in addition to its ability to readily generate locational marginal prices (LMP)
for market applications. In the aim of leveraging the advantages of LP while
retaining the accuracy of NLP interior-point methods (IPMs), this paper
proposes a sequential linear programming (SLP) approach consisting of a
sequence of carefully constructed supporting hyperplanes and halfspaces. The
algorithm is numerically demonstrated to converge on 138 test cases with up the
3375 buses to feasible high-quality solutions (i) without AC feasibility
restoration (i.e., using LP solvers exclusively), (ii) in computation times
generally within the same order of magnitude as those from a state-of-the-art
NLP solver, and (iii) with robustness against the choice of starting point. In
particular, the (relative) optimality gaps and the mean constraint violations
are on average around 1e-3% and 1e-7, respectively, under a single parameter
setting for all the 138 test cases. To the best of our knowledge, the proposed
SLP approach is the first to use LP exclusively to reach feasible and
high-quality solutions to the nonconvex AC OPF in a reliable way, which paves
the way for system and market operators to keep using their LP solvers but now
with the ability to accurately capture transmission losses, price reactive
power (Q-LMP), and obtain more accurate LMP.

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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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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: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex