Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Optimal Power Flow over Large-Scale Power Transmission Network   Optimal power flow (OPF) over power transmission networks poses challenging
large-scale nonlinear optimization problems, which involve a large number of
quadratic equality and indefinite quadratic inequality constraints. These
computationally intractable constraints are often expressed by linear
constraints plus matrix additional rank-one constraints on the outer products
of the voltage vectors. The existing convex relaxation technique, which drops
the difficult rank-one constraints for tractable computation, cannot yield even
a feasible point. We address these computationally difficult problems by an
iterative procedure, which generates a sequence of improved points that
converge to a rank-one solution. Each iteration calls a semi-definite program.
Intensive simulations for the OPF problems over networks with a few thousands
of buses are provided to demonstrate the efficiency of our approach. The
suboptimal values of the OPF problems found by our computational procedure turn
out to be the global optimal value with computational tolerance less than
0.01%.

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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc