Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: TSO-DSO Operational Planning Coordination through "$l_1$-Proximal"
  Surrogate Lagrangian Relaxation   The proliferation of distributed energy resources (DERs), located at the
Distribution System Operator (DSO) level, bring new opportunities as well as
new challenges to the operations within the grid, specifically, when it comes
to the interaction with the Transmission System Operator (TSO). To enable
interoperability, while ensuring higher flexibility and cost-efficiency, DSOs
and the TSO need to be efficiently coordinated. Difficulties behind creating
such TSO-DSO coordination include the combinatorial nature of the operational
planning problem involved at the transmission level as well as the nonlinearity
of AC power flow within both systems. These considerations significantly
increase the complexity even under the deterministic setting. In this paper, a
deterministic TSO-DSO operational planning coordination problem is considered
and a novel decomposition and coordination approach is developed. Within the
new method, the problem is decomposed into TSO and DSO subproblems, which are
efficiently coordinated by updating Lagrangian multipliers. The nonlinearities
at the TSO level caused by AC power flow constraints are resolved through a
dynamic linearization while guaranteeing feasibility through "$l_1$-proximal"
terms. Numerical results based on the coordination of the 118-bus TSO system
with up to 32 DSO 34-bus systems indicate that the method efficiently overcomes
the computational difficulties of the problem.

2
The categories of this paper are: math
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con