Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Frequency Control with Operational Constraints, Part I:
  Per-Node Power Balance   This paper addresses the distributed optimal frequency control of multi-area
power system with operational constraints, including the regulation capacity of
individual control area and the power limits on tie-lines. Both generators and
controllable loads are utilized to recover nominal frequencies while minimizing
regulation cost. We study two control modes:the per-node balance mode and the
network balance mode. In Part I of the paper, we only consider the per-node
balance case, where we derive a completely decentralized strategy without the
need for communication between control areas. It can adapt to unknown load
disturbance. The tie-line powers are restored after load disturbance, while the
regulation capacity constraints are satisfied both at equilibrium and during
transient. We show that the closed-loop systems with the proposed control
strategies carry out primal-dual updates for solving the associated centralized
frequency optimization problems. We further prove the closed-loop systems are
asymptotically stable and converge to the unique optimal solution of the
centralized frequency optimization problems and their duals. Finally, we
present simulation results to demonstrate the effectiveness of our design. In
Part II of the paper, we address the network power balance case, where
transmission congestions are managed continuously.

4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph