### Jorge Cortés

#### Professor

Distributed, anytime optimization in power-generator
networks for economic dispatch

A. Cherukuri, S. Martínez, J. Cortés

Proceedings of the American Control Conference, Portland,
Oregon, USA, 2014, pp. 172-177

### Abstract

This paper considers the economic dispatch problem
for a group of power generating units communicating
over an arbitrary strongly connected,
weight-balanced digraph. The goal of the group is to
collectively meet a specified load while respecting
individual generation bounds and minimizing the
total generation cost, which corresponds to the sum
of individual arbitrary convex functions. We
introduce a distributed coordination algorithm,
termed Laplacian-set-valued dynamics, and establish
its asymptotic convergence to the solutions of the
economic dispatch problem. In addition, we show that
the algorithm is anytime, meaning that its
executions are feasible solutions at all times and
the total cost monotonically decreases as time
elapses. The technical approach combines notions and
tools from algebraic graph theory, nonsmooth
analysis, set-valued dynamical systems, and penalty
functions. Several simulations illustrate our
results.

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Mechanical and Aerospace Engineering,
University of California, San Diego

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