%R 10.1016/j.automatica.2006.02.008 
%T Optimal control of investments for quality of supply improvement in electrical energy distribution networks
%P 1331-1336
%J Automatica
%V 42
%N 8
%D 2006
%A Alberto Bemporad
%A David Mu?oz de la Pe?a
%A Peter Piazzesi
%X This paper considers the problem of deciding multi-period investments for maintenance and upgrade of electrical energy distribution networks. After describing the network as a constrained hybrid dynamical system, optimal control theory is applied to optimize profit under a complex incentive/penalty mechanism imposed by public authorities. The dynamics of the system and the cost function are translated into a mixed integer optimization model, whose solution gives the optimal investment policy over the multi-period horizon. While for a reduced-size test problem the pure mixed-integer approach provides the best optimal control policy, for real-life large-scale scenarios a heuristic solution is also introduced. Finally, the uncertainty associated with the dynamical model of the network is taken care of by adopting ideas from stochastic programming.
%L eprints494
%K Investment planning; Optimal control; Hybrid systems; Mixed-integer programming; Stochastic systems
%I Elsevier Science Limited