TY - JOUR KW - Investment planning; Optimal control; Hybrid systems; Mixed-integer programming; Stochastic systems IS - 8 UR - http://www.sciencedirect.com/science/article/pii/S0005109806001014 TI - Optimal control of investments for quality of supply improvement in electrical energy distribution networks ID - eprints494 AV - none A1 - Bemporad, Alberto A1 - Muņoz de la Peņa, David A1 - Piazzesi, Peter SP - 1331 PB - Elsevier Science Limited EP - 1336 VL - 42 N2 - 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. JF - Automatica Y1 - 2006/08// SN - 0005-1098 ER -