eprintid: 494 rev_number: 10 eprint_status: archive userid: 7 dir: disk0/00/00/04/94 datestamp: 2011-07-27 08:40:37 lastmod: 2011-08-04 07:29:07 status_changed: 2011-07-27 08:40:37 type: article metadata_visibility: show contact_email: alberto.bemporad@imtlucca.it item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Muñoz de la Peña, David creators_name: Piazzesi, Peter creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: title: Optimal control of investments for quality of supply improvement in electrical energy distribution networks ispublished: pub subjects: HB subjects: TK divisions: CSA full_text_status: none keywords: Investment planning; Optimal control; Hybrid systems; Mixed-integer programming; Stochastic systems abstract: 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. date: 2006-08 date_type: published publication: Automatica volume: 42 number: 8 publisher: Elsevier Science Limited pagerange: 1331-1336 id_number: 10.1016/j.automatica.2006.02.008 refereed: TRUE issn: 0005-1098 official_url: http://www.sciencedirect.com/science/article/pii/S0005109806001014 citation: Bemporad, Alberto and Muñoz de la Peña, David and Piazzesi, Peter Optimal control of investments for quality of supply improvement in electrical energy distribution networks. Automatica, 42 (8). pp. 1331-1336. ISSN 0005-1098 (2006)