66,283 research outputs found
A singular stochastic control problem for hydropower generation in renewable energy markets
No full textWe consider a singular stochastic control problem for hydroelectric power production in an energy market where the electricity spot market prices dynamics is described by a Vasicek's process, allowing also for negative prices.
We propose a hydroelectric production system that can react in two different modes when it is convenient to produce energy through an instantaneous release of water. We endow the system with the possibility of producing ``less efficiently'' when negative prices appear in the market, but it is still preferable to produce instantaneously rather than waiting for positive prices.
We defined a novel optimization problem whose performance functional exhibits a state-dependent instantaneous marginal revenue whose sign is directly affected by the sign of the prices dynamics.
We aim to maximize such functional among all the admissible control policies into the class of the adapted stochastic processes whose paths are not necessarily absolutely continuous with respect to the Lebesgue's measure but only non-decreasing, left-continuous and with finite right limits (càglàd).
We prove the Verification Theorem, allowing to characterize the value function of our singular stochastic control problem among the solutions of the associated Hamilton-Jacobi-Bellman equation which turns to be a variational inequality with state-dependent gradient constraint. The Verification Theorem sheds light on the structure of the optimal control which turns to be a purely discontinuous process that, at the first time of action, exerts all the available fuel with a single instantaneous jump.
Under some assumptions on the characteristics of our hydropower production model, we identify the value function of the optimal control problem in terms of the optimal reward function of an associated family of optimal stopping problems. We identified a unique positive boundary, separating the action and inaction regions and we showed that the optimal strategy consists in completely discharge the water reservoir as soon as the price dynamics reaches values grater or equal such optimal threshold.
We highlight the difficulties that arise when the aforementioned assumptions are replaced by other alternative hypotheses. In this more challenging context, we provide some intuitions on the tricky structure of the action and inaction regions as well as on the nature of the candidate optimal control policy
Cascine, alpeggi, città. Introduzione: il contesto territoriale
No full textIntroduzione a e descrizione della struttura del lavoro e del percorso di ricerca LA RIFUNZIONALIZZAZIONE DEI COMPLESSI RURALI LOMBARDI MEDIANTE LA CREAZIONE E L’IMPLEMENTAZIONE DI NETWORK CULTURALI finanziato da Fondazione Cariplo su base competitiva sviluppato da ERSAF (capofila) Politecnico di Milano (DASTU) Università di Pavia (Dipartimento di Scienze Economiche e Aziendali e Dipartimento di Scienze della Terra e dell'Ambiente); Comune di Milano; Regione Lombardia, Associazione Parco delle Risaie, Associazione 100 Cascin
Conclusioni: bilancio del progetto e sviluppi possibili
No full textCapitolo conclusivo contenete le linee di indirizzo per lo sviluppo e implementazione della ricerca azione LA RIFUNZIONALIZZAZIONE DEI COMPLESSI RURALI LOMBARDI MEDIANTE LA CREAZIONE E L’IMPLEMENTAZIONE DI NETWORK CULTURALI finanziato da Fondazione Cariplo su base competitiva sviluppato da ERSAF (capofila) Politecnico di Milano (DASTU) Università di Pavia (Dipartimento di Scienze Economiche e Aziendali e Dipartimento di Scienze della Terra e dell'Ambiente); Comune di Milano; Regione Lombardia, Associazione Parco delle Risaie, Associazione 100 Cascin
Optimized Electric Vehicles Wireless Charging: Applicative Models for Supporting Decision Makers
No full textWireless Power Transfer is one of the most promising technologies in the private transport sector. With the large-scale deployment of electric vehicles for decarbonization policies, the number of charging stations to be deployed will increase and may not be sufficient for the service, causing network instability. The use of wireless charging in urban and highway contexts could facilitate the service by reducing the network peaks associated with DC fast charging stations. This paper guides a decision-maker interested in implementing wireless charging models in urban and highway contexts. The work proposes an optimization algorithm for each context and identifies outputs for 3 different car models with different heights above the ground (0.10 m, 0.20 m and 0.30 m). This will allow to identify 3 optimized scenarios for wireless charging for each model. A sensitivity analysis will show the percentage improvement in performance as the number of transmitters is increased. In the urban model, it will be possible to increase the energy charged per stop by up to 4.2% by varying between the minimum and maximum number of transmitters. In the highway model, it will be possible to increase the recharged energy in a 1 km section by up to 26.5% by varying the number of transmitters between the 3 optimal configurations obtained. These results can provide a quantitative guide for decision-makers wishing to implement a wireless charging system in the two contexts analyzed
Le partnership pubblico-privato per il finanziamento e la gestione di infrastrutture pubbliche
No full textAnalisi delle principali caratteristiche delle partnership pubblico privato per la realizzazione di investimenti pubblic
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