A Fluid Dynamic Approach to Model and Optimize Energy Flows in Networked Systems

Massimo de Falco, Luigi Rarità () and Alfredo Vaccaro
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Massimo de Falco: Dipartimento di Scienze Aziendali—Management & Innovation Systems, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084 Salerno, Italy
Luigi Rarità: Dipartimento di Scienze Aziendali—Management & Innovation Systems, University of Salerno, Via Giovanni Paolo II, 132, Fisciano, 84084 Salerno, Italy
Alfredo Vaccaro: Dipartimento di Ingegneria, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

Mathematics, 2024, vol. 12, issue 10, 1-16

Abstract: In this paper, attention is focused on the analysis and optimization of energy flows in networked systems via a fluid-dynamic approach. Considering the real case of an energy hub, the proposed model deals with conservation laws on arcs and linear programming problems at nodes. Optimization of the energy flows is accomplished by considering a cost functional, which estimates a term proportional to the kinetic energy of the overall system in consideration. As the real optimization issue deals with an integral formulation for which precise solutions have to be studied through variational methods, a decentralized approach is considered. First, the functional is optimized for a simple network having a unique node, with an incoming arc and two outgoing ones. The optimization deals with distribution coefficients, and explicit solutions are found. Then, global optimization is obtained via the local optimal parameters at the various nodes of the real system. The obtained results prove the correctness of the proposed approach and show the evident advantages of optimization procedures dealing with variational approaches.

Keywords: energy flows; optimization; simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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