de Falco, M.; Rarità, L.; Vaccaro, A. A Fluid Dynamic Approach to Model and Optimize Energy Flows in Networked Systems. Mathematics2024, 12, 1543.
de Falco, M.; Rarità, L.; Vaccaro, A. A Fluid Dynamic Approach to Model and Optimize Energy Flows in Networked Systems. Mathematics 2024, 12, 1543.
de Falco, M.; Rarità, L.; Vaccaro, A. A Fluid Dynamic Approach to Model and Optimize Energy Flows in Networked Systems. Mathematics2024, 12, 1543.
de Falco, M.; Rarità, L.; Vaccaro, A. A Fluid Dynamic Approach to Model and Optimize Energy Flows in Networked Systems. Mathematics 2024, 12, 1543.
Abstract
In this paper the attention is focused on the analysis and the optimization of energy flows in networked systems via a fluid-dynamic model. In particular, a cost functional that represents a term proportional to the kinetic energy of an energy system is studied. 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, the global optimization is obtained using the local optimal parameters at the various nodes of the system. Considering the case study of an energy hub, interesting results are obtained for the whole network, proving the correctness of the proposed approach.
Keywords
energy flows; optimization; simulation
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
