The dynamics of an off-grid power generating system, coupled to a storage unit and to household appliances, is described by means of an analytic hydrodynamic analog. Following this analogy, by noticing that the efflux rate from a leaking bucket is described, in terms of the liquid content, by Torricelli’s formula, we denote as “Torricelli’s smart consumer” a user being able to calibrate its energy consumption rate with respect to the energy level in the storage unit as if the hydrodynamic model would strictly apply. Simple solutions to the nonlinear dynamic problem associated to this type of smart consumer are found and generalization to other types of smart consumers are sought.
Mathematical model of an off-grid hybrid solar and wind power generating system
BLASONE, MASSIMO;DE LUCA, Roberto;TORRE, GIANPAOLO
2014-01-01
Abstract
The dynamics of an off-grid power generating system, coupled to a storage unit and to household appliances, is described by means of an analytic hydrodynamic analog. Following this analogy, by noticing that the efflux rate from a leaking bucket is described, in terms of the liquid content, by Torricelli’s formula, we denote as “Torricelli’s smart consumer” a user being able to calibrate its energy consumption rate with respect to the energy level in the storage unit as if the hydrodynamic model would strictly apply. Simple solutions to the nonlinear dynamic problem associated to this type of smart consumer are found and generalization to other types of smart consumers are sought.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
