期刊
ENERGIES
卷 15, 期 21, 页码 -出版社
MDPI
DOI: 10.3390/en15217825
关键词
hybrid models; complexity; energy network; smart grid; integro-differential equation; Cauchy problem; initial-boundary-value problem
This paper is a survey of the recent proposed frameworks of the thermostatted kinetic theory for the modeling of a hybrid energy-multisource network, reviewing the recent proposed models. The approach models the evolution of an energy source and its interactions with other energy sources through the introduction of distribution functions and interaction rates.
Recently, different mathematical frameworks of the thermostatted kinetic theory approach have been proposed for the modeling of complex systems. In particular, thermostatted kinetic frameworks have been employed for the modeling and time evolution of a hybrid energy-multisource network composed of renewable and nonrenewable energy sources, for the construction of the energy storage and for open networks. In the frameworks of the thermostatted kinetic theory approach, the evolution of an energy source and the interactions with other energy sources are modeled by introducing a distribution function and interaction rates. This paper is a survey of the recent proposed frameworks of the thermostatted kinetic theory for the modeling of a hybrid energy-multisource network and reviews the recent proposed models. The paper is not limited to review the existing frameworks, but it also generalizes the mathematical structures proposed in the pertinent literature and outlines future research perspectives and applications of this new approach proposed in 2012.
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