This paper presents the mathematical modelling to represent lithium-ion (li-ion) batteries in the Energy Management (EM) problem of a Microgrid (MG). It is developed a detail mathematical modelling for the li-ion batteries considering the degradation cost associated with the operation, controllable and uncontrollable charging ramps, and others limits and operating characteristics given by the manufactures. Besides the li-ion battery degradation cost, we analyse different approaches comparing models without this cost, a quadratic and a piecewise degradation cost; furthermore, it is analysed a linear cost considering the life expectancy based on the number of cycles of the battery. To analyse the proposed and different modelling approaches we include the battery model in an EM problem of a MG along with wind, photovoltaic generation resources connected to the main grid, also including a backup generator. This problem is modelled as a deterministic mixed-integer linear (or quadratic) problem, where the associated results to eleven cases are used in the analyses and comparisons to the li-ion battery modelling related to costs, constraints and the number of time steps within a 24-hour planning horizon.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.