Lithium-ion battery modelling for the energy management problem of microgrids

Аннотация

This study presents a mathematical model of lithium-ion (Li-ion) batteries in the energy management (EM)problem of a microgrid (MG). In this study, the authors develop a detailed model of Li-ion batteries that considers thedegradation cost associated with operation, controllable and uncontrollable charging ramps, other limits, and theoperating characteristics provided by the manufactures. The Li-ion battery degradation cost is analysed using differentapproaches and is compared with modelling without this cost, using a quadratic degradation cost, and using apiecewise degradation cost. Furthermore, this cost is analysed using a linear cost that takes the life expectancy basedon the number of cycles of the battery into account. To analyse the proposed method and other modelling approaches,the authors examine the battery model in an EM problem in an MG. This MG, which can be connected to the maingrid, also uses wind and photovoltaic as generation resources, in addition to a backup generator. The EM problem ismodelled as a deterministic mixed-integer linear (or quadratic) problem; the results of eleven different cases are usedin the analysis of the proposed Li-ion battery model for a 24 h planning horizon.