Abstract The problem of minimizing the required capacity of an energy storage by controlled disconnecting and connecting of the energy storage sections to the output line, according to the specified… Click to show full abstract
Abstract The problem of minimizing the required capacity of an energy storage by controlled disconnecting and connecting of the energy storage sections to the output line, according to the specified consumption plan, is considered in the article. Energy storages under consideration are the ones in which the energy potential decreases at a rate proportional to the rate of consumption of the stored energy resource and inversely proportional to the storage capacity. Mathematical description of the problem and its solution method are proposed. The method is based on specifying a finite set of moments of time at which the values of the control function can be changed. As result, the problem is reduced to the analysis of a finite set of control law candidates. The proposed method includes techniques that reduce its computational complexity. An example of application of the proposed method to minimizing the required capacity of a compressed air energy storage is provided.
               
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