Abstract
This paper develops a mathematical model for optimizing energy storage size for a single power plant and a single transmission station. The electricity generated by the power plant is transmitted to the transmission and distribution station and then consumed by the end-customers. Besides providing electricity to end customers, a power plant also supplies electricity to their utility system to satisfy the in-house demand. The proposed model considers in-house demand, end-costumer’s demand and carbon emissions. The carbon emission is calculated from production activities. The objective of the model is to determine the supply size of in-house demand, shipment size of end-costumer’s demand, production lot size factor and emergency backup factor to minimize a total cost incurred by a power plant and transmission station. We utilize an inventory theory to develop our model and propose an algorithm to obtain the optimal solution for this problem. A numerical example is provided to illustrate the application of model.
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