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1.3.2.3 Mathematical Formulation

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The management of energy in a microgrid can be formulated mathematically as a problem of optimization with the primary aim to schedule the functionality of DGs, SSEs and loads for the short term with specific objective functions and the constraints of the components of MG. The capital cost and the operational cost are taken as the objective functions. Fuel cost, maintenance cost, start-up and short-down losses and degradation are considered as the operational cost. There are different constraints which can affect an MSE. Some cases maximum and minimum limit of the generation unit affects their safety and economic performance. The source and load balance are also a constraint that has to be taken. The rate of charging and rate of discharging of energy storage body can also be taken as a constraint. The bus voltage, feeder current, frequency, etc. are some technical constraints [40, 41].

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