Min-Max Linear Programming Model for Multireservoir System Operation with Power Deficit Aspect

Abstract

Because of the growing demand for energy in recent years, multireservoir system operation with a power deficit aspect is becoming an increasingly important problem in electrical power systems. To satisfy this practical requirement, a min-max linear programming (LP) model is developed to determine the optimal generation of all the hydroplants so as to equally distribute electricity shortage in the scheduling horizon. The objective of the LP model is to minimize the maximum, rather than the traditional variance function, of residual load series that is obtained by subtracting the total outputs of all the hydroplants from the original load curve. Also, in the modeling process, the LP model takes a set of necessary operation constraints into account. The proposed model is applied to a classical multireservoir system with 1 coupled reservoirs. The results indicate that the proposed LP model outperforms several existing methods in smoothing the power deficit. Thus, a new perspective is provided for the operation of hydropower systems in the cases where the water head can be assumed to be a constant.