On the optimal control of a cascade of hydro-electric power stations

In this paper we consider a model for a cascade of hydro-electric power stations where some of the stations have reversible turbines. The objective of our work is to optimize the profit of power production satisfying restrictions on the water level in the reservoirs. The problem is considered in the framework of discrete-time optimal control and is solved using numerical methods. The optimization uses real data of market prices of electricity, water levels at the reservoirs, and water flows in different types of days.

► Mathematical modeling of cascade of hydro-electric power stations with reversible turbines.
► Application of optimal control methods to power production profit optimization.
► Planning of a cascade of hydro-electric power stations.