On the modelling and solving of an optimal control problem of hydro-electric power plant systems

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Abstract
The paper presents a model class for hydro-electric power-plant chains. In particular two model types for river sections are presented which are different approximations for the distributed parameter flow-model of Saint-Venant. The one takes into account acceleration forces, while the other neglects thorn. Optimization problems are then introduced so that the interconnection with the other power system is represented by the marginal price of the energy. The optimization problems are then reduced via Pontryagin's principle to two-point boundary-value problems. These TPBVP's are then solved with the aid of an iterative method previously developed for this kind of problem. Finally, some numerical experiments are presented and compared.

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