Abstract:
L.S. Pontryagin's Maximum principle is applied to the problem of determining the operation of a combined hydro-steam generating system for the minimum generating costs. The dispatch formulae have been derived for power systems using various operating characteristics governing the dynamics of the systems. A gradient technique has been described for the determination of the optimum control Trajectory using the maximum principle.
The numerical treatment is given to the economical operation of a simplified model system. Variable hydraulic head is considered at the hydro station. The system operation is assumed for short-range. The merits of the Maximum principle have been discussed as a new technique for obtaining solution of economic problem.