Optimal Management of Small Hydroelectric Plants Power Generation in Local Electrical Systems

Abstract

The number of renewable energy sources (photovoltaic power plants, small hydroelectric power plants and others) is growing rapidly. They transfer the generated electrical energy through the distribution networks of power supply companies. Therefore, the problem of calculating the normal modes of such electrical networks is urgent. This makes it possible to investigate the influence of renewable energy sources on the losses of electric power in distribution electrical networks. The given paper presents a mathematical model of active power losses of local electrical systems - electrical systems of power supply companies. The sources of electricity for such systems are not only powerful electric stations, but also renewable energy sources. Often these are distributed sources of energy. That is why optimal management of such sources is complex. The article shows the determination of insensitivity zones of the optimal points deviations in which the power fluxes are distributed to the change in the load power and generation in the nodes of local electrical systems. The mathematical expression is proposed where similarity criteria are used, it allows to analyze the influence of generation of the investigated renewable energy source on the losses of active power. The significance of these similarity criteria can be determined from the optimality conditions of the dual criterion programming problem with respect to the direct problem. It is expected that the account of calculation results of dead zones will enable to determine a renewable energy source, for instance, a small hydroelectric power station. Control of the generated power of the selected power plant at this time provides minimal losses of electrical energy of distributed electric networks.