MODELING OF FLOW IN RIVER AND STORAGE WITH HYDROPOWER PLANT, INCLUDING THE EXAMPLE OF PRACTICAL APPLICATION IN RIVER DRINA BASIN
M. Arsić, V. Milivojević, D. Vučković, Z. Stojanović, D. Vukosavić
Abstract
Goal of the mathematical modeling and simulation of a physical system is to provide the user
with the relevant information used in design and/or management decision-making. Spatial
decomposition formulates the mathematical models of water flow with the parameters and rules
describing the water route. Calculation of the inlet hydrograph transformation along the river
section and storage was exercised by virtue of the hydrological methods that are actually a
simplified solution of the fundamental differential equations of flow. Calculation of discharge
through hydro-technical structures, such as spillways, foundation outlets etc., are shown in
hydraulic equations or water level-discharge relations. Storage management includes direct or
indirect planning of the hydropower plant operation, as well as meeting other water
management requirements. Hydropower plant work plan can be created on the basis of water
level management in the storage or desired electricity generation. Efficient numerical
algorithms provide for processing of input event series and initial values that describe the state
in the river and storage, resulting in the series of events on all important locations of the
physical system. An example illustrates the application of the mathematical models of flow in
the river, wave transformation in the storage and electricity generation calculation. The example
covers the part of the River Drina basin between the profiles of “Zvornik” HPP and “Bajina
Bašta” HPP.
