Predicting the Level of Akosombo Dam Using Mathematical Modeling

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Hydroelectric power is one of the cheapest renewable sources of energy in the world and its generation depends on the management of four major factors which are rainfall, inflows, and outflows of water resources as well as evaporation in dams. The main aim of the thesis seeks to utilize a differential equation model for Akosombo Dam’s water level prediction. The model was tested on a data covering the past twenty eight years. In the testing process the first model produced a result which was about 65% accurate, the modified model gave a result with an accuracy of 86%. The results show that it is possible to use the model to predict the level of the water in the Akosombo dam for any month in a year with some acceptable level of accuracy.
A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology, in partial fulfilment of the requirement for the degree of Master of Science in Industrial Mathematics.