Abstract
This article presents a mathematical model to calculate the cost and production of electrical energy of a system that combines energy storage through renewable sources such as wind and solar energy, applying a theoretical framework of mathematical aspects to evaluate a pumped storage system with Pelton turbines, using a novel methodology, easy to replicate. The results show that a greater increase in the diameter in the pipe of the pumping equipment reduces the electrical power supplied to the pump. On the other hand, the hydraulic losses in the pipe leading to the Pelton turbine are negligible for long lengths, so setting the maximum length instead of a variable-length with the hydraulic height does not affect the result. Finally, the information and explanation of each of the graphs that correlate to the variables of interest are shown. This seeks to offer a contribution to support technological development in areas that do not have electricity, taking advantage of natural resources.
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