Models and algorithms for optimizing the location of solar batteries

Abstract

The study aimed to create a method for optimizing the position of solar batteries with fixed location to increase their efficiency, namely, the generation of maximum energy during a certain time, as well as reducing the unevenness of electricity generation over time. The study allowed developing a method of optimizing the position of solar batteries to increase their efficiency, namely obtaining the maximum electrical energy generation both with a completely fixed location of solar batteries and with a seasonal change in position. The developed models and algorithms, the given examples and the results of their solution with the construction of polynomial regressions and their graphical representation, integration of polynomials to obtain the values of the generated energy give a clear idea of the application of the method of optimizing the position of solar panels to maximize the generated energy and equalize the generation characteristics over time, as well as ways to develop them further. The theoretical research made it possible to solve an important scientific and technical problem of increasing the performance of solar batteries by placing them in an optimal position relative to the Sun. The model of placement of the solar battery and the method that allows optimizing its position were further developed. The field of using the Matlab computer program for simulating the operation of solar batteries was further expanded. For the first time, the work offers a model and method of using solar cells with different positions relative to the Sun designed to increase the amount of electric energy generated and equalize the energy generation characteristic, which is expressed as a dependence of power over time. For this purpose, the authors introduce the coefficient of unevenness of the generation characteristic, which establishes the relationship between the maximum power and the capacities at other moments of time and allows objectively evaluating the unevenness of the characteristic. The practical value of the proposed solutions consists in the ability to simulate the operation of the solar battery in various conditions based on experimental studies and using the Matlab computer system.