Use of Unrestricted Minimization of a Spectral Function to Estimate the Visible Zone in Matlab 19.0
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Reynaldo Quispe
Verónica Juli
Abstract
Due to the simplicity and wide applicability, unrestricted minimization in the visible zone (Vis) is an important tool to solve many optimization problems of parameters and operating conditions of photovoltaic systems. The purpose of this work is to use unrestricted minimization of a simplified objective function E to estimate the Vis zone. We used a quantitative method and a documentary technique, analyzing a sample of 34 Vis experimental data from the Heredia University station. The parametric method was applied by means of the Matlab 19.0 Software, specifically through the minimization of a mathematical model employing the basic algorithm with Armijo correction using backtracking. The result obtained is a feasible optimizer of E in 33 iterations, which determined a transfer model of the Vis zone of aerosol turbidity 3.69x10-2 and ozone layer (l) 57.40x10-2 cm with statistical parameters of uncertainty 0.132%, 2.066% for the relative mean bias error (rMBE) and relative root mean square error (rRMSE) respectively. It is concluded that the atmosphere of the Heredia University presents a cloudy alternating white sky without an ozone hole.
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