Modelo polinomial para interpolación de datos de velocidad de viento y radiación solar de la Estación Meteorológica de la Facultad de Ciencias de la ESPOCH.

Abstract

This research work designed a polynomial model of data interpolation of wind speed and solar radiation using Newton’s Polynomial approximation and the Lagrange’s polynomial approximation in order to complete missing values from the meteorological station of ESPOCH during the period January 2012- January 2013. Wind speed and solar radiation data were analyzed with the help of Excel the data was processed and was obtained the speed of wind average (SWA) and radiation solar average (RSA). With the values obtained there were elaborated tables of data. Also it was applied Newton’s technique of Polynomial interpolation of divided differences. It was obtained the coefficients of the polynomial interpolating which were switched in the corresponding formula being the result a polynomial expression which one allowed us to find values between the interpolated points. As an illustrative example were analyzed times from 10:00 to 10:50, noting that the data using the constructed polynomial expression provided values very approximately to the measured ones. It is concluded that the approximation polynomial using divided differences of Newton leads to the determination of data missing of energy solar and of speed of wind in an approximate way. The results were very similar to the actual values. It is suggested to use the results of this research as a starting line to establish the feasibility of creating electrical or thermal energy sources that use this natural energy through the implementation of wind parks, solar heaters, photovoltaic cells, among others.