Detrended Multiple Cross-Correlation Coefficient applied to solar radiation, air temperature and relative humidity

Due to the importance of generating energy sustainably, with the Sun being a large solar power plant for the Earth, we study the cross-correlations between the main meteorological variables (global solar radiation, air temperature, and relative air humidity) from a global cross-correlation perspective to efficiently capture solar energy. This is done initially between pairs of these variables, with the Detrended Cross-Correlation Coefficient, ρ(DCCA), and subsequently with the recently developed Multiple Detrended Cross-Correlation Coefficient, [Formula: see text] . We use the hourly data from three meteorological stations of the Brazilian Institute of Meteorology located in the state of Bahia (Brazil). Initially, with the original data, we set up a color map for each variable to show the time dynamics. After, ρ(DCCA) was calculated, thus obtaining a positive value between the global solar radiation and air temperature, and a negative value between the global solar radiation and air relative humidity, for all time scales. Finally, for the first time, was applied [Formula: see text] to analyze cross-correlations between three meteorological variables at the same time. On taking the global radiation as the dependent variable, and assuming that [Formula: see text] (which varies from 0 to 1) is the ideal value for the capture of solar energy, our analysis finds some patterns (differences) involving these meteorological stations with a high intensity of annual solar radiation.