- Research Article
44
- 10.1038/s41598-019-56114-6
Detrended Multiple Cross-Correlation Coefficient applied to solar radiation, air temperature and relative humidity
- Dec 01, 2019
- Scientific Reports
- Andrea De Almeida Brito + 2 more +2
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, ρDCCA, and subsequently with the recently developed Multiple Detrended Cross-Correlation Coefficient, {boldsymbol{DM}}{{boldsymbol{C}}}_{{bf{x}}}^{{bf{2}}}. 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, ρDCCA 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 {boldsymbol{DM}}{{boldsymbol{C}}}_{{bf{x}}}^{{bf{2}}} to analyze cross-correlations between three meteorological variables at the same time. On taking the global radiation as the dependent variable, and assuming that {boldsymbol{DM}}{{boldsymbol{C}}}_{{bf{x}}}^{{bf{2}}}={bf{1}} (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.
Read more