U. Žindžiūtė
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There are several studies on P&O algorithm efficiency and irradiance variability separately, however, a link between these two topics has not been explored. Thus, this thesis aims to bridge the gap and its purpose is to determine the relationship between P&O algorithm efficiency and irradiance variability. This was carried out by use of real 3-second irradiance data from Oahu, Hawaii, modelling the power output of a PV module and obtaining the operating point of the system by implementing a P&O algorithm without assuming any physical properties of a DC-DC converter. Then using operating point and maximum power point power values, 3 s averages of the P&O algorithm efficiency were computed, and variability metrics were calculated using the original irradiance data. Finally, an exploratory analysis of the prepared dataset was performed to determine how the P&O algorithm varies when exposed to different irradiance variability. Additionally, a sensitivity analysis was deemed necessary to examine efficiency dependence on P&O algorithm parameters - sampling interval and perturbation amplitude - in different cases of irradiance variability.
The results of this research have shown variations of P&O efficiency values on different time scales as well as in different variability conditions. Each day of the year was classified by occurring irradiance variability. It was confirmed that efficiency depends on the variability class of the day with the lowest efficiencies down to 99.8 % found for highly variable days. Monthly P&O efficiency was determined to be affected by the number of days from each class. P&O efficiency was highest when the least days in the month were classified as highly variable. Monthly efficiencies were found to be above 99.9 %. To describe the relationship between variability and P&O efficiency, variability metrics were selected and computed for 1 min periods. Major scattering of data was found when 1 min averaged efficiency was plotted against any of the variability metrics. Magnitudes of 1 min average efficiency were determined to be mostly above 95 %. To reduce scattering, average efficiencies that could be expected in bins of variability metrics were determined, and in such a case, a general decrease in efficiency was observed with increasing magnitudes of variability metrics. Additionally, polynomial fits through the data were produced to provide functions with which P&O efficiency could be approximated when variability described by a metric is known. Lastly, P&O efficiency sensitivity to its parameters study has shown that in most cases efficiency is more sensitive to perturbation amplitude, however, in high variability, sampling interval and perturbation amplitude must be sufficiently small (ΔV≤1% of Voc(STC), Ta≤10 ms) for better performance of the algorithm. ...
There are several studies on P&O algorithm efficiency and irradiance variability separately, however, a link between these two topics has not been explored. Thus, this thesis aims to bridge the gap and its purpose is to determine the relationship between P&O algorithm efficiency and irradiance variability. This was carried out by use of real 3-second irradiance data from Oahu, Hawaii, modelling the power output of a PV module and obtaining the operating point of the system by implementing a P&O algorithm without assuming any physical properties of a DC-DC converter. Then using operating point and maximum power point power values, 3 s averages of the P&O algorithm efficiency were computed, and variability metrics were calculated using the original irradiance data. Finally, an exploratory analysis of the prepared dataset was performed to determine how the P&O algorithm varies when exposed to different irradiance variability. Additionally, a sensitivity analysis was deemed necessary to examine efficiency dependence on P&O algorithm parameters - sampling interval and perturbation amplitude - in different cases of irradiance variability.
The results of this research have shown variations of P&O efficiency values on different time scales as well as in different variability conditions. Each day of the year was classified by occurring irradiance variability. It was confirmed that efficiency depends on the variability class of the day with the lowest efficiencies down to 99.8 % found for highly variable days. Monthly P&O efficiency was determined to be affected by the number of days from each class. P&O efficiency was highest when the least days in the month were classified as highly variable. Monthly efficiencies were found to be above 99.9 %. To describe the relationship between variability and P&O efficiency, variability metrics were selected and computed for 1 min periods. Major scattering of data was found when 1 min averaged efficiency was plotted against any of the variability metrics. Magnitudes of 1 min average efficiency were determined to be mostly above 95 %. To reduce scattering, average efficiencies that could be expected in bins of variability metrics were determined, and in such a case, a general decrease in efficiency was observed with increasing magnitudes of variability metrics. Additionally, polynomial fits through the data were produced to provide functions with which P&O efficiency could be approximated when variability described by a metric is known. Lastly, P&O efficiency sensitivity to its parameters study has shown that in most cases efficiency is more sensitive to perturbation amplitude, however, in high variability, sampling interval and perturbation amplitude must be sufficiently small (ΔV≤1% of Voc(STC), Ta≤10 ms) for better performance of the algorithm.