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This manuscript presents design and analysis of a set of reference-tracking control policies for large-scale coordination of distributed energy resources (DERs) and quantifies tracking errors that arise due to heterogeneity in the power ratings for a fleet of DERs. In particular, the relay-based, reference-tracking control strategy that underpins much of packetized energy management (PEM) is augmented to uniquely leverage PEM’s energy packet request mechanism to optimize the number of accepted requests and to explicitly consider the quality of service (QoS). In addition, tracking errors from modeling a heterogeneous fleet of packetized DERs with a group of homogeneous macromodels are analytically derived for relevant PEM information scenarios. Finally, simulation-based analysis validates the results and shows that PEM is suitable for providing load balancing and ramping services for the grid.

Remotely sensed data are often used as proxies for indirect precipitation measures over data-scarce and complex-terrain areas such as the Peruvian Andes. Although this information might be appropriate for some research requirements, the extent at which local sites could be related to such information is very limited because of the resolution of the available satellite data. Downscaling techniques are used to bridge the gap between what climate modelers (global and regional) are able to provide and what decision-makers require (local). Precipitation downscaling improves the poor local representation of satellite data and helps end-users acquire more accurate estimates of water availability. Thus, a multifractal downscaling technique complemented by a heterogeneity filter was applied to TRMM (Tropical Rainfall Measuring Mission) 3B42 gridded data (spatial resolution ~ 28 km) from the Peruvian Andean high plateau or \\textit{Altiplano} to generate downscaled rainfall fields that are relevant at an agricultural scale (spatial resolution ~ 1 km).

In this paper, a multifractal downscaling technique is applied to adequately transformed and lag corrected normalized difference vegetation index (NDVI) in order to obtain daily estimates of rainfall in an area of the Peruvian Andean high plateau. This downscaling procedure is temporal in nature since the original NDVI information is provided at an irregular temporal sampling period between 8 and 11 days, and the desired final scale is 1 day. The spatial resolution of approximately 1 km remains the same throughout the downscaling process. The results were validated against on-site measurements of meteorological stations distributed in the area under study.