Energy Management of a Battery Storage System Considering Variable Load and Controllable Renewable Generation (Solar Study Case) to Keep the Grid’s Frequency Stability

Abstract

This paper presents the research of analytical functions related to the energy generation of photovoltaic systems and the residential and commercial load demanded by end users, concerning a statistical function. To test this model, a linear cost function was considered to compute its overestimation and underestimation due to its maximum and minimum production limits, where energy consumption is obtained at each instant of time, within the established production ranges, through the analytical equations that determine solar energy generation and demand load. The result obtained by applying the Uncertainty Quantification (UCF) theory in these equations, in the same way through the Monte Carlo (MC) simulation for comparison, is the expected value of energy for a hypothetical storage system E (Cu, Co). Better accuracy of results via this model can be improved upon when the energy generation parameters are structured as analytical functions each instant of time associated with probability distributions based on the uncertainty costs of controllable sources, instead of statistical functions.