Abstract:

Lifetime batteries are essential component of energy storage systems. These batteries are designed to store electrical energy and provide power during periods of power outages. Energy storage systems are broader solutions for storing electrical energy which often include inverter batteries (Lithium ion) as a component. Energy storage systems are becoming increasingly important for integrating renewable energy sources like solar ensuring stability and reliability. To maximize battery performance and extend lifespan, precise assessment of the batteries' state of charge, battery impedance, and remaining capacity is necessary. In this paper, Gamma Distribution (G (α, β)) and Weibull Distribution (W (α, β)) were used to model the lifetime batteries and energy storage systems in other to determine the maximum lifetime of an inverter batteries and secondly to compare the results obtained from the two distributions. The two probability distributions (The Gamma and The Weibull) were employed in the analysis of our simulated data because of their flexibility in modeling data longevity. From the results obtained, it was observed that the average lifespan of inverter batteries is seven years (7 years). Weibull distribution demonstrated superior fit when compared with Gamma distribution in handling the modeling of lifetime inverter batteries.