Analyzing Discharge Cycles in Lithium-Ion Batteries: Using Integration to Calculate Total Energy Capacity over Time

Abstract

Lithium-ion batteries are widely used in modern electronic devices, electric vehicles, and energy storage systems due to their high energy density and efficiency. Understanding their discharge behavior is essential for optimizing performance and lifespan. This paper presents a mathematical and analytical approach to modeling battery discharge cycles using integration to calculate total energy capacity over time. By representing voltage and current as time-dependent functions, integration techniques are used to determine energy output during discharge. The study demonstrates that calculus-based models provide accurate and insightful analysis of battery performance, enabling improved battery management and design.