Abstract: A mathematical model of a lead-acid battery is presented. This model takes into account self-discharge, battery storage capacity, internal resistance, overvoltage, and environmental temperature. Nonlinear components are used to represent the behavior of the different battery parameters thereby simplifying the model design.
When modelling lead–acid batteries, it's important to remember that any model can never have a better accuracy than the tolerances of the real batteries. These variations propagate into other parameters during cycling and ageing.
This model can be used to accurately evaluate battery performance in electrical systems.< > A mathematical model of a lead-acid battery is presented. This model takes into account self-discharge, battery storage capacity, internal resistance, overvoltage, and environmental temperature.
A lead–acid battery has two main characteristics: the thermodynamic equilibrium voltage U0 and the complex battery impedance. These characteristics are represented in a basic Electrical Equivalent Circuit (EEC). When a discharge (load) or charge current flows through the terminals, voltage drops (overvoltages) across the impedance terms are added to U0.
The work of Lander in the 1950s is a baseline for the description of corrosion processes in the lead–acid battery. The development of microscopic models began in the 1980s and 1990s. For instance, Metzendorf described AM utilization, and Kappus published on the sulfate crystal evolution.
The challenges for modeling and simulating lead–acid batteries are discussed in Section16.3. Specifically, the manifold reactions and the changing parameters with State of Charge (SoC) and State of Health (SoH) are addressed.