Current–voltage relations of a single intercalation battery electrode particle were modeled with the step current, step voltage, linear sweep voltage, and sinusoidal current signals. A solid solution with constant diffusivity, a solid solution with variable diffusivity, and a phase transformation material were considered for their thermodynamic and kinetic evaluations based on the regular solution model and the generalized Poisson–Nernst–Planck equations. The numerical simulation results were compared with known, small-signal solutions and experimental data throughout the article.