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. (C) 2011 Elsevier B.V. All rights reserved.