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This article employs the method of electrochemical impedance spectroscopy (EIS) to extend the physics-based, nonlinear equivalent circuit models of supercapacitors (SCs) to describe lithium-ion batteries (Li-ion). The following section briefly introduces the method of electrochemical impedance spectroscopy and presents measured impedance spectra. From these spectra, appropriate equivalent-circuit models are deduced. After this, the MATLAB/Simulink implementation of the new simulation models is discussed, and simulation results, as well as verification measurements, are provided. Finally, conclusions are drawn, and future perspectives of the new impedance-based modeling approach are outlined.