Abstract: A method and an apparatus for determining characteristic parameters of a charge storage device based on a wide frequency range of impedance measurement and a non-linear equivalent circuit model by which the parameters of the non-linear equivalent circuit model indicative of the characteristics of various charge storage devices such as a primary battery, secondary battery, capacitor, supercapacitor and fuel cell are determined, the method comprising the steps of: (1) measuring voltage and current characteristics in a process of charging/discharging of the charge storage device by applying a voltage/current at a predetermined discharge rate; (2) measuring impedance spectra at a predetermined range of frequency by measuring the current and voltage from both terminals of the charge storage device or from an electrical load directly connected to the charge storage device at a plurality of states of charge within the entire charge/discharge interval; and (3) obtaining the parameters of the non-linear equivalent cir