Fractional model of the electrochemical capacitor relaxation phenomenon

The fractional model of the electrochemical capacitor (EC) relaxation phenomenon is presented herein. The EC relaxation phenomenon occurs when EC impedance measurements are performed after charge or discharge current interruption during potential relaxation. The EC fractional model is obtained based on the fractional order transfer function, obtained in turn by means of fitting the EC impedance data. The inverse Laplace transform is used to obtain the EC impulse response. Meanwhile, the EC charge and discharge simulations are performed using the EC impulse response.