Porous electrode theory for ultracapacitor modelling and experimental validation

This paper deals with ultracapacitor modelling. From porous electrode model proposed by Grh, a Paasch like model is obtained. In comparison with Paaschpsilas model rough nature of the interface is taken into account, through the introduction of a fractional integrator in the impedance model. Then a non-linear model taking voltage dependency into account is obtained and the model parameters are identified using frequency response measurements. The parameter variations are fitted by a polynomial expression. The model obtained is validated in the first time with a specific current profile of charge and discharge, and in a second time with a current profile made of a combination of several pulses which may be encountered in the mission profile of Hybrid Electric Vehicles.

[1]  Jean-Michel Vinassa,et al.  Characterization methods and modelling of ultracapacitors for use as peak power sources , 2007 .

[2]  Alain Oustaloup,et al.  From fractal robustness to the CRONE control , 1999 .

[3]  Bernard Davat,et al.  Supercapacitors electrical behaviour for power electronics applications , 2000 .

[4]  R. Bonert,et al.  Characterization of double-layer capacitors (DLCs) for power electronics applications , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[5]  Jean-Michel Vinassa,et al.  Study of ultracapacitors dynamic behaviour using impedance spectroscopy on a dedicated test bench , 2004, ISIE 2004.

[6]  Venkat Srinivasan,et al.  Mathematical Modeling of Electrochemical Capacitors , 1999 .

[7]  John R. Miller,et al.  Electrochemical capacitor thermal management issues at high-rate cycling , 2006 .

[8]  Ralph E. White,et al.  A Mathematical Model for a Lithium-Ion Battery/Electrochemical Capacitor Hybrid System , 2005 .

[9]  O. Briat,et al.  Study of ultracapacitors dynamic behaviour using impedance frequency analysis on a specific test bench , 2004, 2004 IEEE International Symposium on Industrial Electronics.

[10]  J. H. van Lenthe,et al.  The metal side of the electrical double layer at the metal/electrolyte interface An ab initio quantum chemical cluster study , 1984 .

[11]  N. Retiere,et al.  Half-order modelling of supercapacitors , 2004, Conference Record of the 2004 IEEE Industry Applications Conference, 2004. 39th IAS Annual Meeting..

[12]  K. Micka,et al.  Theory of the electrochemical impedance of macrohomogeneous porous electrodes , 1993 .

[13]  J. J. Quintana,et al.  IDENTIFICATION OF THE FRACTIONAL IMPEDANCE OF ULTRACAPACITORS , 2006 .

[14]  Jaan Leis,et al.  Electrical double layer characteristics of nanoporous carbon derived from titanium carbide , 2006 .