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.