On the efficient simulation of electrical circuits with constant phase elements: The Warburg element as a test case
Journal article, 2018

The constant phase Element (CPE) concept naturally emerges as a model for describing a range of electrical phenomena where ionic diffusion is involved. We suggest a new method for modelling the transient behavior of electrical circuits that contain CPE elements. Without loss of generality, we study the Warburg element to demonstrate the method, but the method can be easily extended to any CPE. Transient simulations of such elements require the numerical evaluation of a computationally expensive convolution integral that links the voltage drop across the element, with the current that passed through it. In our work we suggest a new method for reducing the computational cost of the numerical evaluation of the convolution integral.We show that the computational cost can be reduced by one order of magnitude.

warburg element

convolution integral

electrical circuit simulator

closure techniques

constant phase element


Vasileios Athanasiou

Chalmers, Microtechnology and Nanoscience (MC2), Electronics Material and Systems

Zoran Konkoli

Chalmers, Microtechnology and Nanoscience (MC2), Electronics Material and Systems

International Journal of Circuit Theory and Applications

0098-9886 (ISSN) 1097-007X (eISSN)

Vol. 46 5 1072-1090

Reservoir Computing with Real-time Data for future IT (RECORD-IT)

European Commission (EC) (EC/H2020/664786), 2015-09-01 -- 2018-08-31.

Areas of Advance

Information and Communication Technology

Nanoscience and Nanotechnology


Basic sciences

Driving Forces

Innovation and entrepreneurship

Subject Categories

Condensed Matter Physics



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