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On the efficient simulation of electrical circuits with constant phase elements: The Warburg element as a test case
Author(s) -
Athanasiou Vasileios,
Konkoli Zoran
Publication year - 2018
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2474
Subject(s) - convolution (computer science) , electrical element , transient (computer programming) , electronic circuit , computer science , voltage , constant (computer programming) , element (criminal law) , voltage drop , work (physics) , electronic engineering , mechanics , control theory (sociology) , physics , electrical engineering , engineering , mechanical engineering , machine learning , artificial neural network , law , political science , programming language , operating system , control (management) , artificial intelligence
Summary 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.