Industrial & Engineering Chemistry Research, Vol.50, No.5, 2831-2838, 2011
Numerical Analysis of Alternating Current Voltammetry: Identifiability, Parameter Selection and Experimental Design
This paper describes a numerical analysis of the parametric identifiability of electrochemical systems. First, we analyze global identifiability of the entire set of parameters in a single alternating current voltammetry experiment and examine the effect of different waveforms (square, sawtooth) on the accuracy of the identification procedure. The analysis of global identifiability is equivalent to finding a global optimum of a specially designed function. The optimization problem is solved by a random search method, and a statistical analysis;1 of the obtained solution allows for selection of a subset of the parameters (or their linear combinations), which can be identified. Finally, we discuss optimization of the waveform for better identifiability.