Constrained Least-Squares Parameter Estimation for a Double Layer Capacitor
Author:
Jannif Nayzel I.1, Kumar Rahul R.1ORCID, Mohammadi Ali1ORCID, Cirrincione Giansalvo2, Cirrincione Maurizio1
Affiliation:
1. School of Information Technology, Engineering, Mathematics and Physics, University of the South Pacific, Private Mail Bag, Suva, Fiji 2. Laboratory of Novel Technologies, University of Picardie Jules Verne, 80000 Amiens, France
Abstract
This paper presents an estimation of the parameters for a Double Layer Super Capacitor (DLC) that is modelled with a two-branch circuit. The estimation is achieved using a constrained minimization technique, which is developed off-line and uses a single constraint to write the matrix equation. The model is algebraically manipulated to obtain a matrix equation, and a signal processing system is developed to prepare the signals for the identification algorithms. The proposed method builds on the results obtained using an unconstrained ordinary least-squares (OLS) technique. The method is tested both in simulation and experimentally, using a specially-designed experimental rig. A current ramp input is used to generate the corresponding output voltage and its derivatives. The results obtained from the constrained off-line minimization algorithm are compared with those obtained using a traditional off-line estimation method. The discussion of the results shows that the proposed method outperforms the traditional estimation technique. In summary, this paper contributes to the field of DLC parameter estimation by introducing a new off-line constrained minimization technique. The results obtained from the simulations and experimental rig demonstrate the effectiveness of the proposed method with two of three parameters showing relative errors less than 5%.
Funder
School of Information Technology, Engineering, Mathematics and Physics (STEMP) Research Committee Office of the Head of School of STEMP, USP
Subject
Energy (miscellaneous),Energy Engineering and Power Technology,Renewable Energy, Sustainability and the Environment,Electrical and Electronic Engineering,Control and Optimization,Engineering (miscellaneous),Building and Construction
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