Impedance-based simulation models of supercapacitors and Li-ion batteries for power electronic applications

Buller, S.; Thele, M.; Doncker, Rik W. De; Karden, E.

doi:10.1109/ias.2003.1257769

Cited by 225 publications

(62 citation statements)

References 3 publications

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“…For example, some researchers have applied small-amplitude techniques such as impedance spectroscopy [57][58][59][60][61][62][63][64][65][66][67][68][69][70], while others have applied large-amplitude techniques such as cyclic voltammetry [71][72][73][74][75][76][77]. A few pioneers have even performed computer simulations [78][79][80][81][82][83][84][85][86][87][88][89][90].…”

Section: Introductionmentioning

confidence: 99%

A universal equivalent circuit for carbon-based supercapacitors

Fletcher

Black

Kirkpatrick

2013

J Solid State Electrochem

133

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A universal equivalent circuit is proposed for carbon-based supercapacitors. The circuit, which actually applies to all porous electrodes having non-branching pores, consists of a single vertical ladder network in series with an RC parallel network. This elegant arrangement explains the three most important shortcomings of present-day supercapacitors, namely open circuit voltage decay, capacitance loss at high frequency, and voltammetric distortion at high scan rate. It also explains the shape of the complex plane impedance plots of commercial devices and reveals why the equivalent series capacitance increases with temperature. Finally, the construction of a solid-state supercapacitor simulator is described. This device is based on a truncated version of the universal equivalent circuit, and it allows experimenters to explore the responses of different supercapacitor designs without having to modify real supercapacitors.

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Section: Introductionmentioning

confidence: 99%

A universal equivalent circuit for carbon-based supercapacitors

Fletcher

Black

Kirkpatrick

2013

J Solid State Electrochem

133

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“…The model shown in Fig. 4 is selected to simulate the Nyquist plot; thus, the simulated results in low frequency cannot describe diffusion impedance that shows a 45° slope, which is typical in Warburg impedance [9] from Fig. 7(b).…”

Section: B Frequency Response Measurement and Resultsmentioning

confidence: 99%

Fundamental Small-signal Modeling of Li-ion Batteries and a Parameter Evaluation Using Levy's Method

Zhang¹,

Zhang²,

Zhang³

2017

Journal of Power Electronics

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The fundamental small-signal modeling of lithium-ion (Li-ion) batteries and a parameter evaluation approach are investigated in this study to describe the dynamic behaviors of small signals accurately. The main contributions of the study are as follows. 1) The operational principle of the small signals of Li-ion batteries is revealed to prove that the sinusoidal voltage response of a Li-ion battery is a result of a sinusoidal current stimulation of an AC small signals. 2) Three small-signal measurement conditions, namely stability, causality, and linearity, are proved mathematically proven to ensure the validity of the frequency response of the experimental data. 3) Based on the internal structure and electrochemical operational mechanism of the battery, an AC small-signal model is established to depict its dynamic behaviors. 4) A classical least-squares curve fitting for experimental data, referred as Levy's method, are introduced and developed to identify small-signal model parameters. Experimental and simulation results show that the measured frequency response data fit well within reading accuracy of the simulated results; moreover, the small-signal parameters identified by Levy's method are remarkably close to the measured parameters. Although the fundamental and parameter evaluation approaches are discussed for Li-ion batteries, they are expected to be applicable for other batteries.

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“…The fractional aspect in general presents among the characteristics of electrochemical systems. They have been developed and evaluated through fractional order calculus in some researches [28]. Besides, by recent works, the FOC has been defined as mathematic operator using differentiation with integration to non integer order aD t q where q: the order, a and t : the bounds of the operation.…”

Section: Non Linear Fractional Modelmentioning

confidence: 99%