Time-domain modeling of constant phase element for simulation of lithium batteries under arbitrary charging and discharging current profiles

Cheng, Chun Sing; Chung, Henry Shu-Hung; Lau, Ricky Wing Hong

doi:10.1109/apec.2017.7930816

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…In the slower initialization case (I 0 = 0.33 A during 3600 s), the error in Q and α is lower, but still important. The good fit obtained in some cases, such as those considered here with t 0 equal to 500 s and 3600 s, justifies the good result obtained by the authors, who used a non-decaying initial voltage [29,30]. However, the CPE parameter values obtained to represent the experimental results would have been different if a suitable decay function had been included.…”

Section: Discussionsupporting

confidence: 70%

“…Time-domain models for predicting the voltage-current characteristics of lithiumion batteries under arbitrary charging and discharging current profiles have been reported, showing a higher accuracy than the traditional models with multiple parallel RC units [29,30]. The initial voltage has been considered in an equation similar to (14).…”

Section: Initialization Of the Cpementioning

confidence: 99%

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Constant Phase Element in the Time Domain: The Problem of Initialization

López‐Villanueva

Rodríguez‐Bolívar

2022

Energies

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The constant phase element (CPE) is found in most battery and supercapacitor equivalent circuit models proposed to interpret data in the frequency domain. When these models are used in the time domain, the initial conditions in the fractional differential equations must be correctly imposed. The initial state problem remains controversial and has been analyzed by various authors in the last two decades. This article attempts to clarify this problem by proposing a procedure to prepare the initial state and defining a decay function that reveals the effect of the initial state in several illustrative examples. This decay function depends on the previous history, which is reflected in the time needed to prepare the initial state and on the current profile assumed for this purpose. This effect of the initial state is difficult to separate and can lead to the misinterpretation of the CPE parameter values.

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Section: Discussionsupporting

confidence: 70%

Section: Initialization Of the Cpementioning

confidence: 99%

Constant Phase Element in the Time Domain: The Problem of Initialization

López‐Villanueva

Rodríguez‐Bolívar

2022

Energies

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“…(1.40) required for the element's impedance. Such non-integer values result in either fractional derivatives when determining a time-domain relationship or require a system with infinite memory [16].…”

Section: Warburg Elementmentioning

confidence: 99%

State-Space Randles Cell Model for Instrument Calibration

Fonseca

Green

2020

2020 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE)

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It is desirable to calibrate electrochemical impedance spectroscopy (EIS) instrumentation using a Randles circuit. This presents a challenge as realistic loads, simulated by this circuit, contain theoretical components (Warburg elements) that are difficult to model. This thesis proposes a state-space solution to this problem and explores the process of realizing a digital high-accuracy approximation of a Randles circuit for the purposes of verifying and calibrating EIS instrumentation. Using Valsa, Dvořák, and Friedl's network approximation of a Warburg element, a collection of state-space relations describing the impedance of a Randles circuit are derived. From these equations the process of realizing a digital system is explored; this includes a discussion on methods of discretization, an overview of the challenges of realizing digital filters, and an analysis of the effects that finite word-length has on the accuracy of the model when using fixed-point hardware.

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“…The Constant Phase Element (CPE) is a particular equivalent circuit passive element, which improves the match between the fit and the experimental battery EIS measurement in broadband. Usually it is used to describe the electrical properties of double layer capacitors [13] between the battery electrode and the electrolyte [14]. Its transfer function in frequency domain is defined as follows:…”

Section: A Analysis In Frequency-domainmentioning

confidence: 99%

“…Therefore, impedance circuit parameters are estimated using appropriate best fitting algorithms in order to simulate the same impedance measurements in Nyquist plot [11]. As shown in [10]- [13], distributed parameters like the Constant Phase Elements (CPEs) are introduced to accurately fitting the battery impedance curve in Nyquist. These parameters have constant phase in all the frequency band and they are represented with irrational function.…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of Constant Phase Element for battery Electrochemical Impedance Spectroscopy

Locorotondc

Pugi

Berzi

et al. 2019

2019 IEEE 5th International Forum on Research and Technology for Society and Industry (RTSI)

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This paper presents a set of time-domain electrical equivalent circuit models for battery voltage prediction under arbitrary current profiles. The circuit model is composed by passive electrical components like resistance, inductance and capacitance. The constant phase elements are introduced in the model, which are usually used in electrochemical impedance spectroscopy analysis to describe the electrical property of double layer capacitors between electrode and electrolyte. The aim of the paper is the modeling in the time-domain of the constant phase elements. Two models are proposed. Model's accuracy and run speed are evaluated by comparing experimental results obtained by an appropriate testbed and simulation results obtained by the implementation and the execution of the model using Matlab software.

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Time-domain modeling of constant phase element for simulation of lithium batteries under arbitrary charging and discharging current profiles

Cited by 4 publications

References 9 publications

Constant Phase Element in the Time Domain: The Problem of Initialization

Constant Phase Element in the Time Domain: The Problem of Initialization

State-Space Randles Cell Model for Instrument Calibration

Modeling and simulation of Constant Phase Element for battery Electrochemical Impedance Spectroscopy

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