A novel approach for supercapacitors degradation characterization
Graphical abstract
Introduction
Supercapacitors (SCs), unlike other electrochemical storage devices, are able to deliver and store energy rapidly [1]. SCs ability to provide markedly high power densities (103–104 W kg−1) is a result of high surface area electrodes with a narrow distance to opposing ions at the double layer interface [2], [3]. The lack of chemical reactions in the main energy storage mechanism leads to prolonged cycle-life [4]. It is common to monitor the state of the SC by measuring its equivalent series resistance (ESR) and capacitance. Once the ESR has increased by 100% from its initial state or the capacitance has declined by 20%, the cell has reached its end of life criteria [5].
The mechanisms associated with SCs performance degradation have been mainly related to decrease in the active area of the porous electrodes [6], [7]. A schematic structure of the SC active area is shown in Scheme 1. Organic electrolytes, most commonly acetone-nitrile (AN) and polycarbonate (PC), were found to react with the activated carbon (AC) electrodes to form polymeric products that precipitate onto the active surface and block the pores [8], [9]. Further electrolyte parasitic reaction leads to the formation of gaseous products, which causes an increased internal pressure in the device [10], [11]. This also contributes to depletion in the solvent content and precipitation of salts on the AC surface, which further diminishes the active area for the desired energy storage [12]. An additional factor that also advances degradation is oxidation of the current collector, causing its delamination from the electrodes and deterioration of the separator [5]. These findings were based on accelerated ageing tests, which included elevated temperatures and voltages that simulated standard ageing conditions [13].
One common method to comprehensively monitor the degradation process is electrochemical impedance spectroscopy (EIS) [15]. Preformed on a wide range of frequencies, EIS is especially beneficial for degradation characterization, since it is nondestructive and enables the assessment of the state of the SC without affecting the cell. Even though the measurement procedure is performed relatively easily, the interpretation of the results is a challenging task. Several models have been proposed in order to adequately characterize EIS measurements of SCs. All of them note that the spectrum is divided into two distinguished regions: the high frequency (HF) region where the transport of electrolyte ions towards the pores takes place, but the penetration depth is less than the pores size; the low frequency (LF) region, where the frequency is low enough to allow the ions to penetrate and reach the entire pore depth and the whole active area is approachable [16]. The De Levie model, which was introduced first, is based on the assumption that the pores are all identical, with a negligible diameter [17]. Since it does not take into account the dispersion in pore size, models containing constant phase element (CPE) were introduced [18] as alternatives. Other models, such as the multi pore (MP), suggest that the sample is comprised of different populations of pore sizes, each has its own contribution to the impedance spectrum [19]. Another model by Suss et al. also captures the difference in porosity in the electrodes structure [20].
Each of the above models highlights different aspects of the tested sample in an attempt to adequately interpret the measured data (e.g. the MP model and CPE; both fit the data well) and require some a priori knowledge regarding the sample. Moreover, oftentimes, while measuring during ageing, the impedance spectrum of the sample may change considerably; thus, the original model may not depict the data sufficiently at that stage. Our approach, laid in the following section, focuses on the analysis of relaxation times, which poses the ability to separate the different contributions to the impedance more clearly than other common techniques, such as equivalent circuit modelling (ECM) [21], [22]. Our approach introduces a novel technique to find the distribution function of relaxation times of SCs without almost any pre-knowledge regarding the system; in addition, it is flexible enough to depict plainly the changing impedance spectrum of the sample under test. In that manner, we are able to monitor the changes in the model parameters and correlate them to the known degradation phenomena. The aim of this article is to show a successful utilization of our analysis approach to monitor the degradation of SCs. Furthermore, by monitoring the change in the model parameters we are able to predict that the sample approach its end of life, before other common indicators (i.e., ESR and capacitance) suggest it.
Section snippets
Theoretical basis
Our analysis approach is based on finding the distribution function of relaxation times (DFRT), which stems from the EIS measurements, using an evolutionary programming technique [23]. The correlation between the impedance and the DFRT is presented in Eq. (1):
Where Z is the impedance, R∞ is the series resistance, Rpol is the total polarization resistance, Г is the DFRT, τ is the relaxation time and ω is the angular frequency. Equation (1) is the log scale
Accelerated degradation procedure
The tested cells used were commercial Murata SCs, model DMF4B5R5G105M3DTA0, capacitance of 1 F and maximum ESR of 50 mΩ. The cells were placed in an ageing chamber specially designed for this study (Figs. S1a and b). The chamber enables applying specific temperatures and voltages on the tested cells. We divided the cells into 2 groups; each was subjected to a different temperature during the accelerated tests, 70 °C and 50 °C. In each temperature group, the cells were held at 3 different
Supercapacitor operation characterization
All tested cells show the same DFRT plot, prior to their ageing test, as can be seen in Fig. 2. The DFRT plot is comprised of three distinct peaks, which are numbered in roman numerals in the figure. Peak I is associated with what is referred to in the introductory section as the HF region, i.e. the transport of electrolyte ions through the larger pores and towards the deeper pores, where most of the capacitance is attained [30]. Peak II, which takes place at lower frequencies, is correlated
Conclusions
We demonstrated the use of a novel method to analyze EIS of SCs regarding the characterization of their degradation process. We found that the change in the microstructure, caused by formation of precipitates due to electrolyte parasitic reactions, is manifested in our analysis in two major fashions: a decrease in the capacitance gained during the transport of ions towards the deeper pores (in the HF region of the spectrum) and a longer time for the ions to penetrate to the entire pore depth.
Acknowledgment
The financial support of the Nancy and Stephen Grand Technion Energy Program (GTEP) and the Israel Science Foundation grant No. 2797/11 and INREP-2 are gratefully acknowledged.
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Both authors contribute equally to this work.