Analytical Formulation for Power, Energy, and Efficiency Measurement of Ultracapacitor Using Fractional Calculus

Kumar, Mano Ranjan; Ghosh, Subhojit; Das, Shantanu

doi:10.1109/tim.2019.2899479

Cited by 31 publications

(11 citation statements)

References 24 publications

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“…But somewhere or the other above listed factors determine the performance that subsequently affects its efficiency. While Reference 83 mainly focuses on ESR and charging current determining efficiency, Reference 86 has shown some important dynamic features of supercapacitor responsible for charge storage and redistribution.…”

Section: Analysis Of Efficiency Estimationmentioning

confidence: 99%

A review on characterization of supercapacitors and its efficiency analysis for different charging methods and applications

et al. 2022

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The dependence on renewable energy to solve the major energy issues related to global warming and shortage of energy resources is increasing drastically. This has led to high level awareness of proper energy storage and management. In this regard, supercapacitors have evolved as an efficient energy storage solution and hence successfully employed in several applications. This is attributed to its high-power density, superior performance, and extended maintenance-free lifetime. Also, it is known for low equivalent series resistance, that means, only a small amount of energy is lost while its charging/ discharging even at high current. As a result, it has developed a lot of inquisitiveness among the research community of recent past for further exploration of different aspects of supercapacitors, ranging from material science, modeling and characterizations, engineering applications, and so forth. This review article aims at putting forth an exclusive study of their characterization of supercapacitor for different charging methods and applications. Further, the prime focus is given to the efficiency estimation of supercapacitors which is very essential as it denotes the amount of energy loss or the utilizable state of charge. The analysis has been carried out based on different charging methods and applications, which is essential for improving overall system reliability and performance. The purpose is to organize all important research carried out in this domain till date and to stimulate further insights for effective energy storage and management.

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Section: Analysis Of Efficiency Estimationmentioning

confidence: 99%

A review on characterization of supercapacitors and its efficiency analysis for different charging methods and applications

et al. 2022

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“…Adding a CPE in equivalent circuit models can simulate super capacitor more accurately. Therefore, some studies on FOMs have been developed in recent years, and several typical FOMs 15,20,27 are shown in Figure 3. In Figure 3A, a fractional‐order capacitor

C^{α}

is in series with an equivalent resistor

R_{Ω}

.…”

Section: Correlation Analysis Between Electrochemical Principle Model...mentioning

confidence: 99%

Enhancing parameter identification of electrochemical double layer capacitors by fractional‐order equivalent impedance models and Levy flight strategy

Chen

Pei

2022

Circuit Theory & Apps

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This paper focuses on the parameter identification issue of electrochemical double layer capacitors (EDLCs). The superiority of the fractional-order equivalent impedance model is revealed mathematically and electrochemically by analyzing the variation trends of different models and the general electrochemical impedance spectroscopy (EIS) of EDLCs. Since the fractional-order models can be used to describe the long-tailed variation trend of the EIS of EDLCs in the low-frequency band and can reflect the self-charging phenomenon of EDLCs, the accuracy of parameter identification can be ensured. In addition, the idea of Levy flight is introduced and combined with the intelligent algorithms in the parameter identification process, thus accelerating the convergence rate of the parameter identification process. At the same time, the problem of nonconvex fitness function falling into local optimum can be solved. To confirm the effectiveness and superiority of this work, we provided diverse test scenarios. We used three different types of EDLCs, while a series of scenarios with or without Levy flight strategy were included in the tests. In our work, we compared not only the accuracy of the parameter identification but also the convergence rate of the identification process. The test results show that, by applying the proposed scheme, the sum of square error (SSE) between experiments and parameter identification results is less than 1.9%. Moreover, the convergence rate of the parameter identification process was improved. In extreme conditions, the convergence rate is 1287% faster than the schemes without Levy flight strategy.

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“…In this work, we approach the problem from a general system identification perspective as described by the set of Eqs. (2).…”

Section: Theorymentioning

confidence: 99%

Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices

Allagui¹,

Elwakil²,

Wang³

2022

Preprint

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In this work, we aim to show that there are generally four possible mapping functions that can be used to map the time-domain or frequency-domain representations of an applied voltage input to the resulting time-domain or frequencydomain electrical charge output; i.e. when the capacitive device is voltage-charged. Alternatively, there are four more possible combinations when the device is current-charged. The dual relationship between each pair of functions for the case of voltage or charge input are provided in terms of single or double Fourier transforms. All eight system functions coincide with each other if and only if a constant time-and frequency-independent capacitance is considered.

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Analytical Formulation for Power, Energy, and Efficiency Measurement of Ultracapacitor Using Fractional Calculus

Cited by 31 publications

References 24 publications

A review on characterization of supercapacitors and its efficiency analysis for different charging methods and applications

A review on characterization of supercapacitors and its efficiency analysis for different charging methods and applications

Enhancing parameter identification of electrochemical double layer capacitors by fractional‐order equivalent impedance models and Levy flight strategy

Time-Domain and Frequency-Domain Mappings of Voltage-to-Charge and Charge-to-Voltage in Capacitive Devices

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