On the modeling of the multi-segment capacitance: a fractional-order model and Ag-doped SnO2 electrode fabrication
Source abstract
Abstract
This study proposes a methodology of electrochemical capacitor modeling via fractional-order impedance equation for porous electrodes fabricated with pure and Ag-doped SnO2 nanoparticles. It was carried out to prove the assumption that fractional-order integrodifferential expressions better model the various real systems. Firstly, the pure and different amounts of silver (Ag)-doped tin oxide (SnO2) nanoparticles were produced using the hydrothermal method. Tin (II) chloride dihydrate (SnCl2·2H2O) was used as an Sn source and (AgNO3) as an Ag source. Hydrothermal synthesis was completed at 200 °C for 24 h. The synthesized particles were calcined at 600 °C for 2 h. All of the structural and morphological properties were investigated by FT-IR, XRD, FE-SEM, and EDX. It has been observed that the hydrothermal method successfully produced nano-SnO2 particles without and with Ag dopant. As a result of the applied procedure, the structural properties of SnO2 nanoparticles, such as physical shape, were changed from spherical-like to nano-sheet with the Ag doping. Next, the nanopowders were coated on AZ31 magnesium sheets. Electrochemical impedance spectroscopy measurements were examined to determine the capacitance of EC materials with Ag-doped SnO2 nanoparticles. Finally, using the multi-objective cost function, the experimentally measured real and imaginary impedance parts are fitted to the proposed fractional-order model by the particle swarm optimization algorithm. It has been proven that fractional-order modeling enables finding the electrical parameters and properties of EC with higher accuracy. Furthermore, the Ag-doped SnO2 electrode can significantly improve electrical performance because of the increase in conductivity. The total capacitance gets increased by 10.788% for 7% Ag-doped SnO2 against pure SnO2.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Supercapacitor Materials and Fabrication · Gas Sensing Nanomaterials and Sensors · Conducting polymers and applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (47)
Show source-provided references
1. Asaithambi S, Sakthivel P, Karuppaiah M et al (2020) Investigation of electrochemical properties of various transition metals doped SnO2 spherical nanostructures for supercapacitor applications. J Energy Storage. https://doi.org/10.1016/j.est.2020.10153010.1016/j.est.2020.101530 ↗
2. Miller JR (2018) Perspective on electrochemical capacitor energy storage. Appl Surf Sci. https://doi.org/10.1016/j.apsusc.2017.10.01810.1016/j.apsusc.2017.10.018 ↗
3. Zhang Y, Feng H, Wu X et al (2009) Progress of electrochemical capacitor electrode materials: a review. Int J Hydrogen Energy 334:4889–489910.1016/j.ijhydene.2009.04.005 ↗
4. Parthibavarman M, Vallalperuman K, Sathishkumar S et al (2014) A novel microwave synthesis of nanocrystalline SnO2 and its structural optical and dielectric properties. J Mater Sci Mater Electron. https://doi.org/10.1007/s10854-013-1637-910.1007/s10854-013-1637-9 ↗
5. Ahmed A, Siddique MN, Ali T, Tripathi P (2018) Influence of reduced graphene oxide on structural, optical, thermal and dielectric properties of SnO2 nanoparticles. Adv Powder Technol. https://doi.org/10.1016/j.apt.2018.09.02610.1016/j.apt.2018.09.026 ↗
6. Sahay PP, Mishra RK, Pandey SN et al (2013) Structural, dielectric and photoluminescence properties of co-precipitated Zn-doped SnO2 nanoparticles. Curr Appl Phys. https://doi.org/10.1016/j.cap.2012.09.01010.1016/j.cap.2012.09.010 ↗
7. Ahmed A, Tripathi P, Naseem Siddique M, Ali T (2017) Microstructural, optical and dielectric properties of Al-incorporated SnO 2 nanoparticles. IOP Conf Ser Mater Sci Eng. https://doi.org/10.1088/1757-899x/225/1/01217310.1088/1757-899x/225/1/012173 ↗
8. Siddique MN, Ahmed A, Ali T, Tripathi P (2018) Frequency dependent dielectric properties of Sr doped NiO nanostructures. In: AIP Conference Proceedings. p 050037. https://doi.org/10.1063/1.503269210.1063/1.5032692 ↗
9. Pandian SK, Karthik K, Sureshkumar K, Jaya NV (2012) Effect of Mn-doping on structural, optical, and dielectric properties of SnO2 nanoparticles by Coprecipitation method. Mater Manuf Process 27:130–134. https://doi.org/10.1080/10426914.2011.55713010.1080/10426914.2011.557130 ↗
10. Jahnavi VS, Tripathy SK, Rao AVNR (2020) Study of the structural, optical, dielectric and magnetic properties of copper-doped SnO2 nanoparticles. J Electron Mater 49:3540–3554. https://doi.org/10.1007/s11664-020-08028-710.1007/s11664-020-08028-7 ↗
11. Hu L, Chen F, Hu P et al (2016) Hydrothermal synthesis of SnO2/ZnS nanocomposite as a photocatalyst for degradation of Rhodamine B under simulated and natural sunlight. J Mol Catal A Chem 411:203–213. https://doi.org/10.1016/j.molcata.2015.10.00310.1016/j.molcata.2015.10.003 ↗
12. Suthakaran S, Dhanapandian S, Krishnakumar N, Ponpandian N (2020) Hydrothermal synthesis of surfactant assisted Zn doped SnO2 nanoparticles with enhanced photocatalytic performance and energy storage performance. J Phys Chem Solids. https://doi.org/10.1016/j.jpcs.2020.10940710.1016/j.jpcs.2020.109407 ↗
13. Huang BJ, Li F, Zhang CW et al (2014) The electronic structure and optical properties of Ag-doped SnO2 monolayer. J Phys Soc Japan. https://doi.org/10.7566/JPSJ.83.06470110.7566/JPSJ.83.064701 ↗
14. Bahadur J, Agrawal S, Parveen A et al (2015) Micro-structural, Optical and dielectric properties of Ag doped TiO2 synthesized by Sol-Gel method. Mater Focus 4:134–141. https://doi.org/10.1166/mat.2015.122810.1166/mat.2015.1228 ↗
15. Podlubny I (1999) Fractional differential equations. Academic Press, San Diego
16. Ates A, Alagoz BB, Kavuran G, Yeroglu C (2017) Implementation of fractional order filters discretized by modified fractional order darwinian particle swarm optimization. Measurement 107:153–16410.1016/j.measurement.2017.05.017 ↗
17. Ates A, Alagoz BB, Kavuran G, Yeroglu C (2020) Fine-tuning of feedback gain control for hover quad copter rotors by stochastic optimization methods. Iran J Sci Technol - Trans Electr Eng. https://doi.org/10.1007/s40998-020-00323-710.1007/s40998-020-00323-7 ↗
18. Alagoz BB, Kavuran G, Ates A, Yeroglu C (2017) Reference-shaping adaptive control by using gradient descent optimizers. PLoS ONE 12:e0188527. https://doi.org/10.1371/journal.pone.018852710.1371/journal.pone.0188527 ↗
19. Ben Soltan W, Mbarki M, Ammar S et al (2016) Structural and optical properties of vanadium doped SnO2 nanoparticles synthesized by the polyol method. Opt Mater (Amst). https://doi.org/10.1016/j.optmat.2016.01.05910.1016/j.optmat.2016.01.059 ↗
20. Badran H, Yahia IS, Hamdy MS, Awwad NS (2017) Lithium-doped hydroxyapatite nanocomposites: synthesis, characterization, gamma attenuation coefficient and dielectric properties. Radiat Phys Chem. https://doi.org/10.1016/j.radphyschem.2016.08.00110.1016/j.radphyschem.2016.08.001 ↗
21. Cullity BD (1978) Elements of X-ray diffraction, 2nd edn. Addison-Wesley Publishing Co., Reading MA
22. Conway BE (2013) Electrochemical supercapacitors: scientific fundamentals and technological applications. Springer, US
23. Barsoukov E, Macdonald JR (2018) Impedance spectroscopy. John Wiley & Sons, Inc., Hoboken, NJ, USA10.1002/9781119381860 ↗
24. Martynyuk V, Ortigueira M, Fedula M, Savenko O (2018) Methodology of electrochemical capacitor quality control with fractional order model. AEU - Int J Electron Commun. https://doi.org/10.1016/j.aeue.2018.05.00510.1016/j.aeue.2018.05.005 ↗
25. Ortigueira MD (2011) Fractional calculus for scientists and engineers. Springer, Netherlands, Dordrecht10.1007/978-94-007-0747-4 ↗
26. Fletcher S, Black VJ, Kirkpatrick I (2014) A universal equivalent circuit for carbon-based supercapacitors. J Solid State Electrochem 18:1377–1387. https://doi.org/10.1007/s10008-013-2328-410.1007/s10008-013-2328-4 ↗
27. Itagaki M, Hatada Y, Shitanda I, Watanabe K (2010) Complex impedance spectra of porous electrode with fractal structure. Electrochim Acta 55:6255–6262. https://doi.org/10.1016/j.electacta.2009.10.01610.1016/j.electacta.2009.10.016 ↗
28. Abro KA, Khan I, Nisar KS, Atangana A (2021) Super-criticism of electrochemical double layer capacitor for diffusion phenomenon: a fractional application of ultracapacitor. Alexandria Eng J. https://doi.org/10.1016/j.aej.2021.01.05810.1016/j.aej.2021.01.058 ↗
29. Atangana A, Alkahtani BST (2015) Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel. Adv Mech Eng. https://doi.org/10.1177/168781401559193710.1177/1687814015591937 ↗
30. Miller KS, Ross B (1993) An introduction to the fractional calculus and fractional differential equations. Wiley
31. Oldham KB, Spanier J (1974) The fractional calculus: theory and applications of differentiation and integration to arbitrary order. Academic Press, New York
32. Shi Y, Eberhart R (1998) Modified particle swarm optimizer. In: Proceedings of the IEEE conference on evolutionary computation, ICEC
33. Shi Y, Eberhart RC (1998) Parameter selection in particle swarm optimization. In: Lecture notes in computer science (including subseries lecture notes in artificial intelligence and lecture notes in Bioinformatics). Springer Verlag, pp 591–60010.1007/BFb0040810 ↗
34. Eberhart R, Kennedy J (1995) New optimizer using particle swarm theory. In: Proceedings of the international symposium on micro machine and human science
35. Bahade S, Lanje A, Sharma S (2018) Influence of ceria doping On structural and optical properties of tin oxide nanoparticles. Int J Curr Eng Sci Res 5:235–241
36. Shyamala R, Devi LG (2018) Synthesis, characterisation and evaluation of photocatalytic activity of V-doped SnO2 semiconducting particles under solar light. REST J Emerg Trends Model Manuf 4:16–22
37. Babu B, Kadam AN, Ravikumar RVSSN, Byon C (2017) Enhanced visible light photocatalytic activity of Cu-doped SnO2 quantum dots by solution combustion synthesis. J Alloys Compd. https://doi.org/10.1016/j.jallcom.2017.01.31110.1016/j.jallcom.2017.01.311 ↗
38. Khan SA, Kanwal S, Rizwan K, Shahid S (2018) Enhanced antimicrobial, antioxidant, in vivo antitumor and in vitro anticancer effects against breast caner cell line by green synthesized un-doped SnO2 and Co-doped SnO2 nanoparticles from Clerodendrum inerme. Microb Pathog. https://doi.org/10.1016/j.micpath.2018.09.04110.1016/j.micpath.2018.09.041 ↗
39. Yakout SM (2019) Inclusion of cobalt reinforced Ag doped SnO2 properties: electrical, dielectric constant, magnetic and photocatalytic insights. J Mater Sci Mater Electron. https://doi.org/10.1007/s10854-019-02052-y10.1007/s10854-019-02052-y ↗
40. Zhou Q, Chen W, Xu L et al (2018) Highly sensitive carbon monoxide (CO) gas sensors based on Ni and Zn doped SnO2 nanomaterials. Ceram Int. https://doi.org/10.1016/j.ceramint.2017.12.03810.1016/j.ceramint.2017.12.038 ↗
41. Tomer VK, Duhan S (2016) A facile nanocasting synthesis of mesoporous Ag-doped SnO2 nanostructures with enhanced humidity sensing performance. Sensors Actuators, B Chem. https://doi.org/10.1016/j.snb.2015.09.13910.1016/j.snb.2015.09.139 ↗
42. Kumar Nair K, Kumar P, Kumar V et al (2018) Synthesis and evaluation of optical and antimicrobial properties of Ag-SnO2 nanocomposites. Phys B Condens Matter. https://doi.org/10.1016/j.physb.2017.08.02810.1016/j.physb.2017.08.028 ↗
43. Zhao Q, Ju D, Deng X et al (2015) Morphology-modulation of SnO2 hierarchical architectures by Zn doping for glycol gas sensing and photocatalytic applications. Sci Rep. https://doi.org/10.1038/srep0787410.1038/srep07874 ↗
44. Miao Y-H, Hu H-Y, Song J-J et al (2017) Effects of rapid thermal annealing on crystallinity and Sn surface segregation of Ge1-xSnx films on Si (100) and Si (111). Chinese Phys B 26:127306. https://doi.org/10.1088/1674-1056/26/12/12730610.1088/1674-1056/26/12/127306 ↗
45. Chouhan L, Panda SK, Bhattacharjee S et al (2021) Room temperature d0 ferromagnetism, zero dielectric loss and ac-conductivity enhancement in p-type Ag-doped SnO2 compounds. J Alloys Compd. https://doi.org/10.1016/j.jallcom.2021.15951510.1016/j.jallcom.2021.159515 ↗
46. Vignesh K, Hariharan R, Rajarajan M, Suganthi A (2013) Photocatalytic performance of Ag doped SnO2 nanoparticles modified with curcumin. Solid State Sci. https://doi.org/10.1016/j.solidstatesciences.2013.04.01710.1016/j.solidstatesciences.2013.04.017 ↗
47. Gupta VK, Fakhri A, Tahami S, Agarwal S (2017) Zn doped CdO nanoparticles: Structural, morphological, optical, photocatalytic and anti-bacterial properties. J Colloid Interface Sci. https://doi.org/10.1016/j.jcis.2017.05.02610.1016/j.jcis.2017.05.026 ↗