Flexible Supercapacitors. Группа авторов

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SCs,

      Source: Reproduced with permission [36]. © 2013, Wiley‐VCH.

      2D planar SCs, the individual elements are:

      Source: Reproduced with permission [37]. © 2013, Wiley‐VCH. Reproduced with permission [38]. © 2013, American Chemical Society. Reproduced with permission [39]. © 2017, Wiley‐VCH.

      3D SCs,

      Source: Reproduced with permission [40]. © 2016, American Chemical Society.

      Multifunctional: self‐healable SCs,

      Source: Reproduced with permission [31]. © 2015, Nature Publishing Group.

      Compressible SCs,

      Source: Reproduced with permission [41]. © 2015, WILEY‐VCH.

      Integrated system,

      Source: Reproduced with permission [101]. © 2018, Elsevier Ltd.

Schematic illustration of the structure and voltage, energy distribution of 1D fiber SCs: twisted and coaxial. (a, b) Schematic diagram of the coaxial and twisted fiber SCs. (c–f) The voltage distribution and energy distribution of the two structures simulated by ANSYS Maxwell software.

      Source: Reproduced with permission [52]. © 2018, Wiley‐VCH.

      According to the following equation, the energy densities (E) and capacitance (C) can be calculated:

      (2.1)normal upper C equals StartFraction upper Q Over upper V EndFraction d upper E equals d upper Q asterisk upper V

upper Q 1 equals upper C 10 upper V 1 plus upper C 12 left-parenthesis upper V 1 minus upper V 2 right-parenthesis

      Then capacitance matrix is derived from Eq. (2.2) as:

      (2.3)StartBinomialOrMatrix upper Q 1 Choose upper Q Baseline 2 EndBinomialOrMatrix equals Start 2 By 2 Matrix 1st Row 1st Column upper C 10 plus upper C 12 2nd Column minus upper C 12 2nd Row 1st Column upper C 20 plus upper C 21 2nd Column minus upper C 21 EndMatrix StartBinomialOrMatrix upper V 1 Choose upper V 2 EndBinomialOrMatrix

      Where Q represents the quantity of electric charge, V stands for voltage.

      A capacitance ratio of 5.14 : 1 was obtained between the two structures, confirming and explaining the better electrochemical performances of the coaxial SCs coming from the shorter distance between positive and negative electrode, more uniform potential distribution and better conductivity. But the fabrication process of the coaxial SCs is much more complicated in comparison with twisted devices. These simulation results provide a theoretical support to the design of the fiber SCs from the views of the device configuration, which can be applied and extended to other filed that refers to the devices structures.

      2.2.1.1 Fabrication of Stretchable Parallel SCs

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