FSCs are considered one of the potential candidates to power next generation devices and power supplies, due to their useful properties such as high instantaneous power delivery, long term cycling stability, ability to perform in a broad range of temperatures, reduced charge–discharge time, etc. The major requirements for FSCs are structural flexibility and lightness in weight. Compared to conventional supercapacitors, the structural arrangements of FSCs are more compact and precise. Polydimethylsiloxane, polyethylene terephthalate, ethylene/vinyl acetate copolymer film, etc., are mostly preferred as flexible substrates for coating the active electrode material for assembling FSCs [30,31]. In contrary to conventional supercapacitors, which make use of metal electrodes as charge collectors, the highly conductive carbon nanotube networks in FSCs can simultaneously act as current collector and active electrode for charge storage [32,33,34,35].

Different configurations of flexible supercapacitors such as one-dimensional fibers, two-dimensional films, patterned supercapacitors, micro-supercapacitors, etc., (as shown in Figure 1) have been investigated based on their different electronic device application requirements such as weaving, wearing, or pasting [36,37,38]. These configurations are further sub-categorized, accompanied by inherent advantages and pitfalls. Winding, twisting, parallel, and coaxial designs are the four sub-categories of one-dimensional fiber FSCs [39,40,41]. The twisting setup offers enhanced contact surface, higher stretchability, and flexibility, due to the strong interaction between electrodes. Similarly, the coaxial setup also provides higher contact area as well as utilization of more surface area to enhance electrochemical performance [40,42,43]. It is inferred that one of the major benefits of one-dimensional (1D) fiber FSCs is their capability to form any shape, giving them considerable edge over conventional supercapacitors. In addition to flexibility as a major aspect of these configurations, other crucial performance parameters to achieve favorable activity include specific capacity, energy density, and cycling performance; these also require monitoring during construction. Furthermore, two-dimensional films and micro-supercapacitor configurations also have attractive features.

Ultra-thin, flexible, and lightweight, two-dimensional films are considered a promising candidate for FSCs. Nevertheless, these FSC configurations often encounter structural stability issues due to the formation of an interface between the flexible substrate and the active materials, which restricts electron conduction [44]. Moreover, in some cases low energy density issues have also been observed, which can be repaired using surface interface engineering [42]. Use of micro-supercapacitors is also beneficial for amplifying the energy and power density performances. Due to their dimension range of micrometers to centimeters, they are promising for powering future microelectronic devices [19,43]. Interdigital-type and sandwich-type configurations are the two frequently explored micro-supercapacitor setups. The interdigital-type configuration uses a pattern design of electrodes for the device. In this architecture, the electrodes are interconnected to each other to maintain a flow, appearing like a long spiral snake. In the sandwich-type, the electrodes are placed on each other with electrolytes in middle to maintain the connection. These structures exhibit efficient charge transport and stable structural integrity. However, precise fabrication methods and utilization of active materials are required to attain superior electrochemical activity.

Carbon has been widely used in various applications of science and technology, owing to its microscopic and macroscopic dimensional structures [45,46,47,48,49,50]. Carbon nanomaterials have unique physicochemical and structural characteristics, due to which they have been recommended by many studies. Owing to their higher conductivity and excellent electrochemical activity, the use of one-dimensional (1D) and two-dimensional (2D) carbon materials as electrochemical device components became a popular trend. Graphene, carbon nanotubes, carbon fibers, and carbon materials of different geometric structures are regarded as favorable choices for electrode material. Carbon film, carbon textile, carbon fabric, and paper-like flexible carbon networks have been found most efficacious when used in flexible supercapacitor devices. Basically, aggregation (caused by van der Waals forces or hydrogen bonds) of one-dimensional or two-dimensional carbon particles contributes to the fundamental architecture of carbon films, carbon textiles, carbon coating, or carbon fabric-like networks, used to fabricate efficient flexible electrodes [51,52]. The use of carbon fibers, graphene, or carbon nanotubes as starting materials is very common to prepare these flexible electrodes via preparation techniques such as chemical vapor deposition, dipping–drying, printing, weaving, filtration, etc. [53,54,55,56,57]. However, combination of pseudocapacitive materials (which can store charges through redox reactions) with these carbon networks has been introduced to improve the electrochemical performances of the resulting composite electrodes, due to the synergistic effects of individual components [58]. For instance, prepared fabrics may depict favorable properties such as outstanding flexibility, adequate strength, and stiffness, but at the same time exhibit low capacity which restricts the electrochemical activity of the fabricated electrode [59]. Use of carbon composite electrodes not only prevented such issues, but also improved electrochemical activity due to the presence of pseudocapacitive materials [60,61,62]. Various ranges of pseudocapacitive materials such as Polyaniline, Polypyrrole, Polyurethane, In₂O₃, MnO₂, RuO₂ etc. have been used to prepare carbon composite electrodes [30,53,62,63,64,65,66,67,68,69,70]. In order to fabricate such composite materials, solution-based physical mixing techniques, in situ growth techniques, electrodeposition and electropolymerization tend to be preferred [71]. Additionally, direct filtration has been used to prepare composite electrodes [72].

Along with carbon nanotubes (CNTs) and graphene, other forms of carbons including carbon nanospheres (CNSs), fullerene, etc., have been utilized to prepare composite materials for FSCs. Although these carbon materials show excellent conductivity, flexibility, accessible surface area, etc., they tend to restack during their synthesis due to van der Waals and electrostatic interactions, making them practically cumbersome for certain applications. So, preparing their composites with other nanostructured materials not only enhances their electrochemical performances, but also prevents them from restacking [73,74]. Xia et al. described metal grown on CNS core-shell arrays in which ZnO was used as a sacrificial template for the core-shell and Ni microtubes were grown above the CNS. The as-synthesized core-shell material when tested as a flexible symmetric supercapacitor exhibited a specific capacitance of 227 F g⁻¹ at 2.5 A g⁻¹ and an astounding stability of 97% after 40,000 cycles [75]. Strauss et al. reported porous graphene from carbon dots which showed a high volumetric capacitance of 27.5 mF L⁻¹ with a high energy and power density of 24.1 mW h L⁻¹ and 711 W L⁻¹ [76].

The 1D CNTs have shown beneficial electronic (electrical conductivity of 10⁷ S m⁻¹), mechanical (higher Young’s modulus and tensile strength), and thermal (thermal conductivity of 3500 W m⁻¹ K⁻¹) characteristics. In general, CNTs can be prepared using chemical vapor deposition, laser ablation, arc-discharge deposition methods etc. [77,78,79]. However, randomly organized morphologies of prepared CNT powders have exhibited property deterioration, and that is why suitably ordered macroscopic morphologies such as one-dimensional fibers, two-dimensional films, and three-dimensional sponges are recommended [80]. Wet spinning and chemical vapor deposition methods have been preferred for preparing 1D CNT fibers [81,82]. However, recent studies have demonstrated that by utilizing other synthesis procedures like electrospinning, better CNT fibers can be synthesized that have proven useful for flexible electronics application [83,84]. On the other hand, preparation of two-dimensional CNTs films involves techniques such as layer-by-layer assembly, spin coating, CVD and floating-catalyst CVD methods, and vacuum filtration [85,86,87,88].

Li et al. reported a facile one-pot synthesis of MnO₂ supported CNTs. The CNTs were coated uniformly by MnO₂ flakes, forming an open porous nanostructure facilitating the intercalation and de-intercalation of electrolyte. This not only increased the specific capacitance but also gave an ultrahigh stability of 10,000 cycles for 43 days with no observable change in performance [94]. Liu et al. prepared Zn₂GeO₄/CNT using a one-step hydrothermal method. Under solvothermal growth conditions, cross-linked metal oxide rods were grown within the CNT framework, which demonstrated a specific capacitance of 164.25 F g⁻¹ which dropped to 120 F g⁻¹ after 200,000 cycles [95]. Tan et al. reported a chemical deposition method for the synthesis of MnO₂/CNT by varying the synthesis time and pH. The best performance was obtained for 3 h synthesis time at pH 5, which exhibited 115 F g⁻¹ with 95% retention after 1000 cycles [96]. Wu et al. reported a 3D hierarchical self-standing structure with MnCO₃ decorated graphene-supported CNTs, which not only provided high mechanical stability for the assembled FSC, but also showed a high specific capacitance of 467.2 F g⁻¹. The assembled asymmetric device showed high energy density of 27 W h kg⁻¹. Furthermore, the composite exhibited good electrical conductivity and its CV pattern remained unchanged while bending at different angles (15°, 45°, and 90°) [97]. Faraji et al. reported a polyaniline (PANI) nanocomposite with CNT (PANI-CNT-PVC) as the flexible electrode for a supercapacitor, which showed a good electrochemical performance of 298 mF cm⁻² at 0.6 mA cm⁻² with a good stability of 86.5% after 5000 cycles, three times higher than that of conventional methods. The porous structure reduced the diffusive path length of the electrolyte and thereby improved the kinetics of electron transfer in the faradaic process [98].