3.1. Geometrical Design of the STEG and Electrical Performance
The STEG was designed based on the structure of a free-standing mode TEG, in which the copper electrodes on the inner cylinder and outer cylinder corresponded to alternative electrodes and moving objects, respectively. For the investigation and fabrication of a STEG that is compatible with the current suspension systems in vehicles, the materials were selected to satisfy, not only the triboelectric series, which indicates how much the material has tendency to have a positive or negative surface charge, but also to maintain the reliability of the suspension system.
The schematic structure and triboelectric energy regenerative suspension application is featured in
Figure 1a. Each cylinder was made of aluminum, and flexible PCB comprised of polyimide (PI) substrate and alternating copper electrodes was covered by a perfluoroalkoxy film (PFA) on the inner cylinder. Optical images, material, and structure of STEG are shown in
Figure S1. The outer cylinder had a grating structure on the inner surface and a slide along the PFA film, generating triboelectric charges. The size of the cylinder was 1:8 scaled size compared to commercial shock absorbers in the suspension systems of vehicles.
The working mechanism of STEG is based on that of a free-standing mode TEG and is illustrated in
Figure 1a(i)–(iii) [
12]. The sliding motion of two cylinders leads to triboelectrification due to the friction between the PFA film and the outer cylinder. Subsequently, the PFA film and aluminum outer cylinder have opposite negative and positive charges on their surfaces, respectively, due to their different triboelectric polarities and the amount of transferred opposite charges was saturated. The surface charge density of the outer cylinder was twice the surface charge density of the PFA film according to the law of charge conservation, because the contact area of the outer cylinder is two times smaller than that of PFA film. Under the short-circuit conditions, when the outer cylinder was placed on electrode A, the electrical potential difference between the two electrodes was positively maximized (i). When the outer cylinder slid and was placed between electrode A and B, the current flowed from electrode A to electrode B to compensate for the electrostatic induction and made the electrical potential of electrode A equal to that of electrode B (ii). Subsequently, when the outer cylinder reaches electrode B, the electrical potential difference between the two electrodes would be negatively maximized (iii). These stages would be repeated by reciprocating motion of cylinders. PFA film is known to have, not only the most negativity in triboelectric series (so that the largest amount of charges is generated by triboelectrification), but also abrasion resistance and mechanical durability [
13,
14,
15]. The novel triboelectric and mechanical properties of PFA allow for STEG to have a high output performance with a very long lifetime [
16,
17]. During reciprocating movement of the outer cylinder with a displacement of 50 mm and speed of 100 mm/s, STEG generated a maximum voltage and current of 100 V and 0.014 μA/cm
2, respectively, when the damping force was 0.6 kgf and the width of electrode A and B were 3 mm (
Figure 1b,c). Since STEG had a cylindrical shape and a frictional force against mechanical movement, it could take a role of a damper for the applied force as well as energy harvester. This point is very important because it means that STEG can harvest wasted energy without unnecessary energy consumption.
In order to optimize the output performance of STEG, we investigated the dependence of the output performance on geometrical parameters, such as electrode width. We fabricated several STEGs with different widths of copper electrodes (from 1 mm to 7 mm), but the same gap distance of 1 mm between adjacent electrodes. The output voltage and current were measured by sliding the outer cylinder of each STEG at 200 mm/s, with a damping force of 0.6 kgf and displacement of 50 mm, as shown in
Figure 2a. Output voltage and current increased as the electrode width increases from 1 mm to 3 mm, showing a maximum value of 131.9 V and 0.060 μA/cm
2 in root mean square (RMS) value, respectively. However, output voltage and current decreased as the electrode width increased over 3 mm.
The dependence of the output performance on the electrode width in the experimental results was verified using numerical simulations with the same geometric modeling as the experiment. Each electrode, of which the electrode widths were 1, 3, 5, and 7 mm was periodically arrayed and terminated as alternating electrode A and B. The gap distance between neighboring electrodes was 1 mm, and between the moving object and bottom electrode was 25 μm. Experimentally, there was PFA film between the top and bottom electrodes, and triboelectric charges existed on the top surface of the PFA film; however, for simplification, PFA film was not considered and the triboelectric charges (25 μC/m
2) existed on the bottom surface of the moving object. For calculating the electric voltage between electrodes A and B, while the top object was moving at 50 mm/s, the electrical circuit module was coupled. The resistance of the electrical circuit module was set to 100 GΩ for open-circuit conditions. RMS voltage values of devices with different electrode widths are compared in
Figure 2b. Corresponding to the experimental results, simulation results showed the highest voltage value when the electrode width was 3 mm. With a fixed gap distance between the electrodes (1 mm), the electrodes were more separated from neighboring electrodes as the width decreased. In the case of an electric field from the charged plane, the electric voltage was proportional to distance; thus, electric voltage increased as electrode width decreased. However, the electrode has finite area, so the edge effect should be considered. As the electrode width decreased, the edge effect became larger compared with the electric field from the charged plane; thus, the electric field became smaller [
18,
19]. Considering these two effects, 3 mm was the optimum width of the electrode for the highest output performance. The experimental raw data and simulation results related to structure-dependent electric field are illustrated in
Figure S2.
Theoretical study on the electric fields in the different geometries offer us an understanding of the reason why STEG could have high output characteristics. To compare the intensity of electric fields and the potential difference versus geometry of the free-standing mode TEG, a COMSOL simulation was conducted on the planar and cylindrical models with the same area and charge density (
Figure S3). When the planar model has the geometry infinity plane, the edge effect could be ignored. However, the edge effect is not negligible as there is a non-continuous adjacent charge at the edge of the plane [
20]. This characteristic of the planar model induced decreases in the electric field and potential difference (
Figure S3a). On the other hand, in the case of a cylindrical model, the edge effect was negligible because the electric field was distributed radially so that they had higher potential differences with the same area and charge density (
Figure S3b). A cross-sectional profile of the electrical potential along the surface is compared in
Figure S3c. The cylindrical charged surface exhibits larger potential than the planar charged surface and the difference is 100 V or more.
In addition, we determined that each STEG with electrode widths of 1, 3, 5, and 7 mm had different optimum resistances of 44 MΩ, 66 MΩ, 220 MΩ, and 330 MΩ, respectively, as depicted in
Figure 2c. As a result, the STEG with an electrode width of 3 mm could generate 4.90 μW/cm
2 at 66 MΩ. Electrical impedance of the capacitor was inversely proportional to the frequency and capacitance [
12,
21]. As the electrode width increased, it takes more time for a contacting part of the outer cylinder to move from electrode A to B; as such, the frequency decreased at the same speed when the effective gap between neighboring electrodes increased. Therefore, the optimum electric impedance of STEG increased as a function of electrode width.
3.2. Evaluation of Output Performance depending on Mechanical Input Parameters
Faster speeds of reciprocating movements induced higher output performances because of the short-period of electrostatic induction. The output measurements according to changes in the speed were conducted for STEG, which has a damping force of 0.6 kgf when the displacement is 50 mm and the electrode width is 3 mm (
Figure 3a,b). As a result, we found that the maximum short-circuit current and output voltage of 0.060 μA/cm
2 and 131.9 V, respectively, in RMS values could be acquired under a speed of 200 mm/s (
Figure 3c). According to reference, which dealt with energy regenerative suspension, the RMS speed of the shock absorber and the speed of a vehicle have a proportional relationship. Through the conversion operation from the speed of the shock absorber to that of a vehicle, the expected short-circuit current in average city driving (32.2 km/h) is about 0.053 µA/cm
2 in RMS value. Although the frictional force is one of the notable factors that has a great influence on the output performance of TEGs, experimental and theoretical studies have not been reported in detail. There have been several reports dealing with changes of output performance in contact mode TEGs depending on increase of applied pushing force [
8,
22], but the effect of frictional force on sliding mode TEGs has not been investigated because the structural design needed to control and maintain normal force is complex and too strong a frictional force can cause mechanical damage or a reduction in output power due to the disturbance of the movement. However, the cylindrical structure of STEG enables easy control of the frictional force by attaching a polymer elastomer, such as PE foam tape, between the outer surface of the inner cylinder and the flexible PCB layer, as described in
Figure 4a. Without PE foam tape, the diameters of the inner and outer cylinders are matched (inner cylinder diameter is slightly smaller than that of outer cylinder), so additional PE foam tape increases the normal and frictional forces according to its thickness. The α is supposed to be the thickness of additional PE foam, and the frictional force increased to 0.5, 0.6, and 0.9 kgf as α was adjusted to 0.08, 0.18, and 0.38 mm, respectively. The output voltage, short-circuit current and frictional force were measured while sliding outer cylinder at a speed of 140 mm/s with a displacement of 50 mm. The output voltage and short-circuit current (RMS value) as a function of frictional force is shown in
Figure 4b, and the maximum output voltage and short-circuit current were 137.9 V and 0.057 µA/cm
2, respectively (RMS), with saturating behavior. Experimental raw data related to this issue are illustrated in
Figure S4.
Due to the elasticity of PE foam tape, it pushes upper flexible PCB and PFA layers to the outer cylinder, which increases the contact area between them, as well as the frictional force.
Figure 4c shows a cross-sectional image of the interface between the outer cylinder and the PE foam tape covered by PFA and flexible PCB. The contact area became larger as the thickness of the PE foam tape increased. Triboelectric charges are generated by contact and sliding between the two surfaces. In other words, a larger contact area can generate more triboelectric charges and then output power can be enhanced. However, because the increase in effective area by the applied normal force has certain limitation, the output power vs. frictional force curve has a saturating behavior (
Figure 4b). Moreover, too large normal force and frictional force can induce the tearing of the PFA film or disrupt the reliable operation of the suspension. Therefore, we have to choose an optimum frictional force to achieve both high performance and sustainable operation. If the STEG is applied to the suspension system of the vehicle, we can expect much higher output performance because of the damping force of tons’ scale and larger size of shock absorber. Considering these expectations, we can observe the feasibility of STEG as a practical energy source for sensors in ADAS technology. Further study should be conducted considering the decay of output performances under high temperature conditions and when facing abrasion problems.
Based on the results of evaluations, a durability test was conducted and we succeeded in charging the capacitors (
Figure 5a,b). STEG maintained a stable output performance for 11,000 cycles, even with a damping force of 0.6 kgf, speed of 140 mm/s and a displacement of 50 mm. Inset figures are the short-circuit current peaks at the beginning (red box) and end of the durability test. During the test, the amplitude of the current peaks was maintained at 9.2–9.5 μA. (
Figure 5a) Signs of abrasion on the PFA surfaces were not observed because of its abrasion resistance (
Figure 5c,d). We also succeeded in charging a capacitor of 330 μF capacitance up to 3 V in 6 minutes at a speed of 200 mm/s, a damping force of 0.6 kgf, and a displacement of 50 mm to charge the capacitor. (
Figure 5b). These results mean that the stable and high output characteristics of STEG, not only do not reduce the reliability of existing vehicle suspensions that require a long life, but also show the possibility of efficiently harvesting mechanical energy, which is wasted by the vibration of a vehicle.