It should be noted here that if the amount of power generation is not calculated according to the above procedure, the energy applied at the initial stage will be included in the calculation, resulting in an erroneous result 
. There have been several cases of papers calculating the power generation not following the correct procedure recently, but it is not possible to determine the correct amount of power generation unless the added energy and the generated energy are clearly separated.
summarizes the sites where the DEGs can be installed and shows each conceptual diagram of the generation systems 
. They are (a) wind power generators on the roofs of buildings, (b) water mill generators, (c) waste energy generators, (d) drain generators, (e) road power generation system using a DE sheet, (f) wind power generators, (g) solar heat generators, (h) wave generators near the shore, (i) water flow generators, (j) wave generators in the ocean, (k) hydrogen production plant, (l) a tanker carrying hydrogen, and (m) road power generation.
Except for (k) and (l), they are specifically power generation limited to local consumption. In order to achieve zero carbon dioxide emissions in 2050 
, large-scale offshore wave power generation (k) is indispensable, and the best scenario is to convert the power obtained there into hydrogen and transport it to land 
3.1. Buoy Power Generation Loaded with Dielectric Elastomer Generator
A DE buoy generator has been developed and was tested for the first time in the world in a tank 1.4 m wide, 1.7 m high (water depth 0.5 m) and 20 m long 
. shows this DE wave power generation system. This generator showed exciting potential. Using only an about 40 g DE, we generated more than 5 J/stroke at 0.3 Hz. Light-emitting diode (LED) lights for navigation buoys were able to be flashed continuously, using the electricity generated. The DE polymer used in the experiment was acrylic #a (see ), and the electrode was made in carbon black as shown in of Section 4.2
. “Electrode Material used for Dielectric Elastomers”.
Figure 9. The world’s first DE wave power generation system: (a) The beat plate was moved by waves, the movement was transmitted to the sheet-type DE installed on the side of the tank, and the force was used to expand and contract the DE to generate electricity; (b) The photo on the right is a beat-type floating body.
The world’s first buoy power generation experiment using waves in the real sea was conducted in August 2007 in Tampa Bay, Florida, USA 
. shows a buoy power generator system equipped with DEGs. The DE used in this experiment weighed 150 g 
. The material of the film used was acrylic #a (see ). The electrode was made in carbon black as shown in .
Figure 10. Buoy power generator system equipped with DEGs: (a) Name of each part of the wave generator buoy; (b) A photo of a generator buoy that actually floated in the sea.
The maximum measured electrical output capacity, verified in laboratory tests, was 12J per generator stroke. Unfortunately, the wave height in that area during the experiment was only a few centimeters, and it was very difficult to test the wave power generator. Therefore, there was no choice but to use a motor boat to generate waves with a height of 10 cm. At a bias voltage of 2000 V, a peak energy of 3.6 J at a wave height of 10 cm was able to be generated. In this system, a 62 kg weight was attached to the bottom of the buoy, the weight was raised and lowered by the movement of the waves, and the force was used to expand and contract the DE to generate electricity. However, due to its heavy inertia, small waves did not generate much power. In December 2008, another ocean test was conducted in California, USA, confirming that the generated electrical energy was always stored in the battery 
Based on the above results, a method to fix the buoy to the seabed with a mooring wire was developed, so that even small waves could generate electricity. In other words, the DEG was tied to a mooring rope and the other end of the rope was fixed to the seabed, so when a wave hits the buoy, the buoy moved upward on the wave. However, since the DEG was fixed with a rope, the DEG was deformed and power was generated. In 2010, an actual sea trial was conducted along the coast of the Izu Peninsula in Shizuoka Prefecture, Japan using this fixed type 
. The shape of the DEG used in this experiment was a drape type (diameter 260 mm, height 120 mm, weight 4.6 g), the electrode material was carbon black (see ), and the elastomer was acrylic #a (see ). A schematic diagram of the DEG is shown in .
Figure 11. Drape type DE generator: The amount of the DE used is 4.6 g: (a) Relaxed states; (b) Stretched state.
The purpose of this experiment was achieved brilliantly by demonstrating that even a small wave equivalent to a wave of several centimeters can generate electricity. However, the system did not have a built-in structure to maintain constant tension as the tide level changed.
To solve the problem above, the power generation system developed in the summer of 2011 was moored on an underwater horizontal plate with some degree of redundancy to accommodate changing tide levels (see ) 
. This principle focused on the difference in buoyancy between the buoy and the plate. That is, when a wave hits the buoy and the plate, the buoyancy of the buoy is lighter, so the buoy starts to move vertically first and, as a result, the distance between the buoy and the plate becomes longer. Thus, the DEG is deformed, and power generation occurs. By adopting this mooring method, it would be possible to automatically generate electricity for a long time regardless of changes in the tide level. As a result, even if it is deep, it no longer needs to be fixed to the seabed. Even in deep water, power can be generated by mooring it on floating bodies such as super-large ships and super-mega floats floating in the ocean (see ) 
. Considering practical applications, cost reduction and the pursuit of convenience are indispensable, and miniaturization of the power generation system is also an important issue. In this wave power generation system, the power generation control circuit can be miniaturized and integrated with the DE power generation unit to eliminate the storage space provided under the buoy. As a result, the size and weight have been reduced by about one-third (see ).
Figure 12. Buoy power generation system with plate.
Figure 13. Image diagram of the power generation system installed in the ocean: (300 MW/H can be obtained with a system with a width of 40 m and a length of 600 m). One could arrange a large number of these to make a super megawatt power generation system.
Figure 14. Wave generator with miniaturized circuit, etc.: (a) The generator buoy actually floating in the sea; (b) Name of each part of the buoy.
In the above experiment, not only vertical movement due to DE waves but also horizontal movement due to tidal currents were observed 
. There were two reasons; (1) it was connected to a longer mooring wire and (2) because the buoy was moved horizontally by the waves. As a result, the mooring wire was tensioned, and the DEG was deformed. shows the movement of the buoy in response to the waves. By combining these two movements well, it is thought that power can be generated more efficiently.
Figure 15. Motion of the body influenced by waves: (a) vertical motion of the buoy; (b) horizontal motion of the buoy.
3.2. Usefulness of Dielectric Elastomer Wave Power Generation
Whereas traditional wave generators tend to differ slightly from the optimal natural cycle and significantly reduce power generation efficiency, DE-based generators produce stable power from the short to long term. In 2013, we conducted a basic experiment using a two-dimensional wave power tank and demonstrated for the first time in the world that DEG is an innovative wave power generation system capable of generating power over a wide range of frequencies 
. A wave tank with a length of 30 m, width of 0.6 m and a depth of 1.5 m was used, as shown in . The water depth was 0.6 m. The film used for the DE was acrylic #a (see ). The electrode was made from carbon black as shown in . The floating body used for the experiment was made of urethane foam with a size of 59 cm × 30 cm × 10 cm. This experiment showed that a DE generator can stably output about 70% of electrical energy on average from short to long cycles (see ) 
. This value is the power generated from the DE divided by the wave divided by the maximum output value measured in the laboratory multiplied by 100.
Figure 16. Experimental set-up: The DEG was set between a mooring rope and the floating body. Details of the generator unit are shown schematically at the left while the photos at the right show the overall system set-up. The DE material was acrylic #a: (a) DEG unit; (b) Buoy with the DEG; (c) Wave-making tank and measurement system.
Figure 17. Generated energy as a function of wave period.
Anomalies occurred at the wave periods of 1.2 to 1.4 Hz. This was because the waves in the water tank passed through the floating body with the DE attached, hit the wall of the water tank on the opposite side, and bounced off, generating interference waves to generate electricity. It seems that the value temporarily increased or decreased.
, Vertechy 
et al. also experimented with incorporating DEGs into an oscillating water column wave energy converter, demonstrating the importance of DE power generation.
3.2.1. Buoy–Buoy Interaction
In order to build a super megawatt power generation system using buoys, it is necessary to arrange many buoys as shown in . Therefore, we need to know what happens in the interaction between buoys. First, in a two-dimensional water tank, three-buoys were lined up in a row in the same direction as the waves traveled, and tested to observe how the waves interfered with them (see ) 
. The test tank used for the experiment had a total length of 15 m, a width of 1 m, and a water depth of 1.4 m, and the experimental float was moored near the center. A rectangular parallelepiped urethane (990 mm × 250 mm × 80 mm) was used as a floating body, which was fitted with points for observing movement. The floating motion was measured by tracking the points with a CCD camera and measuring the amount of movement. The floating body moves with three degrees of freedom in heave, surge and pitch by guides set at the four corners for restricting the motion. The mooring wire is connected to the ring gauge via a pulley installed below the floating body, making it possible to measure the tension acting on the mooring wire. In addition, a wave height meter (needle-type servo wave height meter) was installed between the floating body, the wave generator, and the wave-dissipating plate to measure the height of the waves entering the floating body and the waves passing through the floating body.
Figure 18. A test system to investigate how the waves interfere with each of the three buoys.
In the range where the wave period is smaller than about 0.6 s, most of the wave is deflected by the collision with the first floating body. As a result, it does not reach the floating body behind it and the influence on the multiple floating bodies becomes very small. When the wave period is around 0.8 s, the influence of multiple floating bodies becomes large, and an increase in surge and pitch, and a decrease in mooring tension are particularly noticeable with the floating body which first collides with the wave. At that time, although the influence of the spacing of the floating bodies at different intervals is small, the influence becomes large as the number of floating bodies increases. For a wave period of around 1.0 s, it was revealed that if the interval of the floating bodies is narrow, the surge and the pitch of the floating body which first collides with the wave increases. Therefore, if the interval is wide, it would increase the mooring tension.
The above experimental data were numerically modeled, simulated and compared with the physical wave tank test 
. The conditions analyzed are a single body A, double bodies (A and B) at different intervals, and a case with triple bodies (A, B and C). It was assumed that the bodies were arranged in the order of A, B and C. Results found in this simulation are summarized below:
The calculated motion (surge, heave, pitch), mooring tension, and power generation efficiency were in good agreement with the experimental measurements.
In the case where double bodies are placed next to each other: when the wave frequency is high, the associated response amplitude operators (RAO) of surge, heave, and tension are small, but the RAO of pitch motion is large. That is, the RAO of body B is smaller than the RAO of body A, and it can be seen that the movement and mooring tension of body B are weakened by the presence of the body A. Due to the presence of the body, the wave is diffracted and a part of the wave energy is converted to electrical energy using the power-take-off system.
The efficiency of floating body A reduces at the low wave frequencies, but increases at high wave frequencies when the interval is increased from 0.5 m to 1 m from the case above. On the other hand, there was no significant difference in the efficiency of floating body B. It seems that the effects of the diffracted waves from body B on body A are more pronounced than the other way around. Apart from the reason that the floating body A with a DE extracts some of the wave energy, the results might show differences within the results of a 3D experimental work or high-fidelity simulations.
The power generation efficiency was calculated for the wave frequency in the case where the triple bodies were arranged side by side. In general, the power generation efficiency of the first body (A) that encounters the incident waves first is largest; the associated efficiency of the second body (B) is somewhat less than that of the first body, and so on. This can also be interpreted as the DE attached to the floating body absorbing part of the wave energy. In a particular wave frequency range, all wave energy converters (OWSs) can reach relatively high efficiencies; about 0.9 Hz for this studied case. The reason for this is that lower wave frequencies naturally reduce buoy-to-buoy interaction.
3.2.2. System That Incorporates a Dielectric Elastomer into Oscillating Water Column Wave Energy Converter Buoys Is Arranged
OWCs are one of the most promising wave energy transducers 
. The efficiency of an OWC device peaks at the resonated wave period 
. However, the efficiency decreases significantly at other wave periods. There are two possible ways to increase the power generation efficiency of the OWS:
By arranging the DEG around the OWC, it is possible to handle waves with a period that OWSs are not good at. This is because, as discussed above, the wave period in which the DEGs can generate is very wide.
A DEG is placed in place of the compressor and electromagnetic motor used in the OWC, and the air compressed by the waves deforms the DE to generate electricity: using this idea, some testing has been done by incorporating DEGs into OWCs 
Idea 2 above has promise, but there might be some problem with the DE used. From Equations (1) and (3) discussed above, the points are the thickness of the DE and the magnitude of the voltage applied to it. Looking at the experimental cases, the voltage applied is too small, around 1000 V, even though the film thickness is rather thick. Therefore, even if a low voltage is applied while the film is not sufficiently deformed, power generation might be unlikely to occur.
In order to realize super mega power generation using larger waves, a power generation system with many buoy-type OWCs was proposed 
. This method does not use a copper or electromagnetic motor, which is expensive. In addition, due to the high generation efficiency, the power generation cost is expected to be around 5 US cents/kW 
. This is almost the same as thermal power generation using heavy oil or coal. Currently, as the first step to realize such large-scale offshore power generation, we are simulating a case of 3 vertical × 3 horizontal.
3.2.3. Production of Hydrogen
How to bring the electricity generated at sea to one’s country is a big problem. In our method, the generated electricity is electrolyzed using seawater to make hydrogen. A hydrogen generator was placed beside the above buoy power generation system, and hydrogen was produced using the power generated by the DEG 
. Hydrogen can be a convenient medium, but the problem is its production cost. However, in wave power it’s free. shows the hydrogen generation equipment using electrolysis. In the very near future, electricity generated at a megawatt DE power plant built in the ocean will be converted to hydrogen and brought to Japan and other countries by tankers 
, as shown in . Countries receiving hydrogen can use it as fuel for cars and planes, or to generate electricity using hydrogen again.
Figure 19. The hydrogen generation equipment using electrolysis: (a) DEG and hydrogen generation buoy; (b) Fuel cell and electrolysis.
3.2.4. Combination of a Piezoelectric Power Generation System and Dielectric Elastomer Generator
DEs require an initial charge before they can start generating electricity. In addition, DEs require high direct current (DC) voltage. Therefore, we considered a self-excited DEG circuit using a piezoelectric element 
. Piezo has the advantage of generating electricity even with slight vibrations without an initial charge.
Therefore, in the circuit we are proposing, the piezoelectric element vibrates to generate a voltage, and the generated voltage is boosted to a high voltage value by the Cockcroft–Walton circuit to charge the DE. The high voltage generated by the DE causes the ringing choke converter circuit to step down the generated voltage to a predetermined value and charge the secondary battery.
However, the problem is that the piezo output is too small. The simulation seems to work, but in reality, it is necessary to reduce the loss of the components that make up this circuit as much as possible, and further studies are required.
In wave power, there is always physical movement, and this coupling system is less powerful, but is ideal for slow-moving cases and occasionally moving slow cases.