Ocean Surface Wave Energy Harnessing Development at Stevens Institute of Technology (SIT)

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Ocean Surface Wave Energy Harnessing Development at Stevens Institute of Technology (SIT) M. Raftery R. Stolkin michael.raftery@stevens.edu RStolkin@stevens.edu Center for Maritime Systems Stevens Institute of Technology Hoboken, NJ 07030, USA Abstract- This paper presents a system designed to harness ocean surface wave energy to generate electricity. Due to the catastrophic failures in the wave energy industry, such as the Wavegen Osprey in 1995, survivability and resilience are the highest priorities in design criteria for our research. If catastrophic failures continue in the wave energy industry, research and development funding will become more difficult to obtain. By using our patented, integrated cable reel harnessing and anchoring system, our system can be anchored in waters deep enough to eliminate the risk of system failure due to storms or large waves. Ocean surface waves make up the largest portion of the total ocean energy spectrum. Utilizing this vast resource effectively involves placing devices and systems in the high energy wave regions of the planet. Existing systems with hydraulic pistons, oscillating water columns, or linear magnets have limited stroke which prevent them from harnessing the highest energy waves that will be available. Our cable reel system will allow us to harness the largest waves available on the planet. The anchoring system will also allow for autonomous control of the Wave Energy Harnessing Device (WEHD) location in the water column. The WEHD includes a water-tight housing that holds all the electricity generating equipment that will be positioned in the water column depending on the real-time wave climate. The WEHD is tethered to a buoy, or other floating object, on the surface. The lift force on the buoy from the passing waves is transferred to the cable on the reel and then to the WEHD by a shaft fixed to the center of the reel. The design approach, highlights, and projected full-scale implementation are presented in this paper. I. INTRODUCTION Our research is focused on the development of a device to harness ocean surface waves to generate electricity. The wave energy harnessing device (WEHD) consists of an electric generator in a water tight housing, anchored to the sea floor, driven by a rotating cable reel connected to a surface buoy. As waves move the buoy up and down, the cable extends and retracts, rotating the reel and thus the input shaft to the generator (Fig. 1). Fig. 1 Conceptual wave energy harnessing device (WEHD)

The buoy and cable reel device offers significant advantages over existing wave energy designs. The buoy cable extends or retracts to adapt to waves of different heights. The device can safely survive and operate in more extreme wave climates than existing systems because the machinery is protected on the sea floor. In extreme storms, the buoy can be safely reeled in and stored under the surface of the water if necessary, but we plan for the device to be fully operational in hurricane seas. By adjusting the length of the cable and the level at which the buoy is submerged, it will be possible to adjust the damping effect of the device on the waves themselves and so offers the additional potential for shoreline and harbor protection. The device is also mechanically simple, scalable, modular, mobile, and need not be visible from shore. Scale model testing had led us to choose specific directions for full scale development and implementation. Similar to the approach in the wind industry, systems will be designed for optimal performance in the chosen wave climate for installation. Due to the different wave climates, a system near the east coast of the US will consist of smaller buoys and WEHD housings than a system near the west coast of the US. The wave climate dictates what torque and rotation speeds will be available for our system; therefore, the wave climate dictates the size and configuration of the components. Fortunately, wave climates are consistent over large areas, so only two or three different systems should be able to operate in all of the wave climates on Earth. Any system we deploy will be capable of affecting the waves passing thorough the wave farm. During periods of long swells with low wave heights, we will raise our housings near the ocean surface effectively converting those waves to higher waves with shorter periods due to a topographic shoaling effect from the housing. This wave form conversion is beneficial to the efficiency of the overall system. The energy available to the generator increases with wave height and input frequency. Simple control loops including the input torque, shaft rotation speed, and electrical load will be setup for each system to maximize electricity production. II. BACKGROUND AND PROBLEM DEFINITION A. Quantifying wave energy Knowing how much energy is available from a given area of sea surface is critical to the design of any wave energy harnessing system. It is obvious that large waves have more power than small waves, but the amount of energy must be quantified to begin designing a device. Water particles in waves impart energy into any object floating on the water surface. In our case, the water particles impart energy into a buoy causing the buoy to rise from the trough to the crest of a wave. The buoy imparts energy into a cable wrapped around a cable reel. As the buoy travels from the trough to the crest of a wave, the cable reel applies torque to a shaft coupled to the cable reel. If the torque is large enough, the shaft will be accelerated and drive a gear system, flywheel, and generator to produce electricity. If the wave height is too small, the reel will turn very little, or not at all, and no electricity will be produced. Either way, a hydraulic or mechanical spring-rewind will reel in any cable that pays out as the buoy travels from the crest to the trough of the wave. The amount of energy available in a given wave can be expressed in terms of energy density or energy flux, E, see [1]. The metric system (SI) is used throughout this paper, and energy density units are Joules per meter squared. ρgh E = 8 ρ = Density of seawater (approximately 1025 kg/m 3 ) g = Acceleration due to gravity (9.8 m/s 2 ) H = Wave height (m) 2 Note that the energy density is given in energy per unit area. The unit area corresponds to area of sea surface; therefore, the amount of energy that can be extracted from a wave is dependent on the area of buoy on the sea surface and the wave height. Wavelength does not appear directly in the energy density equation, but it does determine the input frequency to our device and limits the size of the buoy we can use. Consider the example of a deep water wave where the water depth is greater than one-half the wavelength [2]. If

the waves are 0.25 meters high at 1 second period, the wavelength is only 1.56 meters, and a buoy larger than 0.78 meters in diameter will begin to span the up and down slopes of the wave, and vertical displacement will decrease rapidly as the buoy size nears the wavelength. Let s now consider the best places on Earth to harness ocean surface waves. Fortunately for the people of this planet, the collective energy available in the planet s ocean surface waves is more than enough to power all human energy consumption for the foreseeable future. It has been estimated that if just 0.1 percent of the global ocean energy resource were harnessed, scientists could power the whole world five times over [3]. The challenge is to harness that energy and deliver it in a safe and cost effective way. Ocean surface waves (wind and gravity waves, Fig. 2) constitute more than 50 percent of the global ocean energy resource [2]; therefore, 0.2 percent of ocean surface waves could power the whole world five times over. Fig. 2. Most of the global ocean energy resource is contained within wind and gravity ocean waves which this project aims to harness. The surface area of world s oceans is approximately 350 million square kilometers (km). Hence, if wave energy was harvested at only 20% efficiency, the world could be powered by, for example, a 400 by 400 km square wave farm near Alaska, the United Kingdom, Chile, or Australia. Equivalently, four wave farms of 200 by 200 km square in each of these locations could power the world. Harnessing ocean wave energy near Alaska, California, Oregon, Washington, Maine, Connecticut, Massachusetts, New York and New Jersey could power the entire continent of North America (Fig. 3) [4]. Fig. 3. Global wave power levels B. Engineering Challenges There are other numbers, dealing with wave energy, that bring challenges to designers and engineers. For example, a device anchored in 30 meters of water with 15-second-period, 10-meter-high waves passing overhead can experience oscillating bottom currents near 2 meters per second due to the wave motion on the surface [1]. Integrating the anchor reels into the power generation system will allow us to harness and convert this kind of loading on the housing into electricity. The swaying motion of the housing will cause two reels to pay out while the other two reels, on the other side, will be reeling in cable. Since the anchor reels will alternately pay out and reel in cable, allowing the device to convert that energy to electricity, the

loading on the anchors will be less than their holding capacity. If testing determines this method of managing bottom motion does not work, the anchors will have to be set in deeper water to avoid loading which will increase the costs of manufacturing and deployment. III. PURPOSE, OBJECTIVE, AND SCOPE OF WORK The purpose of our research is to develop a device that harnesses ocean surface waves to generate electricity. Our objective is to use lessons learned from testing of the WEHD scale models to build a durable and efficient full-scale prototype for the marine environment. Our current scope of work is to provide a proof-of-concept, scale-model device that can achieve 50W RMS power output with waves over 10 inches (0.25 meters) high and 3.5-second (or shorter) periods during wave tank testing. Using dimensionless scaling [5], we estimate that a full size prototype, 8 times larger than a 50W scale model, will equate to over 72kW RMS power output per unit in ocean wave heights of 80 inches (6.7 feet or 2 meters) with periods ranging from 10 to 20 seconds. The waves off California, Oregon, and Washington have average wave heights of approximately 2 meters and periods of approximately 12 seconds on an annual basis. Power output for a 72kW unit would exceed 450kW in waves over 5 meters high over the same range of periods. Long-term energy storage options for extended periods (3 hrs+) of large waves (5m+) include high-speed flywheels, super capacitors, and hydrogen gas production from electrolysis. This presents one of the most difficult challenges in attempting to harness ocean wave energy efficiently. It is fairly common (once per year or more) for ocean wave energy flux to increase to more than 20 times the annual average due to local or regional storms. Extreme storms are even more difficult to harness. For example, on December 11, 1992 at 1900GMT, a significant wave height off New Jersey was recorded at 9.9 meters by NDBC buoy 44004 [6]. The average wave height in that region is approximately 1 meter. That equates to almost a 100 fold increase in energy flux. IV. RESULTS, AND FINDINGS A. Results Previous work has developed a scale model WEHD device and a comprehensive instrumentation test bed for wave energy research in wave tanks. Fig. 4 and Fig. 5 show the mechanical components of the WEHD. In these figures, energy is transferred from left to right. As a wave passes over the device, the buoy rises and pulls up on the cable (Fig. 6), thus rotating the spring-reel and drive shaft. The drive shaft engages the 1st clutch turning the input shaft to the gearbox. The gearbox amplifies drive shaft speed, to turn the 2nd clutch 25 times faster than the 1st clutch. The 2nd clutch turns the shaft for the flywheels. The flywheel shaft is connected to the alternator (direct current electrical generator), so the alternator turns with the flywheels, generating electricity. As the buoy passes over the wave crest and begins to descend, the springreel rewinds the cable and the drive shaft free spins in the 1st clutch, disengaging from the gearbox. While the cable is rewinding, the 2 nd clutch also decouples the flywheel shaft from the gearbox, allowing the energy stored in the flywheels (during the buoy s up stroke) to continue turning the alternator during the down stroke. Note that energy can only be input to the system while the buoy is traveling upwards, during the up stroke half of the wave cycle. During the up stroke, energy is stored in the flywheels as kinetic energy. This energy is released during the buoy down stroke, ensuring that the alternator continuously generates electricity throughout the whole wave cycle. Cable (to buoy) Spring reel 1st clutch 25:1 gearbox 2nd clutch Flywheels Alternator Drive shaft Flywheel shaft Fig. 4. Scale Model Wave Energy Harnessing Device (WEHD)

Fig. 5. WEHD with watertight pressure housing prepared for wave tank testing Fig. 6. The buoy pulls on the cable which turns the reel and input shaft. We wish to develop the device using commercially available off-the-shelf components as far as possible. This will reduce the costs of development, assembly, and maintenance, improve scalability, and reduce the time to market. A key engineering design problem is how to convert a low-frequency, sinusoidal motion, into steady, high frequency rotational motion to generate electricity. The wind energy industry was the first place we looked for solutions, and we chose a specific permanent magnet alternator (PMA) because it is more efficient at producing electricity at lower rotational speeds than conventional alternators. The selected PMA was bench-tested by mounting it on a machine shop lathe. The PMA was driven at a range of speeds and with a range of resistive loads to determine ideal speed and load ranges to deliver the desired quantity of electrical power. The other components in the WEHD were then selected and designed in order to match the expected input from the waves in the wave tank to the PMA torque and speed requirements determined during the bench testing. The WEHD prototype was then assembled in the machine shop at SIT. A water-tight housing was built for the WEHD, and anchoring hardware attached to the frame of the WEHD. Note that we have not yet incorporated the anchor reels into testing due to budget constraints. We will continue to bolt the scale model WEHD to the floor of the wave tank until funding is available for the anchor reels.

In addition to a scale model device, a WEHD test-bed apparatus has been developed, consisting of a comprehensive range of sensors interfaced to a PC and software for automated data logging (Fig. 7). This instrumentation enables automatic recording throughout wave tank experiments of wave motion, buoy motion, drive shaft speed, flywheel and alternator shaft speed, and the electrical current and voltage output by the device. Additionally, two temperature sensors are mounted on the alternator to check for overheating. All sensors are input to specially designed software which automatically stores and timestamps the data as well as plotting data as a series of graphs. This comprehensive instrumentation test bed enables a large number of experiments to be attempted to discover optimal values of key parameters such as gear ratio, flywheel inertia, resistive load, and buoy geometry, in various wave conditions. Load Wave wire signal conditioner Data acquisition board WEHD internal sensor outputs Switches control load resistance PC running Labview Power supply for WEHD sensors Fig. 7. Electrical system showing the alternator s resistive load and the data acquisition electronics The first series of wave tank experiments produced an unforeseen consequence of the enlargement of the SIT wave tank that was completed in December 2006. The hydraulic wave maker was not making waves that corresponded to the wave parameters entered in the software. Testing showed that the wave maker produces waves approximately 60 percent of the entered wave height. For example, when a 10-inch, 2- second wave was entered into the software, the wave maker would produce 6-inch, 2-second waves. Despite this setback, we have already managed some preliminary tank testing and will be able to complete a comprehensive series of tank tests and modifications of this design over the next few months. Initial tests have already yielded invaluable information and lessons and have also served to demonstrate the successful design and functionality of the instrumentation and data logging test bed. Fig. 8 (next page) shows an example of data recorded during an experiment with the WEHD in the SIT wave tank. The graphs show the WEHD performance in 20cm (8-inch) waves, initially with no electrical load. As a 20 Ohm resistive load is connected across the alternator (this instant is indicated by the red dotted lines), current begins to flow and power is generated. Simultaneously, the effects of this load on the device dynamics can be observed. The buoy begins to ride lower in the water and the flywheel and alternator shaft speed decreases. During our first test runs on 17 March 2007 (Fig. 8 test date), the SIT wave tank was only capable of generating 20cm (8-inch) waves when the maximum wave height for the test matrix (30cm or 12 inches) was entered into the software. We later tested the wave tank performance by entering the maximum wave height values the software would accept and running the wave maker. We were able to produce waves approximately 25cm (10 inches) high when we entered 18 inches (46cm) for wave height into the software. The first test runs in the wave tank, with the first iteration WEHD prototype in 20cm (8-inch) waves produced approximately 2W RMS with 7W peak power output. We noted that the 25:1 gearbox produced a very large dead band in our system, so we replaced the gearbox with a straight shaft to determine the shaft speed that would be produced if there were no speed increaser in the system. After this modification, we retested the scale model on 19 May 2007, and observed 110 rpm drive shaft rotation

speed, with 5W RMS and peaks of over 12W into a 20 Ohm load, in 25cm waves without a speed increaser. Our objective is still to achieve at least 50W RMS with this prototype, and we are confident we will improve performance again after adding our new speed increaser with a 7:1 gear ratio that inputs to the flywheel shaft during the lift and rewind strokes. The information from the third test matrix will provide more information, and the design can be optimized through successive iterations of testing and modification. Wave wire data - 8in 2.25s waves in the wave tank Output voltage- decreases as load is applied Heave wire (buoy motion) data increased wire paid out indicates buoy being pulled down when load is applied Output current - increases as load is applied Flywheel RPM data slows as load is applied Output power as load is applied Fig. 8. Data output by the instrumentation and data-logging system during the first test matrix in 8in waves in the SIT wave tank. The red dotted line indicates the instant at which a 20 Ohm resistor is connected across the alternator terminals B. Findings Buoy motion during the first test matrix was very different from the orbital wave motion (nearly free body) expected. Rather than moving up and down with the wave peak, the buoy switched rapidly between positions in wave troughs to either side of the wave peak, (Fig. 9 next page). Parabolic buoy motion results in very little cable being unwound from the reel as each wave passes, and thus very little drive shaft rotation. Also, this motion results in very little of the buoy being submerged (Fig. 10 next page). Unless the buoy partially submerges and displaces water volume, it is unable to cause lift force (up thrust). This motion was determined to be a result of the large amount of inertia in the system due to the 25:1 gearbox. During the second test, the buoy motion was very near a free body motion resulting in more cable pay out

per wave period. The speed of the flywheel and alternator were nearly double the values estimated using cable reel diameter to wave condition ratios. These higher rpm values are attributed to peak accelerations. Fig. 9. Parabolic buoy oscillation caused very little cable extension, so does little work Fig. 10. WEHD buoy moving in 20cm waves during the first test matrix on 17 March 2007. The side-toside oscillation mode means that the buoy displaces little water and provides little up thrust, and hence low input shaft torques Buoy geometry was considered for the inefficient buoy motion in the first test, but this was not the case as the second test confirmed. The initial buoy design with wide, flat sheets on the top and bottom, provide a large surface area for lift. The buoy may still have a tendency to slide off the waves if dead band is too large. The buoy will follow the path of least resistance and may avoid vertical motion by partially submerging one edge then the other edge of the sheet (pitching) if dead band is too large. It is proposed to try other buoy geometries to achieve the same volume of float, but with a tall thin shapes, rather than the existing wide, flat shape. This may result in more efficient buoy motion and thus significantly greater power output. This modification will be simple and inexpensive. Gearbox design is considered to blame for both the low power output and the unusual buoy motion in the first test. The high gear ratio (25:1) and high frictional resistance of this inexpensive gearbox meant that the small 8-inch waves were not sufficient to drive the system, which is effectively stalling. Driving this gearbox with the small 8-inch waves was analogous to trying to start a stick-shift car from rest while in 5 th gear. We removed the gearbox from the system for the second test and designed another speed increaser based on that data. Conventional gearboxes alone do not appear suitable for this application, as the system needs either one for one wave rectification, a variable speed transmission, or both. V. DISCUSSION, CONCLUSIONS, RECOMMENDATIONS We are nearing completion of our second set of modifications to the WEHD. Once the modifications to the speed increaser and resistive load are completed, we will schedule the next available date for testing in the SIT wave tank. Unlike the 25:1 gearbox, the new speed increaser turns easily by hand and inputs to the flywheel shaft on both the pay out and rewind portions of the cable reel motion. The resistive load is now infinitely variable over a 50-Ohm range after installation of a rheostat type resistor. If the testing takes place before 29 Sep 2007, we will present results to the detail that time allows. References [1] Kamphuis, W. J., Introduction to Coastal Engineering Management, Volume 16, World Scientific Publishing, 2000. [2] Thurman, H. V., Introductory Oceanography, sixth edition, Macmillan, 1991. [3] Merry, S., Marine Renewable Energy: a Solution to Climate Change. Sea Technology, April, 2005. [4] http://www.energysustained.com/energy_resources.htm [5] Raftery, M.W., Sheryll, R., Yen, T., Gopalakrishnan, G., Harnessing Ocean Surface Wave Energy Ocean Engineering 647, Advanced Hydrodynamics Lab #5, Stevens Institute of Technology, Fall 2004 [6] http://www.ndbc.noaa.gov/view_text_file.php?filename=44004h1992.txt.gz&dir=data/historical/ stdmet/