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Abstract There is a lot of energy that can be harvested from moving water. Energy can be extracted from water rushing over a waterfall and from the regular patterns of the ocean's tides. The energy that propels waves forward in the oceans can also be extracted and used. But can wave energy power plants be built anywhere there is water? In this energy science fair project, you will use ocean buoy data and mathematics to determine which locations along the coasts of the United States can sustain a wave energy power system.Objective To determine if any locations along the coasts of the United States are appropriate for building wave energy power systems. Introduction It’s a beautiful day and you’re walking along the beach, when an ocean wave hits the shore and almost pushes you over. Just like your high-energy friend who runs over to tag you as “it,” moving water also has energy. But from where does this energy in the form of ocean waves come? Waves are generated by disturbances, ranging from underground earthquakes to a boat moving through the water, but the wind is the most common source of waves. The wind causes ripples on the surface of the ocean, but the strength of the wind, the distance in which the wind blows, and the duration of the wind gust all determine how big the ripples will become. Waves are characterized by their wavelength and their height. Every kind of wave—whether it is a sound wave, a light wave, or an ocean wave—has a crest and a trough. The crest is the highest point of the wave and the trough is the lowest point of the wave. The wavelength is the distance between two consecutive wave crests. The height is the difference between the wave crest and the next wave trough. Another important characteristic of waves is the wave period. This is defined as the time between two consecutive crests (or troughs) as the crests (or troughs) pass a stationary point. Scientists gather data from the oceans—such as water temperature, wind speed, wind direction, wave height, and wave period—using ocean buoys, which are devices that float in the oceans.
As ocean waves move forward, you might think that the water is moving forward; however, this is not the case. The water actually moves in vertical circles and there is little forward motion of the individual water particles in a wave. A wave is just forward motion of energy or momentum. How can we capture the energy associated with the waves and convert it to something we can use, like electricity? According to the U.S. Department of Energy (U.S. DOE), at any given moment there is enough energy in the oceans' waves around the world to provide up to 2 trillion watts (W) of electricity! Since the oceans will always provide waves, wave energy is a renewable and sustainable form of energy. There are certain parts of the world that are especially rich in wave power. These include the western coasts of Scotland, Australia, South Africa and northern Canada. The northeastern and western coasts of the United States are also good locations to extract wave energy. The U.S. DOE separates wave energy power systems into two categories: onshore systems and offshore systems. Onshore wave energy power devices include oscillating water column, tapchan, and pendulor devices. In an oscillating water column, a partially submerged structure has an opening below the waterline to the ocean. It encloses a column of air on top of a column of water. As the column of water rises, due to incoming waves, the column of air is compressed and is forced past a turbine. This causes the turbine to rotate and generate electricity. When the wave recedes, the column of air is depressurized and air rushes past the turbine in the other direction. This causes the turbine to rotate again and generate more electricity. When the wave recedes, the column of air is depressurized and air rushes past the turbine in the other direction. This causes the turbine to rotate again and generate electricity. An example of a commercially operating oscillating water column is the LIMPET (Land Installed Marine Powered Energy Transformer) system, located on the island of Islay off Scotland's west coast. A tapchan is a tapered channel that feeds into a reservoir that is positioned on a cliff. As a wave enters and proceeds along the tapered channel, its height increases. Eventually, the wave spills over the channel and into the reservoir. The kinetic energy of the wave is converted to potential energy. The generation of electricity is similar to a hydroelectric plant. When water shifts from the reservoir back into the ocean, it is fed through a turbine that generates electricity. A pendulor device is a box with a hinged end that is open to the ocean. As waves pass by the opening, the hinged end swings back and forth. The hinged door is connected to a hydraulic pump and generator. This swinging door causes the generator to create electricity. Offshore wave energy power systems are located where the depth of water is at least 40 meters (m). Examples of offshore wave energy systems are the Salter Duck and the Pelamis systems. Both systems bob up and down, as a result of wave action. The bobbing powers a pump and a generator. How much energy do these systems generate? The power that the LIMPET system extracts from a wave is expressed in terms of the length of the wave, and is shown in Equation 1. Equation 1:
The amount of power produced by the LIMPET system is based on the length of the LIMPET, which is 20 m long. The power produced by the LIMPET system is shown in Equation 2. Equation 2:
When discussing power consumption, the unit of measure is kilowatt-hour (kWh). To convert the result in Equation 2 to kilowatt-hours, simply multiply by 1 hour (h). If you want to calculate the amount of power generated in a week, simply multiply the power output by the number of hours in a week. For example, the power output of the LIMPET system is 20 kW and the number of hours in a week is 168 h, then the power generated is The power produced by a Pelamis system is calculated using a complicated mathematical model. However, knowing the significant wave height and the dominant wave period and using the power matrix derived by the marine power engineers at Pelamis Wave Power, you can arrive at the power produced by the system. The power matrix is shown in Figure 2. The Power period in the matrix is the dominant wave period.
In this energy science fair project, you will determine which sites along the coasts of the United States would be appropriate sites to build either an onshore or an offshore wave energy power system. Terms, Concepts, and Questions to Start Background Research
Questions
Bibliography This website, from the Office of Naval Research, discusses how ocean waves are formed.
The following website is the website of WaveGen, the company that manufactures the LIMPET system. It contains a lot of information about how the LIMPET works and provides access to research papers.
This is the website of Pelamis Wave Power, the company that manufactures the Pelamis Wave Energy Converter.
To learn more about different methods for extracting energy from waves, check out this website:
This website offers buoy data, which you will need for this science fair project.
This document details retail electricity sales by state, from, 1990–2007. You can use this table to see how much electricity your state used for these years.
Materials and Equipment
Experimental Procedure
Variations
Credits Michelle Maranowski, PhD, Science Buddies
This science fair project is based on an activity found at the following website:
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If you like this project, you might enjoy exploring related careers.
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Mathematician Mathematicians are part of an ancient tradition of searching for patterns, conjecturing, and figuring out truths based on rigorous deduction. Some mathematicians focus on purely theoretical problems, with no obvious or immediate applications, except to advance our understanding of mathematics, while others focus on applied mathematics, where they try to solve problems in economics, business, science, physics, or engineering. | |
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