One of the problems with OTEC (Ocean Thermal Energy Conversion) is that it needs to take cold water from the deep ocean (about 1,000 meters below the surface). In order to boil a refrigerant, such as ammonia or propylene, an OTEC system uses warm surface waters at about 28° C., which is about the average temperature of ocean waters where OTEC plants will be built. Cold water at about 4° C. is drawn up from 1,000 meters down and pumped up to the surface vessel to condense the refrigerant. A conventional 100 MW (megawatt) OTEC plant would require about 200 cubic meters (200 metric tonnes) of cold water per second. That requires a large, expensive pipe and powerful pumps that require vast amounts of power. It also requires millions of pounds of aluminum heat exchangers. OTEC is an old concept that has waited many years to be developed to its full potential, but high capital costs and the excessive energy requirements have hampered progress in the field.
OTEC would offer a nice power source, if a solution could be found to the problem of the huge amount of cold water that needs to be pumped up from the deep ocean. The oceans contain enormous amounts of warm water and cold water. An OTEC plant can run 24 hours per day, unlike the solar plant that shuts down when the sun goes down, or the wind turbine that stops when the wind stops. OTEC does not require energy storage facilities.
This document presents a method of efficiently using warm surface ocean water and cold deep ocean water to drive a multi-stage Ocean Thermal Energy Conversion (OTEC) power plant. One of the problems with conventional OTEC power plants is that if a large amount of heat is deposited into the cold water, the engine efficiency decreases. If only a small amount of heat is deposited per cubic meter, the efficiency increases, but the heat capacity of the water is not well used.
The method of this invention is to have several stages of the power plant. Each stage uses a small temperature change for the cold water, but by having several stages, a larger total quantity of the heat capacity can be used. The cold water flows in series between the stages. Another feature of this invention is that the warm water side of the plant flows warm water in parallel with the stages, which tends to improve efficiency. It does require more warm water, but the warm water does not have to be pumped very far. Another feature of this invention is that after the warm water boils the refrigerant in the boiler, the refrigerant vapor flows to a counter-flow heat exchanger where a separate flow of warm ocean water superheats the refrigerant, which increases the efficiency.
Let us consider a three-stage OTEC plant. Cold water from deep ocean enters the first stage at approximately 4° C. and flows through the condenser to condense the working fluid that is coming from the turbine. The water warms up to about 10° C. and then it flows to the second stage where it flows through the condenser and heats up to about 16° C. Then it flows to the third stage condenser and heats up to approximately 22° C. Finally the water is discharged. It can be discharged through a diffuser exhaust port to recover some of the kinetic energy of the water.
When the working fluid (refrigerant) is condensed to liquid in the condensers of each stage, the working fluid is pumped to the boiler of that stage. Warm seawater at temperature of about 28° C. enters each stage boiler, where it boils the working fluid at a temperature of approximately 23° C. That warm seawater flows down through the boiler and then flows out to the seawater discharge pipe. Some of the fresh warm seawater enters counter-flow heat exchangers to superheat the working fluid vapor up to about 27° C. After the warm seawater leaves the bottom of each counter-flow super heater, it flows down to the lower part of the boiler where it pre-heats the liquid working fluid in preparation for boiling the working fluid. Then that water flows out to the seawater discharge pipe.
The boiled working fluid in each stage flows up to the counter-flow super heater, flows through the super heater, and then flows to the turbine of each stage. The turbines turn generators that generate electricity. After leaving the turbines, the working fluid flows to the condensers to be condensed and then repeats the cycle.
How much cold water is needed to drive this system? The power is
P=H
w
−H
c
where Hw is the heat from the warm water, and Hc is the heat deposited in the cold water.
Therefore,
H
c
=H
w
−P
Also
P=EHw
where E is the efficiency. Therefore,
H
c
=P(1−E)/E
The power in terms of cold water heat extraction and the efficiency is then
P=H
c
E/(1−E)
To calculate the Carnot efficiency, we consider each stage and sum the total efficiency. The Carnot efficiency equation is
E=(Th−Tc)/(273.15+Th)
where the temperatures are listed in degrees Celsius. Th is the hot temperature of the working fluid entering the turbine. Tc is the cold temperature of the condensed working fluid in the condenser. Refer to
E
1=(27−10)/(273.15+27)=0.0566
For the second stage, E2=(27−16)/(273.15+27)=0.0366. For the third stage, E3=(27−22)/(273.15+27)=0.0167.
To allow for mechanical and heat exchanger inefficiencies, we can multiply each efficiency by 0.7 and get E1=0.0396, E2=0.0256, and E3=0.0117.
As the cold water flows through the three stages, the temperature changes by 18° C. Since a cubic meter of water contains 1 million grams of water, and since the change in a gram of water by 1° requires one calorie of energy, and a calorie is equivalent to 4.184 joules, changing 1 cubic meter of water by 18 degrees requires 75,312,000 joules.
P
1=25,104,000 E1/(1.−E1)=1,035,109
Similarly, P2=695,547, and P3=297,194. The total power from the three stages would be 2,027,850 per cubic meter of cold water. If we divide that into 100 MW, we get 49.31 cubic meters of cold water per second, which is the amount of cold water per second that is needed for a 100 MW OTEC plant.
That is a dramatic reduction from the 200 cubic meters per second of the conventional OTEC plant.
The table below shows the requirement for cold water and warm water for our three-stage OTEC plant. The first two data columns of the table below are from a patent application “Industrial Ocean Thermal Energy Conversion Processes,” with first-named inventor Laurence J. Shapiro. (U.S. Patent App. Publication No. 2012/00723291, application Ser. No. 13/183,047).
The last column in Table I is for the three-stage OTEC plant design of this invention. It is illustrated by Three-Stage diagram as shown
The warm water enters the stages in a parallel manner. The cold water enters the stages in series.
People who are well-familiar with OTEC technology and who are accustomed to seeing numbers like 200 metric tonnes per second for the cold water flow in a huge pipe from 1,000 meters down in the ocean will appreciate the possibility of having a 100 MW OTEC plant requiring only 49.31 metric tons per second, as shown in Table I. The presently disclosed technology would save a lot of money on the pipe and on pumps and on pumping power. It would also save a lot of money on the heat exchangers. A lot of heat exchangers are necessary to process 200 tonnes of water per second.
This invention can also support plants that have more or fewer stages than what is shown in
It is therefore an object of the present invention to provide a method of staging OTEC power plants so that a much smaller quantity of cold and warm ocean water is required to provide a sizeable amount of electric power.
It is another object of the present invention is to have the cold water flow in series between the stages.
It is another object of the present invention is to have the warm water flow in parallel among the stages.
It is another object of the present invention is to provide super heating for the boiled working fluid, and the super heating is provided by counter-flow heat exchangers so that the vapor flowing to the turbines is very close to the temperature of the warm ocean surface temperature.
It is another object of the present invention is to provide for a various number of stages for different applications.
It is another object of the present invention is to use the warm ocean exiting from the counter-flow heat exchanger to provide pre-heating to the liquid working fluid as it flows into the boilers.
Other objects, advantages and novel features, and further scope of applicability of the present invention will be set forth in part in the detailed description to follow, taken in conjunction with the accompanying
The accompanying drawings, which are incorporated into and form a part of the specification, illustrate embodiments of the present invention and, together with the description, serve to explain the principles of the invention. The drawings are only for the purpose of illustrating preferred embodiments of the invention and are not to be construed as limiting the invention. In the drawings:
After the working fluid is condensed in the condensers, pumps 11 pump the working fluid to the respective boilers 12. After the working fluid is boiled in the boilers, the working fluid vapor flows through pipes 13 into the counter-flow super heaters 14, where they are heated to about (for example) 27° C. (depending on the temperature of the local ocean surface). Notice that the vapor leaving the boilers has a temperature of (again, by way of typical example) about 23° C. Pipes 15 carry the super heated working fluid to the turbines.
After the warm ocean water flows down through the counter-flow super heaters 14, the water exits the bottom of the super heaters through pipes 16 and flows to the lower part of the boilers 12; it then is used to pre-heat the working fluid before it is boiled. Alternatively, the warm seawater in pipes 16 could be carried to pre-heaters to heat the liquid working fluid before it flows into the boilers.
The warm ocean water flows in through pipe 17. Then it flows into the boilers 12 through pipes 18. Warm water also flows from pipe 17 into the super heaters 14 through pipes 19. The water flows out the bottoms of the boilers 12 through pipes 20 and then flows into the discharge pipe 21.
In addition to generating power, this invention provides methods to produce fresh water from seawater. The inventive methodology uses water vapor as a heat transfer medium. It is, in effect, like a heat pipe. Some heat pipes can conduct heat 20,000 times a fast as copper. By having water evaporate from a surface, it removes heat from that surface. Then the water vapor flows to a boiler surface and condenses on that surface. That deposits the heat into the surface.
In
As the water vapor 107 flows down to the boiler, it flows between and condenses on the boiler channels 111 and deposits heat in the liquid refrigerant. The liquid refrigerant enters through pipe 110 and flows up the boiler channels 111. The refrigerant boils and passes out through pipe 116. From there, it flows to a super heater or flows to the turbine (e.g., as seen in
Also, as the water vapor 107 flows to the boiler, it carries the dissolved air with it. And as the water vapor flows along the surface of the boiler channels 111, it tends to carry the air with it. When the air gets pushed to the bottom of the chamber 106, there is a vacuum pump 114 to remove the air through pipe 115. It is not necessary to pre-deaerate the water before it flows into the evaporator section. Only about 5% of the water enters the vacuum chamber 106. Most of the air is carried out with the water flowing through the warm water discharge pipe 103. The geometry near the bottom can be designed so that the air is concentrated to a smaller volume, but this is not shown in the figure.
The desalinated water flows out pipe 113. Since it is exiting from a partial vacuum, it must be pumped out, unless the vacuum chamber is sufficiently high so that gravity will remove it.
It is a good idea to have a thin coat of hydrophilic material on the surfaces, so that the water film tends to spread out all across the surfaces.
In
We can have a single unit like
We can not only produce fresh water from seawater on the boiler side of the OTEC plant, as shown in
For this design, a similar system is used to condense the refrigerant vapor that exhausts from the turbines. That refrigerant condenser is placed above the cooler (water condenser section) within the vacuum chamber 206. The refrigerant vapor enters the condenser section through pipe 210 and flows down the inside of the condenser channels 202. There is a source of cold water entering through pipe 201. The water flows up through channels 211 and out through pipe 209. Part of the water flows out pipe 203, which can supply cold water to the next stage or can discharge the cold water. The rest of the water flows up through pipe 220 and then flows through water distributors 204, that supplies films 205 of cold water running down the outside of the condenser channels 202. As the refrigerant vapor condenses inside the channels, it releases heat. That heat is absorbed by the water film 205 running down the outside and produces water vapor 207. The water vapor flows down to the water condenser section, where it condenses on the outsides of cold water channels 211 that contain flowing cold water from deep sea. The condensed water (films 212) runs down and is collected as fresh water through pipe 213.
The water caught in the catch troughs 208 and the fresh water is cold, so it can be directed to the next stage to provide cooling. That will increase the efficiency.
Again there will be air in the water vapor. It is swept downward with the flow of the vapor and the downward water flow of the water film on the cold water channels. A vacuum pump 214 removes the air and pumps it out pipe 215.
To calculate how much water is desalinated on the cold water side, we can use the equation Hc=P(1−E)/E, but it is simpler just to use the temperature change through the stages. I have written a computer program called otecnew.exe that calculates the efficiency and power. For the three-stage model, rather than use a 6 degree temperature change, I used a 5.7 degree change. Looking at
For the warm water side, Hw=P/E. It should be remembered that the principle concern regards the amount of cold water that must be pumped up from 1,000 meters down. For the first stage, P=1,002,670 watts per cubic meter of cold water per second. The efficiency (X 0.7) is 0.0403. Thus Hw1=24,880,149 watts. We divide that by 4.184 to get the number of calories per second. At the warm water side, the heat of vaporization (or condensation) is about 580 calories per gram. That gives 10,253 grams or 2.71 gallons per second (per cubic meter of cold water per second). Then we multiply by 49.31 to obtain the 100 MW power level; 133.74 gallons per second or 11.555 million gallons per day are realized. If the same process is performed for stages 2 and 3, then there are obtained about 34.12 million gallons of fresh water per day from the warm side. Adding that to the 32.94 million gallons from the cold water side, the total is 67.06 million gallons per day for the 100 MW plant. The superheat energy is not used for desalination.
If a question remains why the warm water side is multiplied by 49.31 (the amount of cold water per second), it is because the power P is given by P=HcE/(1−E), and Hc is the amount of heat delivered to the cold water when P is equal to 100 MW.
To provide added strength to the warm water channels and the boiler channels, these channels may be constructed of extruded aluminum, as shown in an end view in
As in the boiler section, the condenser can consist of tubes or structures like
Although specific embodiments have been illustrated and described in this disclosure, it will be appreciated by those of ordinary skill in the art that any arrangement that is calculated to achieve the same purpose may be substituted for the specific embodiment shown. This application is intended to cover any adaptations or variations of the present invention.
This application claims the benefit of the filing of U.S. Provisional Patent Application Ser. No. 61/840,613, filed by this inventor on Jun. 28, 2013, and the specification thereof is incorporated herein by reference.
Number | Date | Country | |
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61840613 | Jun 2013 | US |