Combined electrical and thermal renewable/conventional energy storage and on-demand hydro-osmotic power generation methods and systems
10384164 ยท 2019-08-20
Assignee
Inventors
Cpc classification
F03G7/005
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Y02A20/212
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
B01D19/0005
PERFORMING OPERATIONS; TRANSPORTING
B01D2311/252
PERFORMING OPERATIONS; TRANSPORTING
C02F2201/009
CHEMISTRY; METALLURGY
Y02W10/37
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
B01D2311/25
PERFORMING OPERATIONS; TRANSPORTING
B01D17/0205
PERFORMING OPERATIONS; TRANSPORTING
H02K7/1823
ELECTRICITY
B01D61/002
PERFORMING OPERATIONS; TRANSPORTING
Y02W10/30
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
Y02A20/131
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
B01D2313/367
PERFORMING OPERATIONS; TRANSPORTING
B01D61/005
PERFORMING OPERATIONS; TRANSPORTING
Y02W10/33
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
International classification
H02K7/18
ELECTRICITY
B01D61/42
PERFORMING OPERATIONS; TRANSPORTING
B01D61/00
PERFORMING OPERATIONS; TRANSPORTING
F03G7/00
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
In one embodiment, a renewable energy generation and storage system and method is provided for storing both electrical and thermal energy that includes a forward osmosis system for drawing water across a membrane such that the water drawn across the membrane is used to dilute an osmotic ionic draw solution and the diluted osmotic ionic draw solution is used to drive a hydro-turbine; an FO-EED separation system for separating the drawn water from the ionic draw solution using renewable electrical energy and an osmotic polymer introduced in the FO-EED system during use, so that the ionic draw solution is re-concentrated by using electrical energy, such that the water from the ionic solution combines with the concentrated osmotic polymer; a coalescer configured to receive compressed CO.sub.2 to separate the water from the polymer by having the polymer absorb the compressed CO.sub.2 during use; and using thermal energy for separating the CO.sub.2 from the polymer, thereby regenerating a concentrated polymer solution.
Claims
1. A renewable or conventional energy generation and storage system, the system comprising: a forward osmosis system for drawing water across a membrane such that, when in use, the water drawn across the membrane is used to dilute an osmotic concentrated ionic draw solution and the increased volume of the diluted osmotic draw solution is used to drive a hydro-turbine to produce energy; a hydro-turbine driven by the diluted ionic draw solution when in use; an FO-EED separation system for separating the drawn water from the ionic draw solution using renewable electrical energy and an osmotic polymer introduced in the FO-EED system during use, so that the ionic draw solution can be re-directed to the forward osmosis system and the water combined with the introduced polymer for further processing during use; and a coalescer configured to receive compressed CO.sub.2 to separate the water from the polymer by having the polymer absorb the compressed CO.sub.2 during use.
2. The renewable or conventional energy generation and storage system of claim 1, further comprising a source of heat to facilitate separation of the CO.sub.2 from the polymer.
3. The renewable or conventional energy generation and storage system of claim 1, wherein the draw solution comprises one or more ionic osmotic solutions.
4. The renewable or conventional energy generation and storage system of claim 3, wherein the ionic osmotic solution comprises magnesium chloride and/or ammonia chloride.
5. The renewable or conventional energy generation and storage system of claim 1, wherein the osmotic polymer comprises one or more amine-terminated branched polyethylene glycols.
6. The renewable or conventional energy generation and storage system of claim 1, wherein power from solar photovoltaic or wind turbines, or excess power generation from conventional energy sources, is used to supply electrical energy for the FO-EED system.
7. The renewable or conventional energy generation and storage system of claim 2, wherein the source of heat comprises solar thermal heat, or waste heat from industrial processes.
8. A method of generating and storing renewable energy, the method comprising: drawing water across a forward osmosis membrane in a forward osmosis system such that the water drawn across the membrane dilutes an osmotic ionic draw solution; directing the diluted osmotic ionic draw solution to drive a hydro-turbine to produce energy; separating the water from the ionic draw solution using an osmotic polymer so that the ionic draw solution can be re-directed to the forward osmosis system and the resulting combined water and polymer can be further processed; and separating the osmotic polymer from the water using compressed CO.sub.2.
9. The method of generating and storing renewable electrical energy of claim 8, wherein separating the water from the draw solution comprises directing the diluted draw solution into an FO-EED module.
10. The method of generating and storing renewable thermal energy of claim 8, further comprising heating the combination of polymer and CO.sub.2 to facilitate separation of the CO.sub.2 from the polymer.
11. The method of generating and storing renewable electrical energy of claim 8, wherein the draw solution comprises one or more ionic osmotic solutions.
12. The method of generating and storing renewable electrical energy of claim 11, wherein the draw solution comprises magnesium chloride and/or ammonia chloride.
13. The method of generating and storing renewable thermal energy of claim 8, wherein the osmotic polymer comprises one or more amine-terminated branched polyethylene glycols.
14. The method of generating and storing renewable thermal energy of claim 10, wherein heating comprises directing the combination of polymer and CO.sub.2 through a solar thermal heat exchanger.
Description
BRIEF DESCRIPTION OF THE FIGURES
(1) The aforementioned objects and advantages of the present invention, as well as additional objects and advantages thereof, will be more fully understood hereinafter as a result of a detailed description of a preferred embodiment when taken in conjunction with the following drawings in which:
(2)
DETAILED DESCRIPTION OF CERTAIN EMBODIMENTS
(3) A cost-effective energy storage technology, at low cost kWh cycle, and capable of rapid ramp-up, and combined with large scale installations of renewable energy, is needed to equalize grid loads throughout the day, for residential, commercial and utility-scale customers. The cost/kWh/cycle metric includes device costs, balance of system (BOS) costs, round trip efficiency (RTE) rates, long-term maintenance requirements, current rates, and the number of cycles that the device can store and discharge electricity, etc.
(4) Forward osmosis (FO) reflects recent technology being explored for desalination of seawater and produced water from oil and gas fields. Unlike reverse osmosis (RO) processes, which employ high pressures ranging from 400-1100 psi to drive fresh water through the membrane, forward osmosis uses the natural osmotic pressures of salt solutions to effect fresh water separation. A draw solution, having a significantly higher osmotic pressure than the saline feed-water, flows along the permeate side of the membrane, and water naturally transports itself across the membrane by osmosis. FO also does not require extensive pretreatment, given that the low pressures minimize fouling of the membranes. Relevant FO technology is described more fully in U.S. Pat. No. 8,021,553, issued Sep. 20, 2011 and assigned to NRGTEK, the entire contents of which is incorporated herein by reference. Relevant FO technology is also described in Non-Provisional patent application Ser. No. 15/153,688, filed May 12, 2016, and Non-Provisional patent application Ser. No. 15/272,406, filed Sep. 21, 2016, the entire contents of both of which is incorporated herein by reference.
(5) Electro-electrodialysis (EED) is a technology developed for obtaining concentrated ionic solutions from dilute ionic solutions, using single cells in a parallel configuration, which enables more precision in voltage and amperage control across each cell, as compared to a bi-polar configuration. EED also involves the preferential transport of ions through ion exchange membranes, under the influence of a DC electrical field, producing concentrated acids/bases and salt-depleted water. Relevant Forward Osmosis-Electro-electrodialysis (FO-EED) technology is described more fully in patent application Ser. No. 15/665,732, filed Aug. 1, 2017.
(6) The present invention takes advantage of power generation from low-temperature heat by hydro-osmotic processes. Relevant waste heat power generation technology is described more fully in Non-Provisional patent application Ser. No. 15/675,663, filed Aug. 11, 2017, the entire contents of which is incorporated herein by reference. The present invention also takes advantage of power storage using forward osmosis technology, which is described more fully in Non-Provisional patent application Ser. No. 15/784,700 filed Oct. 16, 2017, the entire contents of which is incorporated herein by reference.
(7) The present invention embodiments take advantage of the very low energy requirements of a forward osmosis system for water desalination or purification, combined with a FO-EED system with improved high-conductivity membranes, for production of fresh water and regeneration of the draw solution for the forward osmosis cycle. If an EED process is supplemented downstream to a forward osmosis (FO) process, the energy consumption of EED remains within manageable levels, given that the desalination is primarily effected by the FO membranes and the electrolyte still retains sufficient electrochemical conductivity for movement of ions, without inordinate resistance or concentration polarization effects. In addition, the problem of membrane fouling or resin fouling is alleviated, given that only the diluted draw solution is fed to the EED process, without organics, calcium and magnesium carbonates/bicarbonates, and other fouling contaminants in the feed to the EED. The end result is a very low volume of concentrated brine (25%) as the effluent, ideal for re-use as the draw solution concentrate for the upstream FO process. and with almost 70-75% of the incoming permeate from the FO process, as the diluted draw solution, converted to water treated to environmentally useable levels. Any ionized salt which gives a high osmotic potential in its solution in water, can be used as the draw solution for the forward osmosis process. Examples of preferred salts include ammonium chloride, magnesium chloride, ammonium bicarbonate or ammonium carbonate. A 20% solution of MgCl.sub.2 yields an osmotic pressure of almost 300 atms, as compared to 168.54 atms for an equivalent concentration of NaCl. Similarly, ammonium chloride solutions have even higher osmotic potentials, and would be very suitable draw agents for the FO process, while also retaining high electrochemical conductivity for a downstream separation process, such as a FO-EED process. Forward osmosis, using for example ionic salts as the draw solute, enables substantially pure water-salt solutions to be sent down-stream to the EED process, which alleviates membrane fouling and associated maintenance issues in the EED system. Thus, the EED process works at close to ideal efficiency.
(8) The EED process also includes anionic and cationic exchange resins in the main electrode compartments, in addition to the anionic and cationic membranes lining the periphery of the cells. As the salts ions are transported across the respective membranes, typically at a voltage of around 0.4-0.6 V/cell, the conductivity of the solution decreases, leading to higher amperage needs and corresponding resistance effects. Operating the cell at a higher voltage, around 0.8 V/cell, allows water to break down into H+ and OH ions, which interact with the ion exchange resins in the cell, and restore ionic conductivity in the solution. The applied voltage is insufficient to electrolyze water into hydrogen and oxygen gases, which would ideally require voltages in excess of 1.23 VDC. Thus, the resins acts as a ionic pathway across each individual cell, keeping cell amperage and resistance low. Commercially available solid polymer membranes do not have sufficient electrochemical conductivity for efficiently deionizing large amounts of salt without a substantial energy penalty. New membranes with electrochemical conductivity higher by a hundred-fold are described herein. Such membranes, suitable for deionization of the ionic FO permeate to pure water and regeneration of a concentrated ionic FO draw solution, are described herewith. Porous gelled liquid electrolyte membranes have properties intermediate between liquid electrolytes and solids-state electrolyte membranes. These membranes have interconnected pores, filled with the desired electrolyte, which is held inside the pores by capillary forces. The pores are typically between 1-10 microns, and the porous polymer gel may have a porosity between 85-90%, which can then be filled with the desired liquid electrolyte by absorption. The polymers typically used for forming the porous membrane structures are well-known in literature, and range from polyethylene oxide (PEO), polyacrylonitrile (PAN), polydimethylsiloxane (PDMS), polyvinylidene difluoride (PVDF), poly(methyl-methlyacrylate) (PMMA) and other polymers. Some membranes cited in literature are also made from mixtures of these polymers with each other and other polymers. Thus, a few examples of porous membrane structures suitable for gelled electrolyte membranes are PVDF-HFP (PVDF-co-hexafluoropropylene) membranes, PDMS-PAN-PEO membranes, PVDF-NMP-EC-PC (PVDF with n-methylpyrilodine and ethylene and propylene carbonate) and even PVDF on glass mats. Such porous membranes, in which saturated solutions of MgCl.sub.2 or NH.sub.4Cl have been absorbed, would have much higher electrochemical conductivity than conventional solid-state membranes.
(9) If the draw solution to be used for the FO process is MgCl.sub.2, as described in co-pending U.S. patent application Ser. No. 15/153,688, filed May 12, 2016, a porous gelled electrolyte membrane filled with saturated MgCl.sub.2 solution can be used for both the anionic and the cationic sides in the FO-EED process, instead of conventional anionic or cationic solid membranes. Given that the gelled MgCl.sub.2 cationic membrane is now used for transport of Mg+ ions across the membrane in the FO-EED system, and the gelled MgCl.sub.2 anionic membrane is used for transport of chloride ions across the membrane in the FO-EED system, the transport efficiency of these ions across their respective membranes are optimized. Such gelled polymer electrolyte membranes function as salt bridges with electrodes of suitable polarity attached to them to either enable anion or cation transport. No new species are introduced into the system, and no other electrochemical or ionic interference effects takes place, given that all the cells in the FO-EED system contain the same ionic species, though in different concentrations. The exact impedance matching of these gelled polymer electrolyte membranes, if made by a procedure as described above, enables the minimization of polarization losses in the experimental cell. The anode and cathode materials are platinized titanium meshes, in order to resist salt and chloride corrosion.
(10) Other osmotic solutions can also be used for operation of the FO-EED process, as described in co-pending U.S. patent application Ser. No. 15/153,688, filed May 12, 2016. Some are organic solutions of specially engineered polyethyelene glycols in water, exhibiting high osmotic potentials, and have the property of solubility inversion at certain temperatures or by injection of CO.sub.2 gas. Thus, these organic solutes exhibit hydrophobicity and, thus, fall out of solution from their water mixtures. A two-phase mixture results, one draw solute-rich and the other water-rich.
(11) The FO-EED process can make use of these novel organic, hydrophilic-lypophilic, specifically engineered oligomers, capable of high osmotic pressures in aqueous solutions and, thus, able to extract water from saline waters with high recovery rates. The regeneration of these osmotic agents is effected by the phase separation of these agents from their aqueous solutions with injection of CO.sub.2 gas. The CO.sub.2 gas is subsequently desorbed by increasing the temperature of the polymer. Utilization of solar-thermal systems can effectively enable the temperatures of the solute-CO.sub.2 mixtures to be raised above their CO.sub.2 desorption temperature, thus, enabling regeneration of the concentrated solutes for recycling to the FO-EED step, as well as recovering the CO.sub.2 gas for re-injection to the process.
(12) A great quantity of energy can be potentially obtained when waters of different salinities are mixed together. The harnessing of this energy for conversion into power can be accomplished by means of Forward Osmosis, which can be configured as a Pressure Retarded Forward Osmosis (PRFO) system, a Pressure Assisted Forward Osmosis (PAFO) system, or a Pressure Equalized Forward Osmosis (PEFO) system. Embodiments of the invention described herein include a PRFO system, but other forward osmosis systems could be used. Pressure retarded forward osmosis uses a semi-permeable membrane to separate a less concentrated solution, or solvent, (for example, fresh water) from a more concentrated and pressurized solution (for example sea-water), allowing the solvent to pass to the concentrated solution side. The additional volume increases the pressure on the permeate side, which can be depressurized by a hydro-turbine to produce powerthus the term osmotic power.
(13) The concept of harvesting the energy generated from mixing waters of different salinities was first reported by Pattle, and then re-investigated in the mid 1970s. With recent advances in membrane technology, there has been a reduction in membrane prices, rendering PRFO more economically viable. Encouraged by new research findings, Statkraft, Norway opened the world's first PRFO power plant prototype in November 2009 in Norway, at a site where river water flows into the North Sea, giving the required salinity and osmotic differential against seawater. This prototype has proved that the PRFO concept can be used to generate electricity. The plant was used to test different types of membranes and plant configurations and has been a key factor in the investigation of osmotic power. Despite membrane, hydraulic and generator inefficiencies, it was discovered that approximately 1 MW of power could be generated per cubic meter of river water flow per second into the ocean.
(14) Examples of embodiments of the present inventive energy generation and storage technology are shown in
(15) Using commercially available carbon nanotube FO membranes from Porifera, for example, a PFO-9S system has a membrane surface area of 67 m.sup.2. For a feed concentration of 1M NaCl (osmotic potential of 48 atm) against pure water, the flux rate of water across the membrane was measured at 33 liters/m.sup.2/hr (LMH). For a 25% MgCl.sub.2 solution (osmotic potential of 400 atm, 2.6M solution of MgCl.sub.2) against fresh water, a flux rate in excess of 150 LMH is feasible. Thus, across the PFO-9S membrane, the total water flux would be around 10,050 liters/hr, or 2,655 gallons/hr. This equates to 44.25 GPM. The equivalent head for an osmotic potential of 400 atm is 12,842 feet of water. Computing the power rating of such a system, a water flux of 44.25 GPM and an osmotic differential of 400 atm, the power rating of a PRFO system is equivalent to 107 KW [P(KW)=44.25*12,842/5310=107 KW].
(16) The PFO-9S membrane is available at a retail cost of $25,000, and assuming a balance of plant cost (including the FO-EED system, storage tanks and the hydro-turbines) of $125,000, we have a total cost of $150,000 for a 100 KW, with a capacity of sufficient energy storage for an 18-hour generation system (using approximately 60,000 gallons of water and concentrated draw solutions). Thus, the cost of storage is $150,000 for 1,800 kWh, i.e., $83.33/kWh. Assuming a 10-year life for the system (3650 cycles), the life-cycle cost of storage ($/kWh/cycle) computes to $0.0228/kWh/cycle. In comparison, for lithium-ion batteries (LIBs), the life-cycle cost of storage for a 10-year period is as follows: in the case of a LIB system specifying 6.4 kWh for $3,000, we have $468.75/kWh of storage capacity; in the case of a LIB system at $1,600, for 2.2 kWh it is $727.27/kWh of storage capacity. The LIB system commonly has a 10-year warranty, i.e. a full warranty for 3,650 Full Depth of Discharge cycles (once a day for 10 years), with zero capacity fade. For these above examples of LIBs, the Cost/kWh/Cycle computes to: $468.75 kWh/3,650 cycles=$0.1284/kWh/cycle; and $727.27 kWh/3.650 cycles=$0.1992/kWh/cycle. Thus, embodiments of the present invention can provide economic benefits for renewal energy storage.
(17) Referring to
(18) In one application of the example embodiment of
(19) The FO-EED module 18 also produces a water polymer mixture 56, which can be directed into the coalescer (gas-liquid mixer) 24, which separates water from the polymer through the use of injected CO.sub.2 60. Exiting the coalescer (gas-liquid mixer) 24 is a combination of polymer and absorbed CO.sub.2 62, which is then directed into the heat source 26. The heated combination of desorbed CO.sub.2 and polymer 64 is then directed into the CO.sub.2 desorber 28, where the CO.sub.2 is separated from the polymer. The desorbed CO.sub.2 68 is then joined with any unabsorbed CO.sub.2 70 that was not absorbed in the coalescer (gas-liquid mixer) 24 and directed into the CO.sub.2 compressor 38, where the compressed CO.sub.2 60 can then be stored or simply directly injected back into the coalescer (gas-liquid mixer) 24. In the meantime, the polymer 72 separated from the CO.sub.2 is then preferably directed into the cooling tower 30, then into the optional polymer storage tank 34 before being redirected into the FO-EED module 18. The use of heat, including waste heat, to drive the separation of polymer from CO.sub.2 is described more fully in Non-Provisional patent application Ser. No. 15/272,406, filed Sep. 21, 2016 and Non-Provisional patent application Ser. No. 15/675,663, filed Aug. 11, 2017, the entire contents of both of which are incorporated herein by reference. In one embodiment, the ionic solution, the water and the polymer are directed through the system using low pressure pumps, although optimization of the system may lead to differences as desired by the user.
(20) Energy Generation:
(21) When energy generation is needed, during periods of high-cost energy or when no solar insolation is available, the regenerated/concentrated 25% MgCl.sub.2 (2.6M) solution (osmotic potential 400 atm) is pumped through the draw side of a PRFO/PAFO/PEFO membrane system, while the stored fresh water is routed through a low-pressure pump to the feed side of the FO membrane. The high difference in osmotic potentials between these two streams across the FO membrane, assisted by positive hydraulic pressure from the LP pumps, enables large volumes of water at high flux rates (50-150 LMH) to permeate across the membrane, leading to high hydraulic pressures, which in turn is routed through a hydro-turbine, which can be used to produce power as needed.
(22) Energy Storage:
(23) During periods of renewable electrical energy generation (or low-cost grid power availability), a diluted draw solution of an ionic salt (e.g. MgCl.sub.2) is routed from a storage tank to a specially engineered FO-EED system (high-permeability FO hollow-fiber membranes and ion-exchange membranes with very high conductivities (10 commercial solid-state membranes), wherein the electricity produced from the renewable energy source (solar PV) is used to re-concentrate the ionic salt solution to concentrations greater than 25% (equivalent to osmotic potentials of 400 atms), with electrochemical energy from solar PV (or grid-based inverters). Simultaneously, in the FO-EED system, the majority of water is separated from the incoming diluted ionic draw solution by using concentrated polymeric draw solutions. The now-concentrated ionic draw solute stream is stored in a separate tank for subsequent use in the energy generation cycle.
(24) The diluted polymeric draw solution is further routed to a CO.sub.2 injection gas-liquid coalescer and a solar-thermal (or waste heat) concentration system. During concurrent periods of solar thermal energy generation (or from a waste heat source), the diluted solution of the polymers from the FO-EED system is routed to a gas-liquid coalescer, wherein CO.sub.2 gas is introduced into the diluted polymeric solution. Absorption of CO.sub.2 by the polymer causes the polymer to completely phase-separate from water. The CO.sub.2-rich polymer liquid is routed to a solar-thermal (or waste heat) heat source, wherein the CO.sub.2 is desorbed at temperatures around 75-80 C., and the polymer regenerated as a concentrated polymeric solution with high water absorption capacity. Simultaneously, the fresh water separated from the diluted polymeric draw solution is filtered and stored in a tank for subsequent use in the energy generation cycle.
(25) The described invention thus enables storage of both renewable electrical energy, in concentrated ionic draw solutes, and renewable thermal energy, in concentrated polymeric draw solutes. One embodiment of the invention enables both solar electrical and solar thermal energy to be stored. Another embodiment of the invention enables excess electrical generation capacity and waste heat to be stored for power generation during periods of need.
(26) The techno-economics of the two cycles are discussed below. Calculation assumptions: solar insolation/low-cost grid-based energy available for 8 hours per day, and energy production from energy storage system for 16 hours per day, during periods of high-cost grid-power or no/low solar insolation.
(27) Energy Generation Cycle:
(28) Assuming 1,330 gallons of 25% MgCl.sub.2 solution, with an osmotic pressure of 400 atms, the ionic osmotic fluid should be able to pull 41,150 gallons of fresh water through the FO membrane, at an LMH of 150. [Dilution of MgCl.sub.2 from permeated water across the membrane: 1330 gallons @400 atm=2,660 gallons @200 atms=5,320 gallons @100 atms=10,640 gallons @50 atms=21,280 gallons @25 atms=42,560 gallons @12.5 atms. Ionic draw solute diluted from 25% to 0.78125%]. Total amount of water pulled across the membrane=41,150 gallons in 16 hours. Since fresh water, at 50 psig 3 atm) hydraulic pressure, is used as the feed, no concentration polarizations effects happen, which would have caused lowered flux rates. The PAFC mode helps in maintaining high flux rates. Total liquid volume flow across the hydro-turbine=42,560 gallons in 16 hrs=44.33 GPM for 16 hours of energy generation. Osmotic pressure differential: 403-1=402 atms.=402*32.04=12,880 ft (static head) of water (assuming a trans-membrane pressure drop of 12.5 psig 1 atm). The equation for ideal hydro-dynamic calculations, at 100% efficiency, for the power of a hydro-turbine is: P=Q*H/k (where P=power in KW, Q=flow rate in GPM, H=static head in feet, and k=5,310 gal.Math.ft/min.Math.kW). Thus, using the above equation, P (KW)=GPM*Head(ft)/5310=44.33*12,880/5310=107.53 KW. At an assumed 50% efficiency of the hydro-turbines (high-flow turbines), available power=53.765 KW. Assuming a parasitic load of 5.0 KW for the low-pressure pumps, available power=48.765 KW, after taking into consideration the energy consumed by the LP pumps. Energy produced=780 KWH over a period of 16 hours.
(29) Energy Storage Cycle:
(30) Energy consumed for regeneration of a 25% MgCl.sub.2 solution from the diluted (0.78125% MgCl.sub.2) solution at 600 VDC and 13.2 amps for 8 hours=63.36 kWh ea, for 2 systems. (Reported in Evoqua literature for a 27.5 GPM CEDI system with IonPure membranesthe Nrgtek system is calculated to be around 22.125 GPM flux rates across 2 modified FO-EED systems for efficient separation and concentration of the ionic draw solution, using higher ionic conductivity AEX and CEX membranes (1-3 S/cm), both of which should lower energy consumption).
(31) Assuming 75% efficiency for the FO-EED system for regeneration of the ionic osmotic solute, electrical energy needs from the solar PV system=168.96 kWh. Heating 1,330 gallons (5,034.45 liters) of solvent (after CO.sub.2-induced phase separation from water), with a specific heat of 0.88 kcal/l, from a temperature of 25 C. to 85 C. (for CO.sub.2 desorption), heat required=5034.45*0.88*60=265,818.9 kcal=328.95 kWh. Assuming 75% thermal efficiency for the waste heat or solar thermal system, needed heat energy (solar-thermal or waste heat) in kWh=438.60 kWh for CO.sub.2 desorption. Total volume of CO.sub.2 needed @ 250 mg CO.sub.2/ml solvent=1,006.9 m.sup.3 of CO.sub.2 at atmospheric pressure, to be compressed to 50-100 psig (125.86 Nm.sup.3/hr or 84.33 SCFM, over 8 hours). Assuming a 30 KW CO.sub.2 compressor, operated over 8 hours, energy consumed=240 kWh. Total energy supplied during the storage mode=168.96+438.60+240=847.56 kWh. Round-trip efficiency: Energy produced in 16 hours/energy stored in 8 hours=780/847.56=92%.
(32) Persons of ordinary skill in the art may appreciate that numerous design configurations may be possible to enjoy the functional benefits of the inventive systems. Thus, given the wide variety of configurations and arrangements of embodiments of the present invention the scope of the invention is reflected by the breadth of the claims below rather than narrowed by the embodiments described above.