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Compressed-air energy storage (CAES) is a way to store energy for later use using
compressed air Compressed air is air kept under a pressure that is greater than atmospheric pressure. Compressed air is an important medium for transfer of energy in industrial processes, and is used for power tools such as air hammers, drills, wrenches, and o ...
. At a
utility As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosopher ...
scale, energy generated during periods of low demand can be released during
peak load In electrical engineering, a load profile is a graph of the variation in the electrical load versus time. A load profile will vary according to customer type (typical examples include residential, commercial and industrial), temperature and hol ...
periods.Wild, Matthew, L
Wind Drives Growing Use of Batteries
''
The New York Times ''The New York Times'' (''the Times'', ''NYT'', or the Gray Lady) is a daily newspaper based in New York City with a worldwide readership reported in 2020 to comprise a declining 840,000 paid print subscribers, and a growing 6 million paid ...
'', July 28, 2010, p. B1.
The first utility-scale CAES project has been built in Huntorf, Germany, and is still operational. The Huntorf plant was initially developed as a load balancer for fossil fuel-generated electricity, the global shift towards
renewable energy Renewable energy is energy that is collected from renewable resources that are naturally replenished on a human timescale. It includes sources such as sunlight, wind, the movement of water, and geothermal heat. Although most renewable energy ...
renewed interest in CAES systems, to help highly intermittent energy sources like
photovoltaics Photovoltaics (PV) is the conversion of light into electricity using semiconducting materials that exhibit the photovoltaic effect, a phenomenon studied in physics, photochemistry, and electrochemistry. The photovoltaic effect is commercially us ...
and
wind Wind is the natural movement of air or other gases relative to a planet's surface. Winds occur on a range of scales, from thunderstorm flows lasting tens of minutes, to local breezes generated by heating of land surfaces and lasting a few hou ...
satisfy fluctuating electricity demands.Lund, Henrik. The role of compressed air energy storage (CAES) in future sustainable energy systems. Energy Conversion and Management. One ongoing challenge in large-scale design is the management of thermal energy since the compression of air leads to an unwanted temperature increase that not only reduces operational efficiency but can also lead to damage. The main difference between various architectures lies in thermal engineering. On the other hand, small-scale systems have long been used as propulsion of mine locomotives. Contrasted with traditional batteries, systems can store energy for longer periods of time and have less upkeep.


Types

Compression of air creates heat; the air is warmer after compression. Expansion removes heat. If no extra heat is added, the air will be much colder after expansion. If the heat generated during compression can be stored and used during expansion, the efficiency of the storage improves considerably.Gies, Erica
Global Clean Energy: A Storage Solution Is in the Air
''
International Herald Tribune The ''International Herald Tribune'' (''IHT'') was a daily English-language newspaper published in Paris, France for international English-speaking readers. It had the aim of becoming "the world's first global newspaper" and could fairly be said ...
'', October 1, 2012. Retrieved from NYTimes.com website, March 19, 2013.
There are several ways in which a CAES system can deal with heat. Air storage can be adiabatic, diabatic,
isothermal In thermodynamics, an isothermal process is a type of thermodynamic process in which the temperature ''T'' of a system remains constant: Δ''T'' = 0. This typically occurs when a system is in contact with an outside thermal reservoir, and ...
, or near-isothermal.


Adiabatic

Adiabatic storage continues to store the energy produced by compression and returns it to the air as it is expanded to generate power. This is a subject of an ongoing study, with no utility-scale plants as of 2015. The theoretical efficiency of adiabatic storage approaches 100% with perfect insulation, but in practice, round trip efficiency is expected to be 70%. Heat can be stored in a solid such as concrete or stone, or in a fluid such as hot oil (up to 300 °C) or molten salt solutions (600 °C). Storing the heat in hot water may yield an efficiency around 65%. Packed beds have been proposed as thermal storage units for A-* " systems. A study numerically simulated an adiabatic compressed air energy storage system using packed bed thermal energy storage. The efficiency of the simulated system under continuous operation was calculated to be between 70.5% and 71%.


Diabatic

Diabatic storage dissipates much of the heat of compression with intercoolers (thus approaching isothermal compression) into the atmosphere as waste, essentially wasting the energy used to perform the work of compression. Upon removal from storage, the temperature of this compressed air is ''the one indicator'' of the amount of stored energy that remains in this air. Consequently, if the air temperature is low for the
energy recovery Energy recovery includes any technique or method of minimizing the input of energy to an overall system by the exchange of energy from one sub-system of the overall system with another. The energy can be in any form in either subsystem, but mos ...
process, the air must be substantially re-heated prior to expansion in the
turbine A turbine ( or ) (from the Greek , ''tyrbē'', or Latin ''turbo'', meaning vortex) is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. The work produced by a turbine can be used for generating ...
to power a
generator Generator may refer to: * Signal generator, electronic devices that generate repeating or non-repeating electronic signals * Electric generator, a device that converts mechanical energy to electrical energy. * Generator (circuit theory), an eleme ...
. This reheating can be accomplished with a natural gas-fired burner for
utility As a topic of economics, utility is used to model worth or value. Its usage has evolved significantly over time. The term was introduced initially as a measure of pleasure or happiness as part of the theory of utilitarianism by moral philosopher ...
-grade storage or with a heated metal mass. As recovery is often most needed when renewable sources are quiescent, the fuel must be burned to make up for the ''wasted'' heat. This degrades the efficiency of the storage-recovery cycle. While this approach is relatively simple, the burning of fuel adds to the cost of the recovered electrical energy and compromises the ecological benefits associated with most
renewable energy Renewable energy is energy that is collected from renewable resources that are naturally replenished on a human timescale. It includes sources such as sunlight, wind, the movement of water, and geothermal heat. Although most renewable energy ...
sources. Nevertheless, this is thus far the only system that has been implemented commercially. The McIntosh, Alabama CAES plant requires 2.5 MJ of electricity and 1.2 MJ
lower heating value The heating value (or energy value or calorific value) of a substance, usually a fuel or food (see food energy), is the amount of heat released during the combustion of a specified amount of it. The ''calorific value'' is the total energy rele ...
(LHV) of gas for each MJ of energy output, corresponding to an energy recovery efficiency of about 27%. A
General Electric General Electric Company (GE) is an American multinational conglomerate founded in 1892, and incorporated in New York state and headquartered in Boston. The company operated in sectors including healthcare, aviation, power, renewable energ ...
7FA 2x1 combined cycle plant, one of the most efficient natural gas plants in operation, uses 1.85 MJ (LHV) of gas per MJ generated, a 54% thermal efficiency.


Isothermal

Isothermal compression and expansion approaches attempt to maintain
operating temperature An operating temperature is the allowable temperature range of the local ambient environment at which an electrical or mechanical device operates. The device will operate effectively within a specified temperature range which varies based on the de ...
by constant heat exchange to the environment. In a reciprocating compressor, this can be achieved by using a finned piston and low cycle speeds. Current challenges in effective
heat exchanger A heat exchanger is a system used to transfer heat between a source and a working fluid. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contac ...
s mean that they are only practical for low power levels. The theoretical efficiency of isothermal energy storage approaches 100% for perfect heat transfer to the environment. In practice, neither of these perfect thermodynamic cycles is obtainable, as some heat losses are unavoidable, leading to a near-isothermal process.


Near-isothermal

Near-isothermal compression (and expansion) is a process in which a gas is compressed in very close proximity to a large incompressible thermal mass such as a heat absorbing and releasing structure (HARS) or a water spray. A HARS is usually made up of a series of parallel fins. As the gas is compressed, the heat of compression is rapidly transferred to the thermal mass, so the gas temperature is stabilized. An external cooling circuit is then used to maintain the temperature of the thermal mass. The isothermal efficiency (Z) is a measure of where the process lies between an adiabatic and isothermal process. If the efficiency is 0%, then it is totally adiabatic; with an efficiency of 100%, it is totally isothermal. Typically with a near-isothermal process, an isothermal efficiency of 90-95% can be expected.


Other

One implementation of isothermal CAES uses high, medium, and low pressure pistons in series. Each stage is followed by an airblast
venturi pump A vacuum ejector, or simply ejector is a type of vacuum pump, which produces vacuum by means of the Venturi effect. In an ejector, a working fluid (liquid or gaseous) flows through a jet nozzle into a tube that first narrows and then expands i ...
that draws ambient air over an air-to-air (or air-to-seawater) heat exchanger between each expansion stage. Early compressed air
torpedo A modern torpedo is an underwater ranged weapon launched above or below the water surface, self-propelled towards a target, and with an explosive warhead designed to detonate either on contact with or in proximity to the target. Historically, su ...
designs used a similar approach, substituting seawater for air. The venturi warms the
exhaust Exhaust, exhaustive, or exhaustion may refer to: Law *Exhaustion of intellectual property rights, limits to intellectual property rights in patent and copyright law **Exhaustion doctrine, in patent law ** Exhaustion doctrine under U.S. law, in p ...
of the preceding stage and admits this preheated air to the following stage. This approach was widely adopted in various compressed air vehicles such as H. K. Porter, Inc.'s mining
locomotives A locomotive or engine is a rail transport vehicle that provides the motive power for a train. If a locomotive is capable of carrying a payload, it is usually rather referred to as a multiple unit, motor coach, railcar or power car; the ...
and trams. Here the heat of compression is effectively stored in the atmosphere (or sea) and returned later on.


Compressors and expanders

Compression can be done with electrically powered
turbo-compressor An axial compressor is a gas compressor that can continuously pressurize gases. It is a rotating, airfoil-based compressor in which the gas or working fluid principally flows parallel to the axis of rotation, or axially. This differs from othe ...
s and expansion with turbo-expanders or
air engine A pneumatic motor (air motor), or compressed air engine, is a type of motor which does mechanical work by expanding compressed air. Pneumatic motors generally convert the compressed air energy to mechanical work through either linear or rotary m ...
s driving
electrical generator In electricity generation, a generator is a device that converts motive power (mechanical energy) or fuel-based power (chemical energy) into electric power for use in an external circuit. Sources of mechanical energy include steam turbines, gas ...
s to produce electricity.


Storage

Air storage vessels vary in the thermodynamic conditions of the storage and on the technology used: # Constant volume storage (solution mined caverns, aboveground vessels, aquifers, automotive applications, etc.) # Constant pressure storage (underwater pressure vessels, hybrid pumped hydro - compressed air storage)


Constant-volume storage

This storage system uses a chamber with specific boundaries to store large amounts of air. This means from a thermodynamic point of view that this system is a constant-volume and variable-pressure system. This causes some operational problems for the compressors and turbines, so the pressure variations have to be kept below a certain limit as do the stresses induced on the storage vessels. The storage vessel is often a
cavern A cave or cavern is a natural void in the ground, specifically a space large enough for a human to enter. Caves often form by the weathering of rock and often extend deep underground. The word ''cave'' can refer to smaller openings such as sea ...
created by
solution mining In-situ leaching (ISL), also called in-situ recovery (ISR) or solution mining, is a mining process used to recover minerals such as copper and uranium through boreholes drilled into a deposit, ''in situ''. In situ leach works by artificially disso ...
(salt is dissolved in water for extraction) or by utilizing an abandoned mine; use of porous and permeable rock formations (rocks that have interconnected holes, through which liquid or air can pass), such as those in which reservoirs of natural gas are found, has also been studied. In some cases, an above-ground pipeline was tested as a storage system, giving some good results. Obviously, the cost of the system is higher, but it can be placed wherever the designer chooses, whereas an underground system needs some particular geologic formations (salt domes, aquifers, depleted gas fields, etc.).


Constant-pressure storage

In this case, the storage vessel is kept at constant pressure, while the gas is contained in a variable-volume vessel. Many types of storage vessels have been proposed. However, the operating conditions follow the same principle: The storage vessel is positioned hundreds of meters underwater, and the hydrostatic pressure of the water column above the storage vessel maintains the pressure at the desired level. This configuration allows: * Improvement of the energy density of the storage system because all the air contained can be used (the pressure is constant in all charge conditions, full or empty, so the turbine has no problem exploiting it, while with constant-volume systems if the pressure goes below a safety limit the system needs to stop). * Improvement of the efficiency of the turbomachinery, which will work under constant-inlet conditions. * Use of various geographic locations for the positioning of the CAES plant (coastal lines, floating platforms, etc.). On the other hand, the cost of this storage system is higher due to the need to position the storage vessel on the bottom of the chosen water reservoir (often the sea or the ocean) and due to the cost of the vessel itself. A different approach consists of burying a large bag buried under several meters of sand instead of water. Plants operate on a peak-shaving daily cycle, charging at night and discharging during the day. Heating the compressed air using natural gas or geothermal heat to increase the amount of energy being extracted has been studied by the Pacific Northwest National Laboratory. Compressed-air energy storage can also be employed on a smaller scale, such as exploited by air cars and air-driven
locomotive A locomotive or engine is a rail transport vehicle that provides the Power (physics), motive power for a train. If a locomotive is capable of carrying a payload, it is usually rather referred to as a multiple unit, Motor coach (rail), motor ...
s, and can use high-strength (e.g.,
carbon-fiber Carbon fiber-reinforced polymers (American English), carbon-fibre-reinforced polymers (Commonwealth English), carbon-fiber-reinforced plastics, carbon-fiber reinforced-thermoplastic (CFRP, CRP, CFRTP), also known as carbon fiber, carbon compo ...
) air-storage tanks. In order to retain the energy stored in compressed air, this tank should be thermally isolated from the environment; otherwise, the energy stored will escape in the form of heat, because compressing air raises its temperature.


History

Citywide compressed air energy systems have been built since 1870. Cities such as
Paris, France Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), ma ...
;
Birmingham, England Birmingham ( ) is a city and metropolitan borough in the metropolitan county of West Midlands in England. It is the second-largest city in the United Kingdom with a population of 1.145 million in the city proper, 2.92 million in the We ...
;
Dresden Dresden (, ; Upper Saxon: ''Dräsdn''; wen, label=Upper Sorbian, Drježdźany) is the capital city of the German state of Saxony and its second most populous city, after Leipzig. It is the 12th most populous city of Germany, the fourth larg ...
, Rixdorf and
Offenbach, Germany Offenbach am Main () is a city in Hesse, Germany, on the left bank of the river Main. It borders Frankfurt and is part of the Frankfurt urban area and the larger Frankfurt Rhein-Main urban area. It has a population of 138,335 (December 2018). I ...
and
Buenos Aires, Argentina Buenos Aires ( or ; ), officially the Autonomous City of Buenos Aires ( es, link=no, Ciudad Autónoma de Buenos Aires), is the capital and primate city of Argentina. The city is located on the western shore of the Río de la Plata, on South ...
installed such systems. Victor P (opp constructed the first systems to power clocks by sending a pulse of air every minute to change their pointer arms. They quickly evolved to deliver power to homes and industries. As of 1896, the Paris system had 2.2 MW of generation distributed at 550 kPa in 50 km of air pipes for motors in light and heavy industry. Usage was measured by cubic meters. The systems were the main source of house-delivered energy in those days and also powered the machines of
dentists A dentist, also known as a dental surgeon, is a health care professional who specializes in dentistry (the diagnosis, prevention, management, and treatment of diseases and conditions of the oral cavity and other aspects of the craniofacial comp ...
,
seamstress A dressmaker, also known as a seamstress, is a person who makes custom clothing for women, such as dresses, blouses, and evening gowns. Dressmakers were historically known as mantua-makers, and are also known as a modiste or fabrician. Nota ...
es, printing facilities and
bakeries A bakery is an establishment that produces and sells flour-based food baked in an oven such as bread, cookies, cakes, donuts, pastries, and pies. Some retail bakeries are also categorized as cafés, serving coffee and tea to customers who w ...
. The first utility-scale
diabatic One of the guiding principles in modern chemical dynamics and spectroscopy is that the motion of the nuclei in a molecule is slow compared to that of its electrons. This is justified by the large disparity between the mass of an electron and th ...
compressed air energy storage project was the 290 megawatt Huntorf plant opened in 1978 in Germany using a salt dome with 580 MWh energy, 42% efficiency.IRENA (2017).
Electricity Storage and Renewables: Costs and Markets to 2030
, page 55. ''
International Renewable Energy Agency The International Renewable Energy Agency (IRENA) is an intergovernmental organization mandated to facilitate cooperation, advance knowledge, and promote the adoption and sustainable use of renewable energy. It is the first international organis ...
'', Abu Dhabi.
A 110-megawatt plant with a capacity of 26 hours (2,860 MWh energy) was built in McIntosh, Alabama (1991). The Alabama facility's $65 million cost equals $590 per kW of capacity and about $23 per kW-hr of storage capacity. It uses a 19 million cubic foot solution mined salt cavern to store air at up to 1100 psi. Although the compression phase is approximately 82% efficient, the expansion phase requires the combustion of natural gas at one-third the rate of a gas turbine producing the same amount of electricity at 54% efficiency. The US Department of Energy awarded $24.9 million in matching funds for phase one of a 300 MW, $356 million Pacific Gas and Electric Company installation utilizing a saline porous rock formation being developed near Bakersfield in Kern County, California. The goals of the project were to build and validate an advanced design (2009). The US Department of Energy provided $29.4 million in funding to conduct preliminary work on a 150 MW salt-based project being developed by
Iberdrola USA Avangrid, Inc. (formerly Energy East and Iberdrola USA), is an energy services and delivery company. AVANGRID serves about 3.1 million customers throughout New England, Pennsylvania and New York in the United States. History In 2008 Iberdrola S. ...
in Watkins Glen, New York. The goal is to incorporate smart grid technology to balance renewable
intermittent energy source Variable renewable energy (VRE) or intermittent renewable energy sources (IRES) are renewable energy sources that are not dispatchable due to their fluctuating nature, such as wind power and solar power, as opposed to controllable renewable ener ...
s (2010). General Compression completed construction of a 2 MW near-isothermal project in
Gaines County, Texas Gaines County is a county in the U.S. state of Texas. As of the 2020 census, its population was 21,598. The county seat is Seminole. History The county is named for James Gaines, a merchant who signed the Texas Declaration of Independence and ...
; the world's third project (2012). The project uses no fuel. It appears to have stopped operating in 2016. The first adiabatic project, a 200-megawatt facility called ADELE, was planned for construction in Germany (2013) with a target of 70% efficiency by using air at 100 bar presure. This project was delayed for undisclosed reasons until at least 2016. Storelectric Ltd planned to build a 40 MW 100% renewable energy pilot plant in Cheshire, UK, with 800 MWh storage capacity (2017). Hydrostor completed the first commercial A-CAES system in Goderich, Ontario, supplying service with 2.2MW / 10MWh storage to the Ontario Grid (2019). It was the first A-CAES system to achieve commercial operation in decades. The European Union-funded RICAS (adiabatic) project in Austria was to use crushed rock to store heat from the compression process to improve efficiency (2020). The system was expected to achieve 70-80% efficiency. Apex planned a plant for
Anderson County, Texas Anderson County is a county in the U.S. state of Texas. Located within East Texas, its county seat is Palestine. As of the 2020 United States census, the population of Anderson County was 57,922. Anderson County comprises the Palestine microp ...
, to go online in 2016. This project has been delayed and until at least 2020. Canadian company Hydrostor planned to build four Advance plants in Toronto, Goderich, Angas, and Rosamond (2020). Some included partial heat storage in water, improving efficiency to 65%. A 60 MW / 300 MWh facility with 60% efficiency opened in
Jiangsu Jiangsu (; ; pinyin: Jiāngsū, Postal romanization, alternatively romanized as Kiangsu or Chiangsu) is an Eastern China, eastern coastal Provinces of the People's Republic of China, province of the China, People's Republic of China. It is o ...
, China, using a salt cavern (2022). A 2.5 MW / 4 MWh compressed facility started operating in
Sardinia Sardinia ( ; it, Sardegna, label=Italian, Corsican and Tabarchino ; sc, Sardigna , sdc, Sardhigna; french: Sardaigne; sdn, Saldigna; ca, Sardenya, label=Algherese and Catalan) is the second-largest island in the Mediterranean Sea, after ...
, Italy (2022). As of 2022 the Gem project at Rosamond in
Kern County, California Kern County is a county (United States), county located in the U.S. state of California. As of the 2020 United States Census, 2020 census, the population was 909,235. Its county seat is Bakersfield, California, Bakersfield. Kern County comprise ...
was planned to provide 500 MW / 4,000 MWh of storage. The Pecho project in
San Luis Obispo, California San Luis Obispo (; Spanish for " St. Louis the Bishop", ; Chumash: ''tiłhini'') is a city and county seat of San Luis Obispo County, in the U.S. state of California. Located on the Central Coast of California, San Luis Obispo is roughly halfwa ...
was planned to be 400 MW / 3,200 MWh. The
Broken Hill Broken Hill is an inland mining city in the far west of outback New South Wales, Australia. It is near the border with South Australia on the crossing of the Barrier Highway (A32) and the Silver City Highway (B79), in the Barrier Range. It is ...
project in
New South Wales ) , nickname = , image_map = New South Wales in Australia.svg , map_caption = Location of New South Wales in AustraliaCoordinates: , subdivision_type = Country , subdivision_name = Australia , established_title = Before federation , es ...
, Australia was 200 MW / 1,600 MWh. In 2022
Zhangjiakou Zhangjiakou (; ; ) also known as Kalgan and by several other names, is a prefecture-level city in northwestern Hebei province in Northern China, bordering Beijing to the southeast, Inner Mongolia to the north and west, and Shanxi to the south ...
connected the world's first 100-MW "advanced" system to the grid in north China. It uses no fossil fuels, instead adopting supercritical thermal storage, supercritical heat exchange, high-load compression and expansion technologies. The plant can store 400 MWh, with 70.4% efficiency. A 350 MW / 1.4 GWh project started construction in Shangdong.


Storage thermodynamics

In order to achieve a near thermodynamically reversible process so that most of the energy is saved in the system and can be retrieved, and losses are kept negligible, a near reversible isothermal process or an isentropic process is desired.


Isothermal storage

In an
isothermal In thermodynamics, an isothermal process is a type of thermodynamic process in which the temperature ''T'' of a system remains constant: Δ''T'' = 0. This typically occurs when a system is in contact with an outside thermal reservoir, and ...
compression process, the gas in the system is kept at a constant temperature throughout. This necessarily requires an exchange of heat with the gas; otherwise, the temperature would rise during charging and drop during discharge. This heat exchange can be achieved by heat exchangers (intercooling) between subsequent stages in the compressor, regulator, and tank. To avoid wasted energy, the intercoolers must be optimized for high
heat transfer Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy (heat) between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, ...
and low-pressure drop. Smaller compressors can approximate isothermal compression even without intercooling, due to the relatively high ratio of surface area to volume of the compression chamber and the resulting improvement in heat dissipation from the compressor body itself. When one obtains perfect isothermal storage (and discharge), the process is said to be "reversible". This requires that the heat transfer between the surroundings and the gas occur over an infinitesimally small temperature difference. In that case, there is no
exergy In thermodynamics, the exergy of a system is the maximum useful work possible during a process that brings the system into equilibrium with a heat reservoir, reaching maximum entropy. When the surroundings are the reservoir, exergy is the pot ...
loss in the heat transfer process, and so the compression work can be completely recovered as expansion work: 100% storage efficiency. However, in practice, there is always a temperature difference in any heat transfer process, and so all practical energy storage obtains efficiencies lower than 100%. To estimate the compression/expansion work in an isothermal process, it may be assumed that the compressed air obeys the
ideal gas law The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stat ...
: : pV = nRT = \text. From a process from an initial state ''A'' to a final state ''B'', with
absolute temperature Thermodynamic temperature is a quantity defined in thermodynamics as distinct from kinetic theory or statistical mechanics. Historically, thermodynamic temperature was defined by Kelvin in terms of a macroscopic relation between thermodynamic wor ...
T = T_A = T_B constant, one finds the work required for compression (negative) or done by the expansion (positive), to be : \begin W_ & = \int_^ p \,dV = \int_^ \frac dV = nRT \int_^ \frac dV \\ & = nRT (\ln - \ln) = nRT \ln = p_A V_A \ln = p_B V_B \ln, \\ \end where pV = p_A V_A = p_B V_B, and so \frac = \frac. Here p is the absolute
pressure Pressure (symbol: ''p'' or ''P'') is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled ''gage'' pressure)The preferred spelling varies by country and e ...
, V_A is the (unknown)
volume Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). Th ...
of gas compressed, V_B is the volume of the vessel, n is the
amount of substance In chemistry, the amount of substance ''n'' in a given sample of matter is defined as the quantity or number of discrete atomic-scale particles in it divided by the Avogadro constant ''N''A. The particles or entities may be molecules, atoms, ions, ...
of gas (mol) and R is the ideal gas constant. If there is a constant pressure outside of the vessel, which is equal to the starting pressure p_A, the positive work of the outer pressure reduces the exploitable energy (negative value). This adds a term to the equation above: : W_ = p_A V_A \ln + (V_A - V_B) p_A = p_B V_B \ln + (p_B - p_A) V_B. ; Example How much energy can be stored in a 1 m3 storage vessel at a pressure of , if the ambient pressure is . In this case, the process work is : W = p_B V_B \ln\frac + (p_B - p_A) V_B = : = 7.0 MPa × 1 m3 × ln(0.1 MPa/7.0 MPa) + (7.0 MPa − 0.1 MPa) × 1 m3 = −22.8 MJ (equivalently 6.33 KWh). The negative sign means that work is done on the gas by the surroundings. Process irreversibilities (such as in heat transfer) will result in less energy being recovered from the expansion process than is required for the compression process. If the environment is at a constant temperature, for example, the thermal resistance in the intercoolers will mean that the compression occurs at a temperature somewhat higher than the ambient temperature, and the expansion will occur at a temperature somewhat lower than the ambient temperature. So a perfect isothermal storage system is impossible to achieve.


Adiabatic (isentropic) storage

An
adiabatic process In thermodynamics, an adiabatic process (Greek: ''adiábatos'', "impassable") is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic system and its environment. Unlike an isothermal process, ...
is one where there is no heat transfer between the fluid and the surroundings: the system is insulated against heat transfer. If the process is furthermore internally reversible (frictionless, to the ideal limit), then it will additionally be
isentropic In thermodynamics, an isentropic process is an idealized thermodynamic process that is both adiabatic and reversible. The work transfers of the system are frictionless, and there is no net transfer of heat or matter. Such an idealized process ...
. An adiabatic storage system does away with the intercooling during the compression process and simply allows the gas to heat up during compression and likewise cool down during expansion. This is attractive since the energy losses associated with the heat transfer are avoided, but the downside is that the storage vessel must be insulated against heat loss. It should also be mentioned that real compressors and turbines are not isentropic, but instead have an isentropic efficiency of around 85%. The result is that round-trip storage efficiency for adiabatic systems is also considerably less than perfect.


Large storage system thermodynamics

Energy storage systems often use large caverns. This is the preferred system design due to the very large volume and thus the large quantity of energy that can be stored with only a small pressure change. The gas is compressed adiabatically with little temperature change (approaching a reversible isothermal system) and heat loss (approaching an isentropic system). This advantage is in addition to the low cost of constructing the gas storage system, using the underground walls to assist in containing the pressure. The cavern space can be insulated to improve efficiency. Undersea insulated airbags that have similar thermodynamic properties to large cavern storage have been suggested.


Vehicle applications


Practical constraints in transportation

In order to use air storage in vehicles or aircraft for practical land or air transportation, the energy storage system must be compact and lightweight. Energy density and
specific energy Specific energy or massic energy is energy per unit mass. It is also sometimes called gravimetric energy density, which is not to be confused with energy density, which is defined as energy per unit volume. It is used to quantify, for example, sto ...
are the engineering terms that define these desired qualities.


Specific energy, energy density, and efficiency

As explained in the thermodynamics of the gas storage section above, compressing air heats it, and expanding it cools it. Therefore, practical air engines require heat exchangers in order to avoid excessively high or low temperatures, and even so don't reach ideal constant temperature conditions or ideal thermal insulation. Nevertheless, as stated above, it is useful to describe the maximum energy storable using the isothermal case, which works out to about 100 kJ/m3 nbsp;ln(''P''''A''/''P''''B'') Thus if 1.0 m3 of air from the atmosphere is very slowly compressed into a 5 L bottle at , the potential energy stored is 530 kJ. A highly efficient air motor can transfer this into kinetic energy if it runs very slowly and manages to expand the air from its initial 20 MPa pressure down to 100 kPa (bottle completely "empty" at atmospheric pressure). Achieving high efficiency is a technical challenge both due to heat loss to the ambient and to unrecoverable internal gas heat. If the bottle above is emptied to 1 MPa, the extractable energy is about 300 kJ at the motor shaft. A standard 20 MPa, 5 L steel bottle has a mass of 7.5 kg, a superior one 5 kg. High-tensile strength fibers such as
carbon fiber Carbon fiber-reinforced polymers (American English), carbon-fibre-reinforced polymers (Commonwealth English), carbon-fiber-reinforced plastics, carbon-fiber reinforced-thermoplastic (CFRP, CRP, CFRTP), also known as carbon fiber, carbon compo ...
or
Kevlar Kevlar (para-aramid) is a strong, heat-resistant synthetic fiber, related to other aramids such as Nomex and Technora. Developed by Stephanie Kwolek at DuPont in 1965, the high-strength material was first used commercially in the early 1970s a ...
can weigh below 2 kg in this size, consistent with the legal safety codes. One cubic meter of air at 20 °C has a mass of 1.204 kg at standard temperature and pressure. Thus, ''theoretical'' specific energies are from roughly 70 kJ/kg at the motor shaft for a plain steel bottle to 180 kJ/kg for an advanced fiber-wound one, whereas practical ''achievable'' specific energies for the same containers would be from 40 to 100 kJ/kg.


Safety

As with most technologies, compressed air has safety concerns, mainly catastrophic tank rupture. Safety regulations make this a rare occurrence at the cost of higher weight and additional safety features such as pressure relief valves. Regulations may limit the legal working pressure to less than 40% of the rupture pressure for steel bottles (
safety factor In engineering, a factor of safety (FoS), also known as (and used interchangeably with) safety factor (SF), expresses how much stronger a system is than it needs to be for an intended load. Safety factors are often calculated using detailed analy ...
of 2.5) and less than 20% for fiber-wound bottles (
safety factor In engineering, a factor of safety (FoS), also known as (and used interchangeably with) safety factor (SF), expresses how much stronger a system is than it needs to be for an intended load. Safety factors are often calculated using detailed analy ...
of 5). Commercial designs adopt the
ISO 11439 Compressed natural gas (CNG) is a fuel gas mainly composed of methane (CH4), compressed to less than 1% of the volume it occupies at standard atmospheric pressure. It is stored and distributed in hard containers at a pressure of , usually in cy ...
standard. High-pressure bottles are fairly strong so that they generally do not rupture in vehicle crashes.


Comparison with batteries

Advanced fiber-reinforced bottles are comparable to the
rechargeable A rechargeable battery, storage battery, or secondary cell (formally a type of energy accumulator), is a type of electrical battery which can be charged, discharged into a load, and recharged many times, as opposed to a disposable or prim ...
lead–acid battery The lead–acid battery is a type of rechargeable battery first invented in 1859 by French physicist Gaston Planté. It is the first type of rechargeable battery ever created. Compared to modern rechargeable batteries, lead–acid batteries have ...
in terms of energy density. Batteries provide nearly constant voltage over their entire charge level, whereas the pressure varies greatly while using a pressure vessel from full to empty. It is technically challenging to design air engines to maintain high efficiency and sufficient power over a wide range of pressures. Compressed air can transfer power at very high flux rates, which meets the principal acceleration and deceleration objectives of transportation systems, particularly for
hybrid vehicles A hybrid vehicle is one that uses two or more distinct types of power, such as submarines that use diesel when surfaced and batteries when submerged. Other means to store energy include pressurized fluid in hydraulic hybrids. The basic princip ...
. Compressed air systems have advantages over conventional batteries, including longer lifetimes of pressure vessels and lower material toxicity. Newer battery designs such as those based on
lithium iron phosphate Lithium iron phosphate or lithium ferro-phosphate (LFP) is an inorganic compound with the formula . It is a gray, red-grey, brown or black solid that is insoluble in water. The material has attracted attention as a component of lithium iron phosp ...
chemistry suffer from neither of these problems. Compressed air costs are potentially lower; however, advanced pressure vessels are costly to develop, and safety-test and at present are more expensive than mass-produced batteries. As with electric storage technology, compressed air is only as "clean" as the source of the energy that it stores.
Life cycle assessment Life cycle assessment or LCA (also known as life cycle analysis) is a methodology for assessing environmental impacts associated with all the stages of the life cycle of a commercial product, process, or service. For instance, in the case o ...
addresses the question of overall emissions from a given energy storage technology combined with a given mix of generation on a power grid.


Engine

A pneumatic motor or compressed-air engine uses the expansion of compressed air to drive the pistons of an engine, turn the
axle An axle or axletree is a central shaft for a rotating wheel or gear. On wheeled vehicles, the axle may be fixed to the wheels, rotating with them, or fixed to the vehicle, with the wheels rotating around the axle. In the former case, bearing ...
, or to drive a
turbine A turbine ( or ) (from the Greek , ''tyrbē'', or Latin ''turbo'', meaning vortex) is a rotary mechanical device that extracts energy from a fluid flow and converts it into useful work. The work produced by a turbine can be used for generating ...
. The following methods can increase efficiency: * A continuous expansion turbine at high efficiency * Multiple expansion stages * Use of waste heat, notably in a hybrid
heat engine In thermodynamics and engineering, a heat engine is a system that converts heat to mechanical energy, which can then be used to do mechanical work. It does this by bringing a working substance from a higher state temperature to a lower state ...
design * Use of environmental heat A highly efficient arrangement uses high, medium and low pressure pistons in series, with each stage followed by an airblast venturi that draws ambient air over an air-to-air
heat exchanger A heat exchanger is a system used to transfer heat between a source and a working fluid. Heat exchangers are used in both cooling and heating processes. The fluids may be separated by a solid wall to prevent mixing or they may be in direct contac ...
. This warms the exhaust of the preceding stage and admits this preheated air to the following stage. The only exhaust gas from each stage is cold air which can be as cold as ; the cold air may be used for
air conditioning Air conditioning, often abbreviated as A/C or AC, is the process of removing heat from an enclosed space to achieve a more comfortable interior environment (sometimes referred to as 'comfort cooling') and in some cases also strictly controlling ...
in a car. Additional heat can be supplied by burning fuel as in 1904 for the
Whitehead torpedo The Whitehead torpedo was the first self-propelled or "locomotive" torpedo ever developed. It was perfected in 1866 by Robert Whitehead from a rough design conceived by Giovanni Luppis of the Austro-Hungarian Navy in Fiume. It was driven by a t ...
. This improves the range and speed available for a given tank volume at the cost of the additional fuel.


Cars

Since about 1990 several companies have claimed to be developing compressed air cars, but none is available. Typically the main claimed advantages are: no roadside pollution, low cost, use of cooking oil for
lubrication Lubrication is the process or technique of using a lubricant to reduce friction and wear and tear in a contact between two surfaces. The study of lubrication is a discipline in the field of tribology. Lubrication mechanisms such as fluid-lubric ...
, and integrated air conditioning. The time required to refill a depleted tank is important for vehicle applications. "Volume transfer" moves pre-compressed air from a stationary tank to the vehicle tank almost instantaneously. Alternatively, a stationary or on-board compressor can compress air on demand, possibly requiring several hours.


Ships

Large
marine diesel engine Marine propulsion is the mechanism or system used to generate thrust to move a watercraft through water. While paddles and sails are still used on some smaller boats, most modern ships are propelled by mechanical systems consisting of an electr ...
s are started using compressed air, typically stored in large bottles between 20 and 30 bar, acting directly on the pistons via special starting valves to turn the crankshaft prior to beginning fuel injection. This arrangement is more compact and cheaper than an electric starter motor would be at such scales and able to supply the necessary burst of extremely high power without placing a prohibitive load on the ship's electrical generators and distribution system. Compressed air is commonly also used, at lower pressures, to control the engine and act as the spring force acting on the cylinder exhaust valves, and to operate other auxiliary systems and power tools on board, sometimes including pneumatic
PID controller A proportional–integral–derivative controller (PID controller or three-term controller) is a control loop mechanism employing feedback that is widely used in industrial control systems and a variety of other applications requiring continuou ...
s. One advantage of this approach is that in the event of an electrical blackout, ship systems powered by stored compressed air can continue functioning uninterrupted, and generators can be restarted without an electrical supply. Another is that pneumatic tools can be used in commonly wet environments without the risk of electric shock.


Hybrid vehicles

While the air storage system offers a relatively low power density and vehicle range, its high efficiency is attractive for hybrid vehicles that use a conventional internal combustion engine as the main power source. The air storage can be used for
regenerative braking Regenerative braking is an energy recovery mechanism that slows down a moving vehicle or object by converting its kinetic energy into a form that can be either used immediately or stored until needed. In this mechanism, the electric traction mo ...
and to optimize the cycle of the piston engine, which is not equally efficient at all power/RPM levels. Bosch and
PSA Peugeot Citroën The PSA Group (), legally known as Peugeot S.A. (Peugeot Société Anonyme, trading as Groupe PSA; formerly known as PSA Peugeot Citroën from 1991 to 2016) was a French multinational automotive manufacturing company which produced automobiles ...
have developed a hybrid system that uses hydraulics as a way to transfer energy to and from a compressed nitrogen tank. An up to 45% reduction in fuel consumption is claimed, corresponding to 2.9l/100 km (81 mpg, 69 g /km) on the
New European Driving Cycle The New European Driving Cycle (NEDC) was a driving cycle, last updated in 1997, designed to assess the emission levels of car engines and fuel economy in passenger cars (which excludes light trucks and commercial vehicles). It is also refer ...
(NEDC) for a compact frame like Peugeot 208. The system is claimed to be much more affordable than competing electric and flywheel KERS systems and is expected on road cars by 2016.


History of air engines

Air engines have been used since the 19th century to power
mine Mine, mines, miners or mining may refer to: Extraction or digging * Miner, a person engaged in mining or digging *Mining, extraction of mineral resources from the ground through a mine Grammar *Mine, a first-person English possessive pronoun ...
locomotives A locomotive or engine is a rail transport vehicle that provides the motive power for a train. If a locomotive is capable of carrying a payload, it is usually rather referred to as a multiple unit, motor coach, railcar or power car; the ...
, pumps, drills and trams, via centralized, city-level distribution.
Racecar Auto racing (also known as car racing, motor racing, or automobile racing) is a motorsport involving the racing of automobiles for competition. Auto racing has existed since the invention of the automobile. Races of various sorts were organise ...
s use compressed air to start their
internal combustion engine An internal combustion engine (ICE or IC engine) is a heat engine in which the combustion of a fuel occurs with an oxidizer (usually air) in a combustion chamber that is an integral part of the working fluid flow circuit. In an internal combus ...
(ICE), and large
Diesel engine The diesel engine, named after Rudolf Diesel, is an internal combustion engine in which ignition of the fuel is caused by the elevated temperature of the air in the cylinder due to mechanical compression; thus, the diesel engine is a so-call ...
s may have starting
pneumatic motor A pneumatic motor (air motor), or compressed air engine, is a type of motor which does mechanical work by expanding compressed air. Pneumatic motors generally convert the compressed air energy to mechanical work through either linear or rotary m ...
s.


Types of systems


Hybrid systems

Brayton cycle The Brayton cycle is a thermodynamic cycle that describes the operation of certain heat engines that have air or some other gas as their working fluid. The original Brayton engines used a piston compressor and piston expander, but modern gas tu ...
engines compress and heat air with a fuel suitable for an
internal combustion engine An internal combustion engine (ICE or IC engine) is a heat engine in which the combustion of a fuel occurs with an oxidizer (usually air) in a combustion chamber that is an integral part of the working fluid flow circuit. In an internal combus ...
. For example, natural gas or
biogas Biogas is a mixture of gases, primarily consisting of methane, carbon dioxide and hydrogen sulphide, produced from raw materials such as agricultural waste, manure, municipal waste, plant material, sewage, green waste and food waste. It is a ...
heat compressed air, and then a conventional
gas turbine A gas turbine, also called a combustion turbine, is a type of continuous flow internal combustion engine. The main parts common to all gas turbine engines form the power-producing part (known as the gas generator or core) and are, in the directio ...
engine or the rear portion of a
jet engine A jet engine is a type of reaction engine discharging a fast-moving jet of heated gas (usually air) that generates thrust by jet propulsion. While this broad definition can include rocket, Pump-jet, water jet, and hybrid propulsion, the term ...
expands it to produce work.
Compressed air engine A pneumatic motor (air motor), or compressed air engine, is a type of motor which does mechanical work by expanding compressed air. Pneumatic motors generally convert the compressed air energy to mechanical work through either linear or rotary ...
s can recharge an electric battery. The apparently defunct Energine promoted its Pne-PHEV or Pneumatic Plug-in Hybrid Electric Vehicle-system.


Existing hybrid systems

Huntorf, Germany in 1978, and
McIntosh, Alabama McIntosh is a town located in Washington County, Alabama, United States along U.S. Route 43. It is south of Wagarville and north of Mobile. It was named for William McIntosh, a prominent Creek chief of the nineteenth century. The town was inc ...
, U.S. in 1991 commissioned hybrid power plants. Both systems use off-peak energy for air compression and burn natural gas in the compressed air during the power generating phase.


Future hybrid systems

The Iowa Stored Energy Park (ISEP) will use
aquifer An aquifer is an underground layer of water-bearing, permeable rock, rock fractures, or unconsolidated materials (gravel, sand, or silt). Groundwater from aquifers can be extracted using a water well. Aquifers vary greatly in their characterist ...
storage rather than cavern storage. The displacement of water in the aquifer results in the regulation of the air pressure by the constant hydrostatic pressure of the water. A spokesperson for ISEP claims, "you can optimize your equipment for better efficiency if you have constant pressure." The power output of the McIntosh and Iowa systems is in the range of 2–300 MW. Additional facilities are under development in
Norton, Ohio Norton is a city in the U.S. state of Ohio. The population was 12,085 at the 2010 census and 11,996 at the 2019 estimate. All but a small portion of the city is in Summit County and is part of the Akron metropolitan area; a part extends into ...
. FirstEnergy, an Akron, Ohio electric utility, obtained development rights to the 2,700 MW Norton project in November 2009. The RICAS2020 project attempts to use an abandoned mine for adiabatic CAES with heat recovery. The compression heat is stored in a tunnel section filled with loose stones, so the compressed air is nearly cool when entering the main pressure storage chamber. The cool compressed air regains the heat stored in the stones when released back through a surface turbine, leading to higher overall efficiency. A two-stage process has theoretical higher efficiency of around 70%.


Lake or ocean storage

Deep water in lakes and the ocean can provide pressure without requiring high-pressure vessels or drilling into salt caverns or aquifers. The air goes into inexpensive, flexible containers such as plastic bags below in deep lakes or off sea coasts with steep drop-offs. Obstacles include the limited number of suitable locations and the need for high-pressure pipelines between the surface and the containers. Since the containers would be very inexpensive, the need for great pressure (and great depth) may not be as important. A key benefit of systems built on this concept is that charge and discharge pressures are a constant function of depth. Carnot inefficiencies can thereby be reduced in the power plant. Carnot efficiency can be increased by using multiple charge and discharge stages and using inexpensive heat sources and sinks such as cold water from rivers or hot water from
solar pond A solar pond is a pool of saltwater which collects and stores solar thermal energy. The saltwater naturally forms a vertical salinity gradient also known as a "halocline", in which low-salinity water floats on top of high-salinity water. The ...
s. Ideally, the system must be very clever — for example, by cooling air before pumping on summer days. A nearly
isobaric Isobar may refer to: * Isobar (meteorology), a line connecting points of equal atmospheric pressure reduced to sea level on the maps. * Isobaric process In thermodynamics, an isobaric process is a type of thermodynamic process in which the pr ...
solution is possible if the compressed gas is used to drive a hydroelectric system. However, this solution requires large pressure tanks located on land (as well as underwater airbags). Also, hydrogen gas is the preferred fluid since other gases suffer from substantial hydrostatic pressures at even relatively modest depths (such as 500 meters). The European electrical utility company E.ON has provided €1.4 million (£1.1 million) in funding to develop undersea air storage bags. Hydrostor in Canada is developing a commercial system of underwater storage "accumulators" for compressed air energy storage, starting at the 1 to 4 MW scale. There is a plan for some type of compressed air energy storage in undersea caves in Northern Ireland.


Nearly isothermal compression

A number of methods of nearly isothermal compression are being developed. Fluid Mechanics has a system with a heat absorbing and releasing structure (HARS) attached to a reciprocating piston. Light Sail injects a water spray into a reciprocating cylinder. SustainX uses an air-water foam mix inside a semi-custom, 120 rpm compressor/expander. All these systems ensure that the air is compressed with high
thermal diffusivity In heat transfer analysis, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat of a material from the hot end to the cold end. It has the SI ...
compared to the speed of compression. Typically these compressors can run at speeds up to 1000 rpm. To ensure high thermal diffusivity, the average distance a gas molecule is from a heat-absorbing surface is about 0.5 mm. These nearly isothermal compressors can also be used as nearly isothermal expanders and are being developed to improve the round-trip efficiency of CAES.


See also

*
Alternative fuel vehicle An alternative fuel vehicle is a motor vehicle that runs on alternative fuel rather than traditional petroleum fuels (petrol or petrodiesel). The term also refers to any technology (e.g. electric car, hybrid electric vehicles, solar-powered ...
*
Fireless locomotive A fireless locomotive is a type of locomotive which uses reciprocating engines powered from a reservoir of compressed air or steam, which is filled at intervals from an external source. They offer advantages over conventional steam locomotives of ...
* Grid energy storage *
Hydraulic accumulator A hydraulic accumulator is a pressure storage reservoir in which an incompressible hydraulic fluid is held under pressure that is applied by an external source of mechanical energy. The external source can be an engine, a spring, a raised weight ...
*
List of energy storage power plants This is a list of energy storage power plants worldwide, other than pumped hydro storage. Many individual energy storage plants augment electrical grids by capturing excess electrical energy during periods of low demand and storing it in oth ...
*
Pneumatics Pneumatics (from Greek ‘wind, breath’) is a branch of engineering that makes use of gas or pressurized air. Pneumatic systems used in industry are commonly powered by compressed air or compressed inert gases. A centrally located and elec ...
*
Zero-emissions vehicle A zero-emission vehicle, or ZEV, is a vehicle that does not emit exhaust gas or other pollutants from the onboard source of power. The California definition also adds that this includes under any and all possible operational modes and conditions ...
*
Cryogenic energy storage Cryogenic energy storage (CES) is the use of low temperature (cryogenic) liquids such as liquid air or liquid nitrogen to store energy. The technology is primarily used for the large-scale storage of electricity. Following grid-scale demonstrator ...


References


External links

* Compressed Air System of Paris – technical note
Part 1
(Special supplement, Scientific American, 1921)

(
Sandia National Labs Sandia National Laboratories (SNL), also known as Sandia, is one of three research and development laboratories of the United States Department of Energy's National Nuclear Security Administration (NNSA). Headquartered in Kirtland Air Force B ...
, DoE). * MSNBC article
Cities to Store Wind Power for Later Use
January 4, 2006
Power storage: Trapped wind


* ttps://query.nytimes.com/gst/fullpage.html?res=9D0CEEDE103DF93AA1575AC0A967958260&sec=&spon=&pagewanted=print New York Times Article: Technology; Using Compressed Air To Store Up Electricity
Compressed Air Energy Storage, Entropy and Efficiency
{{DEFAULTSORT:Compressed-Air Energy Storage Energy storage *