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Energy return on investment

In energy economics and ecological energetics, energy return on investment (EROI), also sometimes called energy returned on energy invested (ERoEI), is the ratio of the amount of usable energy (the exergy) delivered from a particular energy resource to the amount of exergy used to obtain that energy resource.[1]

Arithmetically the EROI can be defined as:

.[2]

When the EROI of a source of energy is less than or equal to one, that energy source becomes a net "energy sink", and can no longer be used as a source of energy. A related measure, called energy stored on energy invested (ESOEI), is used to analyse storage systems.[3][4]

To be considered viable as a prominent fuel or energy source a fuel or energy must have an EROI ratio of at least 3:1.[5][2]

History

The energy analysis field of study is credited with being popularized by Charles A. S. Hall, a Systems ecology and biophysical economics professor at the State University of New York. Hall applied the biological methodology, developed at an Ecosystems Marine Biological Laboratory, and then adapted that method to research human industrial civilization. The concept would have its greatest exposure in 1984, with a paper by Hall that appeared on the cover of the journal Science.[6][7]

Application to various technologies

Photovoltaic

Global PV market by technology in 2013.[8]: 18, 19 

  multi-Si (54.9%)
  mono-Si (36.0%)
  CdTe (5.1%)
  a-Si (2.0%)
  CIGS (2.0%)

The issue is still subject of numerous studies, and prompting academic argument. That's mainly because the "energy invested" critically depends on technology, methodology, and system boundary assumptions, resulting in a range from a maximum of 2000 kWh/m2 of module area down to a minimum of 300 kWh/m2 with a median value of 585 kWh/m2 according to a meta-study from 2013.[9]

Regarding output, it obviously depends on the local insolation, not just the system itself, so assumptions have to be made.

Some studies (see below) include in their analysis that photovoltaic produce electricity, while the invested energy may be lower grade primary energy.

A 2015 review in Renewable and Sustainable Energy Reviews assessed the energy payback time and EROI of a variety of PV module technologies. In this study, which uses an insolation of 1700 kWh/m2/yr and a system lifetime of 30 years, mean harmonized EROIs between 8.7 and 34.2 were found. Mean harmonized energy payback time varied from 1.0 to 4.1 years.[10][better source needed] In 2021, the Fraunhofer Institute for Solar Energy Systems calculated an energy payback time of around 1 year for European PV installations (0.9 years for Catania in Southern Italy, 1.1 years for Brussels) with wafer-based silicon PERC cells.[11]

Wind turbines

In the scientific literature EROIs wind turbines is around 16 unbuffered and 4 buffered.[12] Data collected in 2018 found that the EROI of operational wind turbines averaged 19.8 with high variability depending on wind conditions and wind turbine size.[13] EROIs tend to be higher for recent wind turbines compared to older technology wind turbines. Vestas reports an EROI of 31 for its V150 model wind turbine.[14]

Oil sands

Because much of the energy required for producing oil from oil sands (bitumen) comes from low value fractions separated out by the upgrading process, there are two ways to calculate EROI, the higher value given by considering only the external energy inputs and the lower by considering all energy inputs, including self generated. One study found that in 1970 oil sands net energy returns was about 1.0 but by 2010 had increased to about 5.23.[15][clarification needed]

Conventional oil

Conventional sources of oil have a rather large variation depending on various geologic factors. The EROI for refined fuel from conventional oil sources varies from around 18 to 43.[16]

Shale oil

Due to the process heat input requirements for shale oil harvesting, the EROI is much lower than for conventional oil sources. Typically natural gas is used, either directly combusted for process heat or used to power an electricity generating turbine, which then uses electrical heating elements to heat the underground layers of shale to produce oil from the kerogen. Resulting EROI is typically around 1.4-1.5.[16] Economically, oil shale might be viable due to the effectively free natural gas on site used for heating the kerogen, but opponents have debated that the natural gas could be extracted directly and used for relatively inexpensive transportation fuel rather than heating shale for a lower EROI and higher carbon emissions.

Oil liquids

The weighted average standard EROI of all oil liquids (including coal-to-liquids, gas-to-liquids, biofuels, etc.) is expected to decrease from 44.4 in 1950 to a plateau of 6.7 in 2050.[17]

Natural gas

The standard EROI for natural gas is estimated to decrease from 141.5 in 1950 to an apparent plateau of 16.8 in 2050.[18]

Non-manmade energy inputs

The natural or primary energy sources are not included in the calculation of energy invested, only the human-applied sources. For example, in the case of biofuels the solar insolation driving photosynthesis is not included, and the energy used in the stellar synthesis of fissile elements is not included for nuclear fission. The energy returned includes only human usable energy and not wastes such as waste heat.

Nevertheless, heat of any form can be counted where it is actually used for heating. However the use of waste heat in district heating and water desalination in cogeneration plants is rare, and in practice it is often excluded in EROI analysis of energy sources.[clarification needed]

Competing methodology

In a 2010 paper by Murphy and Hall, the advised extended ["Ext"] boundary protocol, for all future research on EROI, was detailed. In order to produce, what they consider, a more realistic assessment and generate greater consistency in comparisons, than what Hall and others view as the "weak points" in a competing methodology.[19] In more recent years, however, a source of continued controversy is the creation of a different methodology endorsed by certain members of the IEA which for example most notably in the case of photovoltaic solar panels, controversially generates more favorable values.[20][21]

In the case of photovoltaic solar panels, the IEA method tends to focus on the energy used in the factory process alone. In 2016, Hall observed that much of the published work in this field is produced by advocates or persons with a connection to business interests among the competing technologies, and that government agencies had not yet provided adequate funding for rigorous analysis by more neutral observers.[22][23]

Relationship to net energy gain

EROI and Net energy (gain) measure the same quality of an energy source or sink in numerically different ways. Net energy describes the amounts, while EROI measures the ratio or efficiency of the process. They are related simply by

 

or

 

For example, given a process with an EROI of 5, expending 1 unit of energy yields a net energy gain of 4 units. The break-even point happens with an EROI of 1 or a net energy gain of 0. The time to reach this break-even point is called energy payback period (EPP) or energy payback time (EPBT).[24][25]

Economic influence

Although many qualities of an energy source matter (for example oil is energy-dense and transportable, while wind is variable), when the EROI of the main sources of energy for an economy fall that energy becomes more difficult to obtain and its relative price may increase.

In regard to fossil fuels, when oil was originally discovered, it took on average one barrel of oil to find, extract, and process about 100 barrels of oil. The ratio, for discovery of fossil fuels in the United States, has declined steadily over the last century from about 1000:1 in 1919 to only 5:1 in the 2010s.[2]

Since the invention of agriculture, humans have increasingly used exogenous sources of energy to multiply human muscle-power. Some historians have attributed this largely to more easily exploited (i.e. higher EROI) energy sources, which is related to the concept of energy slaves. Thomas Homer-Dixon[26] argues that a falling EROI in the Later Roman Empire was one of the reasons for the collapse of the Western Empire in the fifth century CE. In "The Upside of Down" he suggests that EROI analysis provides a basis for the analysis of the rise and fall of civilisations. Looking at the maximum extent of the Roman Empire, (60 million) and its technological base the agrarian base of Rome was about 1:12 per hectare for wheat and 1:27 for alfalfa (giving a 1:2.7 production for oxen). One can then use this to calculate the population of the Roman Empire required at its height, on the basis of about 2,500–3,000 calories per day per person. It comes out roughly equal to the area of food production at its height. But ecological damage (deforestation, soil fertility loss particularly in southern Spain, southern Italy, Sicily and especially north Africa) saw a collapse in the system beginning in the 2nd century, as EROI began to fall. It bottomed in 1084 when Rome's population, which had peaked under Trajan at 1.5 million, was only 15,000.

Evidence also fits the cycle of Mayan and Cambodian collapse too. Joseph Tainter[27] suggests that diminishing returns of the EROI is a chief cause of the collapse of complex societies, which has been suggested as caused by peak wood in early societies. Falling EROI due to depletion of high quality fossil fuel resources also poses a difficult challenge for industrial economies, and could potentially lead to declining economic output and challenge the concept (which is very recent when considered from a historical perspective) of perpetual economic growth.[28]

Criticism of EROI

 
Measuring energy output is a solved problem; measuring the input remains highly debated.

EROI is calculated by dividing the energy output by the energy input. Measuring total energy output is often easy, especially in the case for an electrical output where some appropriate electricity meter can be used. However, researchers disagree on how to determine energy input accurately and therefore arrive at different numbers for the same source of energy.[29]

How deep should the probing in the supply chain of the tools being used to generate energy go? For example, if steel is being used to drill for oil or construct a nuclear power plant, should the energy input of the steel be taken into account? Should the energy input into building the factory being used to construct the steel be taken into account and amortized? Should the energy input of the roads which are used to ferry the goods be taken into account? What about the energy used to cook the steelworkers' breakfasts? These are complex questions evading simple answers.[30] A full accounting would require considerations of opportunity costs and comparing total energy expenditures in the presence and absence of this economic activity.

However, when comparing two energy sources a standard practice for the supply chain energy input can be adopted. For example, consider the steel, but don't consider the energy invested in factories deeper than the first level in the supply chain. It is in part for these fully encompassed systems reasons, that in the conclusions of Murphy and Hall's paper in 2010, an EROI of 5 by their extended methodology is considered necessary to reach the minimum threshold of sustainability,[19] while a value of 12-13 by Hall's methodology is considered the minimum value necessary for technological progress and a society supporting high art.[20][21]

Richards and Watt propose an Energy Yield Ratio for photovoltaic systems as an alternative to EROI (which they refer to as Energy Return Factor). The difference is that it uses the design lifetime of the system, which is known in advance, rather than the actual lifetime. This also means that it can be adapted to multi-component systems where the components have different lifetimes.[31]

Another issue with EROI that many studies attempt to tackle is that the energy returned can be in different forms, and these forms can have different utility. For example, electricity can be converted more efficiently than thermal energy into motion, due to electricity's lower entropy. In addition, the form of energy of the input can be completely different from the output. For example, energy in the form of coal could be used in the production of ethanol. This might have an EROI of less than one, but could still be desirable due to the benefits of liquid fuels (assuming the latters are not used in the processes of extraction and transformation).

Additional EROI calculations

There are three prominent expanded EROI calculations, they are point of use, extended and societal. Point of Use EROI expands the calculation to include the cost of refining and transporting the fuel during the refining process. Since this expands the bounds of the calculation to include more production process EROI will decrease.[2] Extended EROI includes point of use expansions as well as including the cost of creating the infrastructure needed for transportation of the energy or fuel once refined.[32] Societal EROI is a sum of all the EROIs of all the fuels used in a society or nation. A societal EROI has never been calculated and researchers believe it may currently be impossible to know all variables necessary to complete the calculation, but attempted estimates have been made for some nations. Calculations are done by summing all of the EROIs for domestically produced and imported fuels and comparing the result to the Human Development Index (HDI), a tool often used to understand well-being in a society.[33] According to this calculation, the amount of energy a society has available to them increases the quality of life for the people living in that country, and countries with less energy available also have a harder time satisfying citizens' basic needs.[34] This is to say that societal EROI and overall quality of life are very closely linked.

EROI and payback periods of some types of power plants

The following table is a compilation of sources of energy from German Wikipedia. The minimum requirement is a breakdown of the cumulative energy expenses according to material data. Frequently in literature harvest factors are reported, for which the origin of the values is not completely transparent. These are not included in this table.

The bold numbers are those given in the respective literature source, the normal printed ones are derived (see Mathematical Description).

Type EROI Amortization period Amortization period compared to an 'ideal' power station
EROI Amortization period
Nuclear power (a)
Pressurized water reactor, 100% Centrifuge enrichment [de][35] 106 2 Months[failed verification] 315[failed verification] 17 Days[failed verification]
Pressurized water reactor, 83% Centrifuge enrichment [de][35] 75 2 Months[failed verification] 220[failed verification] 17 Days[failed verification]
Fossil energy (a)
Brown coal, Open-cast[35] 31 2 Months[failed verification] 90[failed verification] 23 Days[failed verification]
Black coal, underground mining without coal transportation[35] 29 2 Months[failed verification] 84[failed verification] 19 Days[failed verification]
Gas (CCGT), Natural gas[35] 28 9 Days[failed verification] 81[failed verification] 3 Days[failed verification]
Gas (CCGT), Bio gas[35] 3.5 12 Days[failed verification] 10[failed verification] 3 Days[failed verification]
Hydropower
River hydroelectric[35] 50 1 Year[failed verification] 150[failed verification] 8 Months[failed verification]
Solar thermal (b)
Desert, parabolic troughs + phenyl compounds medium[35] 21 1.1 Years[failed verification] 62[failed verification] 4 Months[failed verification]
Wind energy (b)
1,5 MW (E-66 [de]), 2000 Full load hours VLh [de] (German coast)[35] 16 1.2 Years[failed verification] 48[failed verification] 5 Months[failed verification]
1,5 MW (E-66 [de]), 2700 Full load hours VLh [de] (German coast), shore)[36] 21[failed verification] 0.9 Years[failed verification] 63[failed verification] 3.7 Months[failed verification]
2,3 MW (E-82 [de]), 3200 Full load hours VLh [de] (German coast), shore)[37][38] (c) 51[failed verification] 4.7 Months[failed verification] 150[failed verification] 1.6 Months[failed verification]
200 MW park (5 MW installation), 4400 Full load hours VLh [de] (offshore)[39] 16 1.2 Years[failed verification] 48[failed verification] 5 Months[failed verification]
Photovoltaics (b)
Poly-silicon, roof installation, 1000 Full load hours VLh [de] (South Germany)[35] 4.0 6 Years[failed verification] 12[failed verification] 2 Years[failed verification]
Poly-silicon, roof installation, 1800 Full load hours VLh [de] (South Europe)[40] 7.0 3.3 Years[failed verification] 21[failed verification] 1.1 Years[failed verification]
(a) The cost of fuel transportation is taken into account
(b) The values refer to the total energy output. The expense for storage power plants, seasonal reserves or conventional load balancing power plants is not taken into account.
(c) The data for the E-82 come from the manufacturer, but are confirmed by TÜV Rheinland.[citation needed]

ESOEI

ESOEI (or ESOIe) is used when EROI is below 1. "ESOIe is the ratio of electrical energy stored over the lifetime of a storage device to the amount of embodied electrical energy required to build the device."[4]

One of the notable outcomes of the Stanford University team's assessment on ESOI, was that if pumped storage was not available, the combination of wind energy and the commonly suggested pairing with battery technology as it presently exists, would not be sufficiently worth the investment, suggesting instead curtailment.[41]

EROI under rapid growth

A related recent concern is energy cannibalism where energy technologies can have a limited growth rate if climate neutrality is demanded. Many energy technologies are capable of replacing significant volumes of fossil fuels and concomitant green house gas emissions. Unfortunately, neither the enormous scale of the current fossil fuel energy system nor the necessary growth rate of these technologies is well understood within the limits imposed by the net energy produced for a growing industry. This technical limitation is known as energy cannibalism and refers to an effect where rapid growth of an entire energy producing or energy efficiency industry creates a need for energy that uses (or cannibalizes) the energy of existing power plants or production plants.[42]

The solar breeder overcomes some of these problems. A solar breeder is a photovoltaic panel manufacturing plant which can be made energy-independent by using energy derived from its own roof using its own panels. Such a plant becomes not only energy self-sufficient but a major supplier of new energy, hence the name solar breeder. Research on the concept was conducted by Centre for Photovoltaic Engineering, University of New South Wales, Australia.[43][44] The reported investigation establishes certain mathematical relationships for the solar breeder which clearly indicate that a vast amount of net energy is available from such a plant for the indefinite future.[45] The solar module processing plant at Frederick, Maryland[46] was originally planned as such a solar breeder. In 2009 the Sahara Solar Breeder Project was proposed by the Science Council of Japan as a cooperation between Japan and Algeria with the highly ambitious goal of creating hundreds of GW of capacity within 30 years.[47] Theoretically breeders of any kind can be developed. In practice, nuclear breeder reactors are the only large scale breeders that have been constructed as of 2014, with the 600 MWe BN-600 and 800 MWe BN-800 reactor, the two largest in operation.

See also

References

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External links

  • World-Nuclear.org, World Nuclear Association study on EROI with assumptions listed.
  • , Wayback Archive of OilAnalytics.org, "EROI as a Measure of Energy Availability"
  • EOearth.org, Energy return on investment (EROI)
  • EOearth.org, Net energy analysis
  • , Essay on H2-PV Breeder Synergies

energy, return, investment, confused, with, energy, gain, energy, economics, ecological, energetics, energy, return, investment, eroi, also, sometimes, called, energy, returned, energy, invested, eroei, ratio, amount, usable, energy, exergy, delivered, from, p. Not to be confused with Net energy gain In energy economics and ecological energetics energy return on investment EROI also sometimes called energy returned on energy invested ERoEI is the ratio of the amount of usable energy the exergy delivered from a particular energy resource to the amount of exergy used to obtain that energy resource 1 Arithmetically the EROI can be defined as E R O I Energy Delivered Energy Required to Deliver that Energy displaystyle EROI frac hbox Energy Delivered hbox Energy Required to Deliver that Energy 2 When the EROI of a source of energy is less than or equal to one that energy source becomes a net energy sink and can no longer be used as a source of energy A related measure called energy stored on energy invested ESOEI is used to analyse storage systems 3 4 To be considered viable as a prominent fuel or energy source a fuel or energy must have an EROI ratio of at least 3 1 5 2 Contents 1 History 2 Application to various technologies 2 1 Photovoltaic 2 2 Wind turbines 2 3 Oil sands 2 4 Conventional oil 2 5 Shale oil 2 6 Oil liquids 2 7 Natural gas 3 Non manmade energy inputs 4 Competing methodology 5 Relationship to net energy gain 6 Economic influence 7 Criticism of EROI 8 Additional EROI calculations 9 EROI and payback periods of some types of power plants 10 ESOEI 11 EROI under rapid growth 12 See also 13 References 14 External linksHistory EditSee also Ecological economics The energy analysis field of study is credited with being popularized by Charles A S Hall a Systems ecology and biophysical economics professor at the State University of New York Hall applied the biological methodology developed at an Ecosystems Marine Biological Laboratory and then adapted that method to research human industrial civilization The concept would have its greatest exposure in 1984 with a paper by Hall that appeared on the cover of the journal Science 6 7 Application to various technologies EditPhotovoltaic Edit See also Cadmium telluride photovoltaics Global PV market by technology in 2013 8 18 19 multi Si 54 9 mono Si 36 0 CdTe 5 1 a Si 2 0 CIGS 2 0 The issue is still subject of numerous studies and prompting academic argument That s mainly because the energy invested critically depends on technology methodology and system boundary assumptions resulting in a range from a maximum of 2000 kWh m2 of module area down to a minimum of 300 kWh m2 with a median value of 585 kWh m2 according to a meta study from 2013 9 Regarding output it obviously depends on the local insolation not just the system itself so assumptions have to be made Some studies see below include in their analysis that photovoltaic produce electricity while the invested energy may be lower grade primary energy A 2015 review in Renewable and Sustainable Energy Reviews assessed the energy payback time and EROI of a variety of PV module technologies In this study which uses an insolation of 1700 kWh m2 yr and a system lifetime of 30 years mean harmonized EROIs between 8 7 and 34 2 were found Mean harmonized energy payback time varied from 1 0 to 4 1 years 10 better source needed In 2021 the Fraunhofer Institute for Solar Energy Systems calculated an energy payback time of around 1 year for European PV installations 0 9 years for Catania in Southern Italy 1 1 years for Brussels with wafer based silicon PERC cells 11 Wind turbines Edit In the scientific literature EROIs wind turbines is around 16 unbuffered and 4 buffered 12 Data collected in 2018 found that the EROI of operational wind turbines averaged 19 8 with high variability depending on wind conditions and wind turbine size 13 EROIs tend to be higher for recent wind turbines compared to older technology wind turbines Vestas reports an EROI of 31 for its V150 model wind turbine 14 Oil sands Edit Because much of the energy required for producing oil from oil sands bitumen comes from low value fractions separated out by the upgrading process there are two ways to calculate EROI the higher value given by considering only the external energy inputs and the lower by considering all energy inputs including self generated One study found that in 1970 oil sands net energy returns was about 1 0 but by 2010 had increased to about 5 23 15 clarification needed Conventional oil Edit Conventional sources of oil have a rather large variation depending on various geologic factors The EROI for refined fuel from conventional oil sources varies from around 18 to 43 16 Shale oil Edit Due to the process heat input requirements for shale oil harvesting the EROI is much lower than for conventional oil sources Typically natural gas is used either directly combusted for process heat or used to power an electricity generating turbine which then uses electrical heating elements to heat the underground layers of shale to produce oil from the kerogen Resulting EROI is typically around 1 4 1 5 16 Economically oil shale might be viable due to the effectively free natural gas on site used for heating the kerogen but opponents have debated that the natural gas could be extracted directly and used for relatively inexpensive transportation fuel rather than heating shale for a lower EROI and higher carbon emissions Oil liquids Edit The weighted average standard EROI of all oil liquids including coal to liquids gas to liquids biofuels etc is expected to decrease from 44 4 in 1950 to a plateau of 6 7 in 2050 17 Natural gas Edit The standard EROI for natural gas is estimated to decrease from 141 5 in 1950 to an apparent plateau of 16 8 in 2050 18 Non manmade energy inputs EditThe natural or primary energy sources are not included in the calculation of energy invested only the human applied sources For example in the case of biofuels the solar insolation driving photosynthesis is not included and the energy used in the stellar synthesis of fissile elements is not included for nuclear fission The energy returned includes only human usable energy and not wastes such as waste heat Nevertheless heat of any form can be counted where it is actually used for heating However the use of waste heat in district heating and water desalination in cogeneration plants is rare and in practice it is often excluded in EROI analysis of energy sources clarification needed Competing methodology EditIn a 2010 paper by Murphy and Hall the advised extended Ext boundary protocol for all future research on EROI was detailed In order to produce what they consider a more realistic assessment and generate greater consistency in comparisons than what Hall and others view as the weak points in a competing methodology 19 In more recent years however a source of continued controversy is the creation of a different methodology endorsed by certain members of the IEA which for example most notably in the case of photovoltaic solar panels controversially generates more favorable values 20 21 In the case of photovoltaic solar panels the IEA method tends to focus on the energy used in the factory process alone In 2016 Hall observed that much of the published work in this field is produced by advocates or persons with a connection to business interests among the competing technologies and that government agencies had not yet provided adequate funding for rigorous analysis by more neutral observers 22 23 Relationship to net energy gain EditEROI and Net energy gain measure the same quality of an energy source or sink in numerically different ways Net energy describes the amounts while EROI measures the ratio or efficiency of the process They are related simply by GrossEnergyYield EnergyExpended E R O I displaystyle hbox GrossEnergyYield div hbox EnergyExpended EROI or NetEnergy EnergyExpended 1 E R O I displaystyle hbox NetEnergy div hbox EnergyExpended 1 EROI For example given a process with an EROI of 5 expending 1 unit of energy yields a net energy gain of 4 units The break even point happens with an EROI of 1 or a net energy gain of 0 The time to reach this break even point is called energy payback period EPP or energy payback time EPBT 24 25 Economic influence EditAlthough many qualities of an energy source matter for example oil is energy dense and transportable while wind is variable when the EROI of the main sources of energy for an economy fall that energy becomes more difficult to obtain and its relative price may increase In regard to fossil fuels when oil was originally discovered it took on average one barrel of oil to find extract and process about 100 barrels of oil The ratio for discovery of fossil fuels in the United States has declined steadily over the last century from about 1000 1 in 1919 to only 5 1 in the 2010s 2 Since the invention of agriculture humans have increasingly used exogenous sources of energy to multiply human muscle power Some historians have attributed this largely to more easily exploited i e higher EROI energy sources which is related to the concept of energy slaves Thomas Homer Dixon 26 argues that a falling EROI in the Later Roman Empire was one of the reasons for the collapse of the Western Empire in the fifth century CE In The Upside of Down he suggests that EROI analysis provides a basis for the analysis of the rise and fall of civilisations Looking at the maximum extent of the Roman Empire 60 million and its technological base the agrarian base of Rome was about 1 12 per hectare for wheat and 1 27 for alfalfa giving a 1 2 7 production for oxen One can then use this to calculate the population of the Roman Empire required at its height on the basis of about 2 500 3 000 calories per day per person It comes out roughly equal to the area of food production at its height But ecological damage deforestation soil fertility loss particularly in southern Spain southern Italy Sicily and especially north Africa saw a collapse in the system beginning in the 2nd century as EROI began to fall It bottomed in 1084 when Rome s population which had peaked under Trajan at 1 5 million was only 15 000 Evidence also fits the cycle of Mayan and Cambodian collapse too Joseph Tainter 27 suggests that diminishing returns of the EROI is a chief cause of the collapse of complex societies which has been suggested as caused by peak wood in early societies Falling EROI due to depletion of high quality fossil fuel resources also poses a difficult challenge for industrial economies and could potentially lead to declining economic output and challenge the concept which is very recent when considered from a historical perspective of perpetual economic growth 28 Criticism of EROI Edit Measuring energy output is a solved problem measuring the input remains highly debated EROI is calculated by dividing the energy output by the energy input Measuring total energy output is often easy especially in the case for an electrical output where some appropriate electricity meter can be used However researchers disagree on how to determine energy input accurately and therefore arrive at different numbers for the same source of energy 29 How deep should the probing in the supply chain of the tools being used to generate energy go For example if steel is being used to drill for oil or construct a nuclear power plant should the energy input of the steel be taken into account Should the energy input into building the factory being used to construct the steel be taken into account and amortized Should the energy input of the roads which are used to ferry the goods be taken into account What about the energy used to cook the steelworkers breakfasts These are complex questions evading simple answers 30 A full accounting would require considerations of opportunity costs and comparing total energy expenditures in the presence and absence of this economic activity However when comparing two energy sources a standard practice for the supply chain energy input can be adopted For example consider the steel but don t consider the energy invested in factories deeper than the first level in the supply chain It is in part for these fully encompassed systems reasons that in the conclusions of Murphy and Hall s paper in 2010 an EROI of 5 by their extended methodology is considered necessary to reach the minimum threshold of sustainability 19 while a value of 12 13 by Hall s methodology is considered the minimum value necessary for technological progress and a society supporting high art 20 21 Richards and Watt propose an Energy Yield Ratio for photovoltaic systems as an alternative to EROI which they refer to as Energy Return Factor The difference is that it uses the design lifetime of the system which is known in advance rather than the actual lifetime This also means that it can be adapted to multi component systems where the components have different lifetimes 31 Another issue with EROI that many studies attempt to tackle is that the energy returned can be in different forms and these forms can have different utility For example electricity can be converted more efficiently than thermal energy into motion due to electricity s lower entropy In addition the form of energy of the input can be completely different from the output For example energy in the form of coal could be used in the production of ethanol This might have an EROI of less than one but could still be desirable due to the benefits of liquid fuels assuming the latters are not used in the processes of extraction and transformation Additional EROI calculations EditThere are three prominent expanded EROI calculations they are point of use extended and societal Point of Use EROI expands the calculation to include the cost of refining and transporting the fuel during the refining process Since this expands the bounds of the calculation to include more production process EROI will decrease 2 Extended EROI includes point of use expansions as well as including the cost of creating the infrastructure needed for transportation of the energy or fuel once refined 32 Societal EROI is a sum of all the EROIs of all the fuels used in a society or nation A societal EROI has never been calculated and researchers believe it may currently be impossible to know all variables necessary to complete the calculation but attempted estimates have been made for some nations Calculations are done by summing all of the EROIs for domestically produced and imported fuels and comparing the result to the Human Development Index HDI a tool often used to understand well being in a society 33 According to this calculation the amount of energy a society has available to them increases the quality of life for the people living in that country and countries with less energy available also have a harder time satisfying citizens basic needs 34 This is to say that societal EROI and overall quality of life are very closely linked EROI and payback periods of some types of power plants EditThe following table is a compilation of sources of energy from German Wikipedia The minimum requirement is a breakdown of the cumulative energy expenses according to material data Frequently in literature harvest factors are reported for which the origin of the values is not completely transparent These are not included in this table The bold numbers are those given in the respective literature source the normal printed ones are derived see Mathematical Description Type EROI Amortization period Amortization period compared to an ideal power stationEROI Amortization periodNuclear power a Pressurized water reactor 100 Centrifuge enrichment de 35 106 2 Months failed verification 315 failed verification 17 Days failed verification Pressurized water reactor 83 Centrifuge enrichment de 35 75 2 Months failed verification 220 failed verification 17 Days failed verification Fossil energy a Brown coal Open cast 35 31 2 Months failed verification 90 failed verification 23 Days failed verification Black coal underground mining without coal transportation 35 29 2 Months failed verification 84 failed verification 19 Days failed verification Gas CCGT Natural gas 35 28 9 Days failed verification 81 failed verification 3 Days failed verification Gas CCGT Bio gas 35 3 5 12 Days failed verification 10 failed verification 3 Days failed verification HydropowerRiver hydroelectric 35 50 1 Year failed verification 150 failed verification 8 Months failed verification Solar thermal b Desert parabolic troughs phenyl compounds medium 35 21 1 1 Years failed verification 62 failed verification 4 Months failed verification Wind energy b 1 5 MW E 66 de 2000 Full load hours VLh de German coast 35 16 1 2 Years failed verification 48 failed verification 5 Months failed verification 1 5 MW E 66 de 2700 Full load hours VLh de German coast shore 36 21 failed verification 0 9 Years failed verification 63 failed verification 3 7 Months failed verification 2 3 MW E 82 de 3200 Full load hours VLh de German coast shore 37 38 c 51 failed verification 4 7 Months failed verification 150 failed verification 1 6 Months failed verification 200 MW park 5 MW installation 4400 Full load hours VLh de offshore 39 16 1 2 Years failed verification 48 failed verification 5 Months failed verification Photovoltaics b Poly silicon roof installation 1000 Full load hours VLh de South Germany 35 4 0 6 Years failed verification 12 failed verification 2 Years failed verification Poly silicon roof installation 1800 Full load hours VLh de South Europe 40 7 0 3 3 Years failed verification 21 failed verification 1 1 Years failed verification a The cost of fuel transportation is taken into account b The values refer to the total energy output The expense for storage power plants seasonal reserves or conventional load balancing power plants is not taken into account c The data for the E 82 come from the manufacturer but are confirmed by TUV Rheinland citation needed ESOEI EditESOEI or ESOIe is used when EROI is below 1 ESOIe is the ratio of electrical energy stored over the lifetime of a storage device to the amount of embodied electrical energy required to build the device 4 Storage Technology ESOEI 4 Lead acid battery 5Zinc bromide battery 9Vanadium redox battery 10NaS battery 20Lithium ion battery 32Pumped hydroelectric storage 704Compressed air energy storage 792One of the notable outcomes of the Stanford University team s assessment on ESOI was that if pumped storage was not available the combination of wind energy and the commonly suggested pairing with battery technology as it presently exists would not be sufficiently worth the investment suggesting instead curtailment 41 EROI under rapid growth EditA related recent concern is energy cannibalism where energy technologies can have a limited growth rate if climate neutrality is demanded Many energy technologies are capable of replacing significant volumes of fossil fuels and concomitant green house gas emissions Unfortunately neither the enormous scale of the current fossil fuel energy system nor the necessary growth rate of these technologies is well understood within the limits imposed by the net energy produced for a growing industry This technical limitation is known as energy cannibalism and refers to an effect where rapid growth of an entire energy producing or energy efficiency industry creates a need for energy that uses or cannibalizes the energy of existing power plants or production plants 42 The solar breeder overcomes some of these problems A solar breeder is a photovoltaic panel manufacturing plant which can be made energy independent by using energy derived from its own roof using its own panels Such a plant becomes not only energy self sufficient but a major supplier of new energy hence the name solar breeder Research on the concept was conducted by Centre for Photovoltaic Engineering University of New South Wales Australia 43 44 The reported investigation establishes certain mathematical relationships for the solar breeder which clearly indicate that a vast amount of net energy is available from such a plant for the indefinite future 45 The solar module processing plant at Frederick Maryland 46 was originally planned as such a solar breeder In 2009 the Sahara Solar Breeder Project was proposed by the Science Council of Japan as a cooperation between Japan and Algeria with the highly ambitious goal of creating hundreds of GW of capacity within 30 years 47 Theoretically breeders of any kind can be developed In practice nuclear breeder reactors are the only large scale breeders that have been constructed as of 2014 with the 600 MWe BN 600 and 800 MWe BN 800 reactor the two largest in operation See also Edit Energy portal Renewable energy portal Business and economics portal Ecology portal Environment portalCost of electricity by source levelized cost of energy Embodied energy Emergy Energy balance Energy cannibalism Exergy useful energy Jevons paradox 1880s observation of the efficiency effect multiplier Khazzoom Brookes Postulate 1980s updating of Jevons paradox Net energy gain Social metabolism ThermoeconomicsReferences Edit Murphy D J Hall C A S 2010 Year in review EROI or energy return on energy invested Annals of the New York Academy of Sciences 1185 1 102 118 Bibcode 2010NYASA1185 102M doi 10 1111 j 1749 6632 2009 05282 x PMID 20146764 S2CID 6433639 a b c d Hall CA Lambert JG Balogh SB 2013 EROI of different fuels and the implications for society Energy Policy 64 141 52 doi 10 1016 j enpol 2013 05 049 Why energy storage is a dead end industry Energy Storage Report 15 October 2014 a b c The energetic implications of curtailing versus storing solar and wind generated electricity Pubs rsc org Retrieved July 26 2022 Atlason R Unnthorsson R 2014 Ideal EROI energy return on investment deepens the understanding of energy systems Energy 67 241 45 doi 10 1016 j energy 2014 01 096 Will Fossil Fuels be Able to Maintain Economic Growth A Q amp A with Charles Hall Scientific American N Y Times article featuring Hall Retrieved November 3 09 Photovoltaics Report PDF Fraunhofer ISE July 28 2014 Archived PDF from the original on July 25 2014 Retrieved August 31 2014 Dale M et al 2013 Energy balance of the global photovoltaic PV industry is the PV industry a net electricity producer In Environmental Science and Technology 47 7 3482 3489 Bibcode 2013EnST 47 3482D doi 10 1021 es3038824 PMID 23441588 Bhandari et al 2015 Energy payback time EPBT and energy return on energy invested EROI of solar photovoltaic systems A systematic review and meta analysis In Renewable and Sustainable Energy Reviews 47 133 141 doi 10 1016 j rser 2015 02 057 Fraunhofer Institut 2022 Photovoltaics Report page 37 https www ise fraunhofer de content dam ise de documents publications studies Photovoltaics Report pdf Energy intensities EROIs and energy payback times of electricity generating power plants PDF Festkoerper kernphysik de Retrieved July 26 2022 Meta Analysis of Net Energy Return for Wind Power Systems Researchgate net Archived copy PDF Archived from the original PDF on 2020 10 21 Retrieved 2020 10 20 a href Template Cite web html title Template Cite web cite web a CS1 maint archived copy as title link Brandt A R Englander J Bharadwaj S 2013 The energy efficiency of oil sands extraction Energy return ratios from 1970 to 2010 Energy 55 693 702 doi 10 1016 j energy 2013 03 080 a b An Assessment of Energy Return on Investment of Oil Shale Western Resource Advocates Retrieved 2020 04 21 Delannoy Louis Longaretti Pierre Yves Murphy David J Prados Emmanuel December 2021 Peak oil and the low carbon energy transition A net energy perspective Applied Energy 304 117843 doi 10 1016 j apenergy 2021 117843 S2CID 240530798 Delannoy Louis Longaretti Pierre Yves Murphy David J Prados Emmanuel January 2021 Assessing Global Long Term EROI of Gas A Net Energy Perspective on the Energy Transition Energies 14 16 5112 doi 10 3390 en14165112 a b Ferroni Ferruccio Hopkirk Robert J 2016 Energy Return on Energy Invested ERoEI for photovoltaic solar systems in regions of moderate insolation Energy Policy 94 336 344 doi 10 1016 j enpol 2016 03 034 a b Full Page Reload IEEE Spectrum Technology Engineering and Science News 30 August 2012 a b Pickard William F 2014 Energy return on energy invested eroi A quintessential but possibly inadequate metric for sustainability in a solar powered world point of view Proceedings of the IEEE 102 8 1118 1122 doi 10 1109 JPROC 2014 2332092 The Real EROI of Photovoltaic Systems Professor Hall Weighs in Resilience May 27 2016 Hall Charles 2016 05 26 The real EROI of photovoltaic systems professor Hall weighs in Cassandra s Legacy Ugo Bardi Marco Raugei Pere Fullana i Palmer and Vasilis Fthenakis March 2012 The Energy Return on Energy Investment EROI of Photovoltaics Methodology and Comparisons with Fossil Fuel Life Cycles PDF Brookhaven National Laboratory Archived PDF from the original on 8 March 2016 a href Template Cite web html title Template Cite web cite web a CS1 maint uses authors parameter link Ibon Galarraga M Gonzalez Eguino Anil Markandya 1 January 2011 Handbook of Sustainable Energy Edward Elgar Publishing p 37 ISBN 978 0857936387 Retrieved 9 May 2017 via Google Books a href Template Cite book html title Template Cite book cite book a CS1 maint multiple names authors list link Homer Dixon Thomas 2007 The Upside of Down Catastrophe Creativity and the Renewal of Civilisation Island Press ISBN 978 1 59726 630 7 Tainter Joseph 1990 The Collapse of Complex Societies Cambridge University Press ISBN 978 0521386739 Morgan Tim 2013 Life After Growth Petersfield UK Harriman House ISBN 9780857193391 Mason Inman Behind the Numbers on Energy Return on Investment Scientific American April 1 2013 Archive Richards Michael Hall Charles 2014 Does a Change in Price of Fuel Affect GDP Growth An Examination of the US Data from 1950 2013 Energies 7 10 6558 6570 doi 10 3390 en7106558 Richards B S Watt M E 2006 Permanently dispelling a myth of photovoltaics via the adoption of a new net energy indicator PDF Renewable and Sustainable Energy Reviews 11 162 172 doi 10 1016 j rser 2004 09 015 Hall CA Lambert JG Balogh SB 2013 EROEI of different fuels and the implications for society Energy Policy 141 52 Lambert JG Hall CA Balogh S Gupta A Arnold M 2014 Energy EROI and quality of life Energy Policy Lambert JG Hall CA Balogh S Gupta A Arnold M 2014 Energy EROI and quality of life Energy Policy 153 67 amp Arvesen A Hertwich EG 2014 More caution is needed when using life cycle assessment to determine energy return on investment EROI Energy Policy 1 6 a b c d e f g h i j D Weissbach et al 2013 Energy intensities EROIs energy returned on invested and energy payback times of electricity generating power plants Energy Band 52 S 210 ff doi 10 1016 j energy 2013 01 029 E Pick Hermann Josef Wagner Beitrag zum kumulierten Energieaufwand ausgewahlter Windenergiekonverter Arbeitsbericht des Instituts fur okologisch vertragliche Energiewirtschaft Universitat Essen 1998 Mehr Windkraft an Land ruckt Okologie ins Blickfeld Archived 2011 10 09 at the Wayback Machine In vdi Nachrichten 2 September 2011 Retrieved 17 September 2011 Enercon Windblatt 4 2011 PDF 1 2 MB Internetseite von Enercon Retrieved 10 January 2012 Rodoula Tryfonidou Hermann Josef Wagner Offshore Windkraft Technikauswahl und aggregierte Ergebnisdarstellung Kurzfassung PDF Datei 109 kB Lehrstuhl fur Energiesysteme und Energiewirtschaft Ruhr Universitat Bochum 2004 Mariska de Wild Scholten Environmental profile of PV mass production globalization PDF 1 8 MB 2011 Report Energy Storage October 15 2014 Why energy storage is a dead end industry Energy Storage Report Pearce J M 2008 Limitations of Greenhouse Gas Mitigation Technologies Set by Rapid Growth and Energy Cannibalism Klima Archived from the original on 2009 08 17 Retrieved 2011 04 06 The Azimuth Project Solar Breeder Retrieved 2011 04 06 Lindmayer Joseph 1978 The solar breeder Proceedings Photovoltaic Solar Energy Conference Luxembourg September 27 30 1977 Dordrecht D Reidel Publishing pp 825 835 Bibcode 1978pvse conf 825L ISBN 9027708894 OCLC 222058767 Lindmayer Joseph 1977 The Solar Breeder NASA The BP Solarex Facility Tour in Frederick MD Sustainable Cooperative for Organic Development 2010 03 29 Retrieved 28 February 2013 Koinuma H Kanazawa I Karaki H Kitazawa K Mar 26 2009 Sahara solar breeder plan directed toward global clean energy superhighway G8 5 Academies meeting in Rome Science Council of Japan External links EditWorld Nuclear org World Nuclear Association study on EROI with assumptions listed Web archive org Wayback Archive of OilAnalytics org EROI as a Measure of Energy Availability EOearth org Energy return on investment EROI EOearth org Net energy analysis H2 pv us Essay on H2 PV Breeder Synergies Retrieved from https en wikipedia org w index php title Energy return on investment amp oldid 1140744446, wikipedia, wiki, book, books, library,

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