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Capacity factor

From Wikipedia, the free encyclopedia
Electrical production measure
US EIA monthly capacity factors 2011-2013

The netcapacity factor is theunitless ratio of actual electrical energy output over a given period of time to the theoretical maximum electrical energy output over that period.[1] The theoretical maximum energy output of a given installation is defined as that due to its continuous operation at fullnameplate capacity over the relevant period. The capacity factor can be calculated for any electricity producing installation, such as afuel consumingpower plant or one usingrenewable energy, such as wind, the sun or hydro-electric installations. The average capacity factor can also be defined for any class of such installations, and can be used to compare different types of electricity production.

The actual energy output during that period and the capacity factor vary greatly depending on a range of factors. The capacity factor can never exceed theavailability factor, oruptime during the period. Uptime can be reduced due to, for example, reliability issues and maintenance, scheduled or unscheduled. Other factors include the design of the installation, its location, the type of electricity production and with it either the fuel being used or, for renewable energy, the local weather conditions. Additionally, the capacity factor can be subject to regulatory constraints andmarket forces, potentially affecting both its fuel purchase and its electricity sale.

The capacity factor is often computed over a timescale of a year,averaging out most temporal fluctuations. However, it can also be computed for a month to gain insight into seasonal fluctuations. Alternatively, it can be computed over the lifetime of the power source, both while operational and after decommissioning. A capacity factor can also be expressed and converted tofull load hours.

Definition

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Capacity factor calculator
Yearly generation MWh
Capacity MW
Capacity factor
Capacity factor=Annual generation MW·h(365 days)×(24 hours/day)×(Nameplate capacity MW){\displaystyle {\mbox{Capacity factor}}={\frac {{\mbox{Annual generation}}\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times ({\mbox{Nameplate capacity}}\ {\mbox{MW}})}}}

Sample calculations

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Nuclear power plant

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Worldwide Nuclear Power Capacity Factors

Nuclear power plants are at the high end of the range of capacity factors, ideally reduced only by theavailability factor, i.e. maintenance and refueling. The largest nuclear plant in the US,Palo Verde Nuclear Generating Station has between its three reactors a nameplate capacity of 3,942 MW. In 2010 its annual generation was 31,200,000 MWh,[2] leading to a capacity factor of:

31,200,000 MW·h(365 days)×(24 hours/day)×(3942 MW)=0.904=90.4%{\displaystyle {\frac {31,200,000\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times (3942\ {\mbox{MW}})}}=0.904={90.4\%}}

Each of Palo Verde’s three reactors is refueled every 18 months, with one refueling every spring and fall. In 2014, a refueling was completed in a record 28 days,[3] compared to the 35 days of downtime that the 2010 capacity factor corresponds to.

In 2019,Prairie Island 1 was the US unit with the highest factor and actually reached 104.4%.[4]

Wind farm

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The Danish offshore wind farmHorns Rev 2 has a nameplate capacity of 209.3 MW.As of January 2017[update] it has produced 6416 GWh since its commissioning 7 years ago, i.e. an average annual production of 875 GWh/year and a capacity factor of:

875,000 MW·h(365 days)×(24 hours/day)×(209.3 MW)=0.477=47.7%{\displaystyle {\frac {875,000\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times (209.3\ {\mbox{MW}})}}=0.477=47.7\%}[5]

Sites with lower capacity factors may be deemed feasible for wind farms, for example the onshore 1 GWFosen Vind which as of 2017[update] is under construction in Norway has a projected capacity factor of 39%. Feasibility calculations may be affected by seasonality. For example in Finland, capacity factor during the cold winter months is more than double compared to July.[6] While the annual average in Finland is 29.5%,[6] the high demand for heating energy correlates with the higher capacity factor during the winter.

Certain onshore wind farms can reach capacity factors of over 60%, for example the 44 MW Eolo plant in Nicaragua had a net generation of 232.132 GWh in 2015, equivalent to a capacity factor of 60.2%,[7] while United States annual capacity factors from 2013 through 2016 range from 32.2% to 34.7%.[8]

Since the capacity factor of a wind turbine measures actual production relative to possible production, it is unrelated toBetz's coefficient of 16/27{\displaystyle \approx } 59.3%, which limits production vs. energy available in the wind.

Hydroelectric dam

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As of 2017[update]Three Gorges Dam in China is, with its nameplate capacity of 22,500 MW, the largest power generating station in the world by installed capacity. In 2015 it generated 87 TWh, for a capacity factor of:

87,000,000 MW·h(365 days)×(24 hours/day)×(22,500 MW)=0.45=45%{\displaystyle {\frac {87,000,000\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times (22,500\ {\mbox{MW}})}}=0.45=45\%}

Hoover Dam has a nameplate capacity of 2080 MW[9] and an annual generation averaging 4.2 TW·h.[9] (The annual generation has varied between a high of 10.348 TW·h in 1984, and a low of 2.648 TW·h in 1956.[9]).Taking the average figure for annual generation gives a capacity factor of:

4,200,000 MW·h(365 days)×(24 hours/day)×(2,080 MW)=0.23=23%{\displaystyle {\frac {4,200,000\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times (2,080\ {\mbox{MW}})}}=0.23=23\%}

Photovoltaic power station

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At the low range of capacity factors is thephotovoltaic power station, which supplies power to the electricity grid from a large-scalephotovoltaic system (PV system). An inherent limit to its capacity factor comes from its requirement ofdaylight, preferably with a sun unobstructed by clouds, smoke orsmog, shade from trees and building structures. Since the amount of sunlight varies both with the time of the day and the seasons of the year, the capacity factor is typically computed on an annual basis. The amount of available sunlight is mostly determined by thelatitude of the installation and the local cloud cover.The actual production is also influenced by local factors such as dust and ambient temperature, which ideally should be low. As for any power station, the maximum possible power production is the nameplate capacity times the number of hours in a year, while the actual production is the amount of electricity delivered annually to the grid.

For example,Agua Caliente Solar Project, located inArizona near the 33rdparallel and awarded for its excellence in renewable energy has a nameplate capacity of 290 MW and an actual average annual production of 740 GWh/year.Its capacity factor is thus:

740,000 MW·h(365 days)×(24 hours/day)×(290 MW)=0.291=29.1%{\displaystyle {\frac {740,000\ {\mbox{MW·h}}}{(365\ {\mbox{days}})\times (24\ {\mbox{hours/day}})\times (290\ {\mbox{MW}})}}=0.291=29.1\%}.

A significantly lower capacity factor is achieved byLauingen Energy Park located inBavaria, near the 49th parallel. With a nameplate capacity of 25.7 MW and an actual average annual production of 26.98 GWh/year it has a capacity factor of 12.0%.

Determinants of a plant capacity factor

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There are several reasons why a plant would have a capacity factor lower than 100%. These include technical constraints, such asoperational availabilityAo{\textstyle A_{o}} of the plant (known asavailability factor for electricity generators), economic reasons, and availability of an energy resource.

A plant can be out of service or operating at reduced output for part of the time due to equipment failures or routine maintenance. This accounts for most of the unused capacity ofbase load power plants. Base load plants usually have low costs per unit of electricity because they are designed for maximum efficiency and are operated continuously at high output.Geothermal power plants,nuclear power plants,coal-fired plants andbioenergy plants that burn solid material are almost always operated as base load plants, as they can be difficult to adjust to suit demand.

A plant can also have its output curtailed or intentionally left idle because the electricity is not needed or because the price of electricity is too low to make production economical.This accounts for most of the unused capacity ofpeaking power plants andload following power plants.Peaking plants may operate for only a few hours per year or up to several hours per day.Many other power plants operate only at certain times of the day or year because of variation in loads and electricity prices.If a plant is only needed during the day, for example, even if it operates at full power output from 8 am to 8 pm every day (12 hours) all year long, it would only have a 50% capacity factor.Due to low capacity factors, electricity from peaking power plants is relatively expensive because the limited generation has to cover the plant fixed costs.

A third reason is that a plant may not have the fuel available to operate all of the time. This can apply to fossil generating stations with restricted fuels supplies, but most notably applies to intermittent renewable resources.[10]Solar PV and wind turbines have a capacity factor limited by the availability of their "fuel", sunshine and wind respectively.A hydroelectricity plant may have a capacity factor lower than 100% due to restriction or scarcity of water, or its output may be regulated to match the current power need, conserving its stored water for later usage.

Governments differ in their wiliness to accept risks ofpower outages and lack ofresilience against natural disasters and military attack on electricity grids. Examples of historical events impacting grid resilience are the1991 Gulf War air campaign against civilian infrastructure,2015 Ukraine power grid hack,2021 Texas power crisis andRussian strikes against Ukrainian infrastructure (2022–present). Low risk tolerance may require electricity grids to be more significantly overbuilt to mitigate the potential costs of electricity grid interruptions and outages, impacting on a technology-by-technology basis the amount of generation curtailment necessary under normal grid conditions.

Other reasons that a power plant may not have a capacity factor of 100% include restrictions or limitations on air permits and limitations on transmission that force the plant to curtail output.

Capacity factor of renewable energy

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US EIA monthly capacity factors for renewables, 2011-2013

Forrenewable energy sources such assolar power,wind power andhydroelectricity, the main reason for reduced capacity factor is generally the availability of the energy source. The plant may be capable of producing electricity, but its "fuel" (wind,sunlight orwater) may not be available. A hydroelectric plant's production may also be affected by requirements to keep the water level from getting too high or low and to provide water forfish downstream. However, solar, wind and hydroelectric plants do have highavailability factors, so when they have fuel available, they are almost always able to produce electricity.[11]

When hydroelectric plants have water available, they are also useful for load following, because of their highdispatchability. A typical hydroelectric plant's operators can bring it from a stopped condition to full power in just a few minutes.

Wind farms are variable, due to the natural variability of the wind. For a wind farm, the capacity factor is determined by the availability of wind, the swept area of the turbine and the size of thegenerator. Transmission line capacity and electricity demand also affect the capacity factor. Typical capacity factors of current wind farms are between 25 and 45%.[12] In the United Kingdom during the five year period from 2011 to 2019 the annual capacity factor for wind was over 30%.[13][14][15][16]

Solar energy is variable because of the daily rotation of the earth, seasonal changes, and because of cloud cover. For example, the Sacramento Municipal Utility District observed a 15% capacity factor in 2005.[17]However, according to theSolarPACES programme of theInternational Energy Agency (IEA), solar power plants designed for solar-only generation are well matched to summer noon peak loads in areas with significant cooling demands, such asSpain or thesouth-western United States,[18] although in some locations solar PV does not reduce the need for generation of network upgrades given that air conditioner peak demand often occurs in the late afternoon or early evening when solar output is reduced.[19][20] SolarPACES states that by using thermal energy storage systems the operating periods ofsolar thermal power (CSP) stations can be extended to become dispatchable (load following).[18]

Geothermal has a higher capacity factor than many other power sources, and geothermal resources are generally available all the time.

Capacity factors by energy source

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Worldwide

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  • Nuclear power 88.7% (2006 - 2012 average of US's plants).[21]
  • Hydroelectricity, worldwide average 44%,[22] range of 10% - 99% depending on water availability (with or without regulation via storage dam).
  • Wind farms 21-52% (as of 2022).[23]
  • CSP solar with storage and Natural Gas backup in Spain 63%,[24] California 33%.[25]
  • Photovoltaic solar in Germany 10%, Arizona 19%,[26][27][28] Massachusetts 13.35% (8 year average as of July 2018).[29]

United States

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According to the US Energy Information Administration (EIA), from 2013 to 2017 the capacity factors of utility-scale generators were as follows:[30]

Year
 
 ​
2013​
2014​
2015​
2016​
2017​
2018
Non-fossil fuelsCoalNatural GasPetroleum Liquids
NuclearConv. HydroWindSolar PVSolarCSPLandfill Gas
andMSW
Other Biomass
including Wood
GeothermalCCCTSTICESTCTICE
89.9%38.9%32.4%NANA68.9%56.7%73.6%59.8%48.2%4.9%10.6%6.1%12.1%0.8%2.2%
91.7%37.3%34.0%25.9%19.8%68.9%58.9%74.0%61.1%48.3%5.2%10.4%8.5%12.5%1.1%1.4%
92.3%35.8%32.2%25.8%22.1%68.7%55.3%74.3%54.7%55.9%6.9%11.5%8.9%13.3%1.1%2.2%
92.3%38.2%34.5%25.1%22.2%69.7%55.6%73.9%53.3%55.5%8.3%12.4%9.6%11.5%1.1%2.6%
92.2%43.1%34.6%25.7%21.8%68.0%57.8%74.0%53.7%51.3%6.7%10.5%9.9%13.5%0.9%2.3%
92.6%42.8%37.4%26.1%23.6%73.3%49.3%77.3%54.0%57.6%11.8%13.7%NA13.9%2.5%NA

However, these values often vary significantly by month.

United Kingdom

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The following figures were collected by theDepartment of Energy and Climate Change on the capacity factors for various types of plants in UK grid:[31][13][32][14][33][15][34][16][35][36]

Generator type200720082009201020112012201320142015201620172018201920202021
Nuclear power stations59.6%49.4%65.6%59.3%66.4%70.8%73.8%66.6%75.1%80.1%78.8%72.9%62.9%59.8%58.5%
Combined cycle gas turbine stations64.7%71.0%64.2%61.6%47.8%30.3%27.9%30.5%32.1%49.8%45.5%42.7%43.0%35.4%38.9%
Coal-fired power stations46.7%45.0%38.5%40.2%40.8%56.9%58.1%50.7%44.0%21.2%17.3%14.2%7.8%9.7%12.7%
Hydroelectric power stations38.2%37.4%36.7%24.9%39.0%35.7%31.6%39.1%41.0%34.0%36.3%33.2%36.1%41.5%33.1%
Wind power27.7%27.5%27.1%23.7%30.1%29.4%32.2%30.1%33.6%27.8%31.7%31.5%32.0%35.6%29.3%
Offshore wind power25.6%30.7%25.9%30.5%37.0%35.8%39.1%37.3%41.5%36.0%38.9%39.9%40.4%45.7%37.4%
Photovoltaic power stations9.9%9.6%9.3%7.3%5.1%11.2%9.9%11.1%11.8%11.0%10.6%11.2%10.7%10.9%10.0%
Marine (wave andtidal power stations)0.4%0.8%4.8%8.4%3.8%8.3%9.6%3.2%2.6%0.0%3.0%5.5%7.5%5.7%2.8%
Bioenergy power stations52.7%52.2%56.5%55.2%44.1%46.9%56.8%60.1%67.4%61.8%61.5%58.6%55.4%56.7%56.6%

See also

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References

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  1. ^"Capacity factor (net)".nrc.gov. Retrieved2017-02-11.
  2. ^"Arizona Nuclear Profile 2010".eia.gov. Retrieved2017-02-11.
  3. ^"palo verde unit 2 ranked as top u.s. generator for 2013".aps.com. 2014-03-10. Archived fromthe original on 2015-04-20. Retrieved2017-02-11.
  4. ^Reactor Database - Top load factor table world-nuclear, 2020-08-15
  5. ^Andrew (2017-01-26)."Capacity factors at Danish offshore wind farms".energynumbers.info. Archived fromthe original on 2017-01-29. Retrieved2017-02-11.
  6. ^abHuotari, Jussi (2020)."Wind Power Generation Efficiency and Seasonality". Retrieved11 December 2020.
  7. ^"Centro Nacional de Despacho de Carga". Retrieved2016-07-29.
  8. ^"EIA - Electricity Data".www.eia.gov. Retrieved2017-04-10.
  9. ^abc"Hoover Dam - Frequently Asked Questions and Answers".United States Bureau of Reclamation. February 2009. Archived fromthe original on 2010-03-23. Retrieved2010-08-07.
  10. ^"Electric generator capacity factors vary widely across the world - Today in Energy - U.S. Energy Information Administration (EIA)".www.eia.gov. Retrieved13 April 2017.
  11. ^How Does A Wind Turbine's Energy Production Differ from Its Power Production?Archived March 13, 2008, at theWayback Machine
  12. ^Handleman, Clayton (2015-08-04)."Wind Could Replace Coal As US' Primary Generation Source, New NREL Data Suggests".cleantechnica.com. Retrieved2017-02-11.
  13. ^ab"Digest of United Kingdom energy statistics (DUKES) for 2012: chapter 6 - Renewable sources of energy"(PDF).decc.gov.uk. Archived fromthe original(PDF) on 30 October 2012. Retrieved20 March 2018.
  14. ^ab"Digest of United Kingdom energy statistics (DUKES) for 2013: chapter 6 - Renewable sources of energy"(PDF).www.gov.uk. Retrieved20 March 2018.
  15. ^ab"Digest of United Kingdom energy statistics (DUKES) for 2014: chapter 6 - Renewable sources of energy"(PDF).www.gov.uk. Retrieved20 March 2018.
  16. ^ab"Digest of United Kingdom energy statistics (DUKES) for 2016: chapter 6 - Renewable sources of energy"(PDF).www.gov.uk. Retrieved20 March 2018.
  17. ^Tom Blees (2008).Prescription for the Planet. BookSurge.ISBN 978-1-4196-5582-1.
  18. ^abThomas R. Mancini and Michael Geyer (2006).Spain Pioneers Grid-Connected Solar-Tower Thermal PowerArchived 2018-09-27 at theWayback Machine SolarPACES, OECD/ IEA, p. 3.
  19. ^Muriel WattValue of PV in summer peaksArchived February 17, 2011, at theWayback Machine
  20. ^Government of South Australia (2007), p.13,14South Australia’s Feed-In Mechanism for Residential Small-Scale Solar Photovoltaic InstallationsArchived December 5, 2010, at theWayback Machine
  21. ^"United States Nuclear Capacity Factors".Nuclear Energy Institute. Retrieved2013-10-26.
  22. ^Hydropower p. 441
  23. ^"Wind Energy Factsheet | Center for Sustainable Systems".css.umich.edu. Retrieved23 September 2024.
  24. ^"Torresol Energy Gemasolar Thermosolar Plant". Archived fromthe original on 2014-02-20. Retrieved2014-03-12.
  25. ^"Ivanpah Solar Electric Generating Station".National Renewable Energy Laboratory. Archived fromthe original on 2015-10-12. Retrieved2012-08-27.
  26. ^"Low Capacity Factors: challenges for a low carbon energy transition - The Energy Collective".theenergycollective.com. 15 October 2013. Retrieved20 March 2018.
  27. ^Laumer, John (June 2008)."Solar Versus Wind Power: Which Has The Most Stable Power Output?".Treehugger. Archived fromthe original on 2008-10-20. Retrieved2008-10-16.
  28. ^Ragnarsson, Ladislaus; Rybach (2008-02-11). O. Hohmeyer and T. Trittin (ed.).The possible role and contribution of geothermal energy to the mitigation of climate change(PDF). IPCC Scoping Meeting on Renewable Energy Sources. Luebeck, Germany. pp. 59–80. Archived fromthe original(PDF) on 2011-07-22. Retrieved2009-04-06.
  29. ^SREC Capacity Factor Report,https://www.masscec.com/data-and-reports
  30. ^"Table 6.7.B. Capacity Factors for Utility Scale Generators Primarily Using Fossil Fuels". Retrieved21 Aug 2018."Table 6.7.B. Capacity Factors for Utility Scale Generators Not Primarily Using Fossil Fuels". Retrieved21 Aug 2018.
  31. ^"Digest of United Kingdom energy statistics (DUKES) for 2012: chapter 5 - Electricity"(PDF).decc.gov.uk. Archived fromthe original(PDF) on 30 October 2012. Retrieved20 March 2018.
  32. ^"Digest of United Kingdom energy statistics (DUKES) for 2013: Chapter 5 - Electricity"(PDF).www.gov.uk. Retrieved20 March 2018.
  33. ^"Digest of United Kingdom energy statistics (DUKES) for 2014: Chapter 5 - Electricity"(PDF).www.gov.uk. Archived fromthe original(PDF) on 31 May 2015. Retrieved20 March 2018.
  34. ^"Digest of United Kingdom energy statistics (DUKES) for 2016: Chapter 5 - Electricity"(PDF).www.gov.uk. Retrieved20 March 2018.
  35. ^"Digest of United Kingdom energy statistics (DUKES) for 2020: Chapter 5 - Electricity".www.gov.uk. Retrieved21 October 2020.
  36. ^"Digest of United Kingdom energy statistics (DUKES) for 2020: chapter 6 - Renewable sources of energy".www.gov.uk. Retrieved21 October 2020.
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