at a glance

or over 2000 years people have used water- driven machinery. The oldest record of a water F mill dates from about 350 , in the Persian Empire. Water mills were widely used in medieval PhysicsReviewExtras times. For example, the Spanish city of Cordoba had a water mill before the Islamic conquest in 711 †, Download this poster at Water power www.hoddereducation.co.uk/ and a later structure (1) was in use from the twelfth physicsreviewextras to the fifteenth centuries. Water was first used to drive electrical generators In 2018 the International Energy Agency reported that hydroelectric Hydroelectric power does not always involve engineering on a vast in the late nineteenth century, and in 1878 Cragside power produced a total global output of 4239 TWh (1 TWh = 109 kWh = 3.6 scale. In the UK there are numerous community hydroelectric schemes in became the first house to be lit × 1015 J). This was 16% of the world’s total and the (7), with powers of typically 50 kW. They supply electricity to local homes 7 The Bainbridge community hydroelectric by (2). largest contribution from renewable sources (5). and businesses and sell any excess to the National Grid. You can see an turbine in Wensleydale, Yorkshire In a hydroelectric where water Much of the world’s hydroelectricity comes from large-scale schemes. The animation and live data from one such scheme (8) here: flows downhill from a reservoir (3), the power largest is the Three Gorges Dam project in China (6), which has 32 turbines www.whitbyeskenergy.org.uk/generating output depends on the head of water and the that can each generate 700 MW from a water head of 80–113 m and a flow To find details of similar projects near you, visit: flow rate through the turbine that drives the rate of 600–950 m3 s–1, plus two 50 MW turbines. https://hub.communityenergyengland.org/projects generator (4).

1 Cordoba’s medieval water wheel

3 A hydroelectric power station

water surface after ponding dam generator 6 The Three Gorges reservoir hydroelectric dam river bed ‘head’, h in China

original river surface

turbine natural stream 2 The original switchboard from Cragside’s hydroelectric system 4 Hydroelectric power When water with mass m flows down always less than 100% because not 5 Global electricity generation in 2018 8 Data display animation from Whitby Esk Energy, through a height h there is a loss of all the energy can be transferred to a community hydroelectric project near Whitby, Yorkshire the turbine, and there is always some hydro gravitational potential energy Eg: E = mgh (4.1) energy dissipation in the machinery. wind g Large hydro power stations can have solar PV where g is the gravitational field (g = efficiencies of over 90%. 9.81 N kg–1). and other Equation 4.2 is often written as: renewables If this mass m flows through a m P = η ( )gh turbine in time t, the power output P t nuclear V from the generator is: = ηρ ( )gh ηmgh t P = (4.2) t = ηρQgh (4.3) and waste oil The efficiency of the process, η, is where ρ is the density of water and gas often expressed as a percentage. It is Q = V/t is the volume flow rate. total: 26 700 TWh

16 Physics Review February 2020 www.hoddereducation.co.uk/physicsreview 17