Energy and Environment II: Hydropower, Tidal Energy, Ocean Thermal Energy Conversion, Wind, Geothermal and Solar Energy (Collectors, Photovoltaics and Solar Ponds), Bioenergy, and the Environmental Implications of Energy Use — Energy Patterns, CO₂ Emissions, Radiative Forcing and the Impacts of Large-Scale Energy Exploitation

This chapter completes Unit V. It takes the principles of generating power from water, tides, ocean temperature differences, wind, the Earth's heat and the Sun, with solar collectors, photovoltaic modules and solar ponds; the methods of producing energy from biomass; and the environmental implications of energy use: the energy use patterns of India and the world, the carbon dioxide emissions of developed and developing countries, radiative forcing and global warming, and the impacts of large-scale exploitation of solar, wind, hydro and nuclear energy. Hydropower output, the Carnot limit on ocean thermal conversion, the cube law of wind power and the radiative forcing of carbon dioxide are worked.

1. Hydropower, tidal energy and ocean thermal energy conversion

Hydropower converts the potential energy of water falling through a height into electricity: P = η ρ g Q H, where η is the overall efficiency (often 0.8 to 0.9), ρ the density of water, g the acceleration due to gravity, Q the discharge and H the head. A plant with Q = 50 m³/s, H = 20 m and η = 0.8 produces 0.8 × 1000 × 9.81 × 50 × 20 ≈ 7.8 × 10⁶ W, about 7.8 MW. Storage schemes impound a reservoir and can follow demand; run-of-river schemes divert part of the flow with little storage; pumped-storage schemes pump water uphill when power is cheap and generate at peak, acting as a giant battery. In India hydro projects of up to 25 MW are classed as small hydro. Turbines are chosen by head: Pelton wheels for high heads, Francis turbines for medium heads and Kaplan turbines for low heads.

Tidal energy uses the rise and fall of the sea, driven by the gravity of the Moon and Sun, and is therefore highly predictable. A tidal barrage across an estuary traps water at high tide and releases it through turbines; the energy available rises with the square of the tidal range, so only sites with large ranges are economic. La Rance in France (1966, 240 MW) was the first large tidal power station and Sihwa Lake in South Korea (254 MW) is the largest. Tidal-stream turbines, like underwater windmills, avoid the barrage. India's best sites are the Gulfs of Khambhat and Kachchh and the Sundarbans, but none has been developed commercially. Ocean thermal energy conversion (OTEC) runs a heat engine between warm tropical surface water and cold water pumped from about 1,000 m; it needs a temperature difference of at least about 20 °C. In a closed cycle the warm water boils a working fluid such as ammonia; in an open cycle warm sea water is flash-evaporated at low pressure, which also yields fresh water. Its efficiency is tiny because the Carnot limit is small: with surface water at 25 °C (298 K) and deep water at 5 °C (278 K), the maximum is 1 − 278/298 ≈ 6.7%, and real plants achieve only a few per cent.

2. Wind power and geothermal energy

The power in the wind passing through a rotor of swept area A is ½ρAv³, where ρ is the air density (about 1.2 kg/m³) and v the wind speed. Two consequences dominate wind engineering. First, power rises with the cube of wind speed, so doubling the speed multiplies the power by eight, and siting on windy ridges, coasts and offshore, and building taller towers to reach faster winds, matter enormously. Second, a turbine can extract only a fraction of this power, the power coefficient Cp, which cannot exceed the Betz limit of 16/27, about 59.3%, because the air must keep moving to leave the rotor; modern turbines reach about 45 to 50%. For an 80 m rotor (A ≈ 5,027 m²) in a 10 m/s wind the power in the wind is about 0.5 × 1.2 × 5,027 × 1,000 ≈ 3.0 MW, of which a turbine with Cp = 0.4 would extract about 1.2 MW. In India, Tamil Nadu and Gujarat lead in wind capacity, and offshore sites off Gujarat and Tamil Nadu are being explored.

Geothermal energy is heat from the Earth's interior, from radioactive decay and primordial heat, concentrated near plate boundaries and hot spots. Dry-steam plants use steam directly from the reservoir; flash plants lower the pressure of very hot water so that part flashes to steam; and binary-cycle plants pass moderately hot water through a heat exchanger to boil a low-boiling working fluid, extending use to lower temperatures. Ground-source heat pumps use the steady temperature of shallow ground for heating and cooling almost anywhere. Geothermal power is available round the clock, but it can release hydrogen sulphide, carbon dioxide and dissolved salts, arsenic and boron, and fluid extraction can cause subsidence and minor earthquakes. India's identified geothermal provinces, such as the Puga valley in Ladakh, Manikaran in Himachal Pradesh and Tattapani in Chhattisgarh, remain largely untapped.

⚠️ Power goes with the cube of speed, energy capture with the Betz limit
A 25% increase in wind speed nearly doubles the power (1.25³ ≈ 1.95), which is why a small error in estimating the wind resource wrecks a project's economics. And no turbine, however well designed, can capture more than 59.3% of the kinetic energy passing through it; an option claiming 80 or 90% is impossible.

3. Solar energy: collectors, photovoltaic modules and solar ponds

Solar thermal collectors convert sunlight to heat. Flat-plate collectors, a blackened absorber plate under glazing with insulation behind, heat water or air to below about 100 °C for domestic and industrial use; evacuated-tube collectors lose less heat and reach higher temperatures. Concentrating collectors focus direct sunlight: parabolic troughs and linear Fresnel reflectors onto a pipe, parabolic dishes onto a point, and fields of heliostats onto a central receiver on a tower, reaching several hundred degrees to raise steam in concentrating solar power plants, which can store heat in molten salt for generation after sunset. Concentrators use only the direct beam and so need clear skies and tracking.

A photovoltaic cell converts light directly to electricity. It is a p-n junction of a semiconductor, usually silicon, whose band gap of about 1.1 eV means that photons with enough energy free electrons, which the junction's electric field drives through an external circuit as direct current. Cells are connected into modules and modules into arrays, and an inverter converts the output to alternating current. Crystalline silicon, monocrystalline or polycrystalline, dominates the market, with commercial module efficiencies of about 20%; thin-film technologies use cadmium telluride, copper indium gallium selenide or amorphous silicon, and perovskites are an emerging material. A single-junction cell cannot exceed the Shockley-Queisser limit of about 33%, because photons with less energy than the band gap are not absorbed and the excess energy of more energetic photons is lost as heat; multi-junction cells stack band gaps to exceed it. Output falls as cells get hotter and as dust accumulates.

A solar pond is a large, shallow body of water that collects and stores solar heat by preventing convection. In a salt-gradient pond, salinity increases with depth in three zones: a thin upper convective zone of nearly fresh water; a non-convective (gradient) zone in which salinity rises steadily with depth, so that water warmed below remains denser than the water above it and cannot rise; and a lower convective zone of concentrated brine that acts as the heat store and can reach about 80 to 90 °C. Heat is drawn off from the bottom for process heat, desalination or low-temperature power generation. India's best-known example is the solar pond at Bhuj in Gujarat, which supplied process heat to a dairy.

4. Bioenergy: methods of producing energy from biomass

RouteProcessProducts and uses
Thermochemical: direct combustionBurning wood, crop residues or bagasse in stoves, boilers and power plantsHeat and steam; bagasse cogeneration in sugar mills
Thermochemical: gasificationPartial oxidation with limited air or oxygen at high temperatureProducer gas (carbon monoxide, hydrogen, some methane, with nitrogen) for engines and heating
Thermochemical: pyrolysisHeating in the absence of oxygenBio-oil, charcoal or biochar (a soil amendment that stores carbon) and gas
Biochemical: anaerobic digestionBacteria break down wet biomass (manure, food waste, sewage sludge) without oxygen in four stages: hydrolysis, acidogenesis, acetogenesis and methanogenesisBiogas of about 55 to 65% methane and 35 to 45% carbon dioxide, and a nutrient-rich slurry used as manure; compressed biogas for vehicles
Biochemical: fermentationYeast ferments sugars from cane, molasses and grain, or sugars released from cellulose, to ethanolFuel ethanol blended with petrol
Physico-chemical: transesterificationVegetable oils or animal fats react with methanol in the presence of a catalystBiodiesel (fatty acid methyl esters) and glycerol

Biomass is renewable and, if regrown, close to carbon neutral, but only if the carbon released is reabsorbed by new growth and if land-use change and fossil inputs are counted. Burning biomass in open stoves remains one of the world's largest causes of indoor air pollution, which is why cleaner cookstoves, biogas and LPG matter for health. India's National Policy on Biofuels (2018), amended in 2022, brought forward the target of blending 20% ethanol in petrol to 2025–26, and the SATAT scheme (2018) promotes compressed biogas from waste.

5. Environmental implications of energy use: patterns, CO₂ emissions, radiative forcing and global warming, and the impacts of large-scale exploitation

Fossil fuels still supply about four-fifths of the world's primary energy, with oil the largest single source, followed by coal and natural gas; renewables are the fastest-growing source of electricity. India's energy system is more coal-dependent than the world's: coal supplies more than half of its primary energy and the majority of its electricity, oil is largely imported, and per-capita energy use is well below the world average. India's updated nationally determined contribution (2022) commits it to reducing the emissions intensity of its GDP by 45% from the 2005 level by 2030 and to about 50% of installed electric power capacity from non-fossil sources by 2030, and it has pledged net-zero emissions by 2070.

Emissions differ sharply between developed and developing countries, and it matters which measure is used. China has been the largest annual emitter of carbon dioxide since the mid-2000s, the United States is second and India third. Per person, however, India emits under half the world average, far below the United States and the European Union; and cumulatively, the measure that matters for warming because carbon dioxide persists for centuries, the United States has emitted the largest share since the industrial revolution, followed by the European Union and China. This is the scientific basis of the principle of common but differentiated responsibilities.

Radiative forcing is the change in the net energy flux at the tropopause, in W/m², caused by a change in a driver of climate, positive forcing warming the system. For carbon dioxide it is approximately ΔF = 5.35 ln(C ÷ C₀): doubling carbon dioxide gives 5.35 × ln 2 ≈ 3.7 W/m², and the rise from about 280 ppm to about 420 ppm gives 5.35 × ln 1.5 ≈ 2.2 W/m². The logarithm means each additional ppm adds a little less forcing than the one before. Global warming potentials compare other gases with carbon dioxide over 100 years: about 27 to 30 for methane and 273 for nitrous oxide in the IPCC's Sixth Assessment Report, and thousands for many fluorinated gases. That report found global surface temperature in 2011–2020 about 1.1 °C above 1850–1900 and gave a best estimate of 3 °C for the equilibrium warming from a doubling of carbon dioxide. Aerosols, mostly from the same fossil combustion, exert a negative forcing that masks part of the warming.

Source exploited at large scaleEnvironmental impacts
SolarLarge land requirement for utility-scale parks, often on grazing land or habitat; water for panel cleaning in dry regions; end-of-life panel waste and, for some thin films, cadmium and other hazardous materials
WindCollisions of birds and bats with blades; noise and visual intrusion; land for roads and foundations; habitat fragmentation on ridges and in grasslands such as those of the great Indian bustard
HydroSubmergence of forests, farmland and villages and displacement of people; blocked fish migration; trapped sediment starving deltas; altered downstream flows; methane from decomposing vegetation in tropical reservoirs; reservoir-induced seismicity, as at Koyna in 1967
NuclearRisk of severe accidents; long-lived high-level waste; uranium mining and mill tailings; thermal pollution of cooling water; weapons proliferation concerns

Key takeaways

  • Hydropower P = η ρ g Q H; tidal energy rises with the square of the range (La Rance 1966, Sihwa the largest); OTEC is limited by a Carnot efficiency of only about 6 to 7% on a 20 °C difference.
  • Wind power is ½ρAv³, so doubling speed gives eight times the power, and no turbine can exceed the Betz limit of 59.3%; geothermal plants are dry-steam, flash or binary.
  • Flat-plate collectors heat water, concentrators raise steam, silicon PV cells convert light directly (single-junction limit about 33%), and salt-gradient solar ponds trap heat in a bottom brine layer.
  • Biomass becomes energy by combustion, gasification, pyrolysis, anaerobic digestion (biogas), fermentation (ethanol) and transesterification (biodiesel).
  • China emits most each year, the United States most cumulatively and India far less per person; CO₂ forcing is 5.35 ln(C ÷ C₀), about 3.7 W/m² for a doubling; every large-scale source, renewable or nuclear, has its own environmental costs.

Practice questions (10)

Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.

  1. A hydroelectric plant has a discharge of 50 m³/s, a net head of 20 m and an overall efficiency of 0.8. Taking ρ = 1,000 kg/m³ and g = 9.81 m/s², what is its power output in MW, to one decimal place?

    Numerical answer — type the value.

    Show answer

    Answer: 7.8

    P = η ρ g Q H = 0.8 × 1000 × 9.81 × 50 × 20 = 7,848,000 W, which is 7.8 MW. Omitting the efficiency gives 9.8 MW, the power of the falling water rather than the electrical output.
  2. An OTEC plant uses surface water at 25 °C and deep water at 5 °C. What is the maximum (Carnot) efficiency in per cent, to one decimal place? Use T(K) = T(°C) + 273.

    Numerical answer — type the value.

    Show answer

    Answer: 6.7

    η = 1 − Tc ÷ Th = 1 − 278 ÷ 298 = 20 ÷ 298 = 0.067, or 6.7%. Using Celsius, 1 − 5 ÷ 25 = 80%, is the classic error: the Carnot formula needs absolute temperatures, and the small 20 K difference is why OTEC efficiency is so low.
  3. The Betz limit states that a wind turbine can extract at most about what fraction of the kinetic energy of the wind passing through its rotor?

    1. 59.3% (16/27)
    2. 33%
    3. 85%
    4. 100%
    Show answer

    Answer: A — 59.3% (16/27)

    Betz showed that if a turbine stopped the air completely no more air could pass through, so the optimum slows it to one-third of the upstream speed and extracts 16/27, about 59.3%. The 33% figure is the Shockley-Queisser limit for single-junction solar cells, a different device.
  4. Which statements about a salt-gradient solar pond are correct? Select all that apply.

    1. It works because the hottest water rises to the surface, where heat is drawn off
    2. The lower convective zone of concentrated brine acts as the heat store
    3. In the non-convective zone salinity increases with depth, which suppresses convection
    4. The upper convective zone is saturated brine
    Show answer

    Answer: B — The lower convective zone of concentrated brine acts as the heat store; C — In the non-convective zone salinity increases with depth, which suppresses convection

    The salinity gradient keeps the warm bottom water denser than the water above, so it cannot rise and lose its heat, and the bottom brine stores heat at up to about 80 to 90 °C. The upper zone is nearly fresh, and heat is drawn from the bottom, not the surface.
  5. If the wind speed at a site doubles, the power available in the wind increases by a factor of

    1. 16
    2. 2
    3. 4
    4. 8
    Show answer

    Answer: D — 8

    Wind power is ½ρAv³, so it scales with the cube of speed: 2³ = 8. A factor of 4 would apply to the kinetic energy per unit mass (v²), forgetting that more air also passes through the rotor per second as speed rises.
  6. Assertion (A): Reservoirs of hydropower projects in the tropics can be significant sources of greenhouse gases. Reason (R): Vegetation and soil flooded by the reservoir decompose under anaerobic conditions, producing methane. Choose the correct option.

    1. Both A and R are true, and R is the correct explanation of A
    2. Both A and R are true, but R is not the correct explanation of A
    3. A is true, but R is false
    4. A is false, but R is true
    Show answer

    Answer: A — Both A and R are true, and R is the correct explanation of A

    Both are true and R explains A. Warm, stratified tropical reservoirs have anoxic bottom water in which flooded organic matter is converted to methane, released at the surface and through turbines and spillways, so hydropower is not always as low-carbon as its lack of combustion suggests.
  7. Biodiesel is produced from vegetable oils mainly by

    1. gasification
    2. transesterification with methanol
    3. anaerobic digestion
    4. yeast fermentation
    Show answer

    Answer: B — transesterification with methanol

    Triglyceride oils react with methanol over a catalyst to give fatty acid methyl esters (biodiesel) and glycerol. Anaerobic digestion yields biogas, fermentation yields ethanol, and gasification yields producer gas.
  8. Which of the following are thermochemical routes for converting biomass to energy? Select all that apply.

    1. Anaerobic digestion
    2. Direct combustion
    3. Gasification
    4. Pyrolysis
    Show answer

    Answer: B — Direct combustion; C — Gasification; D — Pyrolysis

    Combustion, gasification and pyrolysis all use heat, with full, partial or no oxidation respectively, to release energy or make fuels. Anaerobic digestion is biochemical: it relies on bacteria working at ordinary temperatures to make biogas.
  9. Using ΔF = 5.35 ln(C ÷ C₀), what is the radiative forcing in W/m² from a rise in carbon dioxide from 280 ppm to 420 ppm? Give the answer to one decimal place.

    Numerical answer — type the value.

    Show answer

    Answer: 2.2

    C ÷ C₀ = 420 ÷ 280 = 1.5, ln 1.5 = 0.405, and 5.35 × 0.405 = 2.17, which is 2.2 W/m². Treating the relation as linear, for example 3.7 × (140 ÷ 280) = 1.85, ignores the logarithm.
  10. Which country has emitted the largest share of cumulative carbon dioxide since the industrial revolution?

    1. Russia
    2. China
    3. India
    4. The United States
    Show answer

    Answer: D — The United States

    The United States has the largest cumulative share, though China has been the largest annual emitter since the mid-2000s. India is the third-largest annual emitter but has a small cumulative share and a per-capita emission under half the world average, the basis of its argument under common but differentiated responsibilities.