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3.3.2 Patterns and trends in energy use

Energy-use trends reflect demand and technology

Definition

Trend in energy use

A trend in energy use is a long-term change in the amount of energy used or in the proportion supplied by different resources.

  1. Data may show total consumption, consumption per person, use by sector or the share from each resource.
  2. A pattern describes the evidence, while an explanation identifies a cause.
  3. Check the period, units and whether the axis shows an amount, rate or percentage.

Demand changes across time and place

  1. Daily electricity demand rises when homes and businesses use many appliances at once and falls during low-activity periods.
  2. Seasonal demand changes with temperature and daylight, affecting heating, cooling and lighting.
  3. Industrialisation, population growth and higher incomes can raise total use through manufacturing, transport and buildings.
  4. Efficiency, insulation, changes in industry and conservation policies can reduce demand or slow its growth.
  5. Total use can rise even while use per person falls if population grows sufficiently.

The resource mix also changes

  1. Fossil-fuel use can fall when emissions limits tighten, fuel prices rise or lower-carbon technologies become cheaper.
  2. Renewable generation can rise as equipment, grids, storage and backup systems improve.
  3. Nuclear generation changes slowly because stations take years to build, operate for decades and are costly to decommission.
  4. Short-term changes may reflect weather, maintenance or fuel supply rather than a lasting trend.
Key Idea

Describe the numerical change first, then explain it with a cause that fits the same period and place.

Quantify changes before explaining them

  1. ΔE=Efinal−Einitial\Delta E=E_{\text{final}}-E_{\text{initial}}ΔE=Efinal​−Einitial​
  2. percentage change=Efinal−EinitialEinitial×100%\text{percentage change}=\frac{E_{\text{final}}-E_{\text{initial}}}{E_{\text{initial}}}\times100\%percentage change=Einitial​Efinal​−Einitial​​×100%
  3. Power is the rate of energy transfer:
  4. P=EtP=\frac{E}{t}P=tE​
  5. Use 1 kW=1000 W1\ \text{kW}=1000\ \text{W}1 kW=1000 W, 1 MW=106 W1\ \text{MW}=10^6\ \text{W}1 MW=106 W and 1 kWh=3.6×106 J1\ \text{kWh}=3.6\times10^6\ \text{J}1 kWh=3.6×106 J.
Example
  • Renewable generation rises from 80 TWh80\ \text{TWh}80 TWh to 116 TWh116\ \text{TWh}116 TWh.
  • ΔE=116−80=36 TWh\Delta E=116-80=36\ \text{TWh}ΔE=116−80=36 TWh
  • percentage increase=3680×100%=45%\text{percentage increase}=\frac{36}{80}\times100\%=45\%percentage increase=8036​×100%=45%
Practical

Conservation of energy using a trolley on a ramp

  • Aim: compare the decrease in gravitational potential energy with the increase in kinetic energy as a trolley descends a ramp.
  • Apparatus: dynamics trolley, rigid ramp, blocks and clamp, light gate and data logger, interrupt card, metre rule, balance, vertical height scale, stop block and masking tape.
  • Variables: release height is independent, speed and calculated kinetic energy are dependent, and trolley mass, ramp angle, release method, gate position and card length are controlled.
  • Method:
    • Measure the total mass mmm of the trolley and interrupt card in kilograms.
    • Secure the ramp and stop block, then place the light gate near the bottom so the card passes centrally through it.
    • Measure the interrupt-card length and set the logger to calculate speed from card length divided by blocking time.
    • Mark at least five release positions and measure each vertical height hhh above the light-gate level, not the distance along the ramp.
    • Release the trolley from the first mark without pushing and record its speed vvv at the gate.
    • Repeat at least three times, calculate the mean speed and investigate anomalous readings.
    • Repeat for every height while keeping the ramp angle and light-gate position fixed.
  • Processing: calculate ΔEg=mgh\Delta E_{\mathrm{g}}=mghΔEg​=mgh and Ek=12mv2E_{\mathrm{k}}=\dfrac{1}{2}mv^2Ek​=21​mv2, then plot EkE_{\mathrm{k}}Ek​ against ΔEg\Delta E_{\mathrm{g}}ΔEg​.
  • Expected pattern: greater height gives larger values of both energies, but kinetic energy is usually smaller because friction, air resistance, wheel rotation and sound receive energy.
  • Uncertainty and improvements: measure vertical height at eye level, use electronic timing, repeat readings, align the trolley and use a low-friction runway.
  • Safety: clamp the ramp, use a stop block, keep clear of the trolley and use a modest height.

Interpret trends without overclaiming

  1. Correlation alone does not prove causation; an explanation must be physically plausible and fit the evidence.
  2. Interpolation within the measured range is more reliable than extrapolation beyond it because the trend may change.
  3. Year-to-year fluctuations should not be called a long-term trend unless the overall pattern supports that conclusion.
Exam technique
  • Quote values with units, calculate the change, then give a cause linked to the same resource, place and period.
  • Distinguish total energy use from the percentage supplied by one resource.
  • For conservation data, account for missing measured energy as transfers to thermal and other stores.

Avoid common data errors

  1. A strong conclusion states direction, magnitude and timescale before giving a supported cause.
  2. Where evidence is limited, state that the data are consistent with an explanation rather than claiming certainty.
Common Mistake
  • Use the initial value as the denominator for percentage change.
  • Check that graph lines use the same axes and units before comparing them.
  • Do not treat a one-year weather fluctuation as a permanent trend.
Self review
  • What distinguishes a pattern from an explanation?
  • State the percentage-change equation.
  • Why can total use rise while use per person falls?
  • Why may measured kinetic energy be below the decrease in gravitational potential energy?
  • Why is extrapolation less reliable than interpolation?
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