Renewable Energy — Print · Grade 12 Science

Chapter: Energy, Water & Material Resources

Renewable Energy

Learning goals

Readings for this unit

Before this unit

Power versus energy and storage.

Use the detailed parent plan: two core 50–60-minute sessions per focused unit, with a third assigned for selected calculation/modeling topics. First study the core explanation and Parts 1–2 with their figures/checks; next study Parts 3–4, the whole-unit application, worked cases, varied practice and exit check. Attempt reasoning before opening guidance. Extend time when actual understanding requires it; investigations and chapter assessments have separate sessions.

Start with something to explain

Why can equal-capacity generators deliver different annual energy?

Illustrative evidence case. Their resource availability, operation and downtime differ.

Renewability concerns replenishment, not impact-free operationRenewability concerns replenishment, not impact-free operationContinuingnatural fluxSun / wind / watercycleConversiondeviceSite and technologyDeliveredserviceUseful outputRenewable does not mean unlimited at every place and time.Biomass sustainability also requires replacement and ecosystem checks.
Original renewable-flow model, not a ranking of specific technologies or locations.

Notice and wonder

Record two observations using the stated quantities or relationships. Keep observations separate from possible causes. Write one question that a new measurement could help answer.

Why can equal-capacity generators deliver different annual energy?

Your first model

Separate nameplate power, time-integrated output and hourly service.

Build the language from the idea

renewable energy
Energy drawn from sources that nature replenishes on a human timescale — sunlight, wind, flowing water, Earth's internal heat, and plant matter.
photovoltaic (PV) cell
A device, usually made of silicon, that converts sunlight directly into electricity.
intermittency
The tendency of some renewable sources — especially solar and wind — to produce power only when the sun is shining or the wind is blowing, rather than on demand.
capacity factor
The fraction of the time a power source actually delivers its maximum possible output, written as a percent; intermittent sources have lower capacity factors than steady ones.

Renewable energy draws on replenishing processes such as sunlight, wind, flowing water, geothermal heat, and biomass growth. Replenishment does not imply unlimited local extraction or no environmental impacts. Biomass harvest can exceed regrowth, and water or geothermal use can affect the supporting system. Compare useful output, timing, materials, land, water, and lifecycle effects under the proposed conditions.

Renewability concerns replenishment, not impact-free operationRenewability concerns replenishment, not impact-free operationContinuingnatural fluxSun / wind / watercycleConversiondeviceSite and technologyDeliveredserviceUseful outputRenewable does not mean unlimited at every place and time.Biomass sustainability also requires replacement and ecosystem checks.
Original renewable-flow model, not a ranking of specific technologies or locations.

Photovoltaic cells convert incident light into electrical output without combustion at the panel. Output varies with irradiance, temperature, orientation, and device conditions; clouds often reduce output rather than making it universally zero. No sunlight at night requires another delivery source or stored energy. Manufacturing, transport, infrastructure, and end-of-life stages contribute to a wider environmental account beyond panel operation.

Wind turbines convert the kinetic energy of moving air into electricity, and thanks to steady improvements they are now among the cheapest sources of new power anywhere. Wind emits nothing as it runs, and the land beneath a turbine can still be farmed or grazed. The trade-offs: wind is intermittent (it blows when it blows, not when you need it), turbines can kill birds and bats, some people object to their look and noise, and the best winds are often offshore or in remote regions far from cities. Hydroelectric power, by contrast, is wonderfully controllable — a dam can release water to make electricity on demand — but building the dam floods large areas of land, blocks fish migration, traps sediment, and permanently reshapes a river.

Geothermal energy taps the natural heat of Earth's interior, using hot water or steam from underground to spin turbines or warm buildings directly. Because that heat never stops flowing, geothermal runs steadily around the clock with a small surface footprint — but it is largely limited to geologically active regions like Iceland or the western United States, where the heat is close enough to the surface to reach affordably. Biomass means burning plant matter or waste — wood, crop residue, or biogas — or refining crops into liquid biofuels like ethanol. Biomass is sometimes called 'carbon-neutral' because the plants absorbed CO2 as they grew, so regrowing them can reabsorb what burning releases. But that only holds if the plants are genuinely replaced, burning still produces air pollution, and growing fuel crops can compete with food and clear forests.

Nameplate capacity and actual generated energy are different quantities. Capacity factor is actual energy over an interval divided by the energy that continuous nameplate output would provide during that interval. It is not simply the fraction of time a source runs at full output and is not conversion efficiency. Dispatchability describes the ability to control delivery under operating constraints; hydrological, fuel, equipment, and other limits still matter.

Installed power and generated energy are different quantitiesInstalled power and generated energy are different quantitiesQuantityExampleMeaningRated capacity2 kWSpecified output at ratedconditionTime interval24 hMaximum at rating=48 kWhActual energy12 kWhCapacity factor=12/48=25%Capacity factor is not energy-conversion efficiency.
Original supplied generation record with a fixed rated capacity.

And planning around intermittency is the central engineering challenge of a renewable future. When the wind dies down at dinnertime or clouds roll over a solar farm, the grid still has to keep the lights on. The answer is energy storage — grid-scale batteries, or clever tricks like pumping water uphill to release later — together with smarter grids that shift and share power across wide regions. Renewables are a powerful technological solution for reducing human impact on the climate and on finite fuel supplies, but realizing that promise depends less on the panels and turbines themselves than on solving the storage-and-timing puzzle around them.

Energy timing and storage losses can change adequacyEnergy timing and storage losses can change adequacyHour blockDemandGenerationStorage change beforelossesDaylight10 kWh16 kWh+6 kWhNight8 kWh0 kWh−8 kWh neededDaily total18 kWh16 kWhDeficit before lossesA daily energy total does not guarantee hourly adequacy.
Illustrative two-block supply/demand account; it is not an optimized real grid design.

Model check: Renewable describes replenishment, not zero impact or unlimited site availability. 12/(2×24)=.25=25%; it is not conversion efficiency.

Build your understanding

Use the detailed parent plan: two core 50–60-minute sessions per focused unit, with a third assigned for selected calculation/modeling topics. First study the core explanation and Parts 1–2 with their figures/checks; next study Parts 3–4, the whole-unit application, worked cases, varied practice and exit check. Attempt reasoning before opening guidance. Extend time when actual understanding requires it; investigations and chapter assessments have separate sessions.

Part 1 · Define renewability on a relevant timescale

A renewable resource is replenished by continuing natural processes on a relevant timescale. Sunlight and wind are flows, while harvested biomass also requires a stock/replacement account. Renewable does not mean available at every hour, free of construction materials or harmless at every scale. Identify the replenishing process, site limits and delivered service before comparing technologies, and assess ecological effects separately from the renewable label.

Renewability concerns replenishment, not impact-free operationRenewability concerns replenishment, not impact-free operationContinuingnatural fluxSun / wind / watercycleConversiondeviceSite and technologyDeliveredserviceUseful outputRenewable does not mean unlimited at every place and time.Biomass sustainability also requires replacement and ecosystem checks.
Original renewable-flow model, not a ranking of specific technologies or locations.

Read the visual model

Identify the labeled structures and units, then trace the arrows or compare values under the caption’s stated conditions. Separate the displayed evidence from a further inference. Write your reasoning before opening the guidance.

Could biomass use exceed its sustainable replacement even though biomass is called renewable?

Visual reasoning — after your attempt

Yes. Harvest, regrowth, land use and ecological conditions determine whether the actual use is replenished acceptably.

Renewable resources are replenished through ongoing processes on timescales relevant to use, but availability and sustainable extraction can still be limited. Biomass harvest can exceed regrowth; river or wind conditions can vary. Renewable does not mean unlimited, impact-free, or available at every hour.

A forest resource needs a growth-and-harvest account. Solar input is recurrent, but a panel’s materials and performance need separate analysis.

Pause and explain

Can a renewable resource be overused?

Check your reasoning after answering

Yes. Extraction can exceed local replenishment or harm the system that supports it, even when the resource has a renewal process.

Part 2 · Separate capacity and generated energy

Rated capacity is a power specification, while generated energy sums actual output over time. Capacity factor is actual energy divided by rated capacity times elapsed time. It reflects resource timing, outages and operating choices, not merely conversion efficiency. A 2 kW source generating 12 kWh in 24 h has 25% capacity factor even though its actual conversion efficiency is not supplied. Keep kW, kWh and percent roles separate.

Installed power and generated energy are different quantitiesInstalled power and generated energy are different quantitiesQuantityExampleMeaningRated capacity2 kWSpecified output at ratedconditionTime interval24 hMaximum at rating=48 kWhActual energy12 kWhCapacity factor=12/48=25%Capacity factor is not energy-conversion efficiency.
Original supplied generation record with a fixed rated capacity.

Read the visual model

Identify the labeled structures and units, then trace the arrows or compare values under the caption’s stated conditions. Separate the displayed evidence from a further inference. Write your reasoning before opening the guidance.

A 3 kW system generates 18 kWh in 24 h. What is capacity factor?

Visual reasoning — after your attempt

18/(3×24)=0.25=25%.

Nameplate power describes output under specified conditions, while generated energy integrates actual output over time. A capacity factor compares actual energy with continuous nameplate operation over the same interval. It is not the same as conversion efficiency or instantaneous output.

A 1 kW device operating at full output for 5 hours generates 5 kWh; a 24-hour comparison must include the remaining hours.

Pause and explain

Why is a capacity factor not panel efficiency?

Check your reasoning after answering

It describes output utilization relative to nameplate over time, while efficiency compares energy conversion input and output under defined conditions.

Part 3 · Account for timing, storage, and losses

A source can produce substantial daily energy while failing to meet demand at certain hours. Storage shifts energy through time but has capacity, power and round-trip-loss limits; it does not create the missing energy in a daily deficit. The displayed 16 kWh generation is already below 18 kWh demand before losses. Compare time-resolved supply and demand, initial storage state and allowable shortfalls rather than assuming an annual energy total guarantees continuous service.

Energy timing and storage losses can change adequacyEnergy timing and storage losses can change adequacyHour blockDemandGenerationStorage change beforelossesDaylight10 kWh16 kWh+6 kWhNight8 kWh0 kWh−8 kWh neededDaily total18 kWh16 kWhDeficit before lossesA daily energy total does not guarantee hourly adequacy.
Illustrative two-block supply/demand account; it is not an optimized real grid design.

Read the visual model

Identify the labeled structures and units, then trace the arrows or compare values under the caption’s stated conditions. Separate the displayed evidence from a further inference. Write your reasoning before opening the guidance.

Can loss-free storage alone eliminate the displayed net daily 2 kWh deficit indefinitely?

Visual reasoning — after your attempt

No. It can shift timing but cannot replace a persistent energy deficit without another input.

Demand and generation must be compared over time, not only by equal daily totals. Storage can shift delivery but involves capacity, power limits, and energy loss. Different resources and demand management can complement one another; a daily sum alone cannot guarantee continuous service.

Surplus midday generation does not automatically meet an evening load unless transfer or storage is specified.

Pause and explain

What is missing when generation and demand totals match but times differ?

Check your reasoning after answering

A delivery-timing account, including storage or other sources, losses, and relevant power constraints, is needed.

Part 4 · Compare alternatives by service and impacts

A functional unit is the common service basis for comparison, such as 1000 kWh delivered under a defined timing/reliability condition. Life-cycle impacts include material production, land, water, maintenance and end-of-life as relevant. Different technologies can shift burdens between these pathways. State what evidence is measured, estimated or missing, and avoid replacing a multi-criterion decision with a claim that one label guarantees the best result everywhere.

An equal-service comparison needs multiple impact pathwaysAn equal-service comparison needs multiple impact pathwaysEqual service comparisonOption AOption BDelivered electricity1000 kWh1000 kWhOperational emissionsEstimate withboundaryEstimate withboundaryMaterials / land / waterMeasure relevanteffectsMeasure relevanteffectsTiming / accessMatch servicerequirementMatch servicerequirementCompare a common functional unit and report tradeoffs.
Original equal-service comparison checklist; no present-day cost or performance claim is made.

Read the visual model

Identify the labeled structures and units, then trace the arrows or compare values under the caption’s stated conditions. Separate the displayed evidence from a further inference. Write your reasoning before opening the guidance.

Why is equal rated capacity alone not necessarily equal service?

Visual reasoning — after your attempt

Generation timing, capacity factor, losses and reliability can differ, changing delivered energy and adequacy.

Energy alternatives involve land, materials, water, ecological effects, reliability, and lifecycle emissions as well as operating output. Use the same useful service and boundary to compare them. A technology label should not substitute for measurements of the proposed location and system.

A lower-emission operating stage can still need careful material or land-use assessment. Distinguish an impact reduction from a claim of no impacts.

Pause and explain

What evidence supports a local technology choice?

Check your reasoning after answering

Site resource measurements, output timing, demand, lifecycle inputs, constraints, and uncertainties support a choice better than the technology name alone.

Apply the whole unit · Calculate output and stored delivery

Illustrative renewable generator has nameplate 2.00 kW and produces 12.0 kWh in 24 hours. Of that output,4.00 kWh passes through storage with round-trip efficiency 0.800; the rest is delivered directly.

Your task

Find capacity factor and delivered energy under this account. Explain why these totals cannot demonstrate that demand is met continuously or establish lifecycle environmental impact.

What your response should show

  • Define the system, quantities, units, and relevant conditions before selecting a model.
  • Show intermediate calculations or a labeled evidence account, including signs or denominators.
  • Explain how the supplied evidence supports the conclusion rather than reporting only an answer.
  • Identify a meaningful uncertainty, model limit, or measurement needed to test the conclusion.
Response guidance — after your attempt
  1. Continuous-nameplate reference=2.00×24=48.0 kWh.

  2. Capacity factor=12.0/48.0=25.0%.

  3. Delivered energy=8.00+0.800×4.00=11.2 kWh, with 0.800 kWh storage loss.

The capacity factor concerns utilization over the interval, not conversion efficiency. The delivered total still lacks generation and demand timing, storage power limits, and backup information. Lifecycle effects require material, construction, operation, and end-of-life evidence rather than being inferred from renewability alone.

Scientific references and source-model foundations

Parent / teacher teaching notes

Ask learners to distinguish kW and kWh, and to draw a simple input/direct-output/storage account. Treat capacity factor and conversion efficiency as different ratios. Ask the learner to explain each symbol, axis, unit and arrow before calculating. Calculated examples, supplied illustrative records and actual historical observations are labeled separately. Selected public OpenSciEd middle-school source figures are foundation examples, not complete high-school editions or an endorsement; all advanced explanations are supplied locally.

Typical Capacity Factor by Sourcecapacity factor (%)75%60%40%35%25%GeothermalBiomassHydroWindSolarIntermittent sources (wind, solar) run a smaller share of the time.
Illustrative capacity factors are generated energy divided by rated capacity×time. They are not the percentage of time operating at full output, not conversion efficiency and not current measurements of particular installations.

The key idea

Renewability concerns replenishment timescales. Capacity factor, conversion efficiency, storage losses and reliable delivered service are separate quantities with real tradeoffs.

Capacity Factor

capacity factor = average actual output / maximum (nameplate) capacity

the result is written as a fraction or percent; steady sources like geothermal have high capacity factors, while intermittent solar and wind have lower ones because they only produce power when the sun shines or wind blows. Rearranged, average output = nameplate capacity x capacity factor.

Worked examples

Example 1

A wind farm has a maximum (nameplate) capacity of 100 megawatts (MW). Over a full year, it actually produces enough electricity to average 35 MW of power. What is its capacity factor, and why is it well below 100%?
  1. Capacity factor = average actual output divided by maximum possible output.
  2. Substitute the numbers: 35 MW / 100 MW = 0.35.
  3. Convert to a percent: 0.35 x 100 = 35%.
  4. It is far below 100% because wind is intermittent — the turbines only reach full output when the wind is strong, and much of the year the wind is lighter or calm.
Answer: The capacity factor is 35%. The gap from 100% reflects the intermittency of wind — it isn't blowing at full strength every hour of the year.

Example 2 · Worked application

A solar array is rated 5 kW and produces an equivalent of 4 full-output hours in a day. Estimate energy.
  1. Use energy=power×equivalent operating time.
  2. 5×4=20 kWh.
  3. This is an illustrative equivalent-hours calculation, not a prediction of constant output all day.
Answer: 20 kWh.
Check the reasoning

Rated power and actual time-integrated energy differ.

Example 3

A 2 kW turbine produces 12 kWh in 24h. Find capacity factor.
  1. Identify the relevant quantities or mechanism.
  2. 12/(2×24)=.25=25%; it is not conversion efficiency.
  3. State the model and conditions.
Answer: 12/(2×24)=.25=25%; it is not conversion efficiency.

Example 4 · Find and fix the mistake

Context: A solar array is rated 5 kW and produces an equivalent of 4 full-output hours in a day. Estimate energy. A student claims: “A 5 kW solar rating guarantees 120 kWh every day.” Evaluate the claim and write a corrected explanation.
  1. Test the claim against the stated conditions: Rated power and actual time-integrated energy differ.
  2. Output varies with sunlight, weather, orientation and losses; 24 hours at rating is not a usual operating assumption.
Answer: Output varies with sunlight, weather, orientation and losses; 24 hours at rating is not a usual operating assumption.
Check the reasoning

Rated power and actual time-integrated energy differ.

Example 5 · Reason from the visual model

Energy timing and storage losses can change adequacyEnergy timing and storage losses can change adequacyHour blockDemandGenerationStorage change beforelossesDaylight10 kWh16 kWh+6 kWhNight8 kWh0 kWh−8 kWh neededDaily total18 kWh16 kWhDeficit before lossesA daily energy total does not guarantee hourly adequacy.
Illustrative two-block supply/demand account; it is not an optimized real grid design.
Can loss-free storage alone eliminate the displayed net daily 2 kWh deficit indefinitely?
  1. A source can produce substantial daily energy while failing to meet demand at certain hours. Storage shifts energy through time but has capacity, power and round-trip-loss limits; it does not create the missing energy in a daily deficit. The displayed 16 kWh generation is already below 18 kWh demand before losses. Compare time-resolved supply and demand, initial storage state and allowable shortfalls rather than assuming an annual energy total guarantees continuous service.
  2. No. It can shift timing but cannot replace a persistent energy deficit without another input.
Answer: No. It can shift timing but cannot replace a persistent energy deficit without another input.
Check the reasoning

Illustrative two-block supply/demand account; it is not an optimized real grid design.

Avoid these mistakes

Check your understanding

A 2 kW turbine produces 12 kWh in 24h. Find capacity factor.

Discuss the answer

12/(2×24)=.25=25%; it is not conversion efficiency.

Return to the phenomenon

Return to the initial case. Why can equal-capacity generators deliver different annual energy? Revise your drawing or explanation using two named ideas and one stated limitation.

Compare explanations after your attempt

Capacity factor summarizes energy relative to rating; storage and reliability need their own time-resolved accounts.

What should we investigate next?

Which comparison would test a remaining uncertainty? State what you would change, keep comparable and measure.

Investigate, calculate and revise

Keep a first model and an evidence-supported revision. Attempt each task before opening guidance; all required explanations and supplied-data routes are available locally.

Activity 1 · Return to the opening case

Assigned reading and preparation

Use the opening phenomenon, unit definitions and explained Parts 1–4.

Your task

Return to the initial case. Why can equal-capacity generators deliver different annual energy? Revise your drawing or explanation using two named ideas and one stated limitation.

Success criteria

  • Use the stated observations and appropriate units.
  • Connect a labeled model with the physical/environmental mechanism.
  • State assumptions and an evidence limitation.
  • Explain a substantive revision or next test.
Hint

Keep object/material identity, material transfer and energy account distinct.

Response guidance — discuss after your attempt

Capacity factor summarizes energy relative to rating; storage and reliability need their own time-resolved accounts.

Activity 2 · Transfer to a changed case

Assigned reading and preparation

Cover the worked answer and use the explained models, relationships and notebook.

Your task

A 5 kW system has 30% capacity factor for 2000 h. Find generated energy. If storage returns 80% of an allocated 500 kWh, how much useful stored energy returns?

Success criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.
Hint

Name known quantities and conditions, show intermediate steps and check conservation.

Response guidance — discuss after your attempt

Generation=5×0.30×2000=3000 kWh. The allocated storage input returns 400 kWh and loses/transfers 100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Words to know

renewable energy
Energy drawn from sources that nature replenishes on a human timescale — sunlight, wind, flowing water, Earth's internal heat, and plant matter.
photovoltaic (PV) cell
A device, usually made of silicon, that converts sunlight directly into electricity.
intermittency
The tendency of some renewable sources — especially solar and wind — to produce power only when the sun is shining or the wind is blowing, rather than on demand.
capacity factor
The fraction of the time a power source actually delivers its maximum possible output, written as a percent; intermittent sources have lower capacity factors than steady ones.

How much sunlight? Far more than we could ever use

The scale of the solar resource is hard to overstate. The Sun bathes the Earth in roughly 173,000 terawatts of power continuously, while all of human civilization uses on the order of just 18 terawatts. Put another way, enough sunlight strikes the Earth in a single hour to power everything humanity does for an entire year. The challenge of solar energy, then, has never really been quantity — it is capturing that diffuse, on-and-off energy affordably and storing it for when the Sun isn't shining. Every advance in cheaper panels and better batteries chips away at that engineering puzzle rather than at any shortage of sunlight.

The duck curve: when too much solar becomes its own problem

Grid operators in sunny places like California watch a graph nicknamed the duck curve. As rooftop and utility solar flood the grid at midday, the net demand that other power plants must meet sags into the shape of a duck's belly — then, as the sun sets and people arrive home and switch everything on, demand shoots up the duck's 'neck' in just a few hours. Meeting that steep evening ramp without cheap storage forces operators to fire up fast, often gas-burning, 'peaker' plants. The duck curve is a vivid reminder that a renewable grid's hardest problem is timing, not total energy.

Not all 'green' is equal: the trade-offs of dams and biofuels

It is tempting to treat 'renewable' as a synonym for 'harmless,' but the two are not the same. Large hydroelectric dams flood whole valleys and ecosystems, block fish migrations, and — surprisingly — can emit significant methane as drowned vegetation rots in the reservoir. Corn ethanol, a common biofuel, can take nearly as much fossil energy to grow, fertilize, and distill as it ultimately delivers, and growing fuel crops competes with growing food. The lesson is that 'renewable' describes where the energy comes from, while 'sustainable' describes whether we can keep doing it without serious harm — and a source can be one without fully being the other.

Pumped hydro: the world's biggest battery is made of water

When people picture grid storage they think of giant lithium batteries, but by far the most energy stored on the world's grids today sits in pumped-storage hydropower. The idea is elegantly simple: when electricity is cheap and plentiful, surplus power pumps water uphill into a high reservoir; when demand spikes, that water is released back down through turbines to regenerate electricity, at round-trip efficiencies near 80%. New York runs exactly such a plant — the Blenheim-Gilboa pumped-storage project in the Catskills — which acts like a huge rechargeable battery for the regional grid, smoothing out the peaks and valleys of demand.

New York's offshore wind bet

New York has committed by law to getting 70% of its electricity from renewables by 2030 and to building 9,000 megawatts of offshore wind by 2035. That target moved from paper to reality when South Fork Wind, off the eastern tip of Long Island, delivered its first power in late 2023 as one of the first utility-scale offshore wind farms in the United States. Offshore wind is attractive for a densely populated coastal state because ocean winds are strong and steady and the turbines sit far from most neighborhoods — though the projects still must navigate costs, fishing interests, and effects on marine life, the familiar trade-offs of any real energy choice.

In the real world

New York's plan to power the state largely with offshore wind farms off Long Island and big upstate solar arrays is a real-world bet on renewables — and on solving their intermittency with grid-scale batteries.

Exit check

A2 kW turbine produces 12 kWh in 24h. Find capacity factor.

Check your explanation after answering

12/(2×24)=.25=25%; it is not conversion efficiency.

Explain your reasoning without notes. If a key idea is missing, revisit the lesson and try again.

Problem 1

Which device converts sunlight directly into electricity?
  1. A wind turbine
  2. A photovoltaic (solar) cell
  3. A steam turbine
  4. A geothermal well
Answer and explanation

A photovoltaic (solar) cell

A photovoltaic cell turns sunlight straight into electricity with no moving parts.

Problem 2

Which renewable energy source uses the kinetic energy of moving air?
  1. Hydroelectric
  2. Geothermal
  3. Wind
  4. Biomass
Answer and explanation

Wind

Wind turbines capture the kinetic energy of moving air and convert it into electricity.

Problem 3

A solar farm has a nameplate capacity of 80 MW but averages only 20 MW of output over the year. What is its capacity factor, as a percent?
Answer and explanation

25 %

Capacity factor = average output / maximum output = 20 / 80 = 0.25 = 25%.

Problem 4

Which of these is a genuine drawback of large hydroelectric dams?
  1. They produce no electricity at all during the day
  2. They cannot be turned on or off to match demand
  3. They release more CO2 than a coal plant
  4. They can flood large areas of land and block fish migration
Answer and explanation

They can flood large areas of land and block fish migration

Dams flood land behind them and block migrating fish, and they trap sediment and reshape rivers — real ecological trade-offs even though the power itself is clean.

Problem 5

'Intermittency' means that a power source...
  1. only produces power when its natural input, like sun or wind, is available
  2. produces exactly the same output every hour of the day
  3. can never be stored in any form
  4. releases greenhouse gases as it runs
Answer and explanation

only produces power when its natural input, like sun or wind, is available

Intermittent sources such as solar and wind generate power only when the sun shines or the wind blows, not on demand.

Problem 6

Biomass is sometimes described as 'carbon-neutral.' Explain the reasoning behind that claim and one important condition that must be met for it to actually hold true.
Answer and explanation

Burning biomass releases CO2, but the plants pulled that same CO2 out of the air through photosynthesis while they were growing, so in principle the net addition to the atmosphere can be close to zero. For this to truly hold, the plants must actually be regrown at the same rate they are burned, so the released carbon is reabsorbed. If forests are cleared faster than they regrow (or if lots of fossil fuel is used to grow, harvest, and transport the biomass), it is not really carbon-neutral.

Problem 7

A wind generator supplies average 2 kW over 10 h. Find energy. Show the reasoning, not just the conclusion.
Hints

Rated power and actual time-integrated energy differ.

Answer and explanation

20 kWh.

Problem 8

Why might renewable deployment still need storage, transmission or demand management?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Supply varies in time and location; useful service requires matching production to demand and grid constraints.

Problem 9

Energy timing and storage losses can change adequacyEnergy timing and storage losses can change adequacyHour blockDemandGenerationStorage change beforelossesDaylight10 kWh16 kWh+6 kWhNight8 kWh0 kWh−8 kWh neededDaily total18 kWh16 kWhDeficit before lossesA daily energy total does not guarantee hourly adequacy.
Illustrative two-block supply/demand account; it is not an optimized real grid design.
Interpret the supplied visual. Can loss-free storage alone eliminate the displayed net daily 2 kWh deficit indefinitely?
Answer and explanation

No. It can shift timing but cannot replace a persistent energy deficit without another input.

A source can produce substantial daily energy while failing to meet demand at certain hours. Storage shifts energy through time but has capacity, power and round-trip-loss limits; it does not create the missing energy in a daily deficit. The displayed 16 kWh generation is already below 18 kWh demand before losses. Compare time-resolved supply and demand, initial storage state and allowable shortfalls rather than assuming an annual energy total guarantees continuous service.

No. It can shift timing but cannot replace a persistent energy deficit without another input.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the physical or environmental relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 10

A 5 kW system has 30% capacity factor for 2000 h. Find generated energy. If storage returns 80% of an allocated 500 kWh, how much useful stored energy returns?
Answer and explanation

Generation=5×0.30×2000=3000 kWh. The allocated storage input returns 400 kWh and loses/transfers 100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Generation=5×0.30×2000=3000 kWh.

The allocated storage input returns 400 kWh and loses/transfers 100 kWh under the stated boundary; do not apply the storage loss to energy that bypasses it.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

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