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Energy Generation and Storage

How electricity is generated, ways to store energy, battery chemistries, and battery pack calculations.

  1. Electrical Generation
  2. Energy Storage Methods
  3. Battery Chemistries
  4. Battery Capacity and Packs
Engineering Fundamentals/Electrical Systems

Electrical Generation

How turbines and generators turn other forms of energy into electricity, how photovoltaics differ, and how to compare a generation mix.

A generator converts motion into electrical energy

A generator converts motion into electrical energy

A generator does not create energy. It takes mechanical work at a shaft and delivers electrical energy to a circuit, with some energy becoming heat along the way.

A turbine is a rotating machine driven by a moving fluid. Steam, flowing water, wind, or hot combustion gases can turn its blades. The turbine turns the generator; the generator supplies electricity. An engine can also drive a generator without a turbine.

Heat makes steam; steam turns a turbine; the turbine turns a generator; the generator supplies electricity. Water, wind and combustion gases can drive turbines too.

Supporting detail: Addendum 1 — How rotation produces electricity.

See Power and Efficiency for losses and AC and DC for the electrical output forms.

Different heat sources can feed the same steam cycle

Different heat sources can feed the same steam cycle

Burning fossil fuels or biomass can heat water to make steam. Nuclear fission supplies heat without combustion. Geothermal systems use heat from the Earth, and concentrated solar systems use mirrors to collect sunlight as heat. The equipment differs, but a steam-based plant follows the same basic chain: heat, moving steam, shaft rotation, electricity.

Not every turbine uses steam. A hydroelectric turbine takes energy from water flowing downhill. A wind turbine takes energy from moving air. A combustion turbine uses hot gases directly; a combined-cycle plant also recovers exhaust heat for a steam cycle.

Photovoltaic cells skip the turbine

Photovoltaic cells skip the turbine

A photovoltaic (PV) cell converts light directly into electrical energy through the photovoltaic effect in a semiconductor. A connected load receives DC electricity. An inverter can convert that DC to AC.

Solar PV and concentrated solar thermal are different routes. PV produces electricity in the cell; solar thermal first collects heat. That distinction matters when considering thermal storage.

A generation mix is more than a list of percentages

A generation mix is more than a list of percentages

A generation mix describes how much electricity comes from each source over a stated place and time. Installed capacity describes how much power equipment is rated to supply. Those are different measures: a large rated capacity does not mean a source supplied the same share of annual energy.

Predict: which generator produces more energy?

Compare two hypothetical generators over the same 365-day, 8760-hour period. Generator A is rated at 1 MW with a given 25% capacity factor. Generator B is rated at 0.5 MW with a given 60% capacity factor. Which produces more energy over the year? Decide before opening the check.

Check the rated-power and period-energy comparison

Period energy = rated power × period hours × capacity factor
Capacity factor = period energy ÷ (rated power × period hours)

Fixed stated ratings and given illustrative factors over 8760 hours
GeneratorRated powerCapacity factorAverage powerPeriod energy
A1 MW25% = 0.250.25 MW1 × 8760 × 0.25 = 2190 MWh
B0.5 MW60% = 0.600.30 MW0.5 × 8760 × 0.60 = 2628 MWh

Generator B has the smaller rating but produces more energy in this given example. MW measures power; MWh measures energy over time. Do not treat 1 MW as 1 MWh for the year, and write 25% as 0.25 in the multiplication, not 25.

Capacity factor is not conversion efficiency, the percentage of hours switched on, dispatchability, reliability, or a source's share of an energy mix. Partial-load operation contributes too; the factor does not require a generator to alternate only between off and full power.

These ratings and factors are fixed hypothetical inputs for the stated period, not real-plant data. EIA's published factors use time-adjusted capacity methods; this example does not reproduce that method. The EIA capacity and generation FAQ distinguishes rated power from energy produced over a period and defines the capacity-factor comparison.

Compare cost, emissions, variability, and dispatchability — the ability to adjust output when requested. Wind and sunlight vary with weather and time. Fuelled generation and reservoir hydro can often be scheduled, but fuel, water, maintenance and operating limits still matter. Storage shifts energy in time; it is not an extra primary energy source.

No current percentage mix is supplied here. For dated U.S. generation data, consult the U.S. EIA's Electricity explained: electricity in the United States, and record the reporting year and whether the figures describe generation or capacity.

Engineering Fundamentals/Electrical Systems

Energy Storage Methods

Pumped water, stored heat and rechargeable batteries hold energy for later use in different ways.

Pumped hydro stores energy by lifting water

Pumped hydro stores energy by lifting water

Use electricity to pump water uphill, then let it flow downhill through a turbine and generator when electricity is needed. The stored energy is gravitational potential energy.

Charging pumps water from a lower reservoir to an upper reservoir using electricity. Discharging sends it downhill through a turbine and generator to return electricity.

The cycle returns less electrical energy than it consumed because pumping, flow and generation all have losses. It needs suitable elevations, reservoirs and water management; it cannot be placed wherever a battery can.

For the energy and efficiency relationships, see Work and Energy and Power and Efficiency.

Thermal storage saves heat for later

Thermal storage saves heat for later

Thermal storage holds energy in a hot material, such as a fluid or solid. A concentrated solar plant can collect heat while sunlight is available, store it, and later use it to produce steam and electricity. Stored heat can also serve heating loads directly.

Insulation slows heat loss; it does not eliminate it. Returning heat to electricity adds conversion losses. Choose the storage route for the energy form the load needs.

Rechargeable batteries store energy chemically

Rechargeable batteries store energy chemically

A battery supplies DC through electrochemical reactions. A primary battery is intended for a single discharge life and replacement. A secondary battery is designed to be recharged with a suitable charger, restoring chemical energy for another discharge.

Primary cells are useful portable energy supplies, but they are not reusable storage for electricity from a generator. Do not try to recharge a primary cell. Rechargeable does not mean unlimited life: cycling and aging reduce usable capacity.

See Battery Chemistries for the families and Battery Capacity and Packs for the arithmetic.

Choose storage for the load and the site; Practice

Choose storage for the load and the site

A small portable instrument needs a compact energy supply, so a battery is a practical fit. A site with suitable upper and lower reservoirs can consider pumped hydro for large stationary storage. A solar thermal plant needing heat after sunset can store heat without first converting it to electricity.

Compare the required power, the energy needed over time, the storage duration, available space and terrain, losses, and service life. These examples identify a good fit; they do not establish that one technology is always cheapest.

Practise choosing storage
Engineering Fundamentals/Electrical Systems

Battery Chemistries

Compare primary alkaline, rechargeable nickel, lead-acid and lithium-ion batteries, and the short history behind them.

Capacity, self-discharge and aging are different

Capacity, self-discharge and aging are different

A cell is one electrochemical unit. A battery may contain one cell or several. Its chemistry helps determine voltage, mass, charging needs and how well it holds charge.

Self-discharge is loss of stored charge while no load is connected. Aging is loss of the ability to hold or deliver charge, even after recharging. Both depend on the cell design, temperature and storage conditions, so a chemistry name is not a shelf-life specification.

A capacity rating also depends on discharge current, temperature and the voltage at which the test stops. Use the particular cell's data, not a single capacity assigned to every AA or D cell.

Primary alkaline cells suit replaceable, modest loads

Primary alkaline cells suit replaceable, modest loads

Common primary alkaline cells serve devices such as clocks, remote controls and flashlights. They are widely available and retain charge relatively well in storage. Their useful capacity and terminal voltage fall more under heavy loads and cold conditions.

They are not intended to be recharged. Leakage can damage equipment, especially when cells are exhausted or left in storage. Rechargeable-battery memory effect is not a useful concern for a primary cell.

NiCd and NiMH are rechargeable nickel batteries

NiCd and NiMH are rechargeable nickel batteries

Nickel-cadmium (NiCd) and nickel-metal hydride (NiMH) use alkaline electrolytes, but they should not be confused with primary alkaline cells.

Two rechargeable nickel families.
FamilyUses and strengthsLimits
NiCdLegacy cordless tools and industrial backup equipment; capable of substantial discharge currents in suitable designs.Cadmium is toxic and requires appropriate battery recycling. Repeated partial cycling can cause memory-related voltage depression. Self-discharge matters during storage.
NiMHRechargeable consumer cells and hybrid-vehicle packs; generally more capacity than comparable NiCd cells and no cadmium.Conventional cells can self-discharge noticeably; low-self-discharge versions improve charge retention. Voltage depression can occur, but memory concerns are generally less pronounced than with NiCd.

Use a charger designed for the chemistry and cell. Fast charging is appropriate only when the cell and charger support it. Do not deliberately drive a pack to zero volts to prevent memory effect: a weaker cell can be forced into reverse polarity by the others.

Supporting detail: Addendum 2 — Why a remote-control recommendation needs more than a chemistry name.

Lead-acid trades low mass efficiency for useful power and cost

Lead-acid trades low mass efficiency for useful power and cost

Lead-acid batteries appear in engine starting and stationary backup supplies. They can deliver high starting currents and are relatively inexpensive, but they are heavy for the energy stored.

They self-discharge during storage. Prolonged storage while discharged promotes sulfation, which can reduce capacity; this is not the NiCd memory effect. Starting and deep-cycle designs serve different loads. Use the specified charging method: the electrolyte is acidic, lead is toxic, and charging can release gas. Flooded, absorbed-glass-mat and gel designs all exist; modern lead-acid does not always mean gel.

Lithium-ion needs protection; LiPo is not automatically better

Lithium-ion needs protection; LiPo is not automatically better

Lithium-ion batteries power portable electronics, tools and electric vehicles. Their energy per unit mass is generally considerably higher than NiMH, with relatively slow self-discharge and no routine need for full discharge to prevent memory effect. They still lose capacity through calendar aging and cycling.

Protection and charge control must keep voltage, current and temperature within the cell's limits. A bare cell may not contain its own protection circuit. The pack design must provide the required protection; a protection circuit is not a substitute for a compatible charger.

Lithium-ion polymer, often called LiPo, commonly appears as a light pouch cell in portable devices and model aircraft. The packaging allows thin shapes; some designs support high discharge rates. It does not guarantee higher energy density, lower cost or better resistance to physical damage. Pouches need protection against puncture and crushing. Self-discharge and memory behaviour are broadly those of lithium-ion.

Nominal voltage and charging limits depend on the particular chemistry and cell. Do not use a single voltage for every lithium-ion battery, and do not confuse rechargeable lithium-ion with primary lithium-metal cells.

Battery history moves from a pile to portable rechargeable cells

Battery history moves from a pile to portable rechargeable cells

The important sequence is the change in what batteries made possible.

  • Volta, around 1800: the voltaic pile made a sustained electrochemical source practical to demonstrate.
  • Gaston Planté, 1850s: lead-acid introduced a rechargeable battery.
  • Carl Gassner, 1880s: dry-cell development made the electrolyte easier to contain for portable use. “Dry” means immobilized electrolyte, not absence of moisture.
  • Waldemar Jungner, 1890s: nickel-cadmium added another rechargeable chemistry.
  • Lewis Urry, 1950s: work on the modern alkaline cell improved portable primary batteries.
  • Lithium-ion, 1990s: commercialization enabled rechargeable products with high energy per unit mass, building on earlier work by several researchers.

Supporting detail: Addendum 3 — Scope of this short chronology.

Engineering Fundamentals/Electrical Systems

Battery Capacity and Packs

Convert Ah to Wh, use C-rate and current to estimate performance, and predict the effect of series and parallel cells.

Ampere-hours measure charge; watt-hours measure energy; Practice

Ampere-hours measure charge; watt-hours measure energy

A 2 Ah cell and a 2 Ah battery can store very different amounts of energy if their voltages differ. Ah tells you charge. To estimate energy, you also need voltage.

Energy (Wh) ≈ capacity (Ah) × nominal voltage (V)
Energy (J) = energy (Wh) × 3600

For an ideal 2.4 Ah, 3.6 V cell: 2.4 × 3.6 = 8.64 Wh, or 8.64 × 3600 = 31,104 J. Convert mAh to Ah by dividing by 1000 before multiplying by voltage.

Supporting detail: Addendum 4 — Why the battery estimate uses an approximate sign.

See Work and Energy for energy units and Current, Voltage, and Resistance for voltage and charge.

Practise battery energy
C-rate sets a current scale; load current sets ideal runtime; Practice

C-rate sets a current scale; load current sets ideal runtime

A discharge rate of 1C means a current numerically equal to the capacity in Ah divided by one hour. The rate has units of h−1. Here C is a rate notation, not the coulomb symbol.

Rated maximum current (A) ≈ maximum discharge C-rate (h⁻¹) × capacity (Ah)
Ideal runtime (h) = capacity (Ah) ÷ load current (A)

A 2.4 Ah cell rated for continuous 3C discharge has a rated current estimate of 3 × 2.4 = 7.2 A. At a constant 1.2 A load, ideal runtime is 2.4 ÷ 1.2 = 2 h. At 3C, the ideal duration is one-third of an hour, or 20 minutes.

A C-rate may describe a test rate, a charge rate, a continuous limit or a short pulse limit. Only a specified maximum discharge rating belongs in the maximum-current equation. Actual pack limits may be lower because of wiring, temperature or protection hardware. A constant-power load also changes current as voltage changes.

Practise ideal runtime
Series adds voltage; parallel adds charge capacity

Series adds voltage; parallel adds charge capacity

For matched cells, connect cells in series to increase voltage. Put identical series strings in parallel to increase Ah at the same voltage. 3s2p means three cells per series string and two strings in parallel: six cells altogether.

Two identical 3.6 V 2.4 Ah cells in series give 7.2 V and 2.4 Ah; the same two in parallel give 3.6 V and 4.8 Ah. Each arrangement stores an ideal 17.28 Wh.

Pack V = series count × cell V
Pack Ah = parallel count × cell Ah
Pack Wh ≈ pack V × pack Ah

With 3.6 V, 2.4 Ah cells, a 3s2p pack is 10.8 V, 4.8 Ah and 51.84 Wh. At 3C it has an ideal rated-current estimate of 14.4 A. A 1.2 A pack load gives 4 h ideal runtime.

This is an electrical model, not a pack assembly procedure. It assumes matched cells, balanced series operation and equal current sharing between parallel strings. Real packs need appropriate cell matching, interconnections and protection. See Series and Parallel Circuits.

Explore a pack by changing one input at a time; Interactive; Practice

Explore a pack by changing one input at a time

First double the series count: voltage and energy double, but Ah and runtime at the same pack current do not. Reset it, then double the parallel count: Ah, energy, rated current and ideal runtime double. The load current below is measured at the pack terminals.

Predict first: same current or same ideal power?

Before checking the results, predict whether ideal runtime will stay the same or double in each comparison, and explain what must happen to current. Start with 3.6 V, 2.4 Ah cells in a 3s2p pack at 1.2 A, then try two different meanings of “the same load”:

  1. Same pack current: change only the series count from 3 to 6 and leave the load-current input at 1.2 A.
  2. Same ideal nominal pack power: keep 6s2p, calculate I = P ÷ V = 12.96 W ÷ 21.6 V = 0.6 A, then enter 0.6 A in the existing load-current input.

Paper example: 3.6 V, 2.4 Ah cells; 3s2p; continuous discharge rating 3C; load 1.2 A.

V = 3 × 3.6 = 10.8 V; Ah = 2 × 2.4 = 4.8 Ah; Wh = 10.8 × 4.8 = 51.84 Wh; Imax = 3 × 4.8 = 14.4 A; t = 4.8 ÷ 1.2 = 4 h.

With no JavaScript, use these equations to explore other packs. This example remains in the print view.

Check the fixed-current and fixed-power comparison
Same cells and parallel count, with two different load bases
CaseNominal voltageCapacityNominal energyPack currentNominal load powerIdeal runtime
3s2p starting case10.8 V4.8 Ah51.84 Wh1.2 A12.96 W4 h
6s2p, same current21.6 V4.8 Ah103.68 Wh1.2 A25.92 W4 h
6s2p, same ideal power21.6 V4.8 Ah103.68 Wh0.6 A12.96 W8 h

Check: at the same current, both packs still have 4.8 Ah, so t = Ah ÷ I stays at 4 h while the 6s2p pack supplies twice the nominal power. At the same ideal power, twice the nominal voltage needs half the current, so the ideal runtime becomes 8 h.

The 6s2p case uses twelve cells instead of six and stores twice the nominal energy. The longer fixed-power runtime is not a free benefit.

This comparison assumes matched cells, constant nominal voltage, the stated Ah is available and the entered load is ideal. It does not predict changing discharge voltage, load or converter losses, reserve capacity, aging, cutoff or protection behavior. The model reports when the requested current exceeds the entered rating; a result below that rating is not a safety certification.

Practise series and parallel packs
Supporting detail

Addendum

Additional evidence, standards context, and background referenced from the main text.

  1. Engineering Fundamentals/Electrical Systems/Electrical Generation

    Addendum 1. How rotation produces electricity

    Relative motion between a magnetic field and conductors induces a voltage. With a closed circuit, current flows and the shaft must supply work against the electrical load. Motor action and generator action reverse the direction of energy conversion; see Electric Motor Principles. Actual machines and controls determine how they can operate in either direction.

    Back to reference 1

  2. Engineering Fundamentals/Electrical Systems/Battery Chemistries

    Addendum 2. Why a remote-control recommendation needs more than a chemistry name

    A low average load makes charge retention important, but it does not by itself select NiCd over NiMH. Compare the actual cells' self-discharge, usable capacity, voltage and charging requirements. A low-self-discharge NiMH cell behaves differently from an older conventional NiMH cell.

    Back to reference 2

  3. Engineering Fundamentals/Electrical Systems/Battery Chemistries

    Addendum 3. Scope of this short chronology

    This overview uses the historical sequence in the course generation-and-storage notes, with dates rounded to eras. Invention, patent and market introduction are different milestones; the dates are not intended as a priority claim. The development of lithium-ion was a multi-researcher effort, not solely the work of the company that first sold it.

    Back to reference 3

  4. Engineering Fundamentals/Electrical Systems/Battery Capacity and Packs

    Addendum 4. Why the battery estimate uses an approximate sign

    Wh = Ah × V is exact for constant voltage. A real cell's voltage changes during discharge, so nominal voltage gives an energy estimate. Usable charge also changes with load, temperature, age and the cutoff voltage. These calculations assume the stated capacity is available.

    Back to reference 4