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Grades 9–12 · Systems

How can water store electricity for a later time?

Electricity can be stored by changing the height of water. A pumped-storage hydropower plant connects reservoirs at different elevations. During charging, an electric motor drives a pump that transfers water uphill. During generation, water travels downhill through a turbine linked to a generator. Some plants use reversible equipment for these two roles.

S40 visual explanationFor 1,000 kg of water at 100 m fixed head, charging efficiency is 80% and generation efficiency is 90%. The full cycle returns 72% of the charging input. This schematic does not determine power or actual site capacity.Water stores gravitational potential energyCharge: electricity in, water uphillUpper reservoirLower reservoirHead: 100 mWater: 1,000 kgMotor + pumpStored: 0.981 MJ; round-trip: 72%Input 1.22625 MJ; output 0.8829 MJ

In the diagramWater stores gravitational potential energyCharge: electricity in, water uphillUpper reservoirLower reservoirHead: 100 mWater: 1,000 kgMotor + pumpStored: 0.981 MJ; round-trip: 72%Input 1.22625 MJ; output 0.8829 MJ

Charging sends water uphill and electricity into the plant. Generating sends water downhill and electricity out. At the stated efficiencies, only 72% of charging input returns.

The stored quantity is gravitational potential energy. In an ideal fixed-head model it increases by E = mgh, where m is the moved water mass, g is gravitational acceleration and h is the effective height difference. The illustration moves 1,000 kilograms through 100 meters. With g = 9.81 meters per second squared, that stores 981,000 joules, or 0.981 megajoule. A real reservoir’s effective head can change as its water level changes.

Charging needs more electrical energy than the increase in potential energy because pumps, motors and water flow have losses. With a stipulated charging efficiency of 0.80, electrical input is 0.981 ÷ 0.80 = 1.22625 megajoules. On descent, a generating efficiency of 0.90 yields 0.8829 megajoule of electricity. The round-trip efficiency is 0.80 × 0.90 = 0.72: 72 percent of the charging input returns as electricity.

The plant therefore shifts energy in time; it does not create extra energy. Its storage capacity and its power rating answer different questions: how much energy can be stored and how quickly it can be delivered. Reservoir volume, head, flow and equipment limits all matter. The same water can make repeated trips while energy must be supplied anew for each charging cycle.

About this explanation

Starting knowledge: Use gravitational potential energy mgh, joules, power and efficiency.

Sources

  • U.S. Department of Energy — Pumped Storage Hydropower
  • U.S. Department of Energy — How Pumped Storage Hydropower Works
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