Pumped Hydro Storage Lab

A pumped-hydro plant is a black box you pump uphill and generate back down, and it never gives back exactly what you put in: its round-trip efficiency — energy delivered over energy drawn — falls short of 100% because the pump, the water in the tunnel, and the turbine each lose some of it along the way. Push more flow through the same tunnel and friction head loss rises with the square of that flow, so fast pumping or generating wastes far more energy than a gentle rate. Hold the reservoir full and evaporation and seepage quietly drain a little of it away even while idle. And how much energy the plant can hold at all comes down to head times reservoir volume, which together with the flow rate also set how long a full reservoir can sustain generation. Set the head, reservoir volume, pump flow, generation flow, machine efficiency, and hold time, then watch reservoir level, power, and round-trip efficiency play out live. It all runs on your device.

You are in the Physics lab.

Phase / elapsedPump · 0:00
Energy in0.000 MWh
Energy delivered0.000 MWh

Pumped Hydro Plant

Energy in while pumping, energy out while generating — and where the rest goes.

Reservoir level
Power
Round-trip
Capacity
Storage duration
Phase
Peak power
Power
Energy split — delivered vs lost to friction and machine losses
Pump / generate schematic
Reservoir level over the cycle
Round-trip efficiency vs. flow rate
A pumped hydro plant never returns 100% of the energy you spend pumping it uphill. The pump loses some energy converting electrical power to hydraulic head, water flowing through the tunnel loses more of that head to friction, and the turbine and generator lose still more converting head back to electrical power — all three losses leaving as heat and turbulence, not stored or delivered energy, so round-trip efficiency — energy delivered over energy in — always falls short of 100%. Push more flow through the same tunnel and friction head loss rises with the square of that flow, so a fast pump or generate cycle wastes far more energy than a gentle one. Even sitting full, evaporation and seepage quietly drain away a little stored volume during a long hold time. None of this is a currency cost — it's physical accounting in MWh, MW, m and GL — and the same head and volume that set how much energy the plant can hold also set, together with flow rate, how long a full reservoir can sustain generation.

Reading the simulation

What the schematic, the energy-split bar and the two plots are telling you — then what head, volume and flow do to capacity and duration.

1

The schematic and the power gauge

Energy from the grid flows in while pumping, some of it is lost along the way, the rest is stored as potential energy in the upper reservoir, and on generation it flows back out through another loss before reaching the grid. The gauge beside the schematic tracks live power against the plant's rated power, positive while pumping and negative while generating.

2

The energy-split bar and round-trip efficiency

The energy-split bar breaks the round trip into three slices: the pump loss, friction loss, and turbine loss that leave as heat and turbulence, and what's left as energy actually delivered to the grid. Round-trip efficiency is delivered energy divided by energy in — the higher the flow rate or the weaker the machine efficiency, the smaller that delivered slice gets.

3

Reservoir level and the efficiency-vs-flow curve

The reservoir-level plot tracks percent of full volume through the pump, hold and generate phases of one cycle, including the slow bleed of evaporation and seepage during the hold. The efficiency curve tracks round-trip efficiency against flow rate — because friction head loss scales with flow squared, efficiency falls faster than flow rises, reported live here as round-trip and peak power.

How It Works

A friction loss on every cubic meter that flows, an evaporation and seepage that never sleeps, and a capacity set by head times volume, not by anything inside the powerhouse.

Grid Pump energy in Pump loss (heat) Upper reservoir (stored PE) Friction + turbine loss (heat) Generation energy out Grid Evaporation and seepage drain the reservoir slowly during the hold
Energy from the grid passes through a pump loss on its way into stored potential energy in the upper reservoir, and back out through a combined friction and turbine loss on its way to the grid during generation — all leaving as heat and turbulence, not stored or delivered energy. The powerhouse itself is treated as a black box: only its rated flow and machine efficiency matter here, not the pump or turbine machinery inside it. While the reservoir sits full during the hold, evaporation off its surface and seepage through its bed slowly drain it too.
1

Round-trip efficiency: what flow squared costs you

Water moving through the tunnel or penstock dissipates energy to friction head loss that scales with the square of flow rate, on both the pumping and generation legs. Round-trip efficiency is energy delivered divided by energy in, and it drops whenever pump flow or generation flow rises or machine efficiency is worse — a fast, high-flow cycle wastes far more of the round trip to friction than a gentle one, even though it moves the same volume of water.

2

Evaporation and seepage while held

Even with no pumping and no generation running, an open reservoir slowly loses volume to evaporation off its surface and seepage through its bed and dam. It's usually a small fraction per day, but over a long hold time between pumping and generating, it measurably lowers the reservoir level generation starts from, on top of any friction loss already paid during pumping.

3

Capacity and storage duration from head and volume

Stored energy is proportional to head times reservoir volume — the potential energy in a mass of water is its weight times how high it's raised, so a taller head needs less volume for the same capacity, and a shorter head needs more. Storage duration is volume divided by flow rate — how long a full reservoir can sustain generation at the chosen generation flow before it's drained, reported live here alongside peak power.

What is round-trip efficiency in a pumped hydro storage plant?
Round-trip efficiency is the energy delivered back to the grid during generation divided by the energy drawn from the grid to pump water uphill. It's never 100% because the pump loses some energy converting electrical power to hydraulic head, water flowing through the tunnel or penstock loses more of that head to friction, and the turbine and generator lose still more converting hydraulic head back to electrical power. All three losses leave as heat and turbulence in the water and machinery, not as stored or delivered energy.
Why does pumping or generating faster waste more energy to friction?
Friction head loss in a pipe or tunnel scales with the square of the flow rate, so doubling the flow through the same penstock roughly quadruples the head lost to friction on that leg of the trip. That's why running a plant at high flow to pump faster or generate more power measurably lowers round-trip efficiency compared to a gentler flow, even though both eventually move the same volume of water.
Why does a reservoir lose stored energy just sitting full?
An open reservoir isn't a sealed store of water: evaporation off its surface and seepage through the reservoir bed and dam slowly reduce the volume held, even when nothing is being pumped or generated. It's usually a small fraction of the volume per day, but it adds up — a reservoir held full for a long hold time before it's used for generation will hold measurably less stored energy than what pumping put into it.
What sets a pumped hydro plant's storage capacity and duration?
Capacity is proportional to head times volume — the potential energy stored in a mass of water is its weight times the height it's raised, so a taller head needs less reservoir volume for the same energy store, and a shorter head needs more. Storage duration is volume divided by flow rate — how long the upper reservoir can sustain generation at a given flow before it's drained, or how long pumping takes to refill it.