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Pump Power Calculator

Estimate required hydraulic and motor power from flow rate, total dynamic head and pump/system efficiency.

kW powerFlow rateTotal headEfficiency
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Pump Power Calculator

Calculate hydraulic power, pump shaft power, motor input power and approximate horsepower from flow, total head and efficiencies.

Hydraulic power0.00 kW
Pump shaft power0.00 kW
Motor input power0.00 kW
Approx. motor power0.00 HP
Overall system efficiency%0,0
Phid = ρgQH · Pmil = Phid/ηpompa · Pmotor = Pmil/ηmotor
Calculated TDH0.00 m
Hydraulic power0.00 kW
Pump shaft power0.00 kW
Motor input power0.00 kW
Approx. motor power0.00 HP
TDH = Static head + friction loss + minor losses + outlet pressure head

This tool is for preliminary sizing. Final pump selection must also check the pump curve, duty point, NPSH, minimum/maximum flow, motor service factor and manufacturer data.

Calculation method and use

Estimates hydraulic power and approximate motor input from flow, total dynamic head and pump efficiency.

P_h = ρgQH • P_input ≈ P_h / η

Example and practical interpretation

For water at 300 GPM, 100 ft of total dynamic head and 70% overall efficiency, required input power is about 10.8 HP.

Points to check

  • Convert flow to consistent units.
  • Build TDH from static head plus friction and local losses.
  • Check the actual pump curve, operating point and motor margin before final selection.

Frequently asked questions

What is TDH?

Total Dynamic Head: the combined static head and system losses the pump must overcome.

How does efficiency affect power?

Lower efficiency means higher input power for the same hydraulic output.

How do I convert kW to hp?

Approximately 1 kW = 1.341 hp, and 1 hp = 0.746 kW.

Pump Power Calculator: Flow, TDH, Efficiency and Motor Power

Pump sizing is not based on flow and static elevation alone. Static head, pipe friction, minor losses and required discharge pressure combine to form total dynamic head (TDH). CivilCalc connects hydraulic power, pump shaft power and approximate motor input power in one traceable workflow.

Engineering reference updated: 19 September 2026

Core power equations

Ph = ρ × g × Q × H

Shaft and motor input power increase as pump and motor efficiency decrease.

Pshaft = Ph/ηpump • Pmotor = Pshaft/ηmotor

Building TDH

TDH = static head + friction loss + minor loss + discharge pressure head

Static elevation difference is not automatically the required pump head. Pipe diameter, length, fittings, flow and terminal pressure all affect the operating point.

Worked pumping example

Q = 20 L/s (317 gpm), static head = 24 m (78.7 ft), friction = 5 m, minor loss = 1 m → TDH = 30 m (98.4 ft). Hydraulic power is about 5.89 kW. At 75% pump efficiency, shaft power is about 7.85 kW; at 90% motor efficiency, electrical input is about 8.72 kW (11.7 hp).

How flow changes required power

Illustrative comparison with TDH = 30 m (98.4 ft), pump efficiency 75% and motor efficiency 90% held constant.

5 L/s
2.18 kW
10 L/s
4.36 kW
15 L/s
6.54 kW
20 L/s
8.72 kW

This is not a pump curve. In a real piping system TDH normally changes with flow, so the duty point is found from the intersection of the system curve and pump curve.

Efficiency versus input power

Overall efficiencyInput at 20 L/s, 30 m
80%7.36 kW
70%8.41 kW
60%9.81 kW
50%11.77 kW

Energy use

Energy = motor input power × operating time
An 8.72 kW input operating 12 hours/day represents about 104.6 kWh/day. Actual consumption varies with duty point, VFD control, level changes and efficiency.

Six engineering checks before selecting a pump

1. System curve
Evaluate system head across the expected flow range.
2. BEP
Check how close the duty point is to the best efficiency region.
3. NPSH
Compare NPSH available with manufacturer NPSH required using an appropriate margin.
4. Motor margin
Do not match the motor nameplate directly to theoretical kW.
5. Operating range
Check minimum/maximum flow, wet-well levels and parallel pump cases.
6. Surge
For long force mains, review starts, stops, check valves and transient pressure.

Frequently asked questions

Is static elevation enough to size pump head?

No. Add friction, minor losses and any required discharge pressure to establish TDH.

Should an 8.7 kW result use an 8.7 kW motor?

Not directly. Standard motor sizes, pump curves, efficiencies, service conditions and manufacturer data must be checked.

If flow doubles, does power double?

If TDH and efficiency stay constant, yes. In real pipe systems friction rises with flow, so TDH may also increase.

Why is NPSH checked separately?

NPSH addresses suction-side cavitation risk and cannot be determined from motor power alone.

Can a VFD reduce energy use?

It can in variable-demand systems, but savings depend on the system curve and operating profile.

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