PP

Engineering

Pump Power Calculator

Calculate hydraulic power from density, gravity, flow, and head; estimate required input power from overall efficiency; and accumulate annual energy. The guide explains total dynamic head, efficiency boundaries, operating point, pump curves, and energy implications.

Hydraulic power-
Required input power-
Annual input energy-
Power loss-

Decision view

Pump input, conversion loss, and hydraulic output

Pump input, conversion loss, and hydraulic outputThe energy path separates required input power from useful hydraulic power and the loss implied by the entered overall efficiency.
Exact scenario comparisonTotal dynamic head (m) changes while all other entered assumptions remain constant.
Total dynamic head (m)Hydraulic powerRequired input powerAnnual input energyPower loss

How to use Pump Power Calculator

  1. Enter flow at the intended operating point, total dynamic head, fluid density, and overall wire-to-water or shaft efficiency as defined.
  2. Confirm that flow and head occur together on a valid pump and system curve.
  3. Use input power and duty hours for energy planning, then check motor rating, service factor, starts, and control strategy.

Calculator guide

Understanding Pump Power Calculator

A pump transfers hydraulic energy to a fluid, while the motor must supply more input power because the pump, drive, and motor are not perfectly efficient. This calculator separates useful hydraulic output from input and loss.

Useful output Hydraulic power scales directly with density, flow, and head.
Efficiency penalty Lower efficiency increases input power and annual energy for the same hydraulic duty.
Coupled inputs Flow and head must be available simultaneously from the selected pump.
Energy uses input Electricity planning should use motor input, not hydraulic output.

Calculation method

How the calculation works

Multiply density, gravity, volumetric flow, and head for hydraulic power, then divide by overall efficiency for input power. Hydraulic power Ph = ρgQH. Convert L/s to m³/s and watts to kilowatts. Required input Pin = Ph/η, loss = Pin - Ph, and annual energy = Pin × operating hours.

Energy path

From electrical input to fluid output

The visual separates the useful and lost portions of the entered duty.

Motor and drive input Power purchased or supplied to the pumping assembly.
Conversion loss Difference created by motor, drive, pump, and mechanical inefficiency.
Hydraulic output Power represented by density, gravity, flow, and head.

The location of each loss cannot be diagnosed from one overall efficiency value.

Worked situations

Practical examples

  • At 25 L/s, 32 m head, and water density, hydraulic power is about 7.85 kW.
  • At 72% overall efficiency, required input is about 10.9 kW and modeled loss is about 3.05 kW.
  • Across 2,400 operating hours, input energy is approximately 26,151 kWh.

Better inputs

Useful tips

  • Build total dynamic head from static lift plus friction and required terminal pressure.
  • Use efficiency at the actual operating point rather than peak catalogue efficiency.
  • Compare variable-speed and throttled operation over a load profile instead of one design point.

Before relying on the result

Limitations and common mistakes

  • The calculation does not solve the pump-system operating point or select an impeller.
  • NPSH, cavitation, viscosity correction, solids, entrained gas, minimum flow, and transients are excluded.
  • Efficiency is a single entered aggregate and does not vary with speed, flow, motor load, or wear.

Reference

Key terms

Total dynamic head
Energy per unit weight the pump must add, expressed as fluid-column height.
Hydraulic power
Useful power transferred to the fluid.
Input power
Power required before the entered aggregate efficiency losses.
Operating point
Flow and head where pump curve and system curve intersect.

Important note

Calculated from the entered values using the displayed engineering relationship. Confirm design values, load cases, safety factors, standards, and field conditions with a qualified professional.

Frequently asked questions

Is head the same as pressure?

Head is energy per unit weight. Pressure equivalent depends on fluid density.

Why divide by efficiency?

The input must cover both useful hydraulic output and losses, so it exceeds output when efficiency is below 100%.

Can I size a motor directly from the result?

Not by itself. Apply applicable service, starting, overload, ambient, and standards requirements.

Does a larger pump always use more power?

Actual power depends on its operating point and controls; oversizing can move operation away from efficient conditions.