Pump Power Calculator | Hydraulic Shaft Horsepower calculator

Pump Power & Horsepower Calculator

Calculate hydraulic power, shaft power, motor load, and energy cost for centrifugal and positive displacement pumps. Essential for pump sizing and motor selection in chemical process plants.

⚙️ Pump Power Calculator

Use this calculator to determine the hydraulic power (power delivered to the fluid), shaft power (power required at the pump shaft), and motor input power for any pumping application. The calculator supports both metric (kW) and imperial (HP) units.

Hydraulic Power: Phyd = ρ × g × Q × H (SI: W)
                  Phyd = Q × H × SG / 3960 (US: HP, with Q in GPM, H in ft)

Shaft Power: Pshaft = Phyd / ηpump
Motor Power: Pmotor = Pshaft / ηmotor / ηdrive

Enter Pump Operating Conditions

m³/h
m
dimensionless (water = 1.0)
% (typical: 50–85%)
% (typical: 85–96%)
$/kWh

📊 Pump Power Results

Hydraulic Power
Shaft Power (Brake HP)
Motor Input Power
Recommended Motor Size
Energy Cost
Annual Cost (8000 hrs)

Understanding Pump Power Calculations

Hydraulic power (also called water horsepower) is the power actually transferred to the fluid. It depends only on flow rate, head, and fluid density — not on pump efficiency.

Shaft power (brake horsepower) is the power that must be delivered to the pump shaft. It accounts for internal pump losses (hydraulic, volumetric, mechanical). Always larger than hydraulic power.

Motor input power is the electrical power drawn from the supply. It includes motor and drive losses.

Typical Pump Efficiencies

Pump TypeTypical EfficiencyBest Efficiency Point (BEP)
Small centrifugal (< 5 kW)30–50%Varies widely
Medium centrifugal (5–50 kW)55–75%Near BEP
Large centrifugal (> 50 kW)75–90%Well-defined BEP
Positive displacement (reciprocating)80–95%High at design point
Gear pump60–80%Viscosity dependent
Progressive cavity50–70%Speed dependent

Frequently Asked Questions

What is Total Dynamic Head (TDH)?

TDH is the total equivalent height that a fluid must be pumped, including static lift (elevation difference), pressure difference between suction and discharge, and all friction losses in pipes, fittings, and equipment. TDH = H_static + H_pressure + H_friction.

How do I convert between kW and HP?

1 HP (mechanical) = 0.7457 kW. 1 kW = 1.341 HP. For electrical HP, 1 eHP = 0.746 kW.

What motor size should I select?

Always select a motor with a service factor margin. Typically, the motor nameplate rating should be 10–25% above the maximum expected shaft power. API 610 requires at least 10% margin for pumps up to 25 kW, and specific margins for larger sizes.

What is NPSH and why does it matter?

Net Positive Suction Head (NPSH) is the margin above vapor pressure available at the pump suction. Available NPSH (NPSHa) must exceed the pump's required NPSH (NPSHr) to prevent cavitation, which damages the impeller and reduces performance.

How does viscosity affect pump performance?

Higher viscosity reduces pump efficiency and head generation. Centrifugal pumps are generally limited to fluids below ~1000 cP. For viscous fluids, use positive displacement pumps or apply Hydraulic Institute viscosity correction charts.