Hydraulic Pump Motor Power Calculation

Motor Power Formula:

\[ P_e = \frac{Q \times P \times 0.746 \times 1714}{\eta} \]

Motor Power (P_e):

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1. What is Hydraulic Pump Motor Power Calculation?

Definition: This calculator determines the required electric motor power for a hydraulic pump based on flow rate, pressure, and system efficiency.

Purpose: It helps engineers and technicians properly size electric motors for hydraulic systems to ensure efficient operation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_e = \frac{Q \times P \times 0.746 \times 1714}{\eta} \]

Where:

\( P_e \) — Electric motor power (kW)
\( Q \) — Flow rate (gallons per minute, GPM)
\( P \) — Pressure (pounds per square inch, psi)
\( \eta \) — System efficiency (decimal, 0-1)

Explanation: The formula converts hydraulic power (flow × pressure) to electrical power requirements, accounting for efficiency losses.

3. Importance of Proper Motor Sizing

Details: Correct motor sizing prevents underpowered operation (which can cause system failure) and overpowered selection (which wastes energy and money).

4. Using the Calculator

Tips: Enter the pump's flow rate in GPM, system pressure in psi, and estimated efficiency (default 0.85 for typical systems). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the 0.746 factor in the formula?
A: This converts horsepower to kilowatts (1 HP = 0.746 kW).

Q2: What's the 1714 constant?
A: This converts (GPM × psi) to horsepower (1 HP = 1714 GPM·psi).

Q3: What's a typical efficiency value?
A: Most hydraulic systems operate at 80-90% efficiency (0.8-0.9).

Q4: Should I round up the motor size?
A: Yes, always select the next standard motor size above your calculation.

Q5: Does this account for startup current?
A: No, consult an electrician for motor starting requirements.