Calculation of motor capacity

Optimizing Electric Motor Sizing for Efficient Operations

Electric motors play a pivotal role in driving rotating equipment, ensuring smooth operations, and enhancing the efficiency of various processes. However, selecting the right motor capacity is critical to avoid equipment damage, motor burnout, and inefficiencies. This guide provides insights into properly sizing motors and measuring motor capacity when integrated with a gear head.

Why Proper Motor Sizing Matters

  • Avoid Overload: Incorrect motor sizing can result in excessive load, damaging bearings and causing overheating.
  • Improve Efficiency: Properly matched motors optimize energy consumption and prolong equipment life.
  • Enhance Reliability: Ensures the motor operates within its design specifications, reducing breakdown risks.

Measuring Motor Capacity with Gear Head

When coupling a motor with mechanical loads like gearboxes or pulleys, precise speed and torque calculations are essential.

Step 1: Determine Motor Speed

The motor speed is calculated using the formula:
n = i × n₁

  • n: Motor speed (min⁻¹)
  • n₁: Speed of the gear output shaft or pulley
  • i: Reduction ratio of the gear head (e.g., i = 20 for 1/20)

Tip: For large reduction ratios, measure the time taken for 100 shaft rotations and calculate revolutions per minute (RPM).

Motor Selection Example: Driving a Conveyor

Application Data:

  • Voltage: 100 V
  • Speed: 30 min⁻¹
  • Working Condition: Continuous
  • Frequency: 60 Hz

Selection Steps:

1. Set the Suitable Speed

  • Required speed: 30 min⁻¹
  • Gear ratio: 1500 min⁻¹ ÷ 30 min⁻¹ = 50
  • Use a gear ratio of 1/50.

2. Voltage Calculation

  • Measured values:
    • Minimum starting voltage: 75 V
    • Minimum stable voltage: 55 V
    • Speed: 1700 min⁻¹

3. Torque Measurement

  • Approximate load torque: 2.65 N·m (375.27 oz-in)
  • Use a spring balance or similar tool to estimate the load.

4. Evaluate Speed-Torque Requirements
From the speed-torque curve of a 4-pole 25 W induction motor (refer to the manufacturer’s catalog):

  • Starting Torque (Ts): 0.16 N·m (22.66 oz-in)
  • Stalling Torque (Tm): 0.25 N·m (35.4 oz-in)

Adjust torque values for voltage variation:

  • Minimum Starting Torque:
    Ts × (75/100)² = 0.09 N·m (12.75 oz-in)
  • Minimum Required Stalling Torque:
    Tm × (55/100)² = 0.07 N·m (9.91 oz-in)
  • Torque at Motor Speed (1700 min⁻¹):
    0.12 N·m (16.99 oz-in)

Selecting the Right Motor

Scenario 1: Constant Load and Minimal Voltage Variation

A 4-pole 15 W induction motor can suffice if load and voltage variations are minimal. For example:

  • Ts = 0.08 N·m (11.33 oz-in)
  • Tm = 0.12 N·m (16.99 oz-in)

Scenario 2: Variable Load or Significant Voltage Drops

Choose a 4-pole 25 W induction motor to ensure reliable operation under fluctuating conditions. This motor provides sufficient starting and stalling torque to handle variations.

Best Practices for Motor Sizing

  1. Accurate Load Calculation: Ensure the motor’s capacity matches the application load.
  2. Factor in Voltage Variations: Account for potential drops or surges in voltage.
  3. Use Manufacturer Data: Refer to motor and gear head catalogs for precise specifications.
  4. Test and Verify: Conduct real-world measurements using tools like strobe lights and torque meters.

Conclusion

Proper motor sizing and torque calculations are vital for ensuring efficient and reliable operations in applications like conveyors, blowers, and pumps. By understanding load requirements, voltage variations, and speed-torque curves, you can select the ideal motor for your system. For detailed motor specifications and torque-speed charts, always consult the manufacturer’s manual. Proper selection and installation will maximize motor performance, reduce downtime, and enhance overall efficiency.

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