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Essential Motor Concepts and Selection Guidelines

Table of Contents

Essential Motor Concepts and Selection Guidelines
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This guide provides a clear overview of fundamental motor terminology and practical calculation methods, supporting informed decisions when selecting motors and speed reducers for diverse applications.

Motor Terminology
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Rating
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The rating defines the operational limits of a motor, including output power, voltage, current, frequency, torque, and rpm. Regarding temperature rise, ratings are categorized as either continuous or short-period.

Synchronous RPM
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The synchronous speed of a motor is determined by its frequency and the number of poles. The formula is:

  • Ns = (120 × f) / P
    • Ns: Synchronous rpm (revolutions per minute)
    • 120: Constant
    • f: Frequency
    • P: Number of poles

Rated Torque
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Rated torque is the torque produced by the motor at its rated rpm.

No-Load RPM
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This is the rpm of the motor when operating without any load.

Motor No-Load RPM Illustration

Continuous and Short-Period Ratings
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  • Continuous rating: The motor operates continuously at its rated output.
  • Short-period rating: The motor runs at rated output for a specified, limited period.

Output Power
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Output power indicates the work a motor can perform per unit time, determined by rpm and torque. The formula is:

  • Output (kW) = (T × N) / 97400
    • T: Torque (Kgcm)
    • N: RPM
    • 1 HP = 0.746 kW

Starting Torque
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Starting torque is the instantaneous torque generated when the motor starts. If the load exceeds this value, the motor will not start.

Slip
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Slip is a measure of the difference between synchronous and actual rpm:

  • S = (Ns - N) / Ns
    • S: Slip
    • Ns: Synchronous rpm
    • N: Actual rpm under load

Motor Selection and Calculation
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Speed Reducer Series Overview
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Calculating Reduction Gear Ratio
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Select the appropriate reduction gear ratio to match the output rpm of the gear reducer with the operating machine’s requirements:

  • i = Nm / Ng or 1 / i = Ng / Nm
    • i: Gear ratio
    • Ng: Output speed of gear reducer (rpm)
    • Nm: Motor running speed (rpm)
Torque Calculation for Direct Link Speed Reducer #

Choose the model that matches the required output torque:

  • Tg = Tm × i × η
    • Tg: Reducer output torque
    • Tm: Motor output torque
    • i: Ratio
    • η: Speed reducer transmission efficiency
Maximum Permissible Torque
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Maximum Permissible Torque Diagram

The output torque of a speed reducer is limited by the gearbox’s quality and structural design, especially at higher reduction ratios. Each model has a maximum permissible torque, as illustrated above.


Basic Motor Capacity Calculations
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Basic Motor Capacity Calculation

General Formula
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  • Pg = (P1 + P2 + P3) × 100 / η [W]
  • P1 = 9.8 × μ × W × V × λ [W]
  • P2 = (μ × Q × λ) / 367 [W]
  • P3 = ± (Q × H) / 367 [W]
    • λ: Conveyor length (distance between shafts, m)
    • W: Weight per unit length of belt (kg/m)
    • μ: Friction coefficient
    • V: Belt speed (m/sec)
    • Q: Conveyance volume (kg/h)
    • η: Efficiency (%)
    • H: Height difference between conveyor ends (m)

Lifting Load Applications
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Lifting Load Calculation

  • Pg = (W × V) / (6 × 12) × (100/η) [W]

Driving Inertia Body
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Driving Inertia Body Calculation

  • Pg = 1.027 × N × T [W]
  • T ≈ (GD² / 375) × (N / t) [kgf × m]
    • N: Revolutions per minute (rpm)
    • T: Torque (kgf × m)
    • GD²: Flywheel effect (kgf × m²), including rotor
    • t: Starting time (sec)

Level Movement on Contact Surface
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Level Movement Calculation

  • Pg = (μ × W × V) / (6 × 12) [W]

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