1. What is Total Inertia Calculation?

The total inertia calculation determines the combined effect of motor inertia and reflected load inertia on a servo system. This is critical for proper servo motor sizing and tuning in Omron systems.

2. How Does the Calculator Work?

The calculator uses the inertia equation:

Where:

• \( J_{total} \) — Total inertia (kg-m²)
• \( J_{motor} \) — Motor rotor inertia (kg-m²)
• \( J_{load} \) — Load inertia (kg-m²)
• \( Ratio \) — Gear ratio (unitless)

Explanation: The load inertia is "reflected" through the gear ratio by dividing by the square of the ratio. This shows how gearing affects the apparent inertia of the load.

3. Importance of Inertia Calculation

Details: Proper inertia matching is crucial for servo system stability and performance. Omron typically recommends inertia ratios (load/motor) of 10:1 or less for optimal performance.

4. Using the Calculator

Tips: Enter motor inertia from specifications, measure or calculate load inertia, and input the actual gear ratio. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical motor inertia value?
A: Small servo motors might have 0.0001 kg-m² inertia, while larger ones can be 0.01 kg-m² or more. Check your motor specifications.

Q2: How do I measure load inertia?
A: For simple shapes, use standard formulas. For complex loads, use inertia measurement tools or perform acceleration tests.

Q3: Why is the ratio squared in the formula?
A: Inertia is proportional to the square of the speed ratio, so the reflected inertia changes with the square of the gear ratio.

Q4: What if my ratio is a reduction (greater than 1)?
A: The calculator works the same way - a higher ratio means the load inertia has less effect on the total system inertia.

Q5: What's the maximum recommended inertia ratio?
A: While Omron systems can handle up to 30:1 in some cases, keeping below 10:1 ensures better performance and stability.