1. Ball Mill Critical Speed and Operating Speed
The critical speed of a ball mill is the rotational speed at which the centrifugal force acting on the grinding media (balls) equals the gravitational force, causing the balls to rotate with the mill shell rather than cascading and tumbling across the charge. At the critical speed there is no grinding action — the balls are pinned to the shell and the charge rotates as a solid body. All ball mills must operate below the critical speed.
where D = mill internal diameter in metres
Example — 1.2 m diameter ball mill:
Nc = 42.3 / √1.2 = 42.3 / 1.095 = 38.6 rpm
Example — 3.0 m diameter ball mill:
Nc = 42.3 / √3.0 = 42.3 / 1.732 = 24.4 rpm
Dry grinding ball mills: 70–80% of Nc
SAG mills: 75–85% of Nc
1.2 m mill at 70% Nc: 38.6 × 0.70 = 27.0 rpm
3.0 m mill at 72% Nc: 24.4 × 0.72 = 17.6 rpm
VFD allows operating speed to be adjusted in real time from 60% to 80% Nc to optimise for changing ore hardness or product target.
The output shaft speed from the mill drive motor and gearbox must match the required mill operating rpm. With a VFD, the motor frequency (and therefore the mill speed) is continuously adjustable, allowing the operator to optimise the percentage of critical speed for the actual ore being ground. Without VFD, the mill runs at a fixed fraction of critical speed determined by the fixed gear ratio — acceptable for single-ore operations but inflexible for variable-ore mineral processing plants.
2. Starting Torque Requirement for Ball Mill Drives
When a ball mill is stopped with a full charge of grinding balls and ore, the balls settle and pack at the lowest point of the mill shell. The static friction between the balls and the mill lining, combined with the gravitational load of the settled charge, creates a very high starting torque requirement — typically 2.0 to 2.5 times the rated running torque. This starting torque must be provided without damaging the motor winding through excessive starting current.
When the YVF2 motor is driven by a VFD with torque-boost or vector control, the VFD can deliver motor starting torque of 1.5 to 2.0 times rated torque at zero speed without exceeding the rated motor current. This is achieved by the VFD increasing the motor flux (through higher V/Hz ratio at low frequency) to produce additional torque during the start sequence. The YVF2 Class H winding handles this elevated magnetic flux at low speed without insulation stress. Sensorless vector VFD control provides the most accurate starting torque control for ball mill applications.
3. Why VFD Speed Control Improves Grinding Efficiency
Harder ores require the ball charge to drop from a higher angle, which means running at a higher percentage of critical speed (72 to 78% Nc for hard ore). Softer ores grind more efficiently at lower speed (62 to 68% Nc). A fixed-speed mill set for hard ore runs at excess speed (and excess energy consumption) when processing softer ore. VFD allows the operator to reduce mill speed for softer ore periods, saving 10 to 20% of mill drive energy.
Running at above-optimal speed for the ore type causes balls and liners to impact harder than necessary, accelerating wear. A 5% reduction in mill speed from the optimum for a given ore can reduce ball consumption by 8 to 12% and liner wear by 5 to 8%, extending maintenance intervals and reducing consumable costs. VFD adjustment to the optimum speed provides this wear reduction without sacrificing throughput.
Direct-on-line starting of large ball mill motors produces high current inrush (5 to 7 times rated) and high mechanical shock to the gearbox and mill shell as the motor comes up to speed. VFD starting ramps the motor from zero to operating speed over 5 to 15 seconds, eliminating current inrush and reducing the torque shock on the gearbox by 60 to 80%. This extends gearbox service life and reduces the frequency of gearbox gear tooth and bearing damage from heavy starts.
4. Ball Mill Motor Power Calculation
Mill length L = 1.5 m
Ball charge: 30% of mill volume
Ball density: 7,800 kg/m³ (steel)
Feed F80 = 6,000 μm; Product P80 = 150 μm
Bond Work Index Wi = 14 kWh/t (medium hardness)
Feed rate: 2.0 t/h
W = 140 × 0.00775 = 1.085 kWh/t
Mill power = 1.085 × 2.0 t/h = 2.17 kW at mill shell
With drive efficiency 0.92: motor power = 2.17 ÷ 0.92 = 2.36 kW
With starting torque factor 2.5: peak motor = 5.9 kW
→ Select YVF2 4-pole 3.0 kW IC416 (running) with VFD torque boost to 2.5× for starting
The Bond formula provides an estimate of specific grinding energy for mill sizing. For accurate motor selection on large industrial ball mills above 30 kW, use the full Bond calculation with correction factors for mill diameter, feed size, product size, and ore work index. Korea Ever-Power recommends applying a 1.25 service factor to the calculated motor power for VFD mill drives to account for model uncertainty and process variability.
5. S1 Continuous Duty and Thermal Considerations
Industrial ball mills in cement, mining, and mineral processing typically run S1 continuous duty for 20 to 24 hours per day, stopping only for planned maintenance intervals (typically weekly or bi-weekly) and liner change shutdowns. The YVF2 motor must be rated for S1 continuous at the operating point — the mill running power at the chosen percentage of critical speed. The IC416 blower ensures this S1 rating is maintained at any speed from 40% to 100% of rated.
Mining applications at high altitude (many South American and African mining operations are at 2,000 to 4,500 m) require motor power derating for the reduced cooling air density. At 2,500 m altitude, air density is approximately 74% of sea level, reducing motor cooling capacity. Standard IEC derating: apply a power factor of 0.92 per 1,000 m above 1,000 m. At 3,000 m: derate by 1 − (2 × 0.08) = 0.84 of rated power. Specify a larger YVF2 frame to compensate for altitude derating, or specify the motor at the derated power as the S1 continuous rating for the installation altitude.
6. Korea Ever-Power YVF2 Specifications for Mill Drives
The Korea Ever-Power YVF2 series provides the complete inverter-duty motor specification for ball mill, rod mill, and grinding mill VFD drives from small laboratory mills at 0.75 kW through to medium-scale cement and mineral processing mills at 200 kW. The IC416 forced cooling system, Class H VFD-duty winding, sensorless vector control compatibility, PTC thermistor protection, and IEC 72-1 metric frame make the YVF2 the correct replacement for existing fixed-speed mill motors being retrofitted with VFD drive systems. The full range is in the VFD motor section. For large mill drive specifications above 200 kW or synchronous motor requirements, contact Korea Ever-Power.
| Power range | 0.75–200 kW |
| Speed range | 0–120 Hz |
| Cooling | IC416 forced blower |
| Starting torque | 2.5× with VFD boost |
| Insulation | Class H VFD-duty |
| Duty | S1 continuous |
| Protection | PTC thermistors standard |
| Altitude | Derate above 1,000 m |
7. Ball Mill and Grinding Mill Applications
Mineral Processing Ball Mill
Gold, copper, and iron ore processing ball mills from 0.9 m to 3.0 m diameter. YVF2 4-pole 7.5 to 132 kW IC416 with gear drive at 10:1 to 30:1. Operating at 65 to 75% of critical speed via VFD adjustment. S1 continuous operation 20 to 24 hours per day. PTC thermistors mandatory for 24-hour unattended operation. Altitude derating applied for high-elevation mine sites above 2,000 m. |
Cement Ball Mill Retrofit VFD
Cement grinding mills retrofitting existing fixed-speed drives with VFD for speed optimisation and soft starting. YVF2 4-pole 45 to 200 kW IC416 replacing existing standard motors. VFD enables 5 to 12% energy saving by optimising mill speed for different cement blends. Existing gear and pinion drive maintained; only motor and control panel changed. Sensorless vector VFD tuned to mill inertia for optimal starting torque. |
Small pharmaceutical and research ball mills for API particle size reduction. YVF2 4-pole 0.75 to 3.0 kW IC416. Tight speed control ± 0.5 rpm for reproducible particle size distribution. Clean room compatible motor if required (BXG SS316L for pharmaceutical GMP area installation).
Porcelain, alumina, and ceramic raw material wet grinding mills for tile and sanitary ware production. YVF2 4-pole 5.5 to 55 kW. Wet grinding at 68 to 72% Nc. Speed control for different ceramic body formulations requiring different grinding fineness targets. IP55 for wet grinding building environment.
Ceramic pigment, titanium dioxide, and iron oxide pigment grinding for paint and ink manufacturing. YVF2 4-pole 2.2 to 22 kW. Precise speed control for particle size target. If grinding solvent-based pigments, specify YB2 Ex d IIB T4 for Zone 2 classification in solvent pigment areas.
Rod mills for coarse grinding in mineral processing circuits before ball mill secondary grinding. Similar drive requirements to ball mills: YVF2 4-pole 15 to 132 kW IC416, VFD control at 60 to 70% Nc. Rod mills typically have lower operating speed than ball mills of the same diameter due to the risk of rod tangling at high speed.




8. Frequently Asked Questions
Edited by Cxm