Improving power factor reduces demand tariffs, lowers kVA charges, and eliminates thermal stress on sub-main cables. Industrial plants with heavy motor loads draw lagging reactive current — installing automatic capacitor banks under AS/NZS 3000 supplies this reactive current locally to maintain grid connection compliance.
How Power Factor Correction Works — The kVAR Formula
AC electrical power comprises active power (kW), reactive power (kVAR), and apparent power (kVA). These three vector components form the classical Power Triangle:
Apparent Power (kVA)² = Active Power (kW)² + Reactive Power (kVAR)²
Power Factor (PF) = Active Power (kW) / Apparent Power (kVA) = cos(θ)
Required kVAR = kW × (tan(acos(PF_existing)) − tan(acos(PF_target)))
Connecting power factor correction capacitors supplies leading reactive power that cancels out lagging reactive current drawn by motors and compressors. This shortens the reactive leg of the triangle, bringing kVA demand closer to kW active power and reducing line current.
Worked Example 1 — Sizing a Capacitor Bank for a Fabrication Workshop
Consider a metal fabrication workshop operating heavy lathes, arc welders, and air compressors on a 400V 3-phase supply:
Step 1 — Identify Load Parameters
- Active Power (P) = 50 kW
- Existing Power Factor (PF_existing) = 0.75 lagging
- Target Power Factor (PF_target) = 0.95 lagging
Step 2 — Apply kVAR Formula
Existing angle (θ₁) = acos(0.75) = 41.4° → tan(41.4°) = 0.8819
Target angle (θ₂) = acos(0.95) = 18.2° → tan(18.2°) = 0.3287
Required kVAR = 50 kW × (0.8819 − 0.3287) = 50 × 0.5532 = 27.66 kVAR
Step 3 — Hardware Selection & Demand Savings
The site requires 27.66 kVAR. Select a standard 30 kVAR capacitor bank. Prior to correction, apparent demand was 66.7 kVA drawing 96.2A on 400V 3-phase. After installing correction capacitors, demand drops to 52.6 kVA (76.0A) — achieving a 21% current reduction and freeing 20A capacity in sub-main cables.
Worked Example 2 — Sizing an Automatic Stage Bank for a Commercial Building
Calculate PFC capacity for a commercial building with HVAC chillers, water pumps, and elevators drawing 200 kW peak active load at 0.70 PF:
Step 1 — Identify Load Parameters
- Active Power (P) = 200 kW
- Existing Power Factor (PF_existing) = 0.70 lagging
- Target Power Factor (PF_target) = 0.98 lagging
Step 2 — Apply kVAR Formula
Existing angle (θ₁) = acos(0.70) = 45.6° → tan(45.6°) = 1.0202
Target angle (θ₂) = acos(0.98) = 11.5° → tan(11.5°) = 0.2031
Required kVAR = 200 kW × (1.0202 − 0.2031) = 200 × 0.8171 = 163.4 kVAR
Step 3 — Hardware Selection & Demand Savings
The facility requires 163.4 kVAR. Install a 200 kVAR automatic capacitor bank configured in 6 × 33 kVAR stages. Uncorrected demand was 285.7 kVA (412.4A). Corrected demand drops to 204.1 kVA (294.6A), freeing 118 Amps of capacity on the main switchboard.
Typical Power Factors of Common Electrical Equipment
Typical uncorrected power factors for common commercial and industrial machinery:
| Equipment Type | Typical Power Factor (Lagging) | Load Category | Correction Priority |
|---|---|---|---|
| Standard AC Induction Motor (Full Load) | 0.80 – 0.85 | Inductive Motor | MEDIUM |
| Underloaded AC Motor (No Load) | 0.15 – 0.25 | Inductive Motor | HIGH |
| Air Compressor Pump | 0.75 – 0.82 | HVAC / Pumps | MEDIUM |
| Refrigeration Chiller | 0.72 – 0.80 | HVAC / Pumps | MEDIUM |
| Arc Welding Plant | 0.50 – 0.70 | Industrial Plant | HIGH |
| Magnetic Ballast Fluorescent Fitting | 0.50 – 0.60 | Lighting | HIGH |
| LED Lighting Fittings (with drivers) | 0.90 – 0.98 | Lighting | LOW |
| Resistance Heating / Furnace | 1.00 | Purely Resistive | LOW |
| Unloaded Transformer | 0.10 – 0.20 | Substation | HIGH |
Common Mistakes When Sizing Capacitor Banks
- Targeting Unity (1.0 PF): Attempting to correct to 1.0. A slight load drop creates a leading power factor, causing dangerous overvoltage spikes and harmonic resonance. Always target 0.95 to 0.98.
- Using Fixed Banks on Variable Loads: Installing fixed capacitors on main switchboards without automatic stage control. Light night/weekend loads cause over-correction and voltage rise.
- Omitting Detuned Reactors with VFDs: Installing standard capacitors near non-linear loads like VFDs or LED drivers. Detuned 7% or 14% series reactors are mandatory to prevent harmonic resonance from exploding capacitors.
When is Power Factor Correction Required?
- When electricity bills include kVA demand penalties or reactive energy surcharge lines.
- When distribution network connection agreements (Ausgrid, Energex, Western Power, SA Power Networks) require minimum 0.90 or 0.95 PF.
- When switchboard cables or kiosk transformers run near 100% thermal capacity and require immediate load relief.
Australian Standards & Compliance
PFC designs and capacitor installations must comply with:
- AS/NZS 3000: Wiring Rules — cable isolation, protection coordination, and switchboard clearances.
- AS/NZS 61000.3.2: Electromagnetic compatibility harmonic emission limits.
- AS/NZS 60831: Self-healing shunt power capacitors for low voltage AC systems.
Related Electrical Design Tools
Complete your facility calculations with our free Australian compliance tools:
- Transformer Sizing Calculator — Size main substation transformers under safety margin rules.
- kW to Amps Calculator — Convert motor kW to line current for 230V/400V systems.
- AS/NZS 3008 Cable Sizing Calculator — Size conductors for continuous current carrying capacity.
- Voltage Drop Calculator AS3000 — Check voltage drop compliance over long sub-mains.
- Maximum Demand Calculator AS3000 — Determine switchboard demand using Table C1 rules.