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Motor capacitor sizing for power factor correction

Enter the motor nameplate and no-load current to see how many kvar to connect at the terminals without self-excitation risk, how much current drops and what to reset the overload to.

Pre-sizing and estimating tool: results do not replace design, calculations or reports signed by a licensed professional, nor verification against the applicable codes and standards.

Pre-sizing
Motor
Correction
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Never connect a capacitor on the output of a variable frequency drive, nor between a soft starter and the motor without a bypass contactor: electronic switching destroys the capacitor.

Capacitors hold a charge after switch-off. Before touching, wait the discharge time on the label and verify absence of voltage (NEC 460.6, NFPA 70E).

—Capacitor for the motor
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Power factor versus load

Without and with the chosen capacitor, from 25% to 125% of rated power. A fixed capacitor helps most at light load, where the motor power factor is worst.

Tap the chart to see the values.

Reactive power: need and limits

Motor kvar at no load and full load, the amount needed for the target power factor, the self-excitation limit, the table value and the chosen size.

Tap the chart to see the values.

Motor with and without capacitor by load

Input power, power factor and line current.

Next step

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Method, assumptions and references

Equations used

Input power: Pe = P ÷ η; full-load reactive: Q1 = Pe · tan(acos PF1); needed: Qc = Pe · (tan φ1 − tan φ2)
No-load reactive: Q0 = √3 · V · I0; self-excitation limit: Qc ≤ 0.9 · Q0
Part load x: P = x · Pe; Q = Q0 + (Q1 − Q0) · x²; PF = P ÷ √(P² + (Q − Qc)²); I = √(P² + (Q − Qc)²) ÷ (√3 · V)
Overload with capacitor on its load side: Ir = FLA · PF before ÷ PF after; capacitor current: Ic = Qc ÷ (√3 · V)

Assumptions and limits

  • Magnetizing reactive power (Q0) is taken as constant and leakage reactive power grows with the square of load; efficiency is held constant. It is an approximation: manufacturer data with PF at 50%, 75% and 100% load is more accurate.
  • The default table is from figure L25 of the Electrical Installation Guide (Schneider Electric) for 400 V, 50 Hz motors; the capacitor is assumed rated at the supply voltage. Usual standard sizes from 0.5 to 200 kvar.
  • Not for motors on variable frequency drives, reversing, plugging or fast reclosing; compensate at the main switchboard instead.

Standards and technical documents

  • IEC 60831-1: Shunt power capacitors of the self-healing type for a.c. systems having a rated voltage up to and including 1000 V
  • IEC 60034-1: Rotating electrical machines — Rating and performance
  • Schneider Electric. Electrical Installation Guide, chapter L: Power factor correction (Power factor correction of induction motors, fig. L25)
  • NFPA 70, National Electrical Code 2023, Article 460 (460.6, 460.7, 460.8, 460.9)
  • IEEE Std 1036: Guide for the Application of Shunt Power Capacitors

U.S. regulations

  • NFPA 70 (NEC) Article 460: capacitors, as adopted by state and local jurisdictions
  • OSHA 29 CFR 1910 Subpart S: electrical safety in general industry
  • NFPA 70E: Standard for Electrical Safety in the Workplace

Frequently asked questions

What is individual power factor correction?

It means connecting a capacitor right at a motor terminals so it supplies the reactive power the motor uses to magnetize. The supply delivers less current, cables and transformer are relieved and any reactive charges drop. It suits large motors that run many hours a day.

How many kvar does my motor need?

It depends on the present and target power factor: Qc = P ÷ η × (tan φ1 − tan φ2). In the example, a 40 hp motor at 94.1% efficiency and 0.85 PF needs about 9.2 kvar to reach 0.95; the calculator picks the standard 10 kvar unit, below the 10.8 kvar self-excitation limit.

What is self-excitation and how do I avoid it?

When the motor is switched off with the capacitor still at its terminals, the capacitor can keep it magnetized and the coasting motor becomes a generator, with overvoltage. Keep capacitor kvar at or below 90% of no-load reactive power, √3 × V × no-load current; NEC 460.7 says it must not exceed the value that raises no-load power factor to unity. With 15 A no-load at 460 V that is 12.0 kvar and a 10.8 kvar limit.

Where do I find no-load current?

On the manufacturer data sheet, or measure it with a clamp meter with the motor running uncoupled. It is usually 25% to 50% of full-load current. Without it, the calculator uses the typical kvar table by size and poles, which you can replace with the manufacturer table.

Do I need to change the overload setting?

Yes, if the capacitor is on the load side of the overload: NEC 460.9 requires the setting to be based on the improved power factor. The new setting is FLA × PF before ÷ PF after; in the example, about 42 A instead of 47 A. With the capacitor on the line side, the setting stays.

Does the capacitor cut the motor energy use?

No. The motor still uses the same real power (kW). What drops is current in the supply, cable and transformer losses and any utility power factor or kVA demand charges.

When should I not put a capacitor on a motor?

On motors fed by variable frequency drives, soft starters without bypass, reversing or plugging duty, or fast reclosing. Correct at the main switchboard with an automatic bank instead; see the plant power factor calculator.