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About

Running a three-phase induction motor on a single-phase supply is a common requirement in home workshops where 400V 3-phase power is unavailable. This is achieved using the Steinmetz connection, where a permanent run capacitor creates a phase shift to simulate a third phase. While this allows the motor to rotate, it typically results in a 30% reduction in starting torque and a 20% drop in power efficiency.

Choosing the correct capacitor value is critical. A value that is too low will prevent the motor from starting or providing torque, while a value that is too high causes excessive current in the auxiliary winding, leading to rapid overheating and potential burnout. This calculator uses the empirical formula derived for 220V-240V standard mains to determine the safe capacitance range and suggests the nearest standard commercial component.

motor capacitor steinmetz 3-phase electrical engineering

Formulas

The Steinmetz formula estimates capacitance C based on motor current I and mains voltage U:

C = k × IphaseU

For a standard 230V supply at 50Hz, the constant k is approximately 4800. If the phase current is unknown, a power-based approximation is used:

C (approx) 70 × PkW

Always choose a capacitor rated for at least 400V or 450V AC, as voltage across the capacitor can exceed mains voltage due to resonance.

Reference Data

Motor Power (kW)Motor Power (HP)Approx. Cap (μF)Fuse Rec (A)
0.180.2512162
0.370.5025304
0.550.7535406
0.751.0506010
1.11.5708016
1.52.09010016
2.23.013015020

Frequently Asked Questions

No. Start capacitors (electrolytic) are designed for intermittent duty only and will explode if left in the circuit continuously. You must use a Run Capacitor (usually Polypropylene or Oil-filled), typically rated as 'CBB60' or 'CBB65'.
This depends on your motor's nameplate and your mains voltage. In Europe (230V mains), most small motors (230/400V) must be connected in Delta (ฮ”) to receive 230V across the windings. If the motor is 400/690V, it cannot be run effectively on 230V single-phase.
The motor will sound loud and overheat rapidly. The auxiliary winding acts as a generator, creating excess voltage. Check the motor temperature after 10 minutes of running; if it's too hot to touch, lower the capacitance.