3 Phase Motor Winding Resistance Formula:
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The phase resistance of a 3-phase motor winding is the resistance measured between any two phases of the motor. It's an important parameter for motor performance analysis and fault detection.
The calculator uses the balanced 3-phase resistance formula:
Where:
Explanation: The formula calculates the equivalent resistance per phase in a balanced 3-phase system by accounting for the √3 relationship between line and phase quantities.
Details: Measuring winding resistance helps identify shorted turns, open circuits, or other winding faults. It's also used for calculating copper losses and efficiency.
Tips: Enter line-to-line voltage in volts and line current in amperes. All values must be positive numbers. For accurate results, measurements should be taken with the motor at rest.
Q1: Why is √3 used in the formula?
A: In balanced 3-phase systems, the relationship between line and phase quantities involves a √3 factor due to the 120° phase separation.
Q2: What are typical resistance values for motor windings?
A: Resistance varies by motor size and design, but typically ranges from fractions of an ohm to several ohms for larger motors.
Q3: When should resistance measurements be taken?
A: Best performed when the motor is cold, as resistance increases with temperature. Always disconnect power before measuring.
Q4: Does this work for unbalanced systems?
A: This formula is for balanced systems only. Unbalanced systems require individual phase measurements.
Q5: How does temperature affect resistance?
A: Resistance increases with temperature. For copper windings, resistance increases about 0.4% per °C rise in temperature.