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Protecting devices selected for one set of unbalanced conditions maybe ___________ for a different set of unbalanced voltages.
inadequate
adequate
Perfectly
Cant say anything using only this data
inadequate
Protecting devices selected for one set of unbalanced voltage conditions may be inadequate for a different set of unbalanced voltages ┬╖ Voltage unbalance in induction motors causes asymmetrical phase currents, leading to excessive heating and localized hot spots in the stator and rotor windings ┬╖ Because protection relay settings configured for a specific voltage unbalance magnitude or sequence ratio might not trip under a different combination of sequence voltages, the motor remains vulnerable to thermal degradation.
Protecting devices selected for one set of unbalanced voltage conditions may be inadequate for a different set of unbalanced voltages ┬╖ Voltage unbalance in induction motors causes asymmetrical phase currents, leading to excessive heating and localized hot spots in the stator and rotor windings ┬╖ Because protection relay settings configured for a specific voltage unbalance magnitude or sequence ratio might not trip under a different combination of sequence voltages, the motor remains vulnerable to thermal degradation.
%LVU=Avg┬аVoltageMax┬аDeviation┬аfrom┬аAvg┬аVoltageтАЛ├Ч100%тАФLine Voltage Unbalance Rate (NEMA definition)
I2тАЛ =Z2тАЛV2тАЛтАЛ тАФ Negative-sequence current resulting from negative-sequence voltage
When an induction motor is supplied with unbalanced voltages, the voltage can be resolved into positive-sequence (V1тАЛ), negative-sequence (V2тАЛ), and zero-sequence (V0тАЛ) components using symmetrical components ┬╖ The negative-sequence voltage produces a magnetic field rotating in opposition to the rotor, resulting in high negative-sequence current (I2тАЛ) due to the low negative-sequence impedance (Z2тАЛтЙИZlocked-rotorтАЛ) ┬╖ If the supply voltage unbalance changes, the ratio of V2тАЛ/V1тАЛ alters drastically, producing localized overheating that fixed protection relays set for a different unbalance condition cannot reliably detect.
A small percentage of voltage unbalance leads to a disproportionately large percentage of phase current unbalance (typically 6 to 10 times higher).
Negative-sequence currents produce a reverse rotating magnetic field that induces double-frequency (2f) currents in the rotor, leading to extreme rotor heating.
Conventional thermal overload relays calibrated solely for symmetrical phase currents fail to offer adequate protection under dynamic or varying unbalance conditions.
Option B (adequate) is incorrect because protection calibrated for one specific degree or phase angle of unbalance will fail to trip properly under different unbalance conditions.
Option C (Perfectly) is incorrect as protective settings are sensitive to the specific sequence component ratios and magnitude shifts.
Option D is incorrect because standard electrical engineering principles clearly demonstrate the inadequacy of fixed protections under variable unbalance states.
A is correct тАФ Protective devices configured for a particular set of unbalanced voltages are inadequate for a different set because the magnitude and phase distribution of negative-sequence currents change dramatically.
In competitive exams like GATE and ESE, remember that a 1% voltage unbalance can cause up to 6%тИТ10% current unbalance in induction motors due to low negative-sequence impedance (Z2тАЛ) ┬╖ Always check negative-sequence relay protection (46 device) for unbalanced fault analysis.