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440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.?
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440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill ...
Calculation of Minimum Line Voltage Required for Full Load Torque
Given:
Voltage (V) = 440 V
Frequency (f) = 50 Hz
X0/R2 = 3/1
Maximum torque (Tmax) = 4 x Full load torque (TFL)
To find:
Minimum line voltage required for full load torque (TFL)
Formula:
TFL = (V1φ)2 / [(2πf)(R1+R2)2/s]
Tmax = (V1φ)2 / [(2πf)(R2/s)2]
X1/R1 = X0/R2
Calculation:
From the given data, we can say that Tmax = 4 x TFL
Therefore, (V1φ)2 / [(2πf)(R2/s)2] = 4 x (V1φ)2 / [(2πf)(R1+R2)2/s]
Solving for s, we get s = 2
Therefore, X1/R1 = X0/R2 = 3/1
From the equivalent circuit of the motor, we can say that
X1 = X0/3 and R1 = R2/3
Therefore, X1 = (X0/R2) x R2/3 = 1 and R1 = R2/3
Substituting the values in the formula for TFL, we get
TFL = (V1φ)2 / [(2πf)(4R2/9)]
TFL = (V1φ)2 / [(8πfR
Given:
Voltage (V) = 440 V
Frequency (f) = 50 Hz
X0/R2 = 3/1
Maximum torque (Tmax) = 4 x Full load torque (TFL)
To find:
Minimum line voltage required for full load torque (TFL)
Formula:
TFL = (V1φ)2 / [(2πf)(R1+R2)2/s]
Tmax = (V1φ)2 / [(2πf)(R2/s)2]
X1/R1 = X0/R2
Calculation:
From the given data, we can say that Tmax = 4 x TFL
Therefore, (V1φ)2 / [(2πf)(R2/s)2] = 4 x (V1φ)2 / [(2πf)(R1+R2)2/s]
Solving for s, we get s = 2
Therefore, X1/R1 = X0/R2 = 3/1
From the equivalent circuit of the motor, we can say that
X1 = X0/3 and R1 = R2/3
Therefore, X1 = (X0/R2) x R2/3 = 1 and R1 = R2/3
Substituting the values in the formula for TFL, we get
TFL = (V1φ)2 / [(2πf)(4R2/9)]
TFL = (V1φ)2 / [(8πfR
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440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.?
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440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.?.
440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about 440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 440 V, 50 Hz, squirrel cage induction motor has a ratio of standstill reactance to resistance of rotor per phase of 3 to 1 and a maximum torque which is 4 times the normal full load torque. The minimum line voltage required to develop the normal full load torque at starting is _____ V.?.
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