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A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 5.39 Ω, R2 = 5.72 Ω, X1 = X2 = 8.22 Ω. Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is __________.
Correct answer is '14.95'. Can you explain this answer?
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A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squ...
Given R1 = 5.39Ω, R2 = 5.72Ω, X1 = X2 = 8.22Ω for frequency → 10 Hz
Starting phase current at 10 Hz
IPn = 8.63A
Starting line current =
Starting phase current at 10 Hz
IPn = 8.63A
Starting line current =
Most Upvoted Answer
A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squ...
Ω, R2 = 7.89 Ω, X1 = 8.75 Ω, and X2 = 11.02 Ω. The magnetizing reactance is Xm = 56.9 Ω and the core loss resistance is Rc = 1.61 Ω.
To find the torque developed by the motor at full load, we can use the torque equation for an induction motor:
T = (3 * Vph * I2 * R2) / s
where T is the torque in Nm, Vph is the phase voltage in volts, I2 is the rotor current in amps, R2 is the rotor resistance in ohms, and s is the slip.
First, we need to find the rotor current at full load. The power input to the motor is given as 3.7 kW. Assuming the motor is operating at full load, we can use the following formula to find the rotor power:
P2 = P1 - Pcore - Pm
where P2 is the rotor power in watts, P1 is the power input to the motor in watts, Pcore is the core loss power in watts, and Pm is the mechanical power output in watts.
Pcore can be calculated as:
Pcore = 3 * I1^2 * Rc
where I1 is the stator current in amps, which can be calculated using the power input and the line voltage:
I1 = P1 / (sqrt(3) * Vline)
The mechanical power output can be calculated as:
Pm = T * ωm
where Pm is the mechanical power output in watts, T is the torque in Nm, and ωm is the mechanical angular velocity in radians per second.
The mechanical angular velocity is related to the slip by the equation:
ωm = (1 - s) * ωs
where ωs is the synchronous angular velocity in radians per second, which can be calculated as:
ωs = 2 * π * f
where f is the frequency in Hz.
Let's assume the slip at full load is 0.02. Using these formulas, we can calculate the torque developed by the motor at full load.
To find the torque developed by the motor at full load, we can use the torque equation for an induction motor:
T = (3 * Vph * I2 * R2) / s
where T is the torque in Nm, Vph is the phase voltage in volts, I2 is the rotor current in amps, R2 is the rotor resistance in ohms, and s is the slip.
First, we need to find the rotor current at full load. The power input to the motor is given as 3.7 kW. Assuming the motor is operating at full load, we can use the following formula to find the rotor power:
P2 = P1 - Pcore - Pm
where P2 is the rotor power in watts, P1 is the power input to the motor in watts, Pcore is the core loss power in watts, and Pm is the mechanical power output in watts.
Pcore can be calculated as:
Pcore = 3 * I1^2 * Rc
where I1 is the stator current in amps, which can be calculated using the power input and the line voltage:
I1 = P1 / (sqrt(3) * Vline)
The mechanical power output can be calculated as:
Pm = T * ωm
where Pm is the mechanical power output in watts, T is the torque in Nm, and ωm is the mechanical angular velocity in radians per second.
The mechanical angular velocity is related to the slip by the equation:
ωm = (1 - s) * ωs
where ωs is the synchronous angular velocity in radians per second, which can be calculated as:
ωs = 2 * π * f
where f is the frequency in Hz.
Let's assume the slip at full load is 0.02. Using these formulas, we can calculate the torque developed by the motor at full load.
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A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 5.39 Ω, R2 = 5.72 Ω, X1 = X2 = 8.22 Ω. Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is __________.Correct answer is '14.95'. Can you explain this answer?
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A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 5.39 Ω, R2 = 5.72 Ω, X1 = X2 = 8.22 Ω. Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is __________.Correct answer is '14.95'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 5.39 Ω, R2 = 5.72 Ω, X1 = X2 = 8.22 Ω. Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is __________.Correct answer is '14.95'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A delta-connected, 3.7 kW, 400 V(line), three-phase, 4-pole, 50-Hz squirrel-cage induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 5.39 Ω, R2 = 5.72 Ω, X1 = X2 = 8.22 Ω. Neglect shunt branch in the equivalent circuit. The starting line current in amperes (round off to two decimal places) when it is connected to a 100 V (line), 10 Hz, three-phase AC source is __________.Correct answer is '14.95'. Can you explain this answer?.
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