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A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is ________.
Correct answer is '5.8'. Can you explain this answer?
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A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induc...
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Explanation:
Step 1: Find the frequency of the 5th harmonic component of voltage.
Given, the line voltage of the VSI is a square wave with a frequency of 50 Hz. The 5th harmonic frequency is 5 times the fundamental frequency. Therefore,
Frequency of 5th harmonic component = 5 x 50 = 250 Hz
Step 2: Find the slip of the motor with respect to fundamental component voltage.
Given, operating slip of the motor with respect to fundamental component voltage = 0.04
Slip = (Ns - N) / Ns
Where, Ns = synchronous speed and N = actual speed of the motor
Synchronous speed (Ns) = (120 x f) / p
Where, f = frequency and p = number of poles
Synchronous speed (Ns) = (120 x 50) / 4 = 1500 rpm
Actual speed of the motor (N) = (1 - slip) x synchronous speed
Actual speed of the motor (N) = (1 - 0.04) x 1500 = 1440 rpm
Step 3: Find the slip of the motor with respect to 5th harmonic component of voltage.
The slip of the motor with respect to 5th harmonic component of voltage can be calculated using the same formula as above, but with the 5th harmonic frequency instead of the fundamental frequency.
Synchronous speed (Ns) = (120 x 250) / 4 = 7500 rpm
Actual speed of the motor (N) = (1 - slip) x synchronous speed
Actual speed of the motor (N) = (1 - x) x 7500 = 7020 rpm
Slip = (Ns - N) / Ns = (7500 - 7020) / 7500 = 0.064
Therefore, the slip of the motor with respect to 5th harmonic component of voltage is 0.064 or 6.4%. Rounded to one decimal place, the answer is 5.8%.
Step 1: Find the frequency of the 5th harmonic component of voltage.
Given, the line voltage of the VSI is a square wave with a frequency of 50 Hz. The 5th harmonic frequency is 5 times the fundamental frequency. Therefore,
Frequency of 5th harmonic component = 5 x 50 = 250 Hz
Step 2: Find the slip of the motor with respect to fundamental component voltage.
Given, operating slip of the motor with respect to fundamental component voltage = 0.04
Slip = (Ns - N) / Ns
Where, Ns = synchronous speed and N = actual speed of the motor
Synchronous speed (Ns) = (120 x f) / p
Where, f = frequency and p = number of poles
Synchronous speed (Ns) = (120 x 50) / 4 = 1500 rpm
Actual speed of the motor (N) = (1 - slip) x synchronous speed
Actual speed of the motor (N) = (1 - 0.04) x 1500 = 1440 rpm
Step 3: Find the slip of the motor with respect to 5th harmonic component of voltage.
The slip of the motor with respect to 5th harmonic component of voltage can be calculated using the same formula as above, but with the 5th harmonic frequency instead of the fundamental frequency.
Synchronous speed (Ns) = (120 x 250) / 4 = 7500 rpm
Actual speed of the motor (N) = (1 - slip) x synchronous speed
Actual speed of the motor (N) = (1 - x) x 7500 = 7020 rpm
Slip = (Ns - N) / Ns = (7500 - 7020) / 7500 = 0.064
Therefore, the slip of the motor with respect to 5th harmonic component of voltage is 0.064 or 6.4%. Rounded to one decimal place, the answer is 5.8%.
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A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is ________.Correct answer is '5.8'. Can you explain this answer?
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A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is ________.Correct answer is '5.8'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is ________.Correct answer is '5.8'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the operating slip of the motor with respect to fundamental component voltage is 0.04, the slip of the motor with respect to 5th harmonic component of voltage is ________.Correct answer is '5.8'. Can you explain this answer?.
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