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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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    A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induc...
    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%.
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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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