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5.1 Define the term synchronous speed of the motor - NSC Electrical Technology Power Systems - Question 5 - 2019 - Paper 1

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5.1 Define the term synchronous speed of the motor. 5.2 Give the reasons why the following tests are conducted: 5.2.1 Continuity test 5.2.2 Insulation resis... show full transcript

Worked Solution & Example Answer:5.1 Define the term synchronous speed of the motor - NSC Electrical Technology Power Systems - Question 5 - 2019 - Paper 1

Step 1

Define the term synchronous speed of the motor.

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Answer

The synchronous speed of a motor is the speed at which the magnetic field rotates, determined by the frequency of the AC supply and the number of poles in the motor. It can be calculated using the formula: Ns=60fpN_s = \frac{60 \cdot f}{p} where NsN_s is the synchronous speed in revolutions per minute (r/min), ff is the frequency in hertz (Hz), and pp is the number of poles.

Step 2

Give the reasons why the following tests are conducted: 5.2.1 Continuity test

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Answer

The continuity test is conducted to ensure:

  1. There is an uninterrupted electrical connection between the terminals.
  2. There is continuity between the ends of each coil.

Step 3

Give the reasons why the following tests are conducted: 5.2.2 Insulation resistance test

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Answer

The insulation resistance test is conducted to ensure:

  1. There is no electrical connection between the coils and earth.
  2. There is no path for current to escape that may lead to faults.

Step 4

Describe the operation of the squirrel-cage induction motor.

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Answer

When a three-phase supply is connected to the stator winding, a rotating magnetic field is produced. This flux induces an electromotive force (e.m.f) in the rotor, causing current to flow through it and generating a magnetic field. The interaction between the stator's rotating field and the rotor's generated field creates forces that make the rotor turn, allowing the motor to operate.

Step 5

Identify the interlocking contacts.

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Answer

The interlocking contacts are MC3 (NC) and MC2 (NC). These ensure that MC1 operates correctly without simultaneous energization.

Step 6

Explain why MC1 (N/O1) is connected in parallel with the start button.

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Answer

MC1 (N/O1) is connected in parallel with the start button so that when the start button is pressed, the circuit remains closed even after release, thus maintaining the operation of the motor.

Step 7

Describe the operation of the star-delta control circuit.

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Answer

When the start button is pressed, MC1 will be energized, closing MC1 (N/O1) and MC1 (N/O2). This energizes MC2 (N/C) and starts the motor in star mode, winding coils together. After a preset time, timer T will open T (N/O), de-energizing MC2 and closing MC3. The motor runs in delta configuration, enhancing its operational capacity while preventing overload.

Step 8

Calculate: 5.5.1 Synchronous speed in r/min

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Answer

To calculate the synchronous speed: Given that p=18p = 18, we have: Ns=605018=166.67r/minN_s = \frac{60 \cdot 50}{18} = 166.67 \, \text{r/min}

Step 9

Calculate: 5.5.2 Percentage slip if the rotor speed is 955 r/min.

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Answer

To calculate the percentage slip: Slip=NsNrNs×100\text{Slip} = \frac{N_s - N_r}{N_s} \times 100 Substituting the values: Slip=(166.67955)166.67×100=4.5%\text{Slip} = \frac{(166.67 - 955)}{166.67} \times 100 = 4.5\%

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