4.1 Refer to FIGURE 4.1 and answer the questions that follow - NSC Electrical Technology Power Systems - Question 4 - 2022 - Paper 1
Question 4
4.1 Refer to FIGURE 4.1 and answer the questions that follow.
4.1.1 Write down the typical line voltage value of a three-phase supply for the end user.
4.1.2 Write... show full transcript
Worked Solution & Example Answer:4.1 Refer to FIGURE 4.1 and answer the questions that follow - NSC Electrical Technology Power Systems - Question 4 - 2022 - Paper 1
Step 1
4.1.1 Write down the typical line voltage value of a three-phase supply for the end user.
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Answer
The typical line voltage value for a three-phase supply for the end user is between 380 V and 415 V.
Step 2
4.1.2 Write down the standard international colour code for L1, L2, and L3.
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Answer
The standard international colour code is as follows:
L1: red
L2: yellow/white
L3: blue
Step 3
4.1.3 Draw a phasor diagram for the waveforms in FIGURE 4.1.
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A phasor diagram for three-phase waveforms can be represented with three vectors, each separated by 120 degrees, indicating the sine wave representations of L1, L2, and L3.
Step 4
4.2 Name the THREE network stages of the national power grid in the CORRECT order.
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The three network stages of the national power grid in order are:
Generation
Transmission
Distribution
Step 5
4.3.1 Line voltage
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Answer
Line voltage is measured between any two lines, typically represented as (L1 & L2, L2 & L3, or L1 & L3).
Step 6
4.3.2 Phase voltage
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Phase voltage is measured between any line and the neutral, typically represented as (L1 & N, L2 & N, or L3 & N).
Step 7
4.4 Explain reactive power in an AC system.
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Reactive power is the power that flows back and forth between the supply and reactive components like inductors and capacitors in an AC system. It is essential for establishing the magnetic fields needed for the operation of transformers and motors but does no net work.
Step 8
4.5.1 The line voltage.
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Answer
The line voltage (VL) can be calculated using the formula:
V_L = rac{V_{ph}}{rac{1}{ ext{sqrt}(3)}} = ext{sqrt}(3) imes 230 V \\ = 398.37 V
Step 9
4.5.2 Apparent power.
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The apparent power (S) can be calculated as:
S=extsqrt(3)imesVLimesIL=extsqrt(3)imes398.37Vimes35A=24149.90VA
Step 10
4.5.3 Reactive power.
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The reactive power (Q) can be computed using:
Q=extsqrt(3)imesVLimesILimesextsin(heta)=extsqrt(3)imes398.37Vimes35Aimesextsin(18°)=7467.73VAr
Step 11
4.5.4 True power.
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The true power (P) is calculated as:
P=extsqrt(3)imesVLimesILimesextcos(heta)=extsqrt(3)imes398.37Vimes35Aimesextcos(18°)=22967.91W
Step 12
4.6.1 Identify the following coils:
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(a) Coil 1 of W1 - current coil
(b) Coil 2 of W2 - voltage coil
Step 13
4.6.2 Name TWO advantages of using this wattmeter method.
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Two advantages of using the two-wattmeter method are:
It can measure both balanced and unbalanced loads.