2.1 State THREE advantages of a three-phase distribution system over a single-phase distribution system - NSC Electrical Technology Power Systems - Question 2 - 2017 - Paper 1
Question 2
2.1 State THREE advantages of a three-phase distribution system over a single-phase distribution system.
2.2 Draw a fully labelled representation diagram of a three... show full transcript
Worked Solution & Example Answer:2.1 State THREE advantages of a three-phase distribution system over a single-phase distribution system - NSC Electrical Technology Power Systems - Question 2 - 2017 - Paper 1
Step 1
State THREE advantages of a three-phase distribution system over a single-phase distribution system.
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Answer
Load Distribution: A three-phase system allows for more balanced load distribution across phases, which can enhance efficiency and minimize power losses.
Voltage Levels: Two voltages are available (line voltage and phase voltage), allowing for better adaptability in various applications.
Equipment Versatility: Three-phase supply systems are typically more versatile because they can operate in both star and delta configurations, facilitating different operational needs.
Step 2
Draw a fully labelled representation diagram of a three-phase generated voltage waveform in a three-phase system.
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Answer
The diagram consists of three sinusoidal voltage waves that are phase-shifted by 120 degrees from each other. Label the lines corresponding to the phases (R, Y, B) and reference the line voltages (+Vm and -Vm) as well as the zero voltage line. Ensure to indicate the phase angles clearly.
Step 3
State ONE disadvantage of using the two-wattmeter method to measure power in a three-phase system.
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Answer
One disadvantage of the two-wattmeter method is that its accuracy can reduce significantly if the power factor is either leading or lagging. This can lead to incorrect readings of power consumption.
Step 4
Calculate the Line voltage
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Answer
To find the line voltage (
VL), use the formula:
V_L = rac{S}{rac{ ext{√3}}{3} imes I_L}
Substituting the values:
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Answer
To calculate the phase voltage (
VPH), use the formula:
V_{PH} = rac{V_L}{ ext{√3}}
Substituting the line voltage:
V_{PH} = rac{379.84}{ ext{√3}} = 219.31 V
Step 6
Calculate Impedance per phase
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Answer
To calculate the impedance per phase (
ZPH), use the formula:
Z_{PH} = rac{V_{PH}}{I_{PH}}
Substituting values:
Z_{PH} = rac{219.31}{38} = 5.77 ext{ Ω}
Step 7
Describe how Eskom could benefit if consumers improved the power factor of their systems.
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Answer
Improving power factor can help Eskom reduce energy wastage, resulting in more efficient energy distribution. This means that more power will be available for consumers and could potentially decrease the generation costs, as better power factor reduces the burden on the generation capacity.