Verwys na FIGUUR 4.7 hieronder en antwoord die vrae wat volg - NSC Electrical Technology Power Systems - Question 4 - 2021 - Paper 1
Question 4
Verwys na FIGUUR 4.7 hieronder en antwoord die vrae wat volg.
Gegee:
TR = 5 : 1
Vf1 = 2 000 V
S = 50 kVA
Puit = 45 kW
Transformatorverlies = 500 W
Bereken die:
4... show full transcript
Worked Solution & Example Answer:Verwys na FIGUUR 4.7 hieronder en antwoord die vrae wat volg - NSC Electrical Technology Power Systems - Question 4 - 2021 - Paper 1
Step 1
4.7.1 Sekondêre fase spanning
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Answer
Om die sekondêre fase spanning te bereken, gebruik ons die omgekeerde verhouding van die transformator:
V_{2} = rac{N_{2}}{N_{1}} imes V_{f1}
Hier is die verhouding TR=5:1, wat beteken dat N1=5 en N2=1.
Deur substitusie te doen:
V_{2} = rac{1}{5} imes 2000 = 400 ext{ V}
Step 2
4.7.2 Rendement van die transformator
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Answer
Die rendement kan bereken word deur die formule:
i) = rac{P_{uit}}{P_{uit} + ext{verlies}} imes 100$$
Hier is die insette:
- $P_{uit} = 45000$ W
- Verlies = 500 W.
Substitusie gee:
i = rac{45000}{45000 + 500} imes 100 \
i = rac{45000}{45500} imes 100 \
i hickapprox 98.9\%$$
Step 3
4.7.3 Arbeidsfaktor van die transformator
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Answer
Die arbeidsfaktor (extCosheta) kan bereken word deur die formule:
ext{Cos} heta = rac{P}{S}
Waar:
P = 45000 W
S = 50000 VA
Substitusie gee:
ext{Cos} heta = rac{45000}{50000} = 0.9
Step 4
4.7.4 Stroom deur die las getrek
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Answer
Die stroom deur die las kan bereken word met die formule:
oot 3
olimits imes V_{2}} imes ext{Cos} heta}{}$$
Hier is die insette:
- S = $50000$ VA
- $V_{2} = 400$ V
- $ ext{Cos} heta = 0.9$
Substitusie gee:
$$I_{2} = rac{50000}{
oot 3
olimits imes 400 imes 0.9} \\ I_{2} hickapprox 72.17 ext{ A}$$