📘 Power Systems – Question Bank (Page 2)
🔹 Section A: Conceptual Questions (Per Unit System)
Q1. Define per unit value.Per unit value = Actual value / Base value.
Q2. Why is per unit system preferred in power system analysis?It simplifies calculations and eliminates transformer turns ratio in multi-voltage systems.
Q3. What are the four base quantities?- Base Power (Sbase)
- Base Voltage (Vbase)
- Base Current (Ibase)
- Base Impedance (Zbase)
Per-unit impedance changes proportionally with base MVA.
🔹 Section B: MCQs
Q5. Base impedance is given by:A) Vbase × Ibase
B) Vbase² / Sbase
C) Sbase / Vbase²
D) Ibase² × R
Answer: B) Vbase² / Sbase
Q6. If actual impedance = 10 Ω and base impedance = 20 Ω, per unit value is:A) 0.2
B) 0.5
C) 2
D) 200
Answer: B) 0.5
Q7. Per unit system removes:A) Voltage
B) Current
C) Transformer ratio
D) Resistance
Answer: C) Transformer ratio
🔹 Section C: Numerical Problems
Q8. Find base impedance if Sbase = 100 MVA and Vbase = 132 kV.Zbase = V² / S = (132 × 10³)² / (100 × 10⁶) = 17424 × 10⁶ / 100 × 10⁶ = 174.24 Ω
Q9. Convert 25 Ω impedance into per unit on 100 MVA, 132 kV base.
Zpu = Zactual / Zbase = 25 / 174.24 = 0.1435 pu
Q10. A transformer has reactance 10% on its own base. Convert to 200 MVA base if original base is 100 MVA.
Znew = Zold × (Snew / Sold) = 0.1 × (200 / 100) = 0.2 pu
Q11. Base current if Sbase = 50 MVA and Vbase = 11 kV.
Ibase = S / (√3 × V) = 50 × 10⁶ / (1.732 × 11000) = 2624 A (approx)
Q12. Generator reactance = 0.2 pu on 100 MVA base. Find actual impedance if base voltage = 11 kV.
Zbase = V² / S = (11000)² / (100 × 10⁶) = 1.21 Ω Zactual = 0.2 × 1.21 = 0.242 Ω
Page 2 Completed – Per Unit System (Concept + MCQ + Numerical)
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