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Calculate the per-unit synchronous reactance on the base value of 200 MVA and 20 kV when a 100 MVA with 20 kV synchronous generator has 1pu synchronous reactance.
- a)2 pu
- b)4 pu
- c)6 pu
- d)8 pu
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Calculate the per-unit synchronous reactance on the base value of 200 ...
Concept:
The relation between new per-unit value & old per unit value impedance
Where,
Where,
(Zpu)new = New per unit value of impedance
(Zpu)old = Old per unit value of impedance
kVbase = Old base value of voltage
kVnew = New base value of voltage
MVAnew = New base value of power
MVAold = Old base value of power
Calculation:
Given that,
Xd(old) = 1 pu
MVA(new) = 200
MVA(old) = 100
kV(old) = 20
kV(new) = 20
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Community Answer
Calculate the per-unit synchronous reactance on the base value of 200 ...
Calculation of Per-Unit Synchronous Reactance:
- Given Base Values:
- S_base = 200 MVA
- V_base = 20 kV
- Given Generator Rating:
- S_gen = 100 MVA
- V_gen = 20 kV
- Xd = 1 pu
Step 1: Calculate the Base Current (I_base):
I_base = S_base / (sqrt(3) * V_base)
I_base = 200 MVA / (sqrt(3) * 20 kV) = 5.7735 kA
Step 2: Calculate the Base Impedance (Z_base):
Z_base = V_base^2 / S_base
Z_base = (20 kV)^2 / 200 MVA = 2 ohms
Step 3: Calculate the Actual Synchronous Reactance (X_d_actual):
X_d_actual = X_d * Z_base
X_d_actual = 1 pu * 2 ohms = 2 ohms
Step 4: Calculate the Per-Unit Synchronous Reactance (X_d_pu):
X_d_pu = X_d_actual / Z_base
X_d_pu = 2 ohms / 2 ohms = 1 pu
Therefore, the per-unit synchronous reactance on the base value of 200 MVA and 20 kV when a 100 MVA with 20 kV synchronous generator has 1 pu synchronous reactance is 2 pu. The correct answer is option 'A'.
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Calculate the per-unit synchronous reactance on the base value of 200 MVA and 20 kV when a 100 MVA with 20 kV synchronous generator has 1pu synchronous reactance.a)2 pub)4 puc)6 pud)8 puCorrect answer is option 'A'. Can you explain this answer?
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