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A 500 MVA, 11KV synchronous generator has 0.2 p.u. synchronous reactance. The p.u. synchronous reactance on the base values of 100 MVA and 22 KV is
- a)0.16
- b)0.01
- c)4.0
- d)0.25
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A 500 MVA, 11KV synchronous generator has 0.2 p.u. synchronous reactan...
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) = 0.2 pu
MVA(new) = 100
MVA(old) = 500
KV(old) = 11
KV(new) = 22
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Community Answer
A 500 MVA, 11KV synchronous generator has 0.2 p.u. synchronous reactan...
To find the p.u. synchronous reactance on the base values of 100 MVA and 22 KV, we can use the concept of per unit calculations.
Given data:
Generator rating = 500 MVA
Generator voltage = 11 KV
Synchronous reactance = 0.2 p.u.
We know that the base values for per unit calculations are defined as:
Base power (Sbase) = 100 MVA
Base voltage (Vbase) = 22 KV
To calculate the p.u. synchronous reactance, we need to convert the given synchronous reactance into per unit values using the base values.
Step 1: Convert the generator rating to per unit using the base power:
Generator rating in p.u. = Generator rating / Base power = 500 MVA / 100 MVA = 5 p.u.
Step 2: Convert the generator voltage to per unit using the base voltage:
Generator voltage in p.u. = Generator voltage / Base voltage = 11 KV / 22 KV = 0.5 p.u.
Step 3: Calculate the p.u. synchronous reactance:
P.u. synchronous reactance = Synchronous reactance / (Generator rating in p.u. * Generator voltage in p.u.)
= 0.2 p.u. / (5 p.u. * 0.5 p.u.)
= 0.2 p.u. / 2.5 p.u.
= 0.08 p.u.
So, the p.u. synchronous reactance on the base values of 100 MVA and 22 KV is 0.08 p.u.
However, the correct answer given is option 'B', which states the p.u. synchronous reactance is 0.01. This implies that there might be an error in the question or the answer options provided. Please double-check the question and the answer options before concluding the correct answer.
Given data:
Generator rating = 500 MVA
Generator voltage = 11 KV
Synchronous reactance = 0.2 p.u.
We know that the base values for per unit calculations are defined as:
Base power (Sbase) = 100 MVA
Base voltage (Vbase) = 22 KV
To calculate the p.u. synchronous reactance, we need to convert the given synchronous reactance into per unit values using the base values.
Step 1: Convert the generator rating to per unit using the base power:
Generator rating in p.u. = Generator rating / Base power = 500 MVA / 100 MVA = 5 p.u.
Step 2: Convert the generator voltage to per unit using the base voltage:
Generator voltage in p.u. = Generator voltage / Base voltage = 11 KV / 22 KV = 0.5 p.u.
Step 3: Calculate the p.u. synchronous reactance:
P.u. synchronous reactance = Synchronous reactance / (Generator rating in p.u. * Generator voltage in p.u.)
= 0.2 p.u. / (5 p.u. * 0.5 p.u.)
= 0.2 p.u. / 2.5 p.u.
= 0.08 p.u.
So, the p.u. synchronous reactance on the base values of 100 MVA and 22 KV is 0.08 p.u.
However, the correct answer given is option 'B', which states the p.u. synchronous reactance is 0.01. This implies that there might be an error in the question or the answer options provided. Please double-check the question and the answer options before concluding the correct answer.
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A 500 MVA, 11KV synchronous generator has 0.2 p.u. synchronous reactance. The p.u. synchronous reactance on the base values of 100 MVA and 22 KV isa)0.16b)0.01c)4.0d)0.25Correct answer is option 'B'. Can you explain this answer?
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