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A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will be
- a)5.33 Ω
- b)6.29 Ω
- c)3.57 Ω
- d)7.25 Ω
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The bas...
Understanding Base Impedance
In electrical engineering, base impedance is a reference value used in per-unit system calculations, which simplifies the analysis of power systems. It is calculated using the rated power (S) and rated voltage (V) of the generator.
Formula for Base Impedance
The base impedance (Z_base) can be calculated using the formula:
\[
Z_{base} = \frac{V_{base}^2}{S_{base}}
\]
Where:
- \( V_{base} \) is the base voltage in volts (V)
- \( S_{base} \) is the base power in volt-amperes (VA)
Given Values
For the synchronous generator:
- Rated Power \( S = 40 \, \text{MVA} = 40 \times 10^6 \, \text{VA} \)
- Rated Voltage \( V = 14.6 \, \text{kV} = 14.6 \times 10^3 \, \text{V} \)
Calculation Steps
1. **Convert base voltage to volts**:
\( V_{base} = 14.6 \times 10^3 \, \text{V} = 14600 \, \text{V} \)
2. **Calculate base impedance**:
\[
Z_{base} = \frac{(14600)^2}{40 \times 10^6}
\]
3. **Perform the calculation**:
- \( (14600)^2 = 213160000 \)
- \( Z_{base} = \frac{213160000}{40000000} = 5.33 \, \Omega \)
Conclusion
Thus, the base impedance of the synchronous generator is \( 5.33 \, \Omega \), confirming that the correct answer is option 'A'.
In electrical engineering, base impedance is a reference value used in per-unit system calculations, which simplifies the analysis of power systems. It is calculated using the rated power (S) and rated voltage (V) of the generator.
Formula for Base Impedance
The base impedance (Z_base) can be calculated using the formula:
\[
Z_{base} = \frac{V_{base}^2}{S_{base}}
\]
Where:
- \( V_{base} \) is the base voltage in volts (V)
- \( S_{base} \) is the base power in volt-amperes (VA)
Given Values
For the synchronous generator:
- Rated Power \( S = 40 \, \text{MVA} = 40 \times 10^6 \, \text{VA} \)
- Rated Voltage \( V = 14.6 \, \text{kV} = 14.6 \times 10^3 \, \text{V} \)
Calculation Steps
1. **Convert base voltage to volts**:
\( V_{base} = 14.6 \times 10^3 \, \text{V} = 14600 \, \text{V} \)
2. **Calculate base impedance**:
\[
Z_{base} = \frac{(14600)^2}{40 \times 10^6}
\]
3. **Perform the calculation**:
- \( (14600)^2 = 213160000 \)
- \( Z_{base} = \frac{213160000}{40000000} = 5.33 \, \Omega \)
Conclusion
Thus, the base impedance of the synchronous generator is \( 5.33 \, \Omega \), confirming that the correct answer is option 'A'.
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Community Answer
A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The bas...
Formula:
For an AC network,
VA Rating = V2/Z
Where V is voltage in volt
Z is the impedance (base) in Ω
Application:
VA rating = 40 MVA = 40 × 106 VA
V = 14.6× 103 volts
From above formula,
Alternate Method:
Since,
Alternate Method:
Since,
(kilo)2 = Mega
Therefore the formula for base impedance is also written as,
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Question Description
A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer?.
A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous generator is rated at 40 MVA, 14.6 kV and 50 Hz. The base impedance of the generator will bea)5.33 Ωb)6.29 Ωc)3.57 Ωd)7.25 ΩCorrect answer is option 'A'. Can you explain this answer?.
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