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The operating characteristic of a distance relay in the R-X plane is shown in the figure below, It represents operating characteristic of a
- a)reactance relay
- b)directional impedance relay
- c)impedance relay
- d)mho relay
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The operating characteristic of a distance relay in the R-X plane is s...
For maximum power transfer, X=√3 R
3=√3 R
R=√3.
3=√3 R
R=√3.
Most Upvoted Answer
The operating characteristic of a distance relay in the R-X plane is s...
First of all Consider the universal Torque equation of mho relay...then draw it on paper (there will be sinuosoidal term)
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The operating characteristic of a distance relay in the R-X plane is s...
Understanding Maximum Power Transfer
To achieve maximum power transfer in a power system, the load impedance must be matched to the source impedance. This concept is fundamental in power system engineering.
Given Parameters
- Source voltage: Vs∠δ
- Receiving end voltage: Vr∠0
- Transmission line impedance: Z = R + j5
Condition for Maximum Power Transfer
For maximum power transfer, the real part of the load impedance (R) should equal the imaginary part of the transmission line's impedance. In this case, the imaginary part is given as 5 (from j5). Therefore, to maximize power transfer, we set:
R = |Reactance|
Calculating the Required Resistance
Given that the reactance (X) is 5, the resistance R should equal the magnitude of the reactance when the load is purely resistive. Thus:
R = 5 (from j5)
However, we find that to achieve a balance and maximize the power transfer, we need to consider the concept of complex power, where the resistance is equal to √3 times the reactance for optimal conditions.
Therefore, R = √3 * 5 = 1.732.
Conclusion
The most suitable value of resistance R for maximum power transfer is:
Answer: 1.732 (Option A).
This value ensures that both the real and imaginary components of the power system are optimally balanced, facilitating efficient energy transfer from the source to the load.
To achieve maximum power transfer in a power system, the load impedance must be matched to the source impedance. This concept is fundamental in power system engineering.
Given Parameters
- Source voltage: Vs∠δ
- Receiving end voltage: Vr∠0
- Transmission line impedance: Z = R + j5
Condition for Maximum Power Transfer
For maximum power transfer, the real part of the load impedance (R) should equal the imaginary part of the transmission line's impedance. In this case, the imaginary part is given as 5 (from j5). Therefore, to maximize power transfer, we set:
R = |Reactance|
Calculating the Required Resistance
Given that the reactance (X) is 5, the resistance R should equal the magnitude of the reactance when the load is purely resistive. Thus:
R = 5 (from j5)
However, we find that to achieve a balance and maximize the power transfer, we need to consider the concept of complex power, where the resistance is equal to √3 times the reactance for optimal conditions.
Therefore, R = √3 * 5 = 1.732.
Conclusion
The most suitable value of resistance R for maximum power transfer is:
Answer: 1.732 (Option A).
This value ensures that both the real and imaginary components of the power system are optimally balanced, facilitating efficient energy transfer from the source to the load.
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