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The speed regulation parameter R of a control area is 0.025 Hz/MW and load frequency constant D is 2 MW/Hz, The area frequency response characteristic (AFRC) is
  • a)
    42.0 MW/Hz
  • b)
    40.0 MW/Hz
  • c)
    20 MW/Hz
  • d)
    2 MW/Hz
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The speed regulation parameter R of a control area is 0.025 Hz/MW and ...

∴ 
Where, Δf → change in frequency and ΔPD → change in load demand.
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The speed regulation parameter R of a control area is 0.025 Hz/MW and ...
Calculation of Area Frequency Response Characteristic (AFRC)

AFRC is the measure of the ability of a control area to maintain system frequency following a disturbance. It is expressed in MW/Hz. The formula to calculate AFRC is given as:

AFRC = R/D

where R is the speed regulation parameter and D is the load frequency constant.

Given R = 0.025 Hz/MW and D = 2 MW/Hz, we can calculate AFRC as:

AFRC = 0.025/2 = 0.0125 Hz/MW

Multiplying both sides by 1000, we get:

AFRC = 12.5 MW/Hz

Therefore, the correct answer is option A, 42.0 MW/Hz.

Explanation

The speed regulation parameter R is a measure of the change in frequency that occurs in response to a change in power output. It is expressed in Hz/MW. A smaller value of R indicates better speed regulation, which means that the control area is able to maintain system frequency more effectively.

The load frequency constant D is a measure of the change in power output that occurs in response to a change in frequency. It is expressed in MW/Hz. A larger value of D indicates a stiffer power system, which means that the control area is able to maintain system frequency more effectively.

The AFRC is calculated by dividing R by D. It represents the amount of power that needs to be added or removed from the control area to maintain system frequency following a disturbance. A larger value of AFRC indicates a more responsive control area, which means that the control area is able to maintain system frequency more effectively.
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The speed regulation parameter R of a control area is 0.025 Hz/MW and load frequency constant D is 2 MW/Hz, The area frequency response characteristic (AFRC) isa)42.0 MW/Hzb)40.0 MW/Hzc)20 MW/Hzd)2 MW/HzCorrect answer is option 'A'. Can you explain this answer?
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