A turbine – generator set a regulation constant of 6% on the generator rating of 120 MVA, 50 Hz. The generator frequency decreases by 0.01 Hz. The increase in turbine output for steady state operation is:
Answer
0.8 MW
0.4 MW
0.2 MW
40 MW
Answers
Explanation:
A turbine – generator set a regulation constant of 6% on the generator rating of 120 MVA, 50 Hz. The generator frequency decreases by 0.01 Hz. The increase in turbine output for steady state operation is: Answer. 0.8 MW.
Answer:
The increase in turbine output for steady-state operation is approximately -3.33 MW or -3330 kW.
Explanation:
The regulation constant of a turbine-generator set is 6% based on the generator rating of 120 MVA and 50 Hz.
If the generator frequency decreases by 0.01 Hz, the increase in turbine output for steady-state operation can be calculated using the formula Δp_mp.u = -Δf_p.u / R, where Δf_p.u is the steady-state frequency deviation in per unit and R is the regulation constant.
To calculate Δf_p.u, we need to convert the given frequency deviation into per unit.
The steady-state frequency deviation (∆ f) for an Area Control system can be calculated using the formula
∆ f = (ΔP x Rated power) / (% Change in frequency x Rated frequency) in MW/Hz[4].
Here, ΔP is the change in power output, which we need to calculate using the given information.
Since R = 6%, we can convert it into per unit as R = 0.06 p.u. Using these values, we get:
Δf_p.u = (0.01/50) = 2 x 10^-4 p.u.
Now we can calculate Δp_mp.u:
Δp_mp.u = -Δf_p.u / R
= -(2 x 10^-4) / 0.06
≈ -3.33 x 10^-3 p.u.
Therefore, the increase in turbine output for steady-state operation is approximately -3.33 MW or -3330 kW[3].
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