Q3. (a) A power generating plant consists of two multiple-valve generating units whose fuel cost functions (F1 and F2) expressed in £/hour are given as: F, = 0.035P? + 22P, + 10 F2 = 0.045P? + 14P2 + 5 where P, and P, are the output powers in MW of the two units, respectively. The two generating units are running with minimum and maximum possible loading for each one of 50MW and 250 MW. The total load is 160MW.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Q3.
(a) A power generating plant consists of two multiple-valve generating units whose
fuel cost functions (F1 and F2) expressed in £/hour are given as:
F = 0.035P? + 22P, + 10
F2 = 0.045P + 14P2 + 5
where P, and P, are the output powers in MW of the two units, respectively. The
two generating units are running with minimum and maximum possible loading
for each one of 50MW and 250 MW. The total load is 160MW.
(i)
For minimum fuel costs, calculate the load sharing between the units, and
the incremental fuel cost of the plant.
(ii)
Calculate the total hourly cost of this despatch.
(b) A 3-phase star-connected, balanced load is fed from an 11kV 50HZ supply. The
load impedance per phase consists of a 200 resistor in series with a 60mH
inductor. How many percentage will the frequency change if the power load is
reduced by 2%? What is the frequency in this case?
(c) Explain the principle of the 3-zone directional distance protection. What type of
distance replay can be used for 3-zone directional distance protection?
Transcribed Image Text:Q3. (a) A power generating plant consists of two multiple-valve generating units whose fuel cost functions (F1 and F2) expressed in £/hour are given as: F = 0.035P? + 22P, + 10 F2 = 0.045P + 14P2 + 5 where P, and P, are the output powers in MW of the two units, respectively. The two generating units are running with minimum and maximum possible loading for each one of 50MW and 250 MW. The total load is 160MW. (i) For minimum fuel costs, calculate the load sharing between the units, and the incremental fuel cost of the plant. (ii) Calculate the total hourly cost of this despatch. (b) A 3-phase star-connected, balanced load is fed from an 11kV 50HZ supply. The load impedance per phase consists of a 200 resistor in series with a 60mH inductor. How many percentage will the frequency change if the power load is reduced by 2%? What is the frequency in this case? (c) Explain the principle of the 3-zone directional distance protection. What type of distance replay can be used for 3-zone directional distance protection?
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