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 %3D 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. (1) (i) For minimum fuel costs, calculate the load sharing between the units, and the incremental fuel cost of the plant. Calculate the total hourly cost of this despatch.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...
icon
Related questions
Question
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 = 0.045P3 + 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.
For minimum fuel costs, calculate the load sharing between the units, and
the incremental fuel cost of the plant.
(1)
(ii)
Calculate the total hourly cost of this despatch.
Transcribed Image Text: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 = 0.045P3 + 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. For minimum fuel costs, calculate the load sharing between the units, and the incremental fuel cost of the plant. (1) (ii) Calculate the total hourly cost of this despatch.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Operational amplifier
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning