(a) A power generating plant consists of two multiple-valve generating units whosefuel cost functions (F1 and F2) expressed in £/hour are given as:F, = 0.035P? + 22P, + 10F2 = 0.045P? + 14P, + 15where P1 and P2 are the output powers in MW of the two units, respectively. Thetwo generating units are running with minimum and maximum possible loadingfor each one of 120MW and 300 MW. For minimum fuel costs, calculate theload sharing between the units, the incremental fuel cost of the plant, and thetotal hourly cost of this despatch if the total load is 60OMW.

Answered: Image /qna-images/answer/e6d161b1-b06e-41e0-b3df-4e0eb6e9bbcf.jpg

(a) A power generating plant consists of two multiple-valve generating units who fuel cost functions (F1 and F2) expressed in £/hour are given as: F, = 0.035P? + 22P, + 10 F2 = 0.045P + 14P2 + 15 where P, and P2 are the output powers in MW of the two units, respectively. T two generating units are running with minimum and maximum possible loadi for each one of 120MW and 300 MW. For minimum fuel costs, calculate t load sharing between the units, the incremental fuel cost of the plant, and t total hourly cost of this despatch if the total load is 600MW.

(a) A power generating plant consists of two multiple-valve generating units who fuel cost functions (F1 and F2) expressed in £/hour are given as: F, = 0.035P? + 22P, + 10 F2 = 0.045P + 14P2 + 15 where P, and P2 are the output powers in MW of the two units, respectively. T two generating units are running with minimum and maximum possible loadi for each one of 120MW and 300 MW. For minimum fuel costs, calculate t load sharing between the units, the incremental fuel cost of the plant, and t total hourly cost of this despatch if the total load is 600MW.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

he node (busbar) and branch (line) data of a power system are provided in Table Q1.1 and Table Q1.2 respectively. All values in the tables are stated in per unit (p.u.). Using node 1 (busbar 1) as the reference (slack bus), calculate the line flows using the DC power flow method.
5. Two 50 MVA, 3-phase alternators operate in parallel. The settings of governors are such that the rise in speed from full-load to no-load is 2 % in one machine and 3 % in the other; the characteristics being straight lines in both cases. If each machine is fully loaded when the total load is 100 MW, what would be the load on each machine when the total load is 60 MW ? [26 MW; 34 MW]
Question 4 (Mapped to ILO1) A power generating plant consists of two turbo-alternator units whose fuel cost functions (F1 and F2) are expressed in £/hour as: F1= 0.04P12+ 16 P1+ 500 F2 = 0.045P22 + 12P2 + 400 where P1 and P2 are the output power in MW of units 1 and 2, respectively. The two generating units are running continuously to meet a total plant load of 200 MW. For economic load dispatch, find the incremental fuel cost of the plant à in £/MWh and the required output of each unit.
The incremental cost of generator 1 is Ic1 = 0.2P₁ + 60 and generator 2 is Ic2 = 0.3P₂ + 40 and the ratings of the generators are 150 MW and 250 MW. a) Find the load sharing of generator 1 for a load of 380 MW. MW (Calculate to 2 decimal places) b) Find the load sharing of generator 2 for a load of 380 MW. MW (Calculate to 2 decimal places)
Problem 2 Two shunt generators A and B operate in parallel and their load characteristics maybe taken as straight lines. The voltage falls from 240V at no load to 200V at200A, while that of B falls from 245V at no load to 220V at 150A. Determine the bus bar voltage when supplying 66.9KW load. How is the load divided between two generators?
3a
Q31 Generator cost rate functions in $/hr for a three-unit system are given as follows: Fl=0.004(P1) +5.3(P1)+500, F2=0.006(P2)² + 5.5(P2) + 400, and F3-0.009(P3)°+ 5.8(P3)+ 200 These three generators must supply a total demand of 975 MW. (1) Conpute 2. (i) Determine the total cost rate.
$ C₁ = [0.05P² + 20P₂ + 30] hr C₂ = [0.056P2 + 15P₂ + 40] hr Here P₁ and P₂ are in MW. Each generated is rated for 210 MW and load is 400 MW. Determine (i) the values of P₁ and P₂ when the load sharing is most economic and (ii) increase in operation cost for generator 1 when load is shared equally.
A resistance of 8 Ohms is used to ground a 30-MVA, 11 kV alternator. Its relay is set to operate when a 2.2 A out of balance current occurs. The CTs have a ratio of 1000/6. If we consider the reactance of the alternator to be negligible, how much percentage of the stator winding is protected against earth faults? To make this 95%, what is the minimum value of earthing resistance to be used?
I need answer within 20 minutes please please with my best wishes