orduria Generation owns three generating units that have the following cost functions: Unit A: 15 + 1.4 PA + 0.04 P2 A $/h Unit B: 25 + 1.6 PB + 0.05 P2 B $/h Unit C: 20 + 1.8 PC + 0.02 P2 C $/h How should these units be dispatched if Borduria Generation must supply a load of 350 MW at minimum cost

orduria Generation owns three generating units that have the following cost functions: Unit A: 15 + 1.4 PA + 0.04 P2 A $/h Unit B: 25 + 1.6 PB + 0.05 P2 B $/h Unit C: 20 + 1.8 PC + 0.02 P2 C $/h How should these units be dispatched if Borduria Generation must supply a load of 350 MW at minimum cost

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 2.32MCQ: While the instantaneous electric power delivered by a single-phase generator under balanced...

See similar textbooks

Related questions

Q: A power station has to meet the following demand : Group A : 200 kW between 8 A.M. and 6 P.M. Group…

A: The solution can be achieved as follows.

Q: Equipment ratings and per-unit reactances for the system shown in the below figure are given as…

Q: Q13. The ratings of the generators, motors, and transformers of Fig.5. are -भी-ण 20n Fig-5. 20 MVA,…

Q: A 3-phase, 420 V, 60 Hz, Y-connected synchronous generator, with a synchronous reactance of 1.20 Ohm…

A: As we have given: VL=420 Vf=60 HzXs=1.2 ΩZs=j1.2 Ωδ=30°Pout=110 kW Step 1: Find E As we know that,…

Q: A generating station supplies the following loads: 15000 kW, 12000 kW, 8500 kW, 6000 kW and 450 kW.…

A: Total loads are 15000 kW, 12000 kW, 8500 kW, 6000 kW and 450 kW.

Q: A proposed station has the following daily load cycle: Time in hours 6–8 8–11 11–16 16–19 19–22…

Q: Determine, for the lamps (incandescent and fluorescent) and motor, (a) the total current, (b) the…

Q: Three generating units within a power plant are synchronized and supplying power to the main grid.…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Table Qza Time (hours) 0-6 6-12 12-14 14-18 18-24 Load (MW) 45 135 90 150 75 Referring to the Table…

A: Dear student as per our guidelines we are supposed to solve only one question in which it should…

Q: A generating station supplied the following loads: 150 MW, 120 MW, 85 MW, 60 MW, and 5 MW. The…

A: Load factor is the how much energy used in a certain time period and the load factor is always less…

Q: Assume the load on the substation bus drops to 240 kW and 600 magnetizing kVAR. Also assume the…

Q: A generating station has a maximum demand of 10 MW. Calculate the cost per unit generated from the…

Q: phase. The voltage of power station A is advanced with an angle of 10.5 degrees with respect to the…

Q: Problem 3 Consider the following system. TO T. j0.05 fmy(G j0.05 M) Δ YA The generator and motor are…

A: In this question we need to draw a positive sequence, negative sequence and zero sequence equivalent…

Q: A generating station has a maximum demand of 25MW, a load factor of 60%, a plant capacity factor of…

Q: Calculate (i) the number of units supplied annually (ii) the diversity factor and (iii) the demand…

A: Given, A generating station has the following loads : 15000 KW ,12000 KW, 8500 KW, 6000 KW and 450…

Q: 10. Naghsh-Jahan Generation owns three generating units that have the following cost functions: Unit…

A: The generation cost is minimum when the incremental fuel cost of all the units are equal i.e.…

Q: generating station supplies the following loads: 15000 kW, 12000 kW, 8500 kW, 6000 kW and 450 kW.…

Q: First Quiz A generating station has a maximum demand of 10 MW. Calculate the cost per unit generated…

A: The solution for the given plant's cost per unit can be achieved as follows.

Q: 7. A power station has to meet the following load demand 50 KW 30 kW 20 kW between 10 A.M. and 6PM.…

A: Load A 50KW 10AM to 6PM Load B 30KW 6PM to 10PM Load C 20KW 4PM to 10AM Draw load curve, diversity…

Q: Mall of Alnor located at Cotabato City has three main buildings namely Alnor Complex, Annex and…

Q: 2. Generating station at Musandam has the following load cycle. (Refer the data sheet below).…

Q: For the system shown in figure, voltages V2. V3 and angles 82 83 are calculated using Newton-Raphson…

A: The given system diagram is shown below,…

Q: A generating station has a maximum demand of 10 MW. Calculate the cost per unit generated from the…

Q: A generating station supplied the following loads: 150 MW, 120 MW, 85 MW, 60 MW, and 5 MW. The…

Q: (II) If 35 MW of power at 45 kV (rms) arrives at a town froma generator via 4.6Ω transmission…

Q: Question: A generating station supplies the following loads: 130 MW, 120 MW, 80 MW, 60 MW and 5 MW.…

A: Annual load factor =Total MW hr through the yearPeak load in MW ×8760 hrs Diversity factor =Sum of…

Q: A generating station has two 50 Mw units each running for 8,500 hours in a year and one 30 Mw unit…

Q: A Single Area consists of 3 generating units (G1/G2/G3) with the following characteristics: G1: 425…

Q: average power factor of 0.6 lagging. Neglecting all losses; Calculate: a) the KVA input to a…

Q: A generating station has a maximum demand of 55MW, a load factor of 63 %, a plant capacity factor of…

A: In this question load factor , use factor, capacity factor ,maximum demand given....We have to find…

Q: A power station has to meet the following load demand: LOAD A 50kW Between 10 AM and 6 PM LOAD B…

A: The solution can be achieved as follows.

Q: 2. Generating station at Musandam has the following load cycle. (Refer the data sheet below).…

A: In this question, We need to determine the maximum load, Unit generated by per day We know 1kWH=…

Q: QUA power plant has to meet the following load demand: Load A: 100 MW from 8 AM - 6 PM Load B: 150…

Q: A generating station has a maximum demand of 10 MW. Calculate the cost per unit generated from the…

A: The cost per unit can be calculated as follows.

Q: Which of the following statements about next-generation wind energy is correct? a. They will have a…

Q: Q2) A generating station has a maximum demand of 30 MW, a loac and plant use factor of 0.8.…

A: According to question:

Q: . A generating station has a connected load of 40 MW and a maximum demand of 20 MW : the units…

Q: Q19. A 3-phase, 440 V, 50 Hz, Y-connected synchronous generator, with a synchronous reactance of…

Q: Power system planning can be done only after conducting a. Power flow analysis b. Economi dispatch…

A: We need to answer that power system planning can be done only after conducting a. Power flow…

Q: Two generating units are online and have the following characteristics: U;(Gas Fired) F1($/day) =…

A: Given Two generating units with characteristicsU1(gas fired) F1($/day)=200+20P1+0.006P12 100…

Q: The yearly load duration curve of a certain power station can be approximated as a straight line ;…

Q: Consider Y-Y connected Ac generator with numbers of turn per phase of 150 turns. find the tax per…

A: In this question, We need to choose the correct options What is flux to induced line voltage= 850V…

Q: 6. A generating station has the following daily load cycle : Time (hours) 0-6 6-10 10-12 12-16 16-20…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A11 kV,15 km length primary feeder connected to a balanced load of 950 kW at a power factor of 0.85…

A: We assumed three phase feeder as nothingI is mentioned about single phase or three phase. given…

Q: A 3-phase overhead transmission line is being supported by three disc insulators. The potentials…

A: Given:-potential across top unit =9kv=v1potential across middle unit=11kv=v2& there are 3 disc…

Q: The estimated short circuit MVA at the bus bars of a generating station A is 1500 MVA and of…

Q: B) A generating station supplied the following loads: 150 MW, 120 MW, 85 MW, 60 MW, and 5 MW. The…

Q: A generating station has a maximum demand of 10 MW. Calculate the cost per unit generated from the…

A: The solution can be achieved as follows.

Question

Borduria Generation owns three generating units that have the following cost functions:

Unit A: 15 + 1.4 PA + 0.04 P2 A $/h

Unit B: 25 + 1.6 PB + 0.05 P2 B $/h

Unit C: 20 + 1.8 PC + 0.02 P2 C $/h

How should these units be dispatched if Borduria Generation must supply a load of 350 MW at minimum cost?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Analysis of Multiple Order System and Steady State Error

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

With generator conyention, where the current leaves the positive terminal of the circuit element, if P is positive then positive real power is delivered. (a) False (b) True
A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)
Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in Figure 2.27. (a) Obtain expressions for P12 and Q12. (b) Determine the maximum power transfer and the condition for it to
Figure 3.32 shows the oneline diagram of a three-phase power system. By selecting a common base of 100 MVA and 22 kV on the generator side, draw an impedance diagram showing all impedances including the load impedance in per-unit. The data are given a follows: G:90MVA22kVx=0.18perunitT1:50MVA22/220kVx=0.10perunitT2:40MVA220/11kVx=0.06perunitT3:40MVA22/110kVx=0.064perunitT4:40MVA110/11kVx=0.08perunitM:66.5MVA10.45kVx=0.185perunit Lines I and 2 have series reactances of 48.4 and 65.43, respectively. At bus 4, the three-phase load absorbs 57 MVA at 10.45 kV and 0.6 power factor lagging.
The yearly load duration curve of a certain power station can be approximated as a straight line; the maximum and minimum loads being 40 MW and 10 MW respectively. To meet this load, three turbine generator units, two rated at 20 MW each and one at 10 MW are installed. Draw the load duration curve and determine: (i) Installed capacity (ii) Plant capacity factor (iii) kWh output per year (iv) Load factor.
B) A generating station supplied the following loads: 150 MW, 120 MW, 85 MW, 60 MW, and 5 MW. The station has a maximum demand of 220 MW. The annual load factor of the station is 48%. Calculate: (i) The number of units supplied annually, (ii) Diversity factor, and (iii) Demand factor.
Which Reliability index represents the projected value of time in a long run in which load in the system is expected to bemore than the available generating capacity? a. LOEP b. LOLP C Loss of Load d. EENS
A generating station has a maximum demand of 25,000 kW. Calculate the cost per unit generatedfrom the following data: Capital cost = P 120M; Annual load factor = 45%; Annual cost of fuel and oil = P6.5M ; Taxes, wagesand salaries etc. = P6M and Interest and depreciation = 13%
The annual load duration curve of a power supply system may be considered as straight line from 40 MW to 8 MW. The load factor of the system is ?
The yearly duration curve of a certain plant can be considered as a straight line from 300 MW to 80 MW. Power is supplied with one generating unit of 200 MW capacity and two units of 100 MW capacities each. Determine: Installed Capacity, Load Factor, Plant Factor, Maximum Demand and Utilization Factor.
(II) If 35 MW of power at 45 kV (rms) arrives at a town froma generator via 4.6Ω transmission lines, calculate (a) theemf at the generator end of the lines, and (b) the fractionof the power generated that is wasted in the lines.
The yearly load duration curve of a certain power station can be approximated as a straight line ; the maximum and minimum loads being 80 MW and 40 MW respectively. To meet this load, three turbine generator units, two rated at 20 MW each and one at 10 MW are installed. Determine (i) installed capacity (ii) plant factor (iii) kWh output per year (iv) load factor.