An area of an interconnected power system has two fossil-fuel units operating on eco- nomic dispatch. The variable operating costs of these units are given by for 0 < P < 100 MW for P₁ > 100 MW C₁ = 4P₁ +0.02P S 8P₁ C₂ = 0.03Pr where P, and P₂ are in megawatts. Determine the power output of each unit, the in- cremental operating cost, and the total cost CT that minimizes Cy as the load demand Pr varies from 200 to 700 MW. Generating-unit inequalities and transmission losses are neglected. 4

An area of an interconnected power system has two fossil-fuel units operating on eco- nomic dispatch. The variable operating costs of these units are given by for 0 < P < 100 MW for P₁ > 100 MW C₁ = 4P₁ +0.02P S 8P₁ C₂ = 0.03Pr where P, and P₂ are in megawatts. Determine the power output of each unit, the in- cremental operating cost, and the total cost CT that minimizes Cy as the load demand Pr varies from 200 to 700 MW. Generating-unit inequalities and transmission losses are neglected. 4

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...

See similar textbooks

Related questions

Q: explain the operating principle of single phase 2S-2P PMSM based on 3D design illustration.

A: According to the question, explain the operating principle of single-phase 2S-2P PMSM based on 3D…

Q: Consider a 3-phase, 50 HZ, 11 KV distribution system. Each of conductors is suspended by an…

A: The operating line voltage is given as 11kV then the phase voltage:

Q: OR e) What is BILS? Explain their significance in power system studies.

A: BILS : BIL is stand for basic level insulation which is also known as lighting impulse voltage or…

Q: Discuss the concept of load shedding in power systems. Under what circumstances is load shedding…

A: Load shedding is a controlled and deliberate process of reducing the electricity supply to certain…

Q: Kindly explain the methods of reactive power compensation in power systems.

A: The methods for reactive power compensation are nothing but the methods by which poor power factors…

Q: Q5 A single area consists of two generating units, rated at 400 MVA and 800 MVA, with speed…

Q: A generating station has a maximum demand of 25MW, a load factor of 65%, a plant capacity factor of…

A: In this question we will find reserve capacity , daily energy produced...

Q: Explain the role of renewable energy sources, such as solar and wind, in modern power systems. How…

A: Renewable energy sources, particularly solar and wind, play a crucial and increasingly significant…

Q: A generator operating at 50 Hz delivers 1 p.u. power to an infinite bus through a transmission…

A: Given- frequency f=50 Hz, 1 p.u. power, Maximum power = 0.5 p.u. To Find- The value of δmax.

Q: Load on a small power station is as under. Draw the load curve and calculate 1. Maximum demand sve…

A: We have been given an load on a power station we have been asked to Draw load curve of this power…

Q: a question by considering the annual load time curve for an electric station as a straight line from…

A: Total Capacity = sum of individual maximum capacity Capacitance coefficient is the ratio of maximum…

Q: Q1. The yearly load duration curve of a certain power station can be approximated as a straight…

A: Given 2 generators of 20 MW 1 generators of 10 MWMaximum load=80 MWMinimum load=40 MW

Q: Discuss the concept of smart grids and their potential benefits in modern power systems.

A: Here we need to explain and discuss the concept of smart grids and their potential…

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

A: Given data,Maximum load=40MWMinimum load=10MW iThree turbine generator units, two rated at 20MW…

Q: Explain the concept of load flow analysis in power systems. How does it help in determining the…

A: Load flow analysis, also known as power flow analysis, is a fundamental and crucial tool in power…

Concept explainers

Distribution System

The final stage in the delivery of the electric power is the electric power distribution system. From the transmission system to the individual customers it carries electricity. The distribution system is connected with the transmission system and is used to lower the voltage of the transmission to medium voltage in the range of 2 kV to 35 kV with the help of transformers. This medium voltage to the distribution transformers located near the customer's premises is carried by the primary distribution system lines. These distribution transformers in turn lower the voltage to utilization voltage used in lightings, household appliances, industrial equipments etc. Through secondary distribution lines often several customers are supplied from one transformer. It is through service drops, the commercial and residential customers are connected to the secondary distribution system lines. Customers who demand a larger amount of power can be connected directly to the primary distribution system level or the sub-transmission level.

Question

11.19 An area of an interconnected power system has two fossil-fuel units operating on eco-
nomic dispatch. The variable operating costs of these units are given by
4P, +0.02P; for 0 < P, < 100 MW
C =
8P
for P, > 100 MW
hr
C2= 0.03P
hr
where P, and P2 are in megawatts. Determine the power output of each unit, the in-
cremental operating cost, and the total cost CT that minimizes CT as the load demand
PT varies from 200 to 700 MW. Generating-unit inequalities and transmission losses
are neglected.
11.20 Rework Problem 11.19 if the units are subject to the following inequality constraints:
100 < P, < 500 MW
50 < P; < 300 MW

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

2. a) Explain the terms load factor and diversity factor. b) Discuss the advantages of interconnected grid system. c) A generating station is to supply four regions of load whose peak loads are 10 MW, 5 MW, 8 MW and 7 MW. The diversity factor at the station is 1-5 and the average annual load factor is 60%. Calculate: (i) the maximum demand on the station, (ii) annual energy supplied by the station and (iii) suggest the installed capacity and the number of units.
The figure below shows the one-line diagram of a four- bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10] Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2 (0) = 1.15<0°, V3 = 1.15 < 0°, V4 1.1< 0°. 1- Specify the type of each bus and known & unknown quantities at each bus. 2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]). 3- Using Gauss-Siedal fınd the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: |- The value of real power (P2), at bus 2 after the first iteration. Il- The second element in the first row of the Jacobian matrix after the first iteration. 2 P2…
Electricity Distribution Network - What are the UK power distribution network voltage levels? Why there is the need for a distribution management system in electric power distribution networks? Power System Operation and Control - State three reasons why it is important to maintain the supply frequency within statutory limits for a power system. Power System Operational Issue - Briefly discuss what are the major power quality issues, particularly in power-electronic-interfaced Microgrid systems. New Electricity Demand - Briefly explain the concept of plug-in hybrid electric vehicle technology and its challenges to the power grid. Power System Operational Issue - Briefly explain the concept of Dynamic Network Rating (DNR), and what are the major benefits for electricity distribution networks and distribution network operators (DNOs). Electricity Network Operation with High Penetration Level of Renewables Although wind power is seen as offering many countries the potential to reduce…
Incremental fuel costs in dollars per megawatthour for a plant consisting of two units are given by:dC(P)/dP = 0.0080 P1 + 8.0dC(P)/dP = 0.0096 P2 + 6.4Assume that both units are operating at all times, that total load varies from 250 to 1250 MW, and that maximum and minimum loads on each unit are to be 625MW and 100MW respectively. Find the incremental fuel cost and the allocation of load between units for the minimum cost of various total loads.Write your answers in the given format below.
In a given system of base power of 250 MW, and bus 3 is taken as reference. The per-unit reactances are X12 = 0.2 p.u., X13 = X23 = 0. 1 p.u. The power flow in the system is given as: PF12 = 50 MW, PF13 = 150 MW, PF23 = 50 MW. Based on readings from 2 meters (not including M12 meter), M13 = 145 MW (not calibrated), and M23 = 50 MW (well calibrated), deduce the flow on line 1-2. Select one: O a. PF12 = - 47.5 MW. O b. None of these O c. PF12 = 67.5 MW. O d. PF12 = 47.5 MW. O e. PF12 =- 57.5 MW. O f. PF12 = 57 MW.
What effects are produced by change in voltage? 1. Iron los..........varies approximately as V². 2. Cu loss..........it also varies as V² but decreases with an increase in voltage if constant kVA output is assumed. 3. Efficiency...........for distribution transformers, efficiency at fractional loads decreases with in- crease in voltage while at full load or overload it increases with increase in voltage and vice- versa. 4. Regulation..........it varies as but decreases with increase in voltage if constant kVA output is assumed. 5. Heating.........for constant kVA output, iron temperatures increase whereas Cu temperatures decrease with increase in voltages and vice-versa.
Discuss the concept of load shedding in power systems. Under what circumstances is load shedding implemented, and what are the consequences of load shedding for consumers and the grid?
Explain the concept of FACTS (Flexible Alternating Current Transmission Systems) devices. How do they enhance the control and stability of power systems? Provide examples of FACTS devices and their applications.
7. TY Hat CHICL Ans. 1. Iron los.........varies approximately as V². 2. Cu loss..........it also varies as ² but decreases with an increase in voltage if constant kVA output is assumed. 3. Efficiency...........for distribution transformers, efficiency at fractional loads decreases with in- crease in voltage while at full load or overload it increases with increase in voltage and vice- versa. 4. Regulation..........it varies as but decreases with increase in voltage if constant kVA output is assumed. 5. Heating.........for constant kVA output, iron temperatures increase whereas Cu temperatures decrease with increase in voltages and vice-versa. quems
Subject Renewable energy systems solve all or will dislike
Give the analogous quantities for electrical current in pneumatic, hydraulic and thermal systems. b. Give example for isomorphic electric, pneumatic, hydraulic and thermal systems.
Discuss the concept of a smart grid and its significance in modern power systems.