NPRE 475 Spring 2024 HW3-3
pdf
keyboard_arrow_up
School
University of Illinois, Urbana Champaign *
*We aren’t endorsed by this school
Course
475
Subject
Electrical Engineering
Date
Feb 20, 2024
Type
Pages
1
Uploaded by PrivateDugong76
1 Wind Power Systems, NPRE 475 Spring 2024 Problem Set #3 1.
Based on the spreadsheet (
WindData 2024.xls
) which contains one month of 10 minute data (m/s) determine: a) The average wind speed and standard deviation of the wind speed for the month (5 points) b) Using the raw data, find i) the average power (kW), ii) the monthly energy (kWh) and iii) the capacity factor for a 10,000 kW turbine at the site. (15 points) For the wind turbine (pitch controlled), assume a quadratic power curve between cut-
in and rated as shown below: P
= 0 kW 2
0
≤
<
U
(m/s) P
= U
2
/0.0144 kW 12
2
≤
<
U
(m/s) P
= 10,000 kW 20
12
≤
<
U
(m/s) P
= 0 kW 20
>
U
(m/s) c) Repeat b) using a power curve for a hypothetical stall-controlled rotor in <
Power curve snippet HW3 2024.xlsx
>. Note that the rated power is still assumed to be 10,000 kW. (20 points) 2.
Based on the spreadsheet in Problem 1: a)
Make and plot a histogram of the wind data, <
WindData 2024.xls
> (20 points) b)
Repeat part b) of Problem 2.5 using the histogram. That is find i) the average power (kW), ii) the monthly energy (kWh) and iii) the capacity factor for a 10,000 kW turbine at the site using the histogram. As before, use this power curve: P
= 0 kW 2
0
≤
<
U
(m/s) P
= U
2
/0.0144 kW 12
2
≤
<
U
(m/s) P
= 10,000 kW 20
12
≤
<
U
(m/s) P
= 0 kW 20
>
U
(m/s) Hint: Use the midpoint of the bin as the representative wind speed (20 points) c) Compare the results to those of Problem 1(b). (5 points)
Discover more documents: Sign up today!
Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get:
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Documents
Related Questions
What is the purpose of power factor correction to a given load?
O To reduce the amount of voltage to the load.
O To reduce the amount of dependence on automated machinery.
O To reduce the amount of current to the load.
O To reduce the amount of resistance of the load.
arrow_forward
Which of the following statements regarding the cost structure of a wind farm are true?
Select one or more:
a. The turbine accounts for 40% of the total cost of an onshore wind farm.
O b. About half of the total cost of an offshore wind farm consists of foundation, substation and cabling costs.
c. Almost half of the total cost of a wind turbine is made up of the cost of a tower and blades.
arrow_forward
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.
arrow_forward
power system
arrow_forward
Analyse several voltage and current situations in different loading scenarios in a simplified radial (transformer to consumption) medium-voltage power system example. There are only 2 nodes in the 35 kV line – node 0 from the 110/35 kV and node 1 with one consumer.
Briefly reflect on the complexity of the calculations for known input or output voltage, as well as for fixed or voltage-dependent consumption in this simple power system model.
Analyse and discuss the sensitivity of the voltage drop [in % of amplitude and the degrees of phase] with respect to the current level [in %] and to the power factor.
arrow_forward
3. A yearly load duration curve of a gas turbine power plant is a straight line from 50,000 to 5,000 kW. The
load is taken by a power plant that consists of two units of 30,000 kW each and one unit of 20,000 kW.
Determine:
(a) Installed capacity (b) Plant factor (c) Maximum demand (d) load factor and (e) utilization factor of the
plant.
arrow_forward
A generating station has a maximum demand of 20 MW, a load factor of 60%, a plant capacity factor of 48% and a plant use factor of 80% Find: 1)the daily energy produced (2) the reserve capacity of the plant. (3) The maximum energy that could be produced daily if the plant was ruinining all the time.(4).Maximum energy that could be produced daily if the plant was running fully loaded and according to an operating schedule.
arrow_forward
2. Explain the environmental impacts of wind power plant?
arrow_forward
Cost of a 600 kW wind turbine is $ 550000. Other initial costs including that for
installation and grid integration are 30 per cent of the turbine cost. Useful life of the
system is 20 years. Annual O&M costs plus the land rent come to 3.5 per cent of the
turbine cost. Calculate the cost of generating electricity from the turbine when it is
installed at a site having a capacity factor of 0.25. The real rate of interest may be
taken as 5 %.
arrow_forward
TOPIC: Power Systems, Power Plants & IlluminationINSTRUCTIONS:- Answer in this format: Given, Illustration, Required Conversion, Solution, Final Answer.- Step-by-step solution, do not skip even simple calculations to avoid confusion.- If answered in written form, make sure it is readable.PROBLEM:
A generating station has two 50 MW units each running for 8,500 hours in a year and one 30 MW unit running for 1,250 hours in one year. The station output is 650 x 106 kWh per year. Calculate the utilization factor.
0.732
0.653
0.811
0.795
arrow_forward
step down chopper has Vs = 230 V and R = 10 0. For a duty
cycle of 0.4, the power taken by the chopper is 2097 Watts.
Find the chopper efficiency. Take the voltage drop across the
chopper switch as 2 V.
a) 98 %
b) 89.96 %
c) 99.14 %
d) 96.54 %
arrow_forward
Please answer in typing format solution
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305632134/9781305632134_smallCoverImage.gif)
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337516549/9781337516549_smallCoverImage.jpg)
EBK ELECTRICAL WIRING RESIDENTIAL
Electrical Engineering
ISBN:9781337516549
Author:Simmons
Publisher:CENGAGE LEARNING - CONSIGNMENT
Related Questions
- What is the purpose of power factor correction to a given load? O To reduce the amount of voltage to the load. O To reduce the amount of dependence on automated machinery. O To reduce the amount of current to the load. O To reduce the amount of resistance of the load.arrow_forwardWhich of the following statements regarding the cost structure of a wind farm are true? Select one or more: a. The turbine accounts for 40% of the total cost of an onshore wind farm. O b. About half of the total cost of an offshore wind farm consists of foundation, substation and cabling costs. c. Almost half of the total cost of a wind turbine is made up of the cost of a tower and blades.arrow_forward2. 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.arrow_forward
- power systemarrow_forwardAnalyse several voltage and current situations in different loading scenarios in a simplified radial (transformer to consumption) medium-voltage power system example. There are only 2 nodes in the 35 kV line – node 0 from the 110/35 kV and node 1 with one consumer. Briefly reflect on the complexity of the calculations for known input or output voltage, as well as for fixed or voltage-dependent consumption in this simple power system model. Analyse and discuss the sensitivity of the voltage drop [in % of amplitude and the degrees of phase] with respect to the current level [in %] and to the power factor.arrow_forward3. A yearly load duration curve of a gas turbine power plant is a straight line from 50,000 to 5,000 kW. The load is taken by a power plant that consists of two units of 30,000 kW each and one unit of 20,000 kW. Determine: (a) Installed capacity (b) Plant factor (c) Maximum demand (d) load factor and (e) utilization factor of the plant.arrow_forward
- A generating station has a maximum demand of 20 MW, a load factor of 60%, a plant capacity factor of 48% and a plant use factor of 80% Find: 1)the daily energy produced (2) the reserve capacity of the plant. (3) The maximum energy that could be produced daily if the plant was ruinining all the time.(4).Maximum energy that could be produced daily if the plant was running fully loaded and according to an operating schedule.arrow_forward2. Explain the environmental impacts of wind power plant?arrow_forwardCost of a 600 kW wind turbine is $ 550000. Other initial costs including that for installation and grid integration are 30 per cent of the turbine cost. Useful life of the system is 20 years. Annual O&M costs plus the land rent come to 3.5 per cent of the turbine cost. Calculate the cost of generating electricity from the turbine when it is installed at a site having a capacity factor of 0.25. The real rate of interest may be taken as 5 %.arrow_forward
- TOPIC: Power Systems, Power Plants & IlluminationINSTRUCTIONS:- Answer in this format: Given, Illustration, Required Conversion, Solution, Final Answer.- Step-by-step solution, do not skip even simple calculations to avoid confusion.- If answered in written form, make sure it is readable.PROBLEM: A generating station has two 50 MW units each running for 8,500 hours in a year and one 30 MW unit running for 1,250 hours in one year. The station output is 650 x 106 kWh per year. Calculate the utilization factor. 0.732 0.653 0.811 0.795arrow_forwardstep down chopper has Vs = 230 V and R = 10 0. For a duty cycle of 0.4, the power taken by the chopper is 2097 Watts. Find the chopper efficiency. Take the voltage drop across the chopper switch as 2 V. a) 98 % b) 89.96 % c) 99.14 % d) 96.54 %arrow_forwardPlease answer in typing format solutionarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage LearningEBK ELECTRICAL WIRING RESIDENTIALElectrical EngineeringISBN:9781337516549Author:SimmonsPublisher:CENGAGE LEARNING - CONSIGNMENT
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305632134/9781305632134_smallCoverImage.gif)
Power System Analysis and Design (MindTap Course ...
Electrical Engineering
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337516549/9781337516549_smallCoverImage.jpg)
EBK ELECTRICAL WIRING RESIDENTIAL
Electrical Engineering
ISBN:9781337516549
Author:Simmons
Publisher:CENGAGE LEARNING - CONSIGNMENT