NPRE 475 Spring 2024 HW3-3

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University of Illinois, Urbana Champaign *

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Course

475

Subject

Electrical Engineering

Date

Feb 20, 2024

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pdf

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1

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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)
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