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Oregon State University, Corvallis *

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530

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Mechanical Engineering

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Dec 6, 2023

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pdf

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2022/5/17 21:12 Quiz: Midterm Midterm Started: May 16 at 8:07pm Quiz Instructions The exam is open book and open notes. You may consult with your classmates on strategy, but the work must be your own. Question 1 2 pts The recently closed Boardman coal plant in Boardman, OR has a campus of approximately 2 square km, and a rated power output of 550 MW. (It was permanently closed on Oct 15 2020.) A satellite image of the facility is shown below. Assume the coal plant has a capacity factor of 72.6%. How much energy (in MWh) does the coal plant produce in a year? N vl AN -~ Cr N - - % " At )/ s ~ i « 3% N\ i 3% ; e S &\ ths n - 4 L - ‘. - L "of""u-‘vhwn.h"" > B . - =gk " o = - \.\ - Pt e ‘..',.,l;_"’ SR N b ~_-“~).'_ "?“Hs‘;{‘, - e ) ! 4 - 2 l,‘ e » A A 4 . & L Y S .:,,,:‘ .‘*,« Rl T AV TS Report a problem | K 3,497,868 Question 2 2 pts https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take 1/18
2022/5/17 21:12 Quiz: Midterm Assume a wind farm of 300 Vestas V90 2 MW wind turbines is being considered as a replacement for the coal plant. Assume a wind capacity factor of 30.7%. How much energy (in MWh) does the wind farm produce in a year? 1,613,592 The questions below utilize the wind turbine power curve below. The turbine power is the dark trace with diamond markers, using the y-axis scale on the left. The coefficient of power is the light trace with circle markers, using the y-axis scale on the right. Assume this turbine is deployed in a location with an average wind speed of 7 m/s. I Power P [kW] Power coefficient Cp [-] O S S S S > () 60 2,000 1,750 0.50 L2 0.40 1,250 1,000 0.30 750 0.20 500 0.10 250 0 0.00 0 5 10 15 20 25 Wind speed v at hub height [m/s] Question 3 1 pts What is the wind turbine rated power (in kW)? 2,100 https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take 2/18
2022/5/17 21:12 Quiz: Midterm Question 4 1 pts What is the turbine maximum coefficient of power, as a percentage of the Betz limit? (Answer in percent, no % sign.) 84.7 Question 5 2 pts At a wind speed of 9 m/s, how much wind power is moving through the turbine swept area? (Answer in kW.) 2,500 Question 6 1 pts What are boundaries of region I117? @ 13 m/sto 25 m/s O 2m/sto 13 m/s (O 2m/sto 7 m/s O 0m/sto2m/s (O 7 m/sto 25 m/s Question 7 1 pts In region llI: https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take 3/18
2022/5/17 21:12 Quiz: Midterm (O The turbine speed and blade pitch are fixed. @ The turbine speed is fixed and the blade pitch is variable. (O The turbine speed is variable and the blade pitch is fixed. (O The turbine speed and blade pitch are variable. (O The wind speed is too high and the turbine is shut down. Question 8 1 pts What is the average turbine output power? (Assume ug is the wind speed and f(ug) is the wind speed probability density function.) O < Purbine >= [y Prurbine (u0)® f(uo) dug O < Pubine >= Prurbine (wo) [y f(uo) dug ® < Purbine >= [, Prurbine (o) f(uo) dug O < Purtine >= [y 5PAturbine w3 f(uo) dug O < P, turbine P, rated fOoo U% f (UO) duO Question 9 1 pts Assume a potential wind site is characterized with Rayleigh distribution f(ug) with a mean wind speed of 7 m/s. For any observation of a wind speed at a random time, what is the chance the wind speed will fall within region Il of this turbine? O [y fluo) duo O [% f(up) dug ® [ £(7) dug > f f(13) dug https://canvas.oregonstate.edu/courses/1883392/quizzes/27684 34/take 4/18
2022/5/17 21:12 Quiz: Midterm O [7 £(13) dug Question 10 1 pts Why does the coefficient of power decrease for the high wind speeds? (O The generator operates less efficiently at high speeds (O The turbine speed is being decreased to reduce stress on the turbine (O The blades are not optimized for the less frequent wind speeds above 15 m/s @ The blades are being pitched to spill the excess power (O Higher wind speeds are less frequent For the questions below, assume we have a grid connected energy storage system with the following specifications: Energy rating: 98 kWh (full SOC range) Power rating: 51 kW Power electronics charge efficiency: 90% Power electronics discharge efficiency: 95% Storage medium round trip efficiency: 80% Question 11 2 pts If the power electronics are delivering 21.9 kW to the grid, what is the power drawn from the link between the storage medium and the power electronics (P, )? (Answer in kW.) 23.05 https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take 5/18
2022/5/17 21:12 Quiz: Midterm Question 12 2 pts If the power electronics are delivering 27.3 kW to the grid, what is the power withdrawn from the storage medium (P%,,)? (Answer in kW.) 32.13 Question 13 2 pts If the power electronics are delivering 28.3 kW to the grid, and the system starts at full SOC, what is the SOC after 2 hours? (Answer in fractional, not percent.) 0.32 Question 14 2 pts If the power electronics are discharging at -37.9 kW (in other words charging), what is the power drawn from the link between the storage medium and the power electronics (Pj;nz)? (Use a discharging convention, in which positive numbers mean power flowing from the storage medium to the output of the power electronics, and negative numbers mean power flow from the power electronics to the storage medium.). (Answer in kW.) -34.11 Question 15 2 pts If the power electronics are discharging at -37.5 kW to the grid, what is the power withdrawn from the storage medium (P, )? (Use a discharging convention, in which positive numbers mean power flowing from the storage medium to the https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take 6/18
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