ENSY 5000 Fundamentals of Energy System Integration Homework Problem Set 9Submit your assignment as a pdf file to the Canvas for submission portal allocated for this Homework. NOTE: To solve...

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This assignment requires you to read the posted papers related to co-generation systems. Questions are testing your understanding of critical parameters important to understand performance of such systems. You can use the graphs in lectures or the ones in the paper to anwer these questions.


ENSY 5000 Fundamentals of Energy System Integration Homework Problem Set 9 Submit your assignment as a pdf file to the Canvas for submission portal allocated for this Homework. NOTE: To solve this problem set as well as any other problem set, it will help if you draw your system and identifying the energy component (property) changes and the energy interactions at the boundaries. In some cases, you may need a sub system analysis to identify the energy interactions. In all your solutions, • clearly show your system definition with proper sketches indicating related energy flows • clearly show how you write your equations (e.g., Mass, Energy, Entropy balance, etc.) • identify relevant energy flows • use of definitions of power-energy relationships and efficiencies as needed • use of proper equation of state, or property relations as needed • clearly show your steps, assumptions, and approximations. READING ASSIGNMENT: Please read all four papers listed in Module for Week 11 under the page Papers Showing Results for Sample Applications Utilizing Hybrid Co-Generation Systems or under the module for Co-Generation Software and Materials. FOLLOWING QUESTIONS ARE RELATED TO THE CO-GENERATION SIMULATION SOFTWARE GIVEN PAPERS, and RELATED LECTURE NOTES. YOU DO NOT NEED THE PROGRAM TO ANSWER THESE QUESTIONS. BUT YOU CAN USE THE PROGRAM IF YOU WANT TO FOR THIS ASSIGNMENT. NOTES: • In this homework assignment you should use graphs for the Energy Utilization factor and CO2 production rates per total energy load as a function of the HLRP that are available in the posted papers and discussed in lectures. Also, note the graphs are taken from different papers and that the legends may differ from that in the lecture. You are given a EUF vs HLRP graph for heating and a second one for heating and cooling. The CO2 production rate per total energy load rate is for both heating and cooling. • If you are having difficulties with the provided code or downloading, please contact me or TA immediately. Depending on the version of the program that you are using there may be variations in the default parameters. If you are using the simulation program to answer any of these problems, please state which version you are using (e.g. Windows, Mac, or Matlab). One of the versions of the program has a bug. It does not clear all variables it needs to clear if you run it with modified numbers a second time. You can check this if you run it third time without changing anything, if the output changes (event though you did not change any input), please run twice each time you modified any parameter. https://northeastern.instructure.com/courses/103671/modules/items/6926022 Answer the following questions using the results presented in the lectures and the related papers available within the Modules on Canvas. Q1: For a small strip mall, the owner has reported an average electrical power requirement of 1500 kW and a heating load of 750 kW under winter conditions. The owner is considering installing a Co- Generation system with a installed power output capacity of 1500 kW as a means of conserving energy and controlling costs. NOTE: This is a single design point problem. i.e., only one set of conditions. Determine A) the HLRP (Thermal load to power load ratio) for this average condition B) the first law energy utilization factor C) carbon dioxide production for this installation. D) Confirm air flow through the fuel cells is 100% for the installed Co-Generation system. Q2: For the same strip mall consider installing a larger Co-Generation unit where the air flow through the fuel cell is 50%. In this case, the maximum power that could be produced by the Co-Generation is 3000 kW while only 1500 kW is required. i.e., This is a part load situation. Determine A) the first law energy utilization factor and compare it to solution in Q2 B) and carbon dioxide production and compare it to solution in Q2. Q3: For the same strip mall, the summer energy requirements are 1500 kW of electrical power, 75 kW of heating, 675 kW of cooling. The cooling load will be supplied using a vapor compression refrigerator that is driven by electrical power that is included in the reported results in the papers/code. You do not have to include this additional power requirement because it is included in the analysis. For the installed Co-Generation system, the installed peak power output is 1800 kW and the above conditions have less than a 100% air flow through the fuel cells. NOTE: This is a single design point problem. i.e., only one set of conditions. Determine A) the HLRP (Thermal load to power load ratio) for this average condition B) the first law energy utilization factor C) carbon dioxide production. Sheet1 TimeElectric_LoadQheatQcoolPVStorage 1/1/19 0:00405.47198.05000 1/1/19 1:00399.18194.28000 1/1/19 2:00367.02168.04000 1/1/19 3:00375.14174.22000 1/1/19 4:00346.99151.49000 1/1/19 5:00331.18140.69000 1/1/19 6:00347.59144.62000 1/1/19 7:00328.52129.11000 1/1/19 8:00306.26112.18000 1/1/19 9:00227.3247.4000 1/1/19 10:00216.9140.54000 1/1/19 11:00214.7540.67000 1/1/19 12:00301.73116.02000 1/1/19 13:00306.84122.11000 1/1/19 14:00304.77121.17000 1/1/19 15:00309.60122.81000 1/1/19 16:00318.99126.38000 1/1/19 17:00337.94138.54000 1/1/19 18:00336.36144.24000 1/1/19 19:00340.97151.14000 1/1/19 20:00340.07151.76000 1/1/19 21:00355.37163.14000 1/1/19 22:00360.68167.28000 1/1/19 23:00403.14202.51000 1/2/19 0:00402.44199.88000 1/2/19 1:00444.13231.64000 1/2/19 2:00456.00240.58000 1/2/19 3:00483.56260.33000 1/2/19 4:00493.02263.48000 1/2/19 5:00564.39324.81000 1/2/19 6:00686.32387.81000 1/2/19 7:00856.01394.24000 1/2/19 8:00797.34330.85000 1/2/19 9:00776.16326.48000 1/2/19 10:00746.25313.69000 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Answered 2 days AfterNov 27, 2022

Answer To: ENSY 5000 Fundamentals of Energy System Integration Homework Problem Set 9Submit your assignment...

Dr Shweta answered on Nov 29 2022
39 Votes
Ans 1 For a small strip mall if we consider the efficiency of gas turbine as 30%, then for a power of 1500 KW, the required heat is calculated as:
Heat = 1500/0.3 = 5000 KW
Now this heat is distributed as 1500 KW for work, 750 KW used as the process heat and remaining 2750 KW gets waste
Then,
a) HLRP = 5000/1500 = 3.33
b) Energy utilization = 1500 +750/ 5000 = 45%
c) If methane [ calorific value 55.4MJ/Kg] is used for the purpose of producing power, then,
for producing 5000 KW of heat, required methane = 5000/55.4 *1000 =...
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