Assignment #1_ Basic Energy and Project Economics Calculations

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School

Yorkville University *

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Course

3503

Subject

Industrial Engineering

Date

Apr 3, 2024

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docx

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7

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Question 1 1GJ=1*10^9 Joule 1 Joule = 1 watt * Hour 1Joule = (KW/1000) * (Hour/3600) 1Joule=2.7777* 10^-7 kWh 1GJ=1x10^-9x2.7777x10^-7 kWh 1GJ = 277.777kWh 1kWh = (1/277.777)GJ 500kWh = 500 (1/277.777) GJ Therefore, 500kWh = 1.8GJ Question 2 Given: P=12KW Run timings, from 8:00 a.m. to 8:00 p.m. With this we can say that, In 1 week, the motor works 5 days from Monday thrusday Friday. The motor works 12 hours * 5days = 60 hours in every week In 1 month the motor works = 60 * 4weeks = 240 Hours In 1 year the motor works = 240 hours * 12months = 2880 Hours The energy consumed annually by the motor is 12 KW = 2880H 34560 kWh of electricity does the motor consume annually
Question 3 Motor consumes an average of =12 KW (Given) ------> A Efficiency=75% Poutput = B Efficiency= A /B * 100% I solved for B B = Efficiency x A /100 B = (75x12KW)/100 B = 9 KW Question 4 a)KWh consumed daily : Sum of all powers consumed daily: 1+1+1+2+3+5+3+2+2+4+2+3+3+3+3+2+2= 42 KWh b) Peak demand is 5 KW at the 6th hour interval. Question 5 Plant operates at = 50 MW = 50 * 10 6 W Average loading = 75% Total number of hours in a year = 24 * 365= 8760 hours Loading percent = 75% So, Total loading time = 0.75 * 8760 = 6570 hours Total seconds = 6570 * 60 * 60 = 23652000
Total Kwh Does the plant supply to the grid = 50 * 10 6 *6570 * 60 * 60/1000 = 1182600 kwh Question 6 To calculate the average cost per kWh or MWh for the power produced by the natural gas power plant, we need to consider both the initial capital cost and the annual operating cost over the plant's estimated life. Given: ● Initial capital cost = $175,000,000 ● Annual operating cost = $20,000,000 ● Estimated plant life = 20 years ● Discount rate = 5% We can use the Net Present Value (NPV) formula to calculate the present value of the total cost over the plant's life, and then divide it by the total energy produced to find the average cost per kWh. NPV=175,000,000+20,000,000(1+0.05)1+20,000,000(1+0.05)2+...+20,000,000(1+0.05)20 NPV=175,000,000+ NPV≈175,000,000+19,047,619+18,140,103+...+5,134,000 NPV≈175,000,000+19,047,619+18,140,103+...+5,134,000 NPV≈175,000,000+19,047,619+18,140,103+...+5,134,000 NPV≈175,000,000+19,047,619+18,140,103+...+5,134,000 NPV≈303,515,189 NPV≈303,515,189 Now, we divide the NPV by the total energy produced over the plant's life to find the average cost per kWh: Average Cost per kWh=NPVTotal Energy Produced Average Cost per kWh= Total Energy Produced/NPV Average Cost per kWh=303,515,189328,500,000 Average Cost per kWh= 328,500,000 303,515,189 Average Cost per kWh≈$0.9244/��ℎ Average Cost per kWh≈$0.9244/kWh Therefore, the average cost per kWh for the power produced by the natural gas power plant is approximately $0.9244/kWh. Question 7
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