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Section 2: Top-Down Energy Planning ( 31 pts)

4. Suppose a coal power plant has a heat rate of 10,000 BTU per kWh. If 1,000,000 kg

of coal were burned, how much energy would be produced in GWh? (1 pt)

Fig: 1


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1) A load consisting of a 452 resistor, a 502 inductor and a 302 capacitor in series. The source is at 120 V (rms). Find the following. a) The source current (in phasor form). b) The real and reactive power consumed by the load. a) 5 points b) 5 points Z = R + j(X₁Xc) = 4+j2 V₂ 1=¼/= I = 24-j12= 26.83Z-26.57° A Z S = V₁I* = 2880 +j1440 P = 2880 W, Q = 1440 Var


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2) The voltage and current of a Y-connected load are: Vab=25/15°V, Ic = 10275⁰ A Find the total real power consumed by the load. Note: read the subscripts of the voltage and current carefully. Ve Vc: 5 points P30: 5 points 25 √3 P36 = 3. Vab √3 P30 = 3|vc||1c| cos 25 √3 25 √3 00v. 01 105° - 75° = 30° €490° <15° +90° 10.cos(30°) = -Z105° = 375 W consumed by the load.


You are a newly-hired energy planner for the city of Exampleville. Mayor Bigshot has decided that the city should become energy-independent, and has asked your supervisor, Bossperson, for a report discussing different options for doing so. Bossperson has tasked you with performing some calculations and discussing the strengths of different options based on those calculations. 6. There are 100,000 homes in Exampleville, and the average home has the following daily power demand profile. Each hour is an hour in a day, and "Watts" describes the average power demand during that hour:/nHour 1 Watts 600 Hour Watts 2 600 3 600 600 800 67 8 1000 1100 1200 1200 1000 1000 9 10 11 12 1200 13 14 15 16 17 18 19 20 21 22 23 24 1000 1000 1100 1500 1600 2200 4500 2200 1800 1000 800 600 a. How much energy in kWh does the average home use in a 24 hour period? (1 pt) b. How much energy in kWh does the average home use in 365 days? (1 pt) c. How much energy, in MWh, do all of the city's homes combined use in 365 days? (1 pt) d. Exampleville has several options for generating electrical power, each with different characteristics, listed below:


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