Midterm_Solution_AU04

Midterm_Solution_AU04 - Problem 1(25 points Consider a 3...

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1 Problem 1 (25 points) Consider a 3- φ distribution feeder as shown below (only 1 phase shown): Given V 2, LL = 220 kV (Line-to-line) and the load on Bus 2 has a real power of 80 MW and a reactive power of 60MVar, calculate the following: 1) The value of capacitor C 2 to make the total load power factor on Bus 2 is 0.96 lagging, assuming the three-phase capacitor is Y-connected and the frequency is 60 Hz. (10 points) 2) Disregarding C 2 , calculate V 1, LN (Line-to-neutral). (5 points) 3) Also disregarding C 2 , calculate the value of capacitor C 1 to make the total power factor on Bus 1 to be unity. (10 points) Solution: 1) Load on Bus 2: P + jQ =80MW+j60MVar, C 2 only consumes reactive power Q C 2 . () 96 . 0 cos 2 2 2 = + + = C Q Q P P θ , solve for Q C 2 , MVar 67 . 36 cos cos 1 2 2 = = Q P Q C * 3 2 , 2 2 C LL C I V S = , 2 , 2 2 3 C LL C Z V I = , therefore, 2 2 2 , 2 2 2 , 2 2 , 2 , 2 2 1 * * C LL LL C LL LL C jQ C V j C j V Z V V S = = = = ω therefore, F 2 2 2 , 2 2 2 , 2 2 2 µ π = = = f V Q V Q C LL C LL C 2) A 87 . 36 43 . 262 A 157.46 - 209.95 * 0 3 10 220 3 10 60 10 80 * 3 3 6 6 , 2 ° = = ° × × + × = + = j j V jQ P I LN .
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2 kV 3659 . 8 30 . 144 kV 20.995 + 142.76 kV 3 10 220 ) 46 . 157 95 .
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This note was uploaded on 10/28/2009 for the course ECE 740 taught by Professor Keyhani during the Spring '07 term at Ohio State.

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Midterm_Solution_AU04 - Problem 1(25 points Consider a 3...

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