EE_387_200809FA_homework_02_solution

EE_387_200809FA_homework_02_solution - 1. Va a ~ Ia Z Ib b...

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1 Homework 02 Solution © Jeffrey Mayer 2005-2008. All rights reserved. EE 387 Fall 2008 2 33 3 2 3 2 3 n nn n a a n b b n c c n t n YY Y I V I Y V I V Y ⎡⎤ + −− ⎢⎥ ++ + ⎤⎡ + ⎥⎢ =− + ⎦⎣ + + ⎣⎦ ±± a b a I ~ a V ± c I ± b I ± c c V ± c V ± Z Z Z n I ± n V ± n Z n a b a I ~ a V ± c I ± b I ± c c V ± c V ± 1 = Z Y 1 = n n Z Y 0 n Y = 20 30 aa bb cc t Y Y Y I V Y I Y V Y I V Y Y Y + + + + + + 21 1 3 12 1 3 11 2 3 I Y V I Y V I Y V 1 = Z Y 1.
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2 Homework 02 Solution © Jeffrey Mayer 2005-2008. All rights reserved. EE 387 Fall 2008 a b a I ~ a V ± c I ± b I ± c c V ± c V ± 1 = Z Y 1 3 () na b c VV V V =+ + ±± ± ± 0 nb nc YV V +− = 1 3 211 333 aa n b c abc IY V V YV V V V =− + + =−− ± ± ± ±±± 121 bbca I + ± ± 112 ccab I = −−+ 21 1 33 3 12 1 3 11 2 3 bb cc I YY Y V I Y V I Y V ⎤⎡ −− ⎡⎤ ⎥⎢ ⎢⎥ ⎣⎦ ⎦⎣ 2.
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3 Homework 02 Solution © Jeffrey Mayer 2005-2008. All rights reserved. EE 387 Fall 2008 100 MVA = | S 3 φ |, 0.866 lagging a bc a I ~ an V ~ + + 345 kV ab V = ± (1 120 ) (1 1 120 ) 33 0 1 30 3 ab an bn an an an an an ab VVV VV V V =− −° =−∠ − ° =∠ ° ⎛⎞ ⇒= ° ⎜⎟ ⎝⎠ ±±± ±± ± ± kV 30 2 . 199 ) 0 345 ( 30 3 1 ~ ° = °
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This note was uploaded on 11/11/2008 for the course EE 387 taught by Professor Jefferymayer during the Fall '08 term at Pennsylvania State University, University Park.

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EE_387_200809FA_homework_02_solution - 1. Va a ~ Ia Z Ib b...

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