IGEE402_Galiana_Final_F09_sol

IGEE402_Galiana_Final_F09_sol - FINAL EXAM SOLUTIONS RSEAUX...

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FINAL EXAM SOLUTIONS RÉSEAUX ÉLECTRIQUES, POWER SYSTEMS ANALYSIS PROF. F.D. GALIANA TUESDAY, DECEMBER 8 TH , 2009 OPEN BOOK TEST; ANSWER ALL 8 QUESTIONS, EACH QUESTION BEING WORTH 15 % FOR A MAXIMUM OF 120% POINTS (FULL MARKS WILL GIVE YOU A BONUS OF 20%) (1) 1 1 1 s a ss be s c V VV V - 1 1 1 r a rr r c V V = 30j 2 22 2 14 5 2 1 2 5 2 1000 3 30000 1 2 5 4 a a a j a aa Thus, 1 1 1 s a s c V V = 1 1 1 r a r c V V + 2 2 2 4 3 30000 4 a aj = 2 1 50 1000 ja a + 2 2 2 4 3 30000 4 a ; (2) The impedance matrix of a three-phase load is given by (5+10j) 5 2 1 2 5 2 1 2 5 ohms. Find the real and reactive power consumed by the three-phase load if the zero sequence current drawn by the load is 1 A, the positive current is 2 A and the negative sequence current is zero. Solution: Find the given impedance matrix in 012 form which is diagonal. Find the real and reactive power consumed by each single phase sequence network using the given currents drawn by each sequence network.
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(3) A three-phase transmission line has two conductors per phase denoted by subscripts a 1 and a 2 , b 1 and b 2 , c 1 and c 2 , and two overhead ground wires denoted by the subscripts w 1 and w 2 .
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IGEE402_Galiana_Final_F09_sol - FINAL EXAM SOLUTIONS RSEAUX...

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