EE 50
Quiz no. 1
January 9, 2014
Name :
Instructions :
• Ask clarificatory questions from your instructor and not from your seatmates
• Avoid making any erasures in your solution.



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3 2 −2
2 −1 −1
1. (35 points) Given A = 0 −1 3  and B =  12 −7 −2
1 4
5
−5 3
1
determine :
(a)
A+3B
3
(b) (AB)t
(c) At B t
(d) cofactors of B
(e) B −1
(f) C = BB −1
(g) D = C + AB t
2. (15 points) A generator which is reperesented by an emf in series with an inductive
reactance is rated 500 MVA, 22KV. Its wye-connected windings have a reactance 0f 1.1
per unit. Find the ohmic value of the reactance of the windings.
3. (50 points) Given the power system in the figure below. Obtain
(a) YBU S by inspection
(b) if Ea = 1.06 0◦ pu , Eb = 1.26 36.87◦ pu, and Ec = 1.36 120◦ pu, present the
equations [Y ][V ] = [I] in matrix form and solve for [V ]