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PracticeFinalExam

# PracticeFinalExam - Spring 2009 EE 422/522 Final Exam NAME...

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Spring 2009 EE 422/522: Final Exam NAME: STUDENT NUMBER: 1. Power flow solutions – Fast Decoupled Newton-Raphson algorithm (20 points): Perform one interation using the fast decoupled Newton-Raphson algorithm assuming a flat start. Line admittances are given in the diagram. 2. Transient stability (25 points) : A generator is connected to a transmission lines as sketched below. A fault occurs at the location indicated in the diagram (next to the bus). The fault is temporary so that when it clears the line remains in service. Find the critical clearing angle and time to ensure stability. All values are given in per unit. Bus 1 Bus 2 (slack bus) P 2 =2.0 Bus 3 P 3 =-4.0 Q 3 = -1.0 (PQ bus) E a =1.25 ∠δ P m =0.75 H=3.0 j0.8 j0.2 V=1.0 Fault

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3. Iterative equations (15 points): It is desired to find the solution to the equation below. (a) Assume a starting guess of x= 0.75 π and perform one iteration using the Newton-Raphson method. BE SURE TO SHOW YOUR WORK. 4. Fault current calculations (25 points): Consider two generators in parallel connected
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