PRACTICE MIDTERM EXAM 1 SPRING 2011
ECE 522
This exam will be
closed book and I will hand out an equation sheet
. Note this is actually
taken from parts of different exams so the total points is somewhat more than 100 points. I left
that to indicate this is slightly, but only slightly, longer than a typical exam.
1. Iterative solution to equations (15 points):
It is desired to find the solution to the equation
below. Assume a starting guess of
x=
0.25
p
and perform one iteration using the NewtonRaphson
method. BE SURE TO SHOW YOUR WORK.
5
=
x
3

4cos
x
2. Power flow solutions – Fast Decoupled NewtonRaphson algorithm (20 points)
:
For the
system below,
use the fast decoupled NewtonRaphson algorithm to find the first update for the
voltage magnitude and angles at all buses. Assume a flat start.
15
13
j
y

=
3. Power flow solutions – Full NewtonRaphson algorithm (20 points)
:
Repeat problem above
using the full NewtonRaphson algorithm. Again, assume a flat start.
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 Summer '10
 Tomsovic
 Electrical Engineering, Numerical Analysis, West Bank, NewtonRaphson algorithm, area control error

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