Assignment
Problem 1:
For the system provided below, perform Newton Raphson Power Flow Method, using the following data:
|
Line
|
Miles
|
Line
Type
|
IIMPOIENM
|
Bus Types
|
|
1-2
|
175
|
Drake
|
Bus 1 - Slack Bus,
|AV|=1, θ=0
|
|
2-3
|
200
|
Drake
|
|
1-4
|
80
|
Drake
|
Bus 2 - PV Bus,
PC).9, |V|=1
|
|
2-4
|
100
|
Drake
|
Bus 3 - PV Bus,
P=0.8. |V|=1
|
|
4-5
|
50
|
Drake
|
Bus 4 - PQ Bus
S4D=1.3±j0.4
|
|
3-5
|
125
|
Drake
|
|
Bus 5 - PQ Bus
SD5=0.5 +J0.2
|
Assumptions:
1. Conductor spacing for each of the transmission lines is 186 inches (Phase A to B, and Phase B to C).
2. Model lines >150 miles as medium line models, and lines<150 miles as short line models.
3. Initial Guess: |V|=1, 0=0
4. Sbase = 100MVA
5. Power Flow Error Tolerance = 0.001
6. Use Table in Text for Drake Line Parameters
Solve for:
a. Find Thus
b. Formulate J
c. Solve the problem (you can use a computer for the solution - provide
Excel sheet or Matlab code of your answer).
d. Solve for your Slack Bus Power.
e. Describe how you would solve for all the line losses in the system
f. Solve the first iteration of the Newton Raphson problem using as an initial guess the answer from Problem 2.
Problem 2:
For the system provided in Problem 1, perform the first iteration using the Gauss-Siedel method.
a. Formulate the Power Flow Problem
b. Solve for first iteration.