How you would solve for all the line losses in the system

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Reference no: EM131743717

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.

Reference no: EM131743717

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