Gauss-siedel or newton-rapson method, Mathematics

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled loads at bus 2 and 3 are as shown in Table 1. Line impedances are as shown in Table 2 and are marked on in per-unit on a 100- MVA base and the line susceptances are neglected. (Note: Each student will use be assigned the parameters on either Table 1a or Table 1b and either Table 2a or table 2b).

2a. Using either the Gauss-Siedel or Newton-Raphson Method, determine the phasor value of the voltage at load buses 2 and 3 (P-Q buses), analytically.

2b. Using either the Gauss-Siedel or Newton-Raphson Method, determine the phasor value of the voltage at load buses 2 and 3 (P-Q buses) using Matlab.

2c. Find the slack bus real and reactive power.

2d. Determine the line flows and line losses. Construct a power flow diagram showing the direction of line flow.

2e. Explain the steps that was carried out in the load flow analysis.

998_slock bats.png

Figure

Table 1b Real and Reactive Power

Bus

Real Power (Pi) MW

Reactive Power (Qi) Mvar

Voltage (Vi) p.u.

Type

1

 

 

1.00Ð0º

Slack Bus

2

260.2

115.2

 

PQ Bus

3

145.6

55.2

 

PQ Bus

Table 2b  Line Impedances

Element

Impedance

1 - 2

0.03 + j0.05

2 - 3

0.0115 + j0.035

1 - 3

0.015 + j0.035

Solution should include:

 1. Calculation of admittances         

    a. Calculation process   

    b. Detailed one line diagram showing admittances  

2. Detailed calculation of the phasor voltages using a number of iterations.         

    a. Calculation process   

     b. Accuracy of the phasor voltage (minimum of four decimal places)              

3. Detailed calculation of slack bus power    

4. Detailed calculation of line currents           

    a. Detailed calculation process

     b. Power flow diagram  

5. Matlab Solution             

    a. M-File (soft and hard copy)     

     b. Accuracy of result     

6. Analysis  of load flow process done.          

     a. Analysis should include the significance of using either the Gauss-Siedel or Newton-Rapson Method,   

Posted Date: 2/26/2013 5:44:06 AM | Location : United States







Related Discussions:- Gauss-siedel or newton-rapson method, Assignment Help, Ask Question on Gauss-siedel or newton-rapson method, Get Answer, Expert's Help, Gauss-siedel or newton-rapson method Discussions

Write discussion on Gauss-siedel or newton-rapson method
Your posts are moderated
Related Questions
please give the answer 1/9+1/3 with working out

Seriation :  You have read about a preschooler's ability to order. Ordering a set of objects means to arrange them in a sequence according to some rule. This arrangement could be

Michael has 16 CDs. This is four more than twice the amount that Kathleen has. How many CDs does Kathleen have? Let x = the number of CDs Kathleen has. Four more than twice th

Power Series and Functions We opened the previous section by saying that we were going to start thinking about applications of series and after that promptly spent the section

different kind of ellipsoid

how to find inverse of matrix

50387 divided by 21

I need help to understand: fxx for f(x,y)=x^2+y^2-2xy

If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.

rational number as decimal and check