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


Table 1b Real and Reactive Power


Real Power (Pi) MW

Reactive Power (Qi) Mvar

Voltage (Vi) p.u.






Slack Bus





PQ Bus





PQ Bus

Table 2b  Line Impedances



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
Can you show that a slope will vary along a curve (as opposed to a straight line)?

Partial Fractions - Integration techniques In this part we are going to take a look at integrals of rational expressions of polynomials and again let's start this section out w

Scatter Graphs - A scatter graph is a graph that comprises of points which have been plotted but are not joined through line segments - The pattern of the points will defin

INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to

A reliability system consists of 15 independent components. The probability that a component works is 0.9 for each. The system works if at least 11 of the components work. Fi

Doing the following exercise will give you and opportunity to think about this aspect of children. E1) List some illustrations of exploration by four or five-year-olds that you

2(sin 6 ?+cos 6 ?) - 3(sin 4 ?+cos 4 ?)+1 = 0 Ans:    (Sin 2 ?)3  + (Cos 2 ?)3-3 (Sin 4 ?+(Cos 4 ?)+1=0 Consider (Sin 2 ?)3  +(Cos 2 ?)3 ⇒(Sin 2 ?+Cos 2 ?)3-3 Sin 2 ?Co

Describe, in your own words, the following terms and give an example of each. Your examples are not to be those given in the lecture notes, or provided in the textbook. By the en

I have some sample simulation and modeling practice questions using isee Stella software.