Calculating distributed parameters based on given Pi model

• Apr 13, 2015

• #1

Bababarghi

5

0

Homework Statement

In a course I am studying, I have been asked to calculate the distributed parameters of a line whose Pi model has been provided. I simply quote the question here for clarity of my question:

Homework Equations

[tex]C = \frac{{2\pi \varepsilon }}{{\ln \frac{b}{a}}}[/tex]
[tex]R = \frac{1}{{2\pi {\sigma}{\delta _s}}}\left( {\frac{1}{a} + \frac{1}{b}} \right)[/tex]
[tex]L = \frac{\mu }{{2\pi }}\ln \frac{b}{a}[/tex]
[tex]\tan \delta = \frac{G}{{\omega C}}[/tex]

The Attempt at a Solution

I was hoping to use above equation to solve the problem but then I realized the conductor material i.e. its conductivity, permeability, etc. is missing. Therefore all above equations would be of no use in this case.

Now the question that I can not get my head around it, is what approach will get me from lump Pi model parameters to line distributed parameters? Note that I am looking for guidelines, not the actual solution.

Thanks

 

• Apr 20, 2015

• #3

NascentOxygen

Staff Emeritus

Science Advisor

9,242

1,074

Bababarghi said:

I have been asked to calculate the distributed parameters of a line whose Pi model has been provided.

Have you tried a google search?

 

• Apr 20, 2015

• #4

donpacino

Gold Member

1,439

285

http://www.mathworks.com/help/physmod/sps/powersys/ref/power_lineparam.html
try this. You will have to use this information to work backwords, but it might get you started

 

Related to Calculating distributed parameters based on given Pi model

1. What is a distributed parameter in a Pi model?

A distributed parameter in a Pi model is a component that represents a physical property, such as resistance, capacitance, or inductance, that is distributed along a length or area rather than concentrated at a single point. It is also known as a distributed element.

2. Why is it important to calculate distributed parameters in a Pi model?

Calculating distributed parameters in a Pi model is important because it allows for a more accurate representation of the behavior of a physical system. This is especially important for high-frequency circuits and systems, where the distributed nature of the components can significantly affect the overall performance.

3. How do you calculate distributed parameters in a Pi model?

Distributed parameters can be calculated using various methods, such as the transmission line method, the lumped element method, or the finite difference method. These methods involve solving differential equations or using numerical methods to determine the values of the distributed parameters.

4. What are some common applications of calculating distributed parameters in a Pi model?

Calculating distributed parameters in a Pi model is commonly used in the design and analysis of high-frequency circuits, transmission lines, and antennas. It is also used in the modeling of distributed systems, such as distributed power systems and distributed sensor networks.

5. Are there any limitations to using distributed parameters in a Pi model?

While calculating distributed parameters in a Pi model can provide a more accurate representation of a physical system, it can also be computationally intensive and complex. Additionally, the accuracy of the results may depend on the assumptions and approximations made in the calculation process. Therefore, it is important to carefully consider the trade-offs and limitations when using distributed parameters in a Pi model.