Calculating distributed parameters based on given Pi model

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SUMMARY

The discussion focuses on calculating distributed parameters for a transmission line based on a provided Pi model. Key equations include the capacitance formula C = (2πε) / ln(b/a), resistance R = (1 / (2πσδ_s)) * (1/a + 1/b), and inductance L = (μ / (2π)) * ln(b/a). The user highlights the absence of conductor material properties, such as conductivity and permeability, which are essential for applying these equations. A suggestion was made to utilize resources from MathWorks to reverse-engineer the parameters.

PREREQUISITES
  • Understanding of transmission line theory
  • Familiarity with the Pi model of transmission lines
  • Knowledge of electromagnetic properties such as conductivity and permeability
  • Basic proficiency in using MATLAB for simulations
NEXT STEPS
  • Research the derivation of distributed parameters from lumped Pi model parameters
  • Explore MATLAB's power line parameter functions for practical applications
  • Study the impact of conductor material properties on transmission line performance
  • Learn about numerical methods for solving transmission line equations
USEFUL FOR

Electrical engineering students, transmission line designers, and professionals involved in power system analysis will benefit from this discussion.

Bababarghi
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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:

03116150893369645217.png

Homework Equations



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

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
 
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?
 

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