Effect of Bundling on Transmisson Line Inductance

  • Thread starter Thread starter shivad
  • Start date Start date
  • Tags Tags
    Conductors
Click For Summary

Discussion Overview

The discussion revolves around the effect of bundling on the inductance of transmission lines, particularly focusing on whether bundling decreases inductance and the role of capacitance in this context. Participants explore theoretical aspects and practical implications related to power lines and insulated wires carrying different signals.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the effect of bundling on decreasing the inductance of transmission lines and seeks references.
  • Another participant suggests that capacitance between wires in a bundle might have an effect on inductance.
  • A different participant asserts that capacitance is not a factor since the conductors in the bundle have the same electric potential and provides a formula for inductance that indicates it decreases as the mean geometric radius increases.
  • Further questions arise regarding the scenario of insulated wires carrying different signals at high frequency, where the potentials may not be the same, leading to inquiries about the impact of capacitance and whether inductance would still be reduced.
  • Another participant clarifies that in a three-phase system, the cables in the bundles are at the same potential for a particular phase and discusses the implications of capacitance during transients in power lines.
  • There is a reference to course notes that suggest bundling creates an effectively larger hollow conductor, which could reduce inductance.

Areas of Agreement / Disagreement

Participants express differing views on the role of capacitance in relation to inductance in bundled conductors, particularly in scenarios involving different signal potentials. The discussion remains unresolved regarding the specific conditions under which bundling affects inductance.

Contextual Notes

Participants note that the effects of bundling may depend on the specific configurations of the wires, such as whether they are insulated or at the same potential, and the frequency of the signals being carried. There are also references to theoretical models that may not encompass all practical scenarios.

shivad
Messages
1
Reaction score
0
Hi everyone!
I am new to this forum.
Can anyone help me to find any reference about this question:
"What is the effect of bundling on decreasing the inductance of a transmission line?"
I will be very grateful for any help.
:rolleyes:
 
Physics news on Phys.org
Gee, that is an interesting question that I never thought of before. Could the capacitance between the wires in the bundle have an affect?
 
It's not capacitance since the conductors in the bundle have the same electric potential.

See slides 3-8 and 15 of this PowerPoint presentation
courses.ece.uiuc.edu/ece476/lectures/ECE4762005Lect5.ppt (use save target as)

For a bundled conductor of mean geometric radius Rb,

the inductance is given by [tex]\frac{\mu_0}{2\pi}\,ln(\frac{D}{R_b})[/tex],

and the inductance decreases as Rb increases. Compare this result with L for a single conductor.

There is more theory with the same notes on bundling in
courses.ece.uiuc.edu/ece476/lectures/ECE4762005Lect6.ppt

These course notes may be time limited, i.e. the links will be invalid at some point in the future.
 
More questions

I see in the case of like a power line, but I thought it was a bundling of Insulated wires carrying different signals at high frequency. So the potentials in that case will not be the same. What happens then? Does capacitance make any difference in that case? Would inductance be reduced? Or is it only in the "power line" case where all the wires are at the same potential that we get reduced inductance?

Thanks in advance for your answers!
 
wildman said:
I see in the case of like a power line, but I thought it was a bundling of Insulated wires carrying different signals at high frequency. So the potentials in that case will not be the same. What happens then? Does capacitance make any difference in that case? Would inductance be reduced?
As far as I know, the cables in the bundles are not insulated from each other, and are at the same potential for a particular phase (in a 3 phase system). Also, the cables in the bundle are at the same AC frequency, 50 Hz or 60 Hz depending on country, and each of 3 phases is at the same frequency.

Certainly if the cables in the bundles were at different potentials, there would be some capacitance, and then there would be the effect of the "LC" in the circuit, which is a matter for power lines anyway during transients such as lightning strikes or rapid load changes. The phases certainly have differences in potential among each other and with the ground (neutral).

Or is it only in the "power line" case where all the wires are at the same potential that we get reduced inductance?
If one reads the notes to which I linked, one sees that bundling creates an effectively larger hollow conductor, which has the effect of reducing inductance.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 22 ·
Replies
22
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 44 ·
2
Replies
44
Views
9K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 3 ·
Replies
3
Views
979