Elec2: Two conductors transmission line
This is an example of the two conductors transmission line simulation, performed with QuickField software.
Problem Type:
A plane problem of electrostatics.
Geometry:
The problem's region is bounded by ground from the bottom side and extended to infinity on other three sides.
Given:
Relative permittivity of air ε= 1;
Relative permittivity of dielectric ε= 2.
Problem:
Determine self and mutual capacitance of conductors.
Solution:
To avoid the influence of outer boundaries, we'll define the region as a rectangle large enough to neglect side effects. To calculate the capacitance matrix we set the voltage U = 1 V on one conductor and U = 0 on the another one.
Self capacitance: C11 = C22 = Q1 / U1 ,
Mutual capacitance: C12 = C21 = Q2 / U1 ,
where charge Q1 and Q2 are evaluated on rectangular contours around conductor 1 and 2 away from their edges. We chose the contours for the C11 and C12 calculation to be rectangles [-6<x<0], [0<y<4] and [0 <x<6], [0<y<4] respectively.
Comparison of results
|
C11 (F/m) |
C12 (F/m) |
Reference |
9.23·10-11 |
-8.50·10-12 |
QuickField |
9.43·10-11 |
-8.57·10-12 |
Reference
A. Khebir, A. B. Kouki, and R. Mittra, "An Absorbing Boundary Condition for Quasi-TEM Analysis of Microwave Transmission Lines via the Finite Element Method", Journal of Electromagnetic Waves and Applications, 1990.
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