rickcwalker
Newbie
I'm trying to solve a multiconductor transmission line problem for a practical application.
I've written a classic FDM simulator on a square grid. I'm using a simple relaxation equation to solve for the E field for an arbitrary set of conductors, and then I do a contour integral around each conductor to get the charge on each conductor. I do this setting each conductor to 1.0 volt and all the others to 0.0. I've compared my results to the literature and I think I correctly have an approximate Maxwell capacitance matrix [C0] for vacuum and another [CC] with included dielectrics.
The literature says that [L]=MU*E0*inv[C0] and that [Z] is given by sqrt(MU*E0*inv[C0]*inv[CC]).
I'm putting the upper diagonal terms for L and C into the Ngspice CPL transmission line model. I was hoping to terminate the line in a network that would absorb all modes to eliminate ringing.
If I simply take the [Z] matrix at face value and create a network with all the Rij terms it doesn't properly terminate the line.
How is the [Z] matrix to be interpreted? What is the equation that it is the solution to?
I've got textbooks by Visscher, Paul, and Dworsky, but none of them go beyond generating the [L] and [C] matrices to a practical application of terminating the line for all modes. Any hints are appreciated!
kind regards,
--
Rick Walker
I've written a classic FDM simulator on a square grid. I'm using a simple relaxation equation to solve for the E field for an arbitrary set of conductors, and then I do a contour integral around each conductor to get the charge on each conductor. I do this setting each conductor to 1.0 volt and all the others to 0.0. I've compared my results to the literature and I think I correctly have an approximate Maxwell capacitance matrix [C0] for vacuum and another [CC] with included dielectrics.
The literature says that [L]=MU*E0*inv[C0] and that [Z] is given by sqrt(MU*E0*inv[C0]*inv[CC]).
I'm putting the upper diagonal terms for L and C into the Ngspice CPL transmission line model. I was hoping to terminate the line in a network that would absorb all modes to eliminate ringing.
If I simply take the [Z] matrix at face value and create a network with all the Rij terms it doesn't properly terminate the line.
How is the [Z] matrix to be interpreted? What is the equation that it is the solution to?
I've got textbooks by Visscher, Paul, and Dworsky, but none of them go beyond generating the [L] and [C] matrices to a practical application of terminating the line for all modes. Any hints are appreciated!
kind regards,
--
Rick Walker