A New Approach To Derive and Analyze Nonuniform Transmission Line Equations for Curvilinear Multiconductor Systems

Crosstalk and reflection for curvilinear conductors by utilizing a non-uniform transmission line approach

“…As derived earlier by these authors in [13], the nonuniform transmission line equations for a curvilinear conductor system are given by…”

“…The one is that all the conductors are infinitely long, straight and parallel to each other over ground plane [13]. For this canonical problem, the formulas given by (2) give the same expressions in [14] and [16].…”

“…The main purpose of this paper is to model and analyze crosstalk and reflection for multiconductor transmission lines with discontinuities such as bends and change of radii. The discussion will start from the formulation of nonuniform transmission lines for curvilinear multiconductor systems as these authors obtained in [13], in which nonuniform transmission line equations are derived by using scalar and vector potentials associated with boundary conditions. The approach in [13] is different from the conventional methods in the way that no intermediate parameters such as magnetic flux and electric charge are Manuscript needed and the line parameters can be obtained simultaneously.…”

“…The discussion will start from the formulation of nonuniform transmission lines for curvilinear multiconductor systems as these authors obtained in [13], in which nonuniform transmission line equations are derived by using scalar and vector potentials associated with boundary conditions. The approach in [13] is different from the conventional methods in the way that no intermediate parameters such as magnetic flux and electric charge are Manuscript needed and the line parameters can be obtained simultaneously. By using the formulation in [13], a system of two conductors with bend and different radii over ground plane is discussed in order to reveal the influences from the discontinuities on the line to the crosstalk and reflection.…”

“…The approach in [13] is different from the conventional methods in the way that no intermediate parameters such as magnetic flux and electric charge are Manuscript needed and the line parameters can be obtained simultaneously. By using the formulation in [13], a system of two conductors with bend and different radii over ground plane is discussed in order to reveal the influences from the discontinuities on the line to the crosstalk and reflection. Per-unit-length parameters for the line are obtained while the nonuniform transmission line equations are solved via chain matrix approach [14].…”