A Probabilistic Model for a Three-Conductor Transmission Line Driven by a Random Plane Wave Field

A probabilistic approach is applied for the characterization of susceptibility to external interference of a uniform, lossless, three-wire line (two signal- conductors running above a ground plane) with resistive loads. The external field is modeled as a plane wave with random parameters. For waves with random amplitude and polarization, the analytical expression of the probability density function of the current induced in one of the line loads is derived, under a low-frequency assumption. The shielding effect of each signal conductor is also explained analytically, and described from the probabilistic viewpoint. Approximate expressions for the estimation of expected values and dispersions are also derived. Statistical analysis is used to check the analytical results.