Figure 1. Transmission Line With Input and Load Impedances
Abstract: A new equivalent circuit for Zin of
an arbitrarily terminated transmission
line is presented, one which
employs only lumped impedances and
short and open line stubs in
series‐parallel combination. The new picture
readily illustrates concepts of line
matching and impedance inversion at quarter‐wave frequencies, and also offers insights into transient and off‐resonance response.
Discussion: Tim Maloney of
Intel Corporation has devised a simple, intuitive, and useful
equivalent circuit for a transmission line using shorted and open
transmission line segments and submitted it for publication on this
site. In essence, his equivalent circuit transforms the transmission
line of Figure 1 above into the configuration of Figure 2 below. This
is a very useful equivalent circuit.
To read Tim's paper in pdf format,
click here.
Don't be scared by the look of the equations you see on the page. Tim
does an excellent job of simplifying their interpretation into an easy
to understand concept.
Figure 2.Equivalent Circuit for Transmission Line With Input and Load Impedances
Summary: Tim
Maloney's paper on an equivalent circuit for transmission lines is an
intuitive and very useful treatment of transmission lines. Many
engineers will find this equivalent circuit useful in their work.
Tim Maloney's paper:
- Novel Equivalent Circuit for Zin of an Arbitrarily Terminated Transmission Line
Timothy J. Maloney, Intel Corporation
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