Single Stub Matching of a Transmission Line - Maple Programming Help

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Single Stub Matching of a Transmission Line

Introduction

A single short circuited transmission line is a distance d from the load and of length d.

Given a characteristic impedance of Z0 and a load with complex impedance ZL, this application will calculate the values of d and l.

 

• 

The real part of the impedance at the stub location must match the transmission line characteristic impedance

• 

The imaginary part of the impedance at the stub location must equal 0

 

Reference:

Iskander, Magdi F., Electromagnetic Fields and Waves, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1992.

 

restart:assumed,real,l,real

Parameters

Resistances

Z__050 ohms:

Z__L35 47.5 Iohms:

Equations

Wavelength and propagation constant

λ1m:

β2π/λ:

circuitZ__0cosβd+IZ__LsinβdZ__Lcosβd+IZ__0sinβdIcotβl:

Stub Location

The location and length of the stub are

fsolveRecircuit=1, Imcircuit=0,l=0.1 m,d=0.1 m

d~=0.05894468942m,l~=0.1111779245m

(4.1)