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Web Updated;

15/05/2024

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LC Match

This page describes the process and build of a LC matching network to facilitate the correct integration between a typical Dipole Aerial and a 50 Ohm feedline, normally Coax.

The Dipole in its "Flat" leg configuration generally presents between 70 and 75 Ohms impedance at the feed point. Bending the two ends of the dipole elements downwards towards 45 degrees often decreases the impedance to around 50 Ohms but compromises take off angles. Generally most dipoles are fed using Coax, I accept that you can feed a dipole with ladder line (or window line as it is sometimes referred) but the ladder lines are generally manufactured in either 300 Ohm or 450 Ohm and also provide a feed point mismatch, I would argue that a "dipole" fed with ladder or twin feeder line is a doublet and not a dipole but that is a topic for another page!
If you are interested in building and exploring a Doublet, check out my Mighty "Doublet" page.

So, generally if a Dipole is being constructed and fed through a length of Coax rated at 50 Ohms the maximum Vswr that can be obtained is 1:1.5, Because 75 Ohms divided by 50 Ohms = 1.5.
Generally the actual impedance measured back at the radio (End of the Coax Feeder) will be less that measured at the antenna due to feedline loss which decreases Vswr and increases Return Loss. 
So, If we wish to build / operate a Dipole and we have a 75 Ohm to 50 Ohm mismatch, how do we do it?

One way is to create a LC circuit to either load the antenna with inductance or add capacitance to match the impedance to 50 Ohms. This is done with a circuit called an LC circuit.

The configuration can be Hi-Z to Lo-Z or configured Lo-Z to Hi-Z, in fact if the circuit is constructed in such a way that provides identical connections as required to each side, the same circuit can be used in reverse to achieve the alternative effect.  See diagram below courtesy of Ham Radio Secrets. (www.hamradiosecrets.com) 


It is important to note that this is a set and forget circuit specific to one frequency range, IE. this antenna was made for the 20m band with a designed centre frequency of 14.175 MHz, these values will not work on other bands. Calculators are freely available on the internet.

 

Homebrew Antenna Tuner - A Best of Breed Version The circuit diagram on the left (page link above) shows a basic LC circuit (LC-Circuit Wikipedia) with a coil (Inductor) and Variable Capacitor.
There are  a number of purposes for using the LC circuit but here we are concerned with impedance matching in an AC circuit. Here, referring to the diagram (left) our example shows the Radio and coax (50 Ohms) on the lower impedance side and the antenna (75 Ohms) being on the higher impedance side. The setting of the variable capacitor (VC) changes the impedance match and reduces the higher Impedance to match the 50 ohms.

Calculators are available for use on the internet but generally for 75 Ohm to 50 Ohm I have used values around 105 pF and 390-400 nH.

Generally, I make up a non inductive load in resistors to the value of 75 Ohms and place this in parallel across the Load point in the circuit. Shown left as the two circles at the top right and bottom right of the diagram. Then place an air wound inductor (I use enamelled copper wire) in series from the centre wire of the coax to one of the dipole connection points.

Using a VNA or antenna analyser ( I have a RIGEXPERT AA55 Zoom but for this I used the MFJ 259B) measure the Ohms impedance and tune in the best result using the VC. Some minor tuning may be required when erecting the circuit with the aerial as the 75 Ohm resister load cannot reproduce the complexities of an aerial in its free space in a world environment but it will get you to a close starting point.

Selecting a pair of 150 Ohm resistors. 
A pair of resistors in parallel often
produce a more accurate load than a 
single resistor. This makes up the 
necessary 75 Ohm Load to mimic the
dipole impedance when connected.
(Remove the resistors when connecting
to the aerial legs)
DO NOT TRANSMIT on the radio with
these resistors connected.

Here was the Impedance measure
Using my Trusty Crenova Multi Meter.
As you can see, it was close enough
at 74.6 Ohms to get in the ball park.

Here you can see the construction,
showing the coil connected to the
ctr pin of the coax plug SO239, the
other end of the coil connects to the
stator of the VC, then connects to
one of the dipole connection Lugs.
The shield (grnd) from the SO239
is connected to the Rotor (Ground)
of the VC and common connection
to the other dipole connection lug. 

This is the reading from the MFJ259B
connected to the SO239 of the box,
I altered the VC until I got a close
reading. In this case it was:-
Rs=50 Ohms
Rx=7
VSWR=1: 1.1
This shows that the circuit is
matching the 75 ohm Load to the
expected 50 Ohm feed point.

A simple way to finish the box is by
printing out on paper using my Laser
printer and laminated with my A4
plastic laminator. Leave a good border
around the edge for water protection &
then I gave the surface two coats of
clear coat.

A couple of additional notes specific to the variable capacitor, Before you install the VC use a continuity check on a multi-meter and whilst slowly rotating the spindle (rotor) on the capacitor place one probe of the meter on the chassis of the capacitor and the other probe on the stator connection. The meter should not show "0" or bleep, move the spindle on the capacitor slowly from one side to its full extent and check that the meter shows no short contact. (closed circuit) This is very important because you must not have any of the plates touching making a DC short between the two parts of the capacitor. If you do get an indication of a short the capacitor needs careful visual checking to examine where the two plates are touching. If they cannot be corrected by very gentle bending then the capacitor can not be used.

Also, when wiring up the capacitor it is important that the spindle and chassis of the capacitor is wired to the Ground side of the SO239, this is especially important when using a metal chassis or box to house the project in or where (in a different aspect) the rotary spindle protrudes the chassis and could be touched by the operator during TX transmit. 

If you have a VNA or antenna analyser like the MFJ you should be able to see the changes when you rotate the spindle. I didn't need to place a knob on the end of the spindle but it did make alteration much easier.

The capacitor had a range of 10 to 300 pF and you can see that it is nicely configured mid range which gives plenty of adjustment +/-

Actual testing and configuration in the real world!

The antenna was erected using a dipole cut for 20m band with a centre freq of 14.175 MHz. There was a minor adjustment required to increase the amount of capacitance by 5mm as measured at the outside of the rotor shown by the brown insulation material. The match worked great and measurements taken on site with my AA55 Zoom showed a good return loss X=5 and Rs=49.7 Ohms and a Vswr of 1:1.2
The antenna was built for a QRP Chinese radio which outputs 5 watts max, so the capacitor did not have to have very wide plate spacing. Consideration on the air gap spacing between the capacitor plates should be made before designing and constructing this type of circuit for higher power Radios.