How to connect the feeder cable to an antenna. Transmission line transformers and baluns.
Most used antenna class for all radio communications is the dipole. Since it's called a dipole, it has two connection points. Therefore it is suited for balanced signals. The antenna can be connected to a receiver using a twin lead cable. But in this case the receiver must have balanced input and similar impedance with the antenna. But the most used type of cable is the coaxial type, which is unbalanced and has a different impedance too. Let's see what are the basic types of connections between the antenna and the feeder cable.
No balun needed
If you use a dipole antenna and you want to connect it to an older FM receiver which has 200-300 ohms impedance and balanced input, you can use twin lead cable and wire the antenna directly to the receiver. As opposed to coaxial cable, the twin lead cable has no shielding and the signal can be affected by other RF sources. Another option would be to use a coaxial cable with baluns at both ends. The baluns add signal loss, therefore a receiving amplifier may be a good idea.The other situation when you don't have to use a balun is when you connect an unbalanced antenna to an unbalanced signal input (or output). An example of unbalanced antenna is the popular whip antenna, to which you can connect the centre copper wire of a coaxial cable. The cable shield would then connect to the antenna ground. The disadvantage is that there is not always a perfect impedance matching, because quarter wave whip antenna impedance varies with frequency (it is lowest at resonant frequency).
Here are the two situations where you don't need a balun. On the left is the twin lead cable connected to a dipole (both have 200-300 ohms impedance) and on the right is the coaxial cable connected to a whip antenna or similar type (where both have 50-75 ohms impedance).
No balun is needed |
4:1 Balun
This is the most common setup where you connect the poles of a dipole to a coaxial cable. They can't be connected directly because one is balanced and the other in unbalanced and there is also impedance mismatch. The balun is built using a half wavelength piece of coaxial cable. The cable length is however proportionally shorter than 1/2 wavelength (see below how to calculate length for frequency).4:1 balun with half-wavelength cable |
1:1 Baluns
In this case, input impedance equals the output impedance. The balun matches a balanced signal to an unbalanced one. While dipoles don't usually have 75 ohms impedance, this kind of balun can be used for arrays of 4 dipole antennas that are wired in parallel using twin lead cable.Types of 1:1 baluns |
Wire length
The baluns above use pieces of coaxial cable that are 1/4, 1/2 and 3/4 wavelength. It should be noted that the length of a coaxial wire is the shield length.Length of coaxial cable |
The wavelength, in millimeters, can be calculated by dividing the speed of light (in km/s) by frequency (in MHz). Then, you may apply a correction factor, which for coaxial cable is 0.66 (proportional to the dielectric constant of the polyethylene insulator used at coaxial cables). The use of velocity factor is disputed (see experiments of John Huggings).
A practical example of calculation would be: let's assume we need the cable length for a receiving installation on channel 32 UHF. The center frequency is 562 MHz. Then, the wavelength is 300000/562 = 533.8 mm. Apply 0.66 velocity factor to this and you get 533.8 * 0.66 = 352.31 mm. Now 1/2 lambda length is 176 mm, 1/4 lambda length is 88 mm and 3/4 lambda length is 264 mm.
References
- M. Bășoiu, N. Neguț. Antene și montaje de recepție TV, 1989 (pg. 3-5). ISBN 973-31-0148-6.
- ARRL Inc. Baluns and Transmission-Line Transformers in The ARRL 2015 Handbook for Radio Communications, 2015, pg. 751, 766. ISBN 978-1-62595-020-8.
- Wikipedia contributors. "Balun." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 7 Apr. 2018. Web. 12 Apr. 2018.
- Wikipedia contributors. "Dipole antenna." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 5 Apr. 2018. Web. 12 Apr. 2018.
- Wikipedia contributors. "Whip antenna." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 26 Jan. 2018. Web. 12 Apr. 2018.
- Ian Poole, Radio-Electronics.com. Antenna Resonance & Bandwidth (accessed 12 Apr, 2018).
- John Huggings. Coax Velocity Factor in Baluns, Does it Matter? (accessed 12 Apr, 2018).
I am suspicious of the operability of the 1:1 balun circuit shown in the left figure.
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