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Use forward and reflected power to calculate SWR

September 27, 2016 By Dan KB6NU 6 Comments

You can use a Bird 43 wattmeter to make forward and reflected power measurements and then calculate the SWR.
You can use a Bird 43 wattmeter to make forward and reflected power measurements and then calculate the SWR.

This morning, I got the following e-mail from a friend of mine who is a member of the University of Michigan Amateur Radio Club. He got a request from a researcher at the university, who wrote:

We put archival acoustic and motion sensing tags on marine mammals. The tags record for about a day and then release from the animals. A VHF transmitter (transmitting in the 220 MHz range) is built into the tag, along with the antenna. We then use directional antennas to ‘home in’ on the tag in the ocean for recovery and data offload.

I am looking for equipment on campus that I could use to tune the antennas I am making and would like to be able to measure things like standing wave ratio and  transmission frequency.

My friend wrote back:

Unfortunately 220 MHz is a band that isn’t very popular, so there aren’t as many “tools” available.  That means even if you find an HT or mobile unit that will transmit in that band, you won’t have very much luck finding an SWR meter for it. I think your best bet is an antenna analyzer. 

He then mentioned a couple of models that covered the 220 MHz band.

Next, he forwarded the e-mail exchange to me and another club member, asking for any guidance that we might be able to give. The first thing that occurred to me, of course, is question T7C08 from the Technician Class question pool. It asks, “What instrument other than an SWR meter could you use to determine if a feed line and antenna are properly matched?”

The answer is a directional wattmeter. By making both forward and reflected power measurements, you can calculate the SWR with the following equation:

vswr-equation

I suggested that they make these measurements with a Bird 43 wattmeter, with the appropriate plug-in. Bird even has an application note, “VSWR Measurements Using In-Line Power Meters” on how to do  this. This application note not only discusses the theory behind this equation, but also some of the practical aspects of making this measurement, including how the accuracy of a power meter affects the uncertainty of SWR measurement.

This sounds like a very interesting application, and I’m interested in finding out more about it. It’s a good example of how an amateur radio license could be of use to young people interested in pursuing a career  in science or technology, even if that career isn’t electrical engineering.

Related posts:

  1. 2015 General Class study guide: Section G4B – Test and monitoring equipment, two-tone test
  2. 2014 Tech study guide: SWR and antenna measurements
  3. 2020 Extra Class study guide: E4B – Measurement technique and limitations: instrument accuracy and performance limitations; probes; techniques to minimize errors; measurement of Q; instrument calibration; S parameters; vector network analyzers
  4. Extra Class question of the day: Effective radiated power

Filed Under: Antennas, Test Equipment Tagged With: SWR, wattmeter

Reader Interactions

Comments

  1. Dan KB6NU says

    September 28, 2016 at 9:09 am

    Jeff, WB4WXD, just e-mailed me with the following:

    Have them go to TK5EP’s website and make one of the circular SWR slide rules. (Click on the picture of the circular slide rule at the bottom of the page.) I have several and use them for swr and return loss/gain calculations.

    This looks really useful. I’ve just printed off one for myself.

    Reply
    • Bob, KG6AF says

      September 28, 2016 at 11:21 pm

      TK5EP mentions that he created the slide rule with a program called Galva, designed by F5BU. Here’s the link:

      http://www.f5bu.fr/wp/?page_id=13#Galva_EN

      The program is free for non-commercial use (well, technically it’s postcard-ware), and looks pretty cool.

      Reply
      • Dan KB6NU says

        September 29, 2016 at 9:06 am

        That does look like a cool program. Not only does it allow you to design circular slide rules like this, but also analog meter scales.

        Reply
  2. Dave New, N8SBE says

    September 28, 2016 at 1:15 pm

    Bird has an SWR nomograph. It’s included in their manuals, and available as a plastic-covered standalone. I have one around someplace, and you can get ones from Webster (they show up at all the local SE MI/OH hamfests.

    The Bird, though, may not be sensitive enough for fish tags, which are likely in the millwatt range. Kanga US is selling a milliwatt power meter kit, the W7ZOI:

    http://www.kangaus.com/content/w7zoi-power-meter

    SWR and power meters, though, won’t tell you what the mismatch is, in terms of complex impedance. If someone is trying to tune an antenna, it would be very helpful to know if it is capacitively or inductively reactive, or if it is only off by a resistive impedance, i.e. the antenna is resonant, but the feed point impedance is off. A resonant vertical monopole, for instance, is also never 50 ohms at resonance.

    A small, handheld analyzer that covers the 220 MHz band that shows +-Rx, in addition to magnitude of impedance would be really useful. In addition, network analyzers have their own continuous wave signal source, which may be handier than trying to arrange to put an SWR or power meter inline between the fish tag and the antenna, and then arrange for the fish tag to transmit continuously long enough to get a proper reading.

    Reply
    • Dan KB6NU says

      September 28, 2016 at 1:32 pm

      I was also wondering how much power these transmitters output. I was guessing that they’d be higher power than millwatts. Such low power transmitters would be very difficult to recover, I’d guess.

      Reply
  3. A Ham says

    October 13, 2018 at 9:13 pm

    http://www.f5bu.fr/wp/?page_id=13#Galva_EN

    This link tried to put a virus on my computer and did turn off my internet.
    After turning off the internet and back on it did ncome back.
    THAT IS SORRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    Reply

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