Jim, Ok on that, I am a retired tradesman in the electrical industry, and
looking at why an antenna radiates best when reactance is zero leaving only
a resistance load (not taking radiation angle into account),
would seem to be because the voltage and current across the radiated load
are in phase providing maximum power dissipation, whereas any added
reactance with phase shift would diminish that ,
 as well as change the impedance.

I understand there are other factors in efficient power transfer, but I am
confident above is part of the picture. As you know it's the reason
capacitors were used in fluorescent light fittings with inductive ballasts
 for power factor correction . On my Delta loop it is great on 80m, but on
40m and up I switch in a 100pF capacitor  to null the inductive reactance I
see on the antenna there, reducing swr from 5.1:1 to 1.7:1
at the feedpoint.

It should be better, not needing that, but not all antennas follow a
resonant trend through the bands. Due to compromises etc working around
buildings and structures to do the best with what you have.

Adrian ... vk4tux

-----Original Message-----
From: elecraft-boun...@mailman.qth.net
[mailto:elecraft-boun...@mailman.qth.net] On Behalf Of Jim Brown
Sent: Thursday, 5 March 2020 4:45 PM
To: elecraft@mailman.qth.net
Subject: [Elecraft] Power Factor

On 3/4/2020 10:15 PM, Jim Brown wrote:
> Power factor is a quantity associated with mains power (and similar 
> power distribution systems). In the old days (when I went through EE), 
> it was, indeed, related to the phase angle.

I meant to add that power factor now includes the triplen harmonics
resulting from non-sinusoidal current with power systems that are mostly
electronic loads. Current flows mostly in short peaks at the positive and
negative peaks of the mains waveform to charge the filter capacitors in the
power supply; as a result, the voltage waveform is rounded off and the
current is rich in harmonics of the mains frequency, 50 or 60 Hz.

Nearly all power distribution uses 3-phase wiring, and "triplen" 
harmonics (those whose number is divisible by 3) add in the neutral, no
matter how well balanced the load between phases. This turned into a major
problem roughly 50 years ago, when a very high fraction of current in these
systems was delivered to electronic loads, everything from fluorescent
lights to computers to anything with an AC to DC power supply. The most
dangerous side effect is that triplen currents in the neutral of 3-phase
systems can be almost twice the current in the phases, which can cause
destructive failures in older systems, where the neutral used conductors and
hardware rated for half the current in the phases! The movie "The Flaming
Inferno" is based on the true story of a massive fire in a high rise that
was started by that neutral current, spread through the building in vertical
"riser" spaces, and that was fueled by the insulation on the cables
themselves! Sometime in the last century, a major TV station almost went off
the air because excessive heating of their power distribution was close to
catching on fire! I attended an SBE (Society of Broadcast Engineers) meeting
led by the consultant who worked with the station engineers on the problem.

MAJOR changes were made to standards for mains wiring after this event,
including the rating of transformers and neutral hardware to handle the peak
currents and the harmonic content, conduit requirements for the wiring, and
requirements for insulation on the wiring that does not contribute to flame
spread and that does not produce toxic fumes.

BTW -- the triplen harmonics also appear on equipment ground, and are the
reason why we mostly hear power line noise in the audio as "buzz" 
(triplen harmonics of 50/60 Hz) rather than "hum" (pure 50/60 Hz).

There's a not-too-technical discussion of all of this written for hams in
http://k9yc.com/GroundingAndAudio.pdf
and a more detailed one written for sound and video professionals in
http://k9yc.com/SurgeXPowerGround.pdf

73, Jim K9YC
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