bob said:
Charlie
you need to explain you self on this. If they don't exist, then why do I get
a reading with my harmonic clip on showing values of 1st, 3rd, 5th etc?
I will try making the point in a slightly different way:
Harmonics are not some _separate_ physical thing running in the wire; rather you have _one_ thing: a voltage (or current) which changes in time. If you were to graph this voltage (or current) versus time, you would see the 'wiggle' of a waveform. In the ideal case for power distribution, this waveform is a pure sinusoid. However in the real world this waveform probably has a more complex shape.
Harmonic analysis can be used to describe this complex shape. In much the same way that moving 14 miles North-East can be described in terms of moving 10 miles North and 10 miles East, any waveform can be described as the sum of a number of sinusoids. You have only a _single_ waveform with a complicated shape, but you are describing it as the sum of several separate waveforms; just like taking a _single_ trip North-East but describing it as several trips in your 'basis' directions.
To the extent that you have _one_ waveform but are describing it as a sum of many, the basis waveforms are simply mathematical fiction.
However harmonics are very real in the following fashion: in the case of electrical power distribution, it is a very good approximation that the way a system responds to a complex waveform can be described by figuring out how it will respond to the basis sinusoids, and then adding up the responses.
So, for example, in the real world you have a voltage waveform that could be described as the sum of fundamental plus third harmonic. You figure out how the system draws current to 'pure' fundamental voltage, and how the system draws current to 'pure' third harmonic voltage, and add these two responses up, and you have a very good approximation to the net current drawn by the system. Still only one system, and one complicated voltage waveform, and one complicated current waveform. But you figured it out by thinking of the basis sinusoids.
To the extent that this approximation holds, you can actually think of the basis sinusoids as separate physical things in the wire.
You can measure the voltage waveform, and calculate the amplitude of the basis sinusoids that make up the real waveform. You can design systems to explicitly respond to one component but not others. Various components can cause problems on electrical systems. The mathematical 'fiction' of harmonic decomposition can be expressed in physical form, and thus take on physical meaning.
But you still only have one complex voltage or current waveform that is being 'broken down' in to the harmonics.
-Jon