FollowupID: 462327 Submitted:
Friday, Nov 03, 2006 at 08:09
Mike Harding posted:
RMS (Root Mean Square) is a mathematical (essentially statistical) concept not an electrical one. It is possible to derive an RMS value for any quantity which changes or varies. ie One could calculate the RMS value of a set of different sized baked bean cans on a supermarket shelf and arrive at an RMS baked bean can – let’s see you measure _that_ with an oscilloscope :)
Do not confuse the common use of RMS where it refers to the household AC mains, there is no requirement for any value in the set to have a negative value in order for an RMS value to be calculated however RMS _will_ handle negative values (which an averaging function won’t - not very well in the case of electricity anyway).
Any signal which changes is an AC signal there is no need for it to have a negative component – indeed, how do we measure “negative”? Such a measurement requires we set a zero baseline and we may choose to do that with any value – so if I have a 12V system and decide 6V is my zero then a value of +2V will be 8V and –2V will be 4V and my system can supply maximum voltages of +6V and –6V (if you see what I mean :) I suspect you are assuming negative voltages are referenced to earth (ie the planet) but that is usually not the case (although the mains supply in Oz is) and especially not with a free standing generator – what is your reference point for positive and negative with a gen? If you measure between earth and the gen’s active output you will not obtain any reading.
In regard to the battery charging; what you say is partly correct. The battery will charge to the peak voltage *eventually*. The issue occurs because the charging source (the 100Hz) is not there all the time, ie. it’s not DC, so there are gaps of time between the peaks. Consider a much worse case: suppose we have a charging source of 16V but it is a pulsed waveform of 5% duty cycle ie. we get 16V for 5 seconds and 0V for 95 seconds repeated ad infinitum. If you connect a capacitor across the charging voltage and measure the voltage you will read 16V (after a few pulses) but any calculations you make in regard to the time required to charge the battery will be out by a factor of 20 (or maybe 19? :) In reality with a full wave rectified 100Hz source it probably won’t be too far out but you would need to analyse it to be sure – these things can be _very_ deceptive.
The following links provide useful information in regard to RMS, the Wiki one is pretty mathematical but the other looks at the electrical application rather more.
en.wikipedia.org/wiki/Root_mean_square
www.ece.unb.ca/tervo/ee2791/vrms.htm
iirc when I looked at the DC output of my GMC gen on my scope it had a peak, unloaded, value of about 22V dropping to around 18V under load – use caution when charging batteries from these outlets, don’t leave them on charge too long - I don’t know that Honda et al are a lot better, DC wise, are they? I did an analysis of both the AC and DC outputs of my gen and posted it to this site a couple of years ago, if you can find it!
Mike Harding
mike_harding@fastmail.fm