On Dec 28, 11:54 am, Tim Wescott <t...@seemywebsite.com> wrote:
> On Fri, 28 Dec 2007 09:34:24 -0800, HC wrote:
> > Hey, all, I'm trying to check something and I've come up with a number
> > and I'm not sure I've done my math right. What I want to do is figure
> > out how much a device is costing me to operate in electricity charges.
> > I'm not sure I'm doing the wattage calculations correctly (I'm not
> > well-versed with AC calculations and have only light hobbyist experience
> > with DC), and I'm not sure I'm going from the wattage to the kW hours
> > correctly.
>
> > I have a device that runs on 120v AC. I put a DMM in line with one of
> > the two conductors in the power cord and I measure 16.56 mA (my DMM has
> > a setting for measuring AC amps and that's what I used). I then used
> > the same DMM to measure AC voltage at the receptacle and I measured
> > 124.8 VAC. I'm not sure if this DMM does true RMS (as I see that some
> > manufacturers advertise that their meters measure "true RMS") and the
> > manual does not say yes or no.
>
> > Now, I take the amps times voltage to get watts so: 0.01656 x 124.8 and
> > I get 2.066688 watts. I get kWh by 2.066688 x 24 hours / 1000 (the
> > device is on constantly) and I get roughly 0.0496 kWh per day. Say the
> > billing cycle is for 31 days so that's 0.0496 x 31 = 1.5376 kWh each
> > month and all I have to do is multiply that by my cost per kWh and I
> > should be good (for simplicity, say it costs me 10 cents per kWh it's 15
> > cents a month).
>
> > Did I do all that right or am I mucking up the math or the wattage
> > calculation for AC?
>
> > Thanks in advance.
>
> > --HC
>
> That is right as far as it goes, and assuming that your meter reads
> correctly in RMS it will give you an upper bound.
>
> The "real" number depends on the power factor of the device, which is
> probably less than 1. AC power can be "reactive", where the current is
> out of phase with the voltage, and the energy, instead of flowing into
> your device, is just swishing in and out at 120Hz (or 100, depending on
> where you live).
>
> Unless the answer is critical, though, your number is probably more than
> good enough.
>
> --
> Tim Wescott
> Control systems and communications
consultinghttp://www.wescottdesign.com>
> Need to learn how to apply control theory in your embedded system?
> "Applied Control Theory for Embedded Systems" by Tim Wescott
> Elsevier/Newnes,http://www.wescottdesign.com/actfes/actfes.html
Hey, Tim, thank you for your response. It's not critical, I just
wanted to know. The device is a television that is plugged in but not
turned on. Somewhere I once read that the power consumption of
televisions that are plugged in but not turned on is still significant
(as far as the whole United States is concerned). I have always
wanted to verify that by testing my own TV and finally have gotten
around to testing it. Then I thought it would be fun to check how
much it costs me in terms of money, hence what I've done here. FWIW,
the Hz is 60.
If the number I've come up with is 0.0496 kWh per day and if working
the number in a more precise way as you have alluded to (considering
power factor and whether or not the device is subject to the
reactivity of AC) would only get me maybe 10% more precision then my
number is fine for my purposes. I only need it to be close. If my
method gets me 0.0496 and the best way gets 0.0495 then I don't need
to do it the best way. If my way gets 0.0496 kWh/day and the best way
gets me a number like 2.6 kWh/day then I would want to do it the
"best" way because the inaccuracy is so great that it voids the
purpose of me doing the testing at all.
Thanks again for your reply.
--HC