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MPG vs Time really the best gauge of avg MPG?

Discussion in 'Gen 3 Prius Main Forum' started by cantgoback, Jul 7, 2009.

  1. cantgoback

    cantgoback Junior Member

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    Sorry if this idea has been considered before.... and if it is too nerdy for some.

    The 1-minute (or 5-minute) MPG log in my opinion is not an accurate method to gauge how well overall MPG is when not driving at a constant speed, because the formula for computing average or overall MPG is a function of segmented MPG over constant DISTANCE not TIME when the speed is varying (sorry if too technical). For example, if you spend 10 minutes driving 30mph getting say 100mpg (5miles, 0.05gal), and then 1 minute driving 60mph getting say 20mpg (1mile, 0.05gal), then the total mpg is 60mpg (6miles, 0.1gal) -- someone please check my math. But on the 1-min consumption graph you would see 10 bars at 100mpg, and one (skinny little) bar at the end at 20mpg. So you would think the overall mileage should be close to 100mpg, but then your avg computer says it's closer to 50mpg. Frustrating?

    Overall MPG = 2*(MPG1 * MPG2)/(MPG1 + MPG2) for same distance traveled between two segments.

    Suppose the 1-min consumption graph were instead a "1-mile consumption" graph. Then using the above example, you would see 5 bars at 100mpg, and one bar at 20mpg. Now the 20 mpg seems a bit weightier than before.

    Note that in order to double the MPG over a distance, one must obtain infinite MPG (or use no gas) over the same distance (you can verify this with the formula above). So approximating, the last 100mpg mile and the 20mpg mile average to less than 40mpg, say 35mpg. Then two bars of 100mpg averaged with two bars at 35mpg gives roughly 50mpg. Now there are equivalent of 4 bars at 50mpg and 2 bars at 100. So the predicted result should be slightly above 50mpg, which is more indicative of the actual average of 60mpg.

    I'm not sure if I've convinced anyone here with this example, but I know for myself I'm always averaging mpg over distance, not time. Having said that, I am in no way ungrateful for the 1-min (5-min) consumption graph. It is actually one of my favorite features of the Prii and I use it often to gauge my MPG. What can I say--I'm a geek.
     
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  2. donee

    donee New Member

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    Hi cantgo...,

    Yep, your right, and this was discussed a while ago. Its one of the things that Toyota missed our comments on, or did not implement for some reason.
     
  3. wvgasguy

    wvgasguy New Member

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    In my TCH I used the 1 minute log as a current reminder of how I was doing. It was an easy visual to see if I was keeping my average up to where I thought I should be for that particular piece of road. I often would find myself with mu foot resting on the gas pedal and it was a reminder in the early days to lift it off
     
  4. morpheusx

    morpheusx Professor Chaos

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    It would be nice if it broke it down as a Last 1 mile driven average, last 5 miles, 10, 20, 25 instead of the 5 minute bars.
     
  5. bwilson4web

    bwilson4web BMW i3 and Model 3

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    Well put as I'd missed the earlier discussion:
    There are a few time-based events, such as vehicle warm-up, that the time based graph has been useful. I also saw its use when after doing an extended EV by forcing the engine off seeing the impact of the traction battery recharge. The 1 and 5 minute graphs have some utility for monitoring time-based events but only as it applies to vehicle overall efficiency.
    One of the tricks with my NHW11 and shared by the NHW20 exploits the 5-minute graph using the individual samples collected at speeds over 6 mph. If the earlier vehicle is kept below 6 mph for all but one sample, that single sample will be the reported MPG for the whole five minutes:
    [​IMG]
    One of the Edmunds testers used this to play a trick on his co-workers. Something about becoming 'a mileage supreme diety.'
    Welcome to the club. If you'd like to see some of the geekier Prius folks going back to 2001, take a look at the Yahoogroup, "Prius Technical Stuff." At least wander through the attached files and photos and message logs.

    Bob Wilson
     
  6. fuzzy1

    fuzzy1 Senior Member

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    If anyone needed to visually average the graphed display to estimate average fuel consumption, they would also need the vertical axis to display GPM (or G/100Mi, or l/100km), rather than MPG.

    But America overall is not sufficiently adept at math to use G/100Mi, so switching the horizontal axis from time to distance isn't going to work either.
     
  7. qbee42

    qbee42 My other car is a boat

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    The Prius method of displaying mpg over time is equally as valid as any other method. The question is whether it is useful to the average user. Most drivers won't understand what they are seeing, and will mentally weight each time slot the same. In an earlier thread we talked about a 3D display that showed mileage as a function of time and miles.

    Tom
     
  8. fred garvin

    fred garvin New Member

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    i think the one minute is better than the five minutes before, and i agree with the mathematical point about time vs distance

    i had in the past thought of the possibility of the weighting to be displayed on the bar - such as the # of miles in that 5 minute segment, or perhaps a bar within the bar showing the "heft" of each segment. That kind of becomes non-op given the one minute segments, because at 60 MPHs you only get 1 mile, so many of the segments would be fractions of miles and it would maybe get too busy.

    the ultimate would be MPGs in one mile segments as suggested above - this would totally cancel out the big fat zero you get from sitting in a jam (because you travelled zero miles and even though you used no gas zero over zero in this case is zero)
     
  9. cantgoback

    cantgoback Junior Member

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    From reading some of your posts, I gained another idea. What if the consumption display were to graph MPG vs 0.1 gallons of gas (i.e. "0.1-gal consumption" as opposed to "1-min consumption")? Then the average MPG is calculated as a direct average of the individual segments. This would be the most convenient method to gauge how segmented MPG affects overall MPG.

    The math is here:
    MPG1 = D1 / G, where D1 is distance traveled from using G gallons of gas,
    MPG2 = D2 / G, D2 is distance from G gallons
    Then total MPG over D1 and D2 is:
    MPG = (D1+D2)/2G = 1/2 (MPG1 + MPG2). QED!