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possible FAQ: how is mpge calculated?

Discussion in 'Gen 1 Prius Plug-in 2012-2015' started by ntucker, Feb 13, 2013.

  1. ntucker

    ntucker Junior Member

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    I've always been a bit curious about this number. To do a proper conversion, you need to know how much my electricity costs per kilowatt hour and how much gas costs per gallon, both of which vary wildly. Does the car simply have some average numbers baked into the software, or is it somehow dynamic (e.g. receiving data over an RDS feed to update its internal conversion calculation periodically)? If the numbers are fixed, does anyone know what numbers they used?
     
  2. 3PriusMike

    3PriusMike Prius owner since 2000, Tesla M3 2018

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    The car nevers does an MPGe calculation. It only does mpg when in HV mode and kwh consumed during EV mode.

    To do MPGe you do not use the price but use the energy content...

    MPGe = total miles / total energy
    You can get from wikipedia.

    Mike
     
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  3. ntucker

    ntucker Junior Member

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    Ah, I was thinking MPGe was supposed to indicate cost equivalency. As in, you went X miles and used $Y in electricity, which would have bought you Z gallons of gas, so you got X/Z MPG equivalent. It makes much more sense when you just compare the energy content. Thanks.
     
  4. priuskitty

    priuskitty PIP FAN

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    33.7 KWH = 1 GALLON
     
  5. ntucker

    ntucker Junior Member

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    Random tangent, but this reminds me of the interesting observation made in this XKCD post: gas mileage is actually a unit of area. Droppings . Now when I drive, I picture myself leaving a little thread of gasoline everywhere I go. :)
     
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  6. ukr2

    ukr2 Senior Member

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    33.7 KWH = 1 GALLON and PIP kWh = 85% of Kill A Watt meter kWh due to charging loss.

    Then wouldn't MPGe = Total Miles /[Pump Gallons + (.85 * Kill A Watt kWh/33.7)] ?
    Seems correct.


    However, drinnovation, who helped setup the formulas of the MPG Spreadsheet, is using
    MPGe = Miles*33.7/(Gallons*33.7+1.15*kWh)

    Are the formulas equivalent?


    Miles*33.7/(Gallons*33.7+1.15*kWh)
    Miles/(Gallons*33.7+1.15*kWh)/33.7
    Miles/[(Gallons*33.7)/33.7 + (1.15*kWh)/33.7]
    Miles/[Gallons+ (1.15*kWh/33.7)]

    DR.Innovation, I need your help !!!
     
  7. JamesBurke

    JamesBurke Senior Member

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    MPGe = Miles*33.7/(Gallons*33.7+1.15*kWh) ??

    So 500 miles and 10 gallons and 3 kW gets you 49.5 ?? Less than 500/10=50mpg?? Then why plug in?

    Personally I think the whole MPGe is bogas.
     
  8. john1701a

    john1701a Prius Guru

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    Only plugging in once per tank, as with your example, is basically not plugging in.

    Far more realistically is plugging in every night. The result is both higher MPG and higher MPGe.
     
  9. RBooker

    RBooker Member

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    Consider the cost of the relative efficiencies of the two fuels.
    In my area gas cost $3.90/gallon & a kWh of electricity cost 12 cents.
    33.7 kWH = 1 gallon of gas
    To account for charging inefficiency 33.7 kWh x 1.15= 40.7 kWh
    Cost of gallon equivalent kWh from wall plug $4.88

    Consider the relative efficiency of the two fuels
    PIP
    Gas 41.5 miles using 10 gallons
    41.5 mpg

    Electric 912 miles using 265 kWh
    Account for 15% charging inefficiency 304.8 kWh (300 x 1.15)
    Convert to gallon equivalent 304.8/33.7 = 9
    MPGe = 912/9 = 101.33
    It takes 2.44 gallons of gas to drive 101.33 miles at a cost of $9.51

    Cost per 100 miles
    Gas $9.4/100 miles
    KWh $4.82/100 miles
     
  10. john1701a

    john1701a Prius Guru

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    Breaking out cost like that doesn't work with a plug-in hybrid, since there's so much blending... which complicates the understanding of MPGe.

    Here's my real-world data:

    17,194 miles

    221.7 gallons

    1,578.3 kWh (including charging loss)

    (((221.7*3.9)+(1578.3*0.12))/17194)*100 = $6.13 / 100 miles

    That's overall, of course, which doesen't necessarily reflect what was actually paid. It just gives an idea of the efficiency itself.
     
  11. RBooker

    RBooker Member

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    You are correct! However given JamesBurke's comment my goal was to demonstrate the relative cost/efficiency advantages of using kWh as opposed to gas.