COMPARISON OF ENERGY EFFICIENCY AND CO2 OF GASOLINE AND ELECTRIC VEHICLES – Citizens' Task Force on Wind Power - Maine

Many articles have been written about the comparison of the energy efficiency of gasoline and electric vehicles. Most such articles have various flaws. This article will avoid these flaws and will show, electric vehicles are only slightly more energy efficient than gasoline vehicles, on a source energy-to-wheel basis, which is the most rational way to make the comparison.

 

Many studies fail to use the lower heating value of the fuel, or fail to use the correct heating value of the fuel.

 

Many studies calculate meter-to-wheel efficiencies of electric vehicles of about 70%, which compare favorably with the tank-to-wheel efficiencies of gasoline vehicles of about 22%. Proponents of EVs say EVs are 70/22 = 3.2 times better. That is not even close to reality.

 

E10 has a source energy, which is reduced due to extraction, processing and transport, to become the primary energy fed to E10 vehicles. As a result, the energy fed to the tank has to be multiplied by 1.2639 to obtain source energy.

 

Electrical energy has a source energy, which is reduced due to extraction, processing and transport, to become the primary energy fed to power plants, which convert that energy into electricity. As a result, the energy fed to the meter has to be multiplied by 2.995 to obtain source energy.

 

After these factors are applied, the EV and E10 vehicles have source-to-wheel efficiencies of about 22.8% and 17.3%, respectively, i.e., EVs are just 22.8/17.3 = 1.31 times better.

 

Also, the CO2 emissions of an EV are about 62.30 x 1.323 = 82.44 lb, versus about 55.59 lb of an E10 vehicle, i.e., about 82.44/55.59 = 1.48 times greater.

 

The Source-to-Wheel Efficiency of a Gasoline Vehicle

 

Per US-EPA, the energy of the gasoline is allocated, in percentages, approximately as shown in Table 1.

http://www.fueleconomy.gov/feg/atv.shtml

 

Table 1

Combined

City

Highway

Engine

68.0

73.0

65.5

Parasitic

5.0

6.0

3.5

Drive train

5.5

4.5

5.5

Wind

10.0

4.0

15.5

Rolling

6.0

4.0

7.5

Braking

5.5

8.5

2.5

Total

100.0

100.0

100.0

 

At a steady velocity, on a level road, and with no wind from any direction, the propelling force of the engine offsets the external resisting forces acting on the vehicle, which are wind and rolling resistance.

 

Wind Resistance: The wind resistance of a medium-size vehicle was calculated using 0.5*c*A*d*V^2, where; c is drag coefficient, 0.32; A is cross-sectional area of vehicle, 2.600 m2; d is air density, 1.293 kg/m3, V is velocity, 104.607 km/h (65 mph). The wind resistance is 454 newton (101.389 lbf). See Table 2.

 

Table 2

 

 

Units

 

Units

Drag coefficient

c

0.32

 

 

 

Cross-section

A

2.600

m2

27.986

ft2

Air density

d

1.292

kg/m3

0.0807

lb/ft3

Speed

V

104.607

km/h

65

mph

Wind resistance

 

454

N

101.389

lbf

 

Rolling Resistance: The rolling resistance was calculated using m*g*f*cos (a), where; m is mass, 1250 kg; g is gravity, 9.807 m/s2; f is tire deformation, 0.01 m, a is 0.5 of tire radius, 0.2032 m. The cos (a) is about 1. The rolling resistance is 123 N (27.367 lbf).

 

Table 3

 

 

Units

 

Units

Vehicle mass

m

1250

kg

 

 

Gravity

g

9.807

m/s2

 

 

Tire deformation

f

0.01

m

 

 

0.5 of tire radius

a

0.2032

m

 

 

Rolling resistance

 

123

N

27.367

lbf

 

Wind + Rolling Resistance: The useful power to the wheels, in kW, was calculated using f, the total of wind and rolling resistance, 577 N (128.756 lbf); d, the distance travelled in one hour 104,607 m; J = N.m, the work done, 60,331,767; t, the time 3600 seconds; W = J/s = 16759, or 16.67 kW. See Table 4.

 

Table 4

 

 

Units

Wind + Rolling

f

577

N

Distance/h

d

104607

m

Work done

 

60,331,767

N.m = J

Time

t

3600

s

Watt

 

16759

W= J/s

Useful power

 

16.67

kW

 

The Fuel: The vehicle is assumed to have an EPA combined of 28 mpg, using E10, a mixture of 90% gasoline and 10% ethanol. Its higher heating value, HHV, is 126.98 MJ and its lower heating value is 118.28 MJ. In engines, the LHV must be used. See Tables 5 and 6.

 

Table 5

HHV

HHV

LHV

LHV

 

MJ/gal

MJ/gal

MJ/gal

MJ/gal

Gasoline

124340

131.18

116090

122.47

Ethanol

84530

89.18

76330

80.53

E10

120359

126.98

112114

118.28

 

http://www.straferight.com/forums/general-chit-chat/178951-ethanol-vs-gasoline.html

http://hydrogen.pnl.gov/tools/lower-and-higher-heating-values-fuels

https://en.wikipedia.org/wiki/Gasoline_gallon_equivalent

http://www.afdc.energy.gov/fuels/fuel_comparison_chart.pdf

 

Source-to-Wheel Efficiency: The tank-to-wheel efficiency is the useful power of Table 4 divided by the supplied power in Table 6.

 

Table 6

 

Units

E10, LHV

118.28

MJ/gal

EPA combined

28

 mpg

Steady speed

65

mph

Fuel

2.321

 gal/h

Energy

274.58

 MJ/h

Time

3600

 s

Supplied power

 76.27

 kW

Tank-to-wheel efficiency

0.219

 

Upstream factor*

1.2639

 

Source-to-wheel efficiency

0.173

 

* The well-to-tank upstream factor accounts for the energy used for exploration, extraction, processing and transport of the E10 fuel. For exploration and extraction mostly diesel is used, for processing mostly diesel, gas and electricity are used, and for transport mostly diesel is used. See Table 7. Gas and electricity have source factors of about 1.09 (from well-to-power plant) and 2.995 (from well/mine-to-meter), respectively.  Excluded is the embedded energy of all the infrastructures required to provide the US transportation system with various fuels. 

https://www.vcalc.com/wiki/MichaelBartmess/CO2+from+Diesel+Fuel

 

Table 7

E10

Gasoline

Diesel

 

 lb CO2/gal

lb CO2/gal

lb CO2/gal

Combustion

18.95

19.64

22.38

Extraction

2.00

2.00

2.00

Transport

0.25

0.25

0.25

Refining

2.50

2.50

2.50

Distribution

0.25

0.25

0.25

Total

23.95

24.64

27.38

Upstream factor

1.2639

1.2546

1.2234

 

http://www.cleanskies.org/wp-content/uploads/2011/06/staple_swisher.pdf

http://www.afteroilev.com/Pub/CO2_Emissions_from_Refining_Gasoline.pdf

http://energyoutlook.blogspot.com/2008/08/back-door-on-co2.html

http://www.reuters.com/article/2009/07/28/oil-cost-factbox-idUSLS12407420090728

http://www.accenture.com/SiteCollectionDocuments/PDF/MOD-019_CarbonAccountingPoV_083010_LR.pdf

 

The Source-to-Wheel Efficiency of an Electric Vehicle

 

The US economy was supplied with about 25,451.00 TWh of primary energy in 2013. About 40% of that energy, or 10,180.40 TWh, was supplied to the US electricity generating systems, which generated 4065.97 TWh of electricity, for a conversion rate of 0.399. The self-use was 161.54 TWh (about 3.97%), imports were 46.74 TWh, fed into grids was 3951.17 TWh, which reduced by transmission and distribution losses of 256.83 TWh (about 6.5%), resulted in 3694.34 TWh fed to meters. The ratio of primary energy divided by electricity to meters was 0.3629, the system efficiency. See Table 8.

https://en.wikipedia.org/wiki/Energy_in_the_United_States

 

Table 8

%

TWh

Primary energy

 

25451.00

Electrical fraction

 

0.40

Electrical primary energy

 

10180.40

Electricity generation

 

4065.97

Conversion factor

 

0.399

Self-use

3.97

161.54

Imports

 

46.74

To grids

 

3951.17

T&D

6.50

256.83

To electric meters

 

3694.34

System efficiency, PE basis

 

0.3629

Upstream factor*

8.00

0.9200

System efficiency, SE basis

 

0.3339

 

 

 

Electric Vehicle

 

 

Inverter AC to DC

 

0.950

Battery and charger

 

0.800

Motor and drivetrain

 

0.900

Meter-to-wheel

 

0.684

Source-to-wheel

 

0.228

* The upstream factor accounts for the energy used for exploration, extraction, processing and transport of the various fuels to power plants. For exploration and extraction mostly diesel is used, for processing mostly diesel, gas and electricity are used, and for transport mostly diesel is used. See Table 7. Gas and electricity have source factors of about 1.09 (from well-to-power plant) and 2.995 (from well/mine-to-meter), respectively. Excluded is the embedded energy of all the infrastructures required to provide the US electricity system with various fuels.

 

CO2 Emissions of Gasoline Vehicles: Table 6 shows driving at a steady 65 mph for one hour uses 2.321 gallon of E10, which, according to Table 7, results in emissions of 23.95 x 2.321 = 55.59 lb CO2, on a source energy basis. See table 10.

 

CO2 Emissions of Electric vehicles: Based on the EV using 0.32 kWh/mile and traveling at a steady 65 mph for one hour, it uses 20.8 kWh. According to Table 8, the US electricity generating system efficiency is 0.3339, on a source energy basis. The EV source energy is 20.8/0.3339 = 62.30 kWh. See table 10.

 

The US grid CO2 was about 2053 million metric ton, on a primary energy basis, or 4888.17 billion lb, on a source energy basis.  The US generation to meters was 3694.34 TWh, for an emission intensity of 1.323 lb CO2/kWh. See table 10.

 

The EV emissions are 62.30 x 1.323 = 82.44 lb CO2, about 82.44/55.59 = 1.48 times greater than of a gasoline vehicle. See Table 10.

https://www.eia.gov/todayinenergy/detail.php?id=18511

 

Table 10

E10 vehicle

Units

Speed

65

mpg

Fuel

2.321

gallon

CO2, incl. upstream

 23.95

lb CO2/gal

E10 CO2; SE basis

55.59

lb CO2

 

 

 

 

EV

 

EV use

0.32

kWh/mile

Speed

65

mph

EV use for 1 hour

 20.8

kWh

System Efficiency, SE basis

0.3339

 

EV source energy

62.30

kWh

 

 

 

US grid CO2, PE basis

2053

million metric ton

Conversion factor

 2204.62

lb/metric ton

US grid CO2, PE basis

4526.08

billion lb

Upstream factor

1.08

 

US grid CO2 SE basis

4888.17

billion lb

US generation to meters

 3694.34

TWh

US grid CO2 intensity, SE basis

1.323

lb CO2/kWh

EV CO2; SE basis

82.44

lb CO2

 

http://www.windtaskforce.org/m/blogpost?id=4401701%3ABlogPost%3A99160