1. Introduction
The first demonstration of a self-powered road vehicle was an electric vehicle (EV): in 1839 Sir William Grove invented and drove a small tractor that was powered by the electricity generated by a fuel cell. The internal combustion (IC) engine, which is a product of the late 19th century, overtook the electric motor as the power source of vehicles and ushered the modern era of the automobile. A contributing factor to the momentous development and market penetration of IC-powered vehicles (ICPVs) is the very large energy storage in relatively small and light tanks, which can be readily tapped to provide a long driving range to the ICPVs: a 60 L gasoline tank, weights 44.2 kg; stores 2052 MJ of chemical energy; and enables a mid-size car to have a range close to 700 km. Electric batteries with capacities of the same order of magnitude were not developed until the early 21st century. For this reason, only vehicles that operate with centrally generated electricity and are connected to the electric grid (intercity trains, subways, trams, etc.) have been in widespread use at the beginning of the 21st century.
Environmental concerns in the 21st century with the rapidly increasing CO
2 global emissions; the emissions of other combustion pollutants in urban areas; and the vastly improved battery technology have introduced the new era of electric, battery-powered vehicles. The relatively low price of electricity in most countries, governmental subsidies and tax incentives promote the substitution of ICPVs in favor of the new EVs [
1]. Marketing efforts by their manufacturers have also accelerated sales and the wider adoption of EVs. In the marketing efforts, EVs are portrayed as vehicles with very high energy efficiency that would significantly restrain the global consumption and dependence on energy; would alleviate the emissions of the greenhouse gases (GHGs) in the transportation sector; and would pave the way (or the highway) to sustainable development.
A great deal of the information on EVs appears in marketing and commercial publications that praise the energy and environmental advantages of EVs. Very few scientific and engineering studies have been published that document these marketing claims. Among the few scientific assessments of EVs, a recent study presented a methodology to estimate the energy use of EVs, based on data from an on-board portable laboratory [
2]. This methodology has the potential to establish needed benchmarks for the performance of EVs that are free of untested commercial hyperbolae. A more recent study [
3] used the concept of exergy and the thermodynamic methodology to calculate the minimum work needed for the propulsion of road vehicles and derived several useful conclusions on the merits of EVs. Another study [
4] examined in detail the pollution reduction benefits of EVs in urban settings and the reduction or replacement of urban pollution with the source-point pollution at the electricity generation power plants. The study also examined several national policies to encourage the citizenry to use EVs for commuting in urban areas. Several other recent studies have analyzed optimization techniques and the effects of EVs on the supply of electricity. Examples are the analysis of charging EVs using renewable energy sources [
5], and the effect of fleets of EVS on electric microgrids, also using renewable energy sources [
6]. It appears that most of the papers in the literature pertain to the electrical parts of the EVs, such as batteries—including optimized methods for charging and discharging [
7,
8]—and motors, while fewer studies are related to the overall energy usage and the thermodynamic aspects of the EVs.
This paper uses energy balances, the methodology of thermodynamics, national and global data on electricity generation and CO2 emissions, to determine the primary energy consumption and the associated environmental effects of EVs. The main research question that motivates this study is the clarification or debunking of several concepts related to the energy usage, thermodynamic efficiency, and environmental effects of EVs. Among the contributions (novelties) of this study is the delineation the energy transformations from primary energy sources to electricity, which drives the electric motors of EVs and the calculation of realistic values for the primary energy usage of EVs as well as their overall thermodynamic efficiency. Another contribution is the determination of the effect of heat transfer from the EV cabin on the driving range of electric vehicles. Based on the well-to-wheel efficiencies and the national/regional mixes of electricity generation fuels, the environmental impact of ICPVs substitution with EVs is determined, specifically the avoidance of CO2 emissions. Other contributions of this paper are the requirements for the charging of EVs by solar irradiance in several cities and potential electric grid problems associated with the charging of a fleet of EVs.
2. Well-to-Wheels Efficiency
One must consider that EVs use electricity, a tertiary form of energy, which is generated by the conversion of other energy sources [
9,
10,
11].
Figure 1 shows these energy conversion systems that commence with a primary energy source (the fuel) and finish at the car motor. The “Fuel” in this case is a generic name that applies to a primary energy source; e.g., solar, natural gas, coal, nuclear, etc. This primary energy source is converted to electricity in the power plant; the electricity is transmitted to the battery of the EV; the electric energy is converted to the chemical energy of the battery during charging; and finally, the chemical energy of the battery is converted back to electricity during discharge and runs the motor.
Each one of the energy conversion processes shown in
Figure 1 entails energy dissipation, which is quantified by an efficiency. The figure shows the typical range of the average efficiencies for the several processes involved in the conversion of a primary energy source to motive power in the EV. Therefore, for the chain of conversions of the primary energy sources (the only energy sources that are naturally available) to the motive power of the EVs one must take into account the energy losses in the entire range of processes, and this is best quantified by the well-to-wheels (WTW) efficiency [
9,
11,
12]:
where
ηel is the conversion efficiency of the primary energy source to electricity;
ηtr is the transmission efficiency from the power plant to the battery;
ηbat is the charging efficiency of the EV battery; and
ηdt is the combined efficiency of battery discharging, electric motor and coupling with the wheels of the EV.
Table 1 shows typical values of these efficiencies for the conversion of several primary energy sources and the resulting WTW efficiency for EVs.
It is apparent in
Table 1 that the WTW efficiency of EVs is not very high, except when the electricity is produced by hydroelectric power plants [
13]. For the other electricity generation types, the WTW efficiency of EVs is in the range 13–34%. Tidal, wave, and OTEC energy generation is not included in
Table 1 because all three combined generate less than 0.01% of the electricity produced globally, and they are not expected to generate much more in the future.
For vehicles that use hydrocarbon fuels IC engines the WTW efficiencies include the processes of petroleum exploration, extraction, transportation, and refinement, as well as the thermal efficiency of the IC engine and the transmission efficiency. The pre-combustion processes are typically lumped together in the
well-to-tank efficiency,
ηwtt, and the remaining processes in the
tank-to-wheels efficiency,
ηttw. Hence, for IC vehicles:
Because petroleum is a very dense energy source, the energy associated to the before the tank processes is a small fraction of the available energy. An extensive study of eighteen types of vehicles by the Argonne National Laboratory [
12] determined that the well-to-tank efficiency for gasoline and diesel IC vehicles to be in the range 77–86%. With the tank-to-wheels efficiency of mid-size IC engines in the range 14–35%, the WTW efficiency of the IC-powered cars is in the range 11–30%, with the lower part of the range corresponding to performance and sports vehicles [
14]. These efficiencies are comparable to the range of the WTW efficiencies for the EVs [
11]. In general, it may be said that IC-powered vehicles have higher well-to-tank efficiencies and lower tank-to-wheels efficiencies, while EVs have lower well-to-tank efficiencies and significantly higher tank-to-wheels efficiencies.
Hybrid electric vehicles with IC engines and smaller batteries have higher WTW efficiencies that oftentimes approach 50% [
9,
15]. One may conclude from the consideration of all the energy conversion processes that the “efficiency” of the EVs is comparable to that of typical IC-engine vehicles and that the conversion of a fleet to EVs will not save a great deal of primary energy.
3. Renewable Energy Utilization—Energy Storage
The widespread utilization of renewable energy sources is one of the primary goals for a sustainable future, as it is clearly stated in the United Nations document
Our Common Future [
16] and the more recent report by the Intergovernmental Panel on Climate Change (IPCC), which recommends that the CO
2 emissions from the electricity generation sector should be reduced by 90% or more from the 2010 levels between the years 2040 and 2070 [
17]. In a future global society with a large fleet of EVs, it is possible to equip the vehicles or their garages with solar panels that would charge the batteries. Commuter vehicles in large cities are very much suited to this charging scheme, because they are stationed in garages for most of the daylight hours. Given that the EV charging time is flexible, a recent study concluded that the optimization of EV charging in two demographic groups would result in doubling the renewable energy used during the charging process [
18]. A similar study outlines all the benefits of the optimized charging of EVs with flexible charging times [
19].
The charging of EVs by renewable energy sources implies that sufficient energy supply, in most cases by PV systems or wind is available to charge the vehicles. For inner city garage charging, one would install PV systems on the roofs of garages that would charge the batteries of the hundreds of vehicles within the garage. A moment’s reflection, however, proves that the size and area of EVs and most garages are not sufficient for this task.
Table 2 shows the results of computations on the surface area of photovoltaics that might supply with 25 kWh electricity the batteries of EVs when they are garaged for nine hours (8:00 a.m. to 5:00 p.m.) in five metropolitan areas of the USA—New York, Boston, Kansas City, Los Angeles, and Miami. The Table also shows the generated power (in kW/m
2) and PV area necessary to charge the batteries of a single EV and of 800 EVs (e.g., in garages) in the five cities. Data for the solar irradiance have been obtained for the summer and the winter months from the NREL’s
National Solar Radiation Data Base [
20]. The PV panels are positioned stationary and facing south at the optimum angle for maximum annual energy production, an angle that is approximately equal to the angle of the city’s latitude. The overall average efficiency of these commercial PV panels is 20% [
21] and the battery charging efficiency is 85%. In order to avoid weather-related fluctuations in irradiance, ten-day averages (the first ten days of January and July) were used in the calculations.
It is apparent that the surface area of a single vehicle is insufficient to supply its battery daily with 25 kWh using roof-embedded PV cells. Multilevel garages in large cities, where hundreds or even a few thousand cars are parked, also do not have sufficient roof and side areas to charge the EVs. This implies that, if the EVs are to be charged by renewable energy, the electricity must be generated in solar farms outside the urban areas, where land may be plentiful and cheaper. In this case, the battery charging will be laden with additional transmission losses related to inverters, transformers, and transmission lines.
An important benefit from the use of a large fleet of EVs that are idle during the morning hours is the availability of energy storage and the avoidance or partly flattening of the “duck curve” effects [
22,
23,
24], which is shown in
Figure 2 for the demand in the city of San Antonio, Texas. When a large fraction of the annual electricity demand is generated by renewables, there is a demand-supply mismatch when the demand is lower, but the supply is high. For PV installations, this typically occurs during the morning hours during the spring and the summer, when the high irradiance produces a great deal of electric power, but the demand is moderate; e.g., because the temperature is not high for the air-conditioning demand to be significant and absorb all the supply [
25].
The excess electric energy produced may be stored in the batteries of the EVs to be used later, e.g., after dusk when the solar generated electricity vanishes. This is the so-called
vehicle-to-grid (V2G) technology [
26,
27,
28]. With thousands (perhaps millions) of EV batteries available, a distributed, utility-level energy storage system could be developed that would facilitate the widespread use of renewable energy. However, such a system would suffer from two disadvantages:
As a consequence of the above, EV batteries will be able to deliver significantly less energy than their rated capacities. For example, if an EV battery has 55 kWh capacity and the commuting energy is 25 kWh, the batter is capable to deliver to the electricity grid only 30 kWh. With combined discharge-inverter-transformer efficiencies close to 80%, the consumers in the grid region will receive approximately 24 kWh. A recent study for the ERCOT electricity grid in Texas concluded that, even if EV ownership reaches 100% of the personal vehicles, EVs will only provide a small fraction (3–5%) of the needed storage for the entire grid. However, and because the round-trip efficiency of battery storage is significantly higher than that of other grid-level storage systems (e.g., hydrogen, PHS and CAES), when priority for discharge is given to the EV batteries, even this very small fraction of battery storage availability significantly reduces the dissipated energy in the storage/recovery process [
31].
4. Charging Time and Grid Stability
The electric grids of most OECD countries have sufficient capacity to service large fleets of EVs, if the charging is done during nights. Of the energy usage in 2017 globally, 1961 Mtoe were consumed by road vehicles most of them ICPVs [
32]. Assuming approximately equivalent well-to-wheel efficiencies, if all these vehicles were to be substituted by EVs, there would be an annual need for an additional 4550 TWh electric energy production globally [
33]. This quantity of electricity may be produced by the spare capacity of the electricity generation units during hours of low consumer demand, which usually occurs at nighttime. In the USA, road vehicles consumed 20.1 Quads of hydrocarbon fuels in 2019 [
34]. Assuming that all the road vehicles are converted to EVs with equivalent WTW efficiency, the conversion to an all-EV fleet would consume an additional 1080 TWh annually. In 2019 there was 1196 GWh installed generating capacity in the USA, capable of generating a total of approximately 10,500 TWh annually. Since the electric power plants only generated 4236 TWh in 2019 (the generation of electric power units is adjusted to meet the demand of the consumers) the additional 1080 TWh could have been generated by the spare capacity of the electricity grids, e.g., during the nighttime, when the electric power demand is typically low.
Figure 3 depicts the electric power demand during two typical days, one in the summer and one in the winter, for the ERCOT electricity grid of Texas [
35]. The rated capacity of all electricity generation units in the region (summer 2021) is 86 GW, significantly higher than the peak summer demand [
36]. It is apparent in the Figure that the spare generation capacity during the nighttime and early morning hours, would be sufficient to supply with electric energy a large fleet of EVs within the region served by this grid.
In general, the electricity grids of most countries are capable of supporting the charging of EVs, mostly during the nighttime when the demand for electric power by the other sectors of the economy is low. However, substantial problems will arise if EVs are charged during hours of peak demand, and especially if the charging occurred during short periods of time. Let us consider the situation when 1 million EVs within the ERCOT region (there are currently more than 15 million road vehicles within this region) are to be charged by an average of 30 kWh between the hours 5:00 p.m. and 6:00 p.m. on the July day, whose demand is depicted in
Figure 3. As shown in the Figure the power demand by the other sectors at 5 p.m. is approximately 67.6 GW. Considering a combined transmission-transformer-inverter efficiency of 85%, the power generating units within the grid would have to supply an additional 37.5 GW during that hour, an additional generating capacity that does not exist within the grid. The sudden spike of demand for electric power would cause grid instabilities and, very likely, blackouts. On the contrary, if the 1 million cars were to be charged over eight hours during the nighttime (e.g., between 11:00 p.m. and 7:00 a.m.) the additional average power needed for these hours is only 4.7 MW. As may be seen in
Figure 3, the current capacity of the grid (86 GW) is sufficient to supply this additional power without any problems. There is significant research in the area of fast-charging worldwide [
37,
38,
39], which will hopefully address this supply-demand problem for electricity grids.
5. Distance Range, Heating and Air-Conditioning
A significant disadvantage of EVs is that the battery is the only energy source and must provide all the energy needs of the vehicle, including heating. While heat is supplied to the IC-engine vehicles by the waste heat in the exhaust gases of the vehicle, the battery must supply all the heating for the cabin of the EV. This is an especially important consideration in cold regions, where the ambient temperature is low in the winter months. Because of this, most EVs use small heat pumps that double as air-conditioning units during the hot season. The rate of heat transferred from any segment of the vehicle may be calculated from the equation [
40]:
where
U is the overall heat transfer coefficient of the segment;
hin is the inside heat transfer coefficient, typically due to natural convection inside the cabin;
hout is the outside heat transfer coefficient, due to forced convection and is a strong function of the vehicle speed; Δ
x is the thickness of the material (glass, metal, composite, etc.) that comprises the vehicle segment; and
k is the thermal conductivity of this material. The total rate of heat transferred from the vehicle is obtained by summarizing all the segments of the vehicle cabin which are exposed to the ambient air.
Calculations were performed for the energy requirements of a typical sedan-style EV, when the difference between the interior cabin and ambient is 30 °C (e.g., when the ambient temperature is −5 °C and the cabin is maintained at 25 °C) with the heat pump coefficient of performance,
β, as a parameter. The results of the calculations are shown in
Figure 4. The case
β = 1 signifies that the EV uses resistance heating and the case
Q = 0 signifies that no heat is needed for the cabin of the EV (this is the power needed for the propulsion of the vehicle at the speed shown).
At the cruising speed of 100 km/h, the power consumption of this vehicle increases by 45% when it is heated by resistance heating and by 15% when a heat pump with β = 3 is used. The range of the vehicle (the distance travelled in one charge) would decrease commensurably. It is apparent that the EV power needs increase significantly in colder climates and that a heat pump with a high COP would be beneficial.
6. CO2 Emissions
One of the principal marketing arguments for the widespread use of EVs is that the vehicles do not emit any greenhouse gases, and particularly CO
2, the principal greenhouse gas and principal cause of the global environmental change (GCC). This is correct to a certain extent because the EVs, by themselves, do not emit any pollutants. However, pollutants are emitted at the points where the electric energy in the vehicles has been generated, the power plants. The electric generation units of all countries use fossil fuels for at least part of their electric energy generation. The fraction of fossil fuels used depends on the other native sources for electricity generation and ranges from 1.8% in Norway (primarily natural gas) to 83.4% in Estonia (primarily sand tar). The global average of the use of fossil fuels for electricity generation is 62.7% and includes coal, natural gas, and liquid hydrocarbons [
41].
A very good and holistic method to determine the environmental impact of engineering systems is the Life Cycle Assessment (LCA), in which all the pollutants associated with the manufacture, operation and disposal of the systems are determined [
42,
43]. In the case of EVs, which consume a great deal of energy and are expected to operate for ten years or more, the LCA of CO
2 emissions is very close to the emissions of the power units that generate the needed electricity for their operation. Calculations were made for the CO
2 emissions avoidance resulting from the substitution of IC-engine vehicles with EVs in several countries that generate electricity by a different mix of primary energy sources. For the calculations of the IC-engine vehicles the CO
2 is emitted by the combustion process of the hydrocarbons. For the EVs, the equivalent heat supplied to the fossil fuel generation units is calculated, using data for the fraction of electricity generated by fossil fuels in a particular country. Results of the calculations for several countries are depicted in
Table 3. The first column in the Table shows the country; the next four columns show the fraction of electric energy generated by coal, natural gas, petroleum, and by non-carbon emitting primary energy sources [
38,
44]. Biofuels, which absorb their carbon from the CO
2 in the atmosphere or from wastes, are considered carbon-neutral energy sources and were included in the non-carbon emitting sources [
45]. Since the ICPVs do not utilize the latent heat of the vapor in their emissions, the low-heating value (LHV) data was used for the gasoline. Also, since a fraction of the modern gas turbines that operate with natural gas and petroleum increasingly use combined cycles with preheaters, the average of the low- and high- heating values (HHV) was used for the natural gas and petroleum that generate electricity [
46]. The fifth column of the Table depicts the CO
2 avoidance under the current electricity generation mix, when ICPVs are substituted with EVs. Positive values signify avoidance, while negative values signify CO
2 emissions increases. The last two columns in the Table indicate the CO
2 avoidance when the WTW efficiencies of EVs are significantly higher than those of the IC-powered vehicles by factors 1.2 and 1.4 (20% and 40% WTW efficiency improvement). This because it is believed that future efficiency improvements and CO
2 avoidance may be achieved if the following trends in the manufacturing of EVs continue:
Lower weight.
More efficient charging and discharging processes.
On the electricity generation side, improvements of the generation efficiencies (this happens primarily with the introduction of combined cycle units).
Reduction of the carbon footprint of the electric power generation mix (e.g., by the substitution of coal units with renewables [
38,
43,
47]).
It is observed in
Table 3 that the substitution of the ICPVs with EVs, on the average, reduces the CO
2 emissions by 16.24%. However, this effect is local and depends on the primary sources that generate electricity in each country or electricity grid. In countries such as Norway and Canada that generate a high fraction of their electricity by hydroelectric units, as well as in countries such as France and Japan that use a high fraction of nuclear energy, the CO
2 avoidance is very high. On the contrary, in countries such as P.R. China, Australia, and India, which produce a great deal of their electric power from coal, the substitution of IC-engine vehicles with EVs will result in a net increase of CO
2 emissions. It is also observed in
Table 3 that the CO
2 avoidance will improve as the WTW efficiency of EVs improves and as the fraction of renewable energy sources in the electricity generating mix increases.
Figure 5 depicts the data of
Table 3 as percentages of the fossil fuels used for electricity generation and CO
2 avoidance. The current global average is shown as a red square in the graph. The slope of the trendline is −1.4, signifying that for every 1% reduction of fossil fuels sources for the generation of electricity there is 1.4% increase of CO
2 avoidance when IC-powered cars are substituted by EVs. It is apparent from the study of
Table 3 and
Figure 5 that parameters such as the fraction of renewable energy sources used for the generation of electric power and the promotion of EVs in a nation or a region can be added to the extensive set of guidelines for ecological and environmental improvement that are included in the
TRIZ-based guidelines, which were the subject of a recent study [
48].
It must be noted that, although the avoidance of the CO
2 emissions is a worthwhile goal, consumers will drift to the energy form that minimizes their overall cost of transportation, not necessarily to minimize their CO
2 emissions. A recent study on plug-in hybrid vehicles used optimization objectives for drivers (minimization of the operational costs during vehicle charging and operation) and of governments (reduction of emissions) charging and concluded that the different objectives lead to different charging-discharging outcomes [
49]. A subsequent study concluded that the price of electricity in the determines the charging and use of electricity for the hybrid vehicles and that incentives must be offered to their owners in order to ensure optimum environmental results [
50].
7. Conclusions
This paper critically examines some of the misconceptions promulgated by commercial marketing campaigns for EVs using the methodology of thermodynamics. The WTW efficiency, which connects the final energy use with primary energy sources, indicates that the overall primary energy conversion efficiencies of EVs is comparable to those of ICPVs and (on the average) less than hybrid vehicles. Heat transfer to or from the vehicles—for passenger comfort during extreme weather conditions—requires additional energy, which must be supplied by the battery. This significantly reduces the range of EVs, especially if heating is supplied by electric resistances and not heat pumps. The charging of EV batteries may be accomplished using renewable energy sources, primarily solar energy, which is periodically variable. The PV area required for the charging of EVs in several American metropolitan areas by far exceeds the surface area of the vehicles themselves. Also, for grid stability and the avoidance of excess electric power demand, it is best to slowly charge the EVs during night hours, when electricity demand is lower. Regarding CO2 emissions avoidance, the effect of EVs depends on the methods and technology of electricity generation. A study of the electricity generation in several countries reveals that only in countries where a large fraction of electricity is generated by nuclear and renewables does the substitution of ICPVs with EVs have a significant impact on CO2 avoidance.