Initial assessment of vehicle weight and other inputs
Based on Lombardi et al (Lombardi et al. 2020) for larger vehicles (3500kg and over), and manufacturers’ published data for cars (Mercedes Benz UK 2019), we identify the following equivalent vehicle weights for vehicles of the same carrying capacity:
Table 1 Gross vehicle weights for equal payload, three fuel types.
ICE weight (kg)
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BEV weight (kg)
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HFCEV weight (kg)
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1950
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2455
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1970
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3500
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4224
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3566
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5200
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6028
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5255
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18000
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19816
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18236
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44000
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47686*
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44760*
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Note that the weight marked * exceed the maximum allowable vehicle weight of 44 tonnes.
To get a suitable equivalence from manufacturers’ data, it is necessary to identify almost identical vehicles made with different fuel types. The only car commercially available both as an HFCEV and as an ICE vehicle is the Mercedes-Benz GLC (now ceased production), which is a medium-large SUV. The HFCEV version has a larger battery than is usual for an HFCEV (13.5kWh instead of around 1.6kWh (Hyundai UK 2020)), and can be used as a plug in hybrid. It is also available as a BEV (called the EQ-C, with some styling differences)(Mercedes Benz, 2022). Other vehicles exist as both BEV and ICE, but not HFCEV. For the purposes of consistency in this table, we use the Mercedes-Benz GLC / EQ-C for both ZEV types. We adjust the weight of the GLC Fuel Cell down by 95kg to reflect the typical extra weight of the larger Li-Ion battery(Jung et al. 2018), to create a more relevant entry for this table.
The Scottish and UK Governments use the terms “Goods” and “Light Goods” for goods vehicles above and below 3,500 kg maximum gross weight respectively. Here, to reduce ambiguity, we use the older common terms Heavy Goods Vehicle (HGV) and Light Goods Vehicle (LGV).
From this table, we derive a simple relationship between the weight of a BEV and an ICE vehicle of the same carrying capacity based on the trendline function in Microsoft Excel, as follows:
\(\text{B}\text{E}\text{V} \text{W}\text{e}\text{i}\text{g}\text{h}\text{t}=\left(1.0744\times \text{I}\text{C}\text{E} \text{W}\text{e}\text{i}\text{g}\text{h}\text{t}\right)+430\) Eq. 4
And between an HFCEV and an ICE vehicle:
\(\text{F}\text{C}\text{E}\text{V} \text{W}\text{e}\text{i}\text{g}\text{h}\text{t}=\left(1.014\times \text{I}\text{C}\text{E} \text{W}\text{e}\text{i}\text{g}\text{h}\text{t}\right)\) Eq. 5
Both of these formulas match the Table 1 data well, with a very close R2 value of at least 0.9999.
The maximum permitted weight of an HGV is 44,000 kg; clearly the weight of the two ZEV equivalents exceed this value. We address this by assuming that vehicles in this class remain at the limit of 44,000 kg, but they make more journeys and so cover a greater distance each, so that the same total payload is carried over a year. This approach is extended for similar circumstances where the new weight of an HGV sub-class passes the permitted weight, taking account of 1000kg permitted extra weight for 2 axle and 3 axle rigid chassis zero emission HGVs (UK Government 2017).
Given that the lowest data point in the original table still represents a large car, it will be necessary to extrapolate the formula slightly to get a vehicle weight more representative of a smaller one; it may be unrepresentative of motorcycles. However, as it turns out, the RWIF of cars and motorcycles is so low that this immaterial (see below).
For each class or sub-class, we have to estimate a reference vehicle weight. The key factor affecting this for large vehicles is the proportion of time the vehicles run empty or lightly loaded. This will obviously happen some of the time, with a significant change in weight. Vehicle operators will clearly try to maximise the load in their vehicles, so the actual average weight can be expected to be higher than, for example, a mid-point between empty and full. We expect that buses will run for a higher proportion of the time empty or lightly loaded, as they will be sized for peak demand. However, due to the 4th power relationship described above, the heavier loading will have a proportionately greater impact on road wear.
As a working assumption, we take the reference vehicle weight as the midpoint of the applicable weight range. We examine the implications of inaccuracies in the Sensitivities section below.
The annual distance travelled by each vehicle is taken as the average for the class or sub-class from UK government statistics. There are cases where this data is only available for a group of sub-classes (e.g., all 2- or 3- axle rigid chassis HGVs) – in this case we take the average for all relevant sub-classes. This is also examined in Sensitivities, below.
For some sub-classes of HGV, the allowable weight was exceeded when the vehicle weight was increased, as seen in Table 1. In these circumstances, we assume that the maximum weight will not be exceeded, but that the affected vehicles will cover longer distances instead. There are other ways that this could be treated, which we explore further in Sensitivities.
Road Wear Potential per vehicle
We examined the wear potential associated with individual vehicles. Figure 1 below shows the relationship between vehicle weight and Road Wear Impact Factor, taken as the number of standard axles per vehicle. This shows the RWP of a vehicle in each sub-class based on its weight and number of axles, for the three fuel types under consideration.
We can see from Fig. 1 that the wear potential of a larger vehicle is overwhelmingly greater than that of a smaller one, due to the 4th power law exponentially increasing the effect of greater axle load. We also see a significant increase in wear potential for a relatively small increase in vehicle weight in large vehicles, for the same reason. The mitigating effect of additional axles is also clear – the reduced number of effective standard axles per actual axle more than offsets the increased number of axles, hence the total RWP decreases for vehicles where the axle count increases. This happens at the 16-20t category, where the axle count increases to 3, at 28-30t where it increases to 4, at 38-40t which requires 5 axles, and 40-44t requiring 6 axles.
Road Wear Impact Factor
Next, we develop this into the assessment of the Road Wear Impact Factor by Class and overall, for the four scenarios under consideration. Multiplying each vehicle’s Road Wear Potential by the number of vehicles in the class and the average distance driven each year(UK Department of Transport 2019) produces the total Road Wear Impact Factor for each class. This produces overall sub-class and class Road Wear Impact Factors as shown in Fig. 2 below.
Clearly the overall RWIF is overwhelmingly due to the largest vehicles in use, even though they don’t have the highest RWP. This reflects the greater use made of the largest vehicles – there are more 40-44t HGVs than any other category of HGV other than the smallest 3.5-7.5t vehicles, which has about 20% more; also a typical 44t vehicle covers almost twice the annual distance of a 7.5t one. Due to the much smaller RWP, vehicles below 12t, or even 24t, have a negligible impact on national RWIF with any fuel type.
The impact of ZEV technology in larger vehicles can be clearly seen, with BEV having a substantially greater impact than FCEV. This is especially marked in buses, which are permitted to operate with two axles at higher weights than HGVs − 19,500kg for buses, compared to 17,000 kg for ZEV HGVs.
A table with a detailed breakdown of the calculations and results is presented in the Appendix.
Sensitivities
We considered the sensitivity of the results to different ways of estimating the input simplifications:
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Reference weight estimate
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Increasing axle numbers instead of increasing distance covered, when allowable vehicle weight was exceeded;
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Varied load distribution, other than equal on each axle;
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Using HGV subcategories based on axle number rather than tax bracket.
We initially assumed a reference weight at the midpoint between the top and bottom of each tax class. However, the reference weight, or typical effective weight, could be significantly different for HGVs, due to the potential for different loading patterns. We varied the originally estimated reference weight by factors ranging from 0.5 to 1.07. Beyond 1.07, the ICE reference weight began to exceed the allowable weight in each category, particularly the heaviest, therefore a higher factor than this was clearly unrealistic.
We then considered two approaches to dealing with excess weight in future vehicles: either (1) increase the distance travelled, keeping the reference weight at the sub-class maximum, or (2) increase the number of axles required for the sub-class. We found patterns for these two approaches as shown in Figs. 3 & 4:
Both approaches show very similar results. The final output, the change in RWIF with different fuels, is assessed as the ratio between the old and the new rather than a meaningful absolute value, so a change to both produces a similar result for most of the range. The change in RWIF decreases at higher scaling factors because the beneficial effect of adding axles or distance travelled becomes significant. On this basis, we describe the change in overall RWIF due to a fully BEV fleet as 30–40%, and for a fully FCEV and Like for Like fleet as 6%.
To assess the effect of unequal load distribution, we considered the effect of one axle carrying a percentage more than all the other axles, which were set as equal. An unevenly distributed load would result in a higher RWP than an evenly distributed one. However, when the same proportion of uneven-ness is applied to current and future cases, the relative increase in RWIF is unchanged. Ensuring that loads are more evenly distributed in ZEVs than at present would be a way of mitigating the increased RWP, but that analysis is beyond the scope of this paper.
Data is available for HGV numbers and usage based on weight related tax bracket or on number of axles, which is also related to maximum weight. Using tax brackets gives a finer division of data; using the axle number gives a better match to the effects between sub-classes and permitted vehicle weights. Our main approach has been to use the former. Here, we re-run the analysis on the basis of axle numbers, for comparison.
However, again because the treatment is the same for ICE and ZEV, the effect on the overall result is minimal. Results are presented in Table 2:
Table 2 Comparison of RWIF for different types of HGV sub-class categorisation.
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BEV
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FCEV
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Like for Like
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% increase in overall RWIF (tax bracket based sub-classes)
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29.7%
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5.7%
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5.9%
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% increase in overall RWIF (axle number based sub-classes)
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30.2%
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5.7%
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5.9%
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We consider this effect to be insignificant.