3. Results and Discussion
The behavior of the different configurations studied was analyzed by F.E.M. to find out the optimum configuration in terms of occupant safety and intrusion into the passenger compartment and Thermal Runaway propagation.
Firstly, the instant of maximum deformation for each of the configurations is analyzed. The instant of maximum deformation is considerably reduced when the battery pack is installed, as the vehicle is transversely stiffened. After including the shock-absorbers, a decrease in the time before reaching the moment of maximum deformation has also been observed, as these new components also add stiffness to the car.
Table 8.
Comparison of the instant of maximum deformation of the car model.
Table 8.
Comparison of the instant of maximum deformation of the car model.
| |
Without battery |
Config. 1 |
Conf.2 |
Config. 1 with shock absorbing elements |
Config. 2 with shock absorbing elements |
| Time of maximum deformation(s) |
0,1 |
0,0615 |
0,0625 |
0,056 |
0,058 |
Upper view for each of the five configurations, at the moment of maximum deformation, are shown below (
Figure 16).
The following table shows the maximum velocity and acceleration for each of the five configurations analyzed. Because the mass of the vehicle increases with the inclusion of the battery pack, and applying the conservation of linear momentum, the maximum velocity and acceleration after impact for the configurations with battery pack are lower.
Table 9.
Comparison of maximum speed and acceleration.
Table 9.
Comparison of maximum speed and acceleration.
| |
Without battery |
Config. 1 |
Conf.2 |
Config. 1 with shock absorbing elements |
Config. 2 with shock absorbing elements |
| Maximum Velocity (m/s) |
10,09 |
7,52 |
7,35 |
7,77 |
7,73 |
| Maximum Acceleration (m/s2) |
876,49 |
291,12 |
310,65 |
427,49 |
360,06 |
Figure 17.
Average velocity (m/s) measured on the ground of the vehicle during the impact for each configuration.
Figure 17.
Average velocity (m/s) measured on the ground of the vehicle during the impact for each configuration.
Figure 18.
Average acceleration (m/s2) measured at the floor of the vehicle during the impact for each configuration.
Figure 18.
Average acceleration (m/s2) measured at the floor of the vehicle during the impact for each configuration.
Once the moment of maximum deformation is known, the maximum von Mises stress in the vehicle components that absorb energy in the impact between the barrier and the battery modules is analyzed to find out whether these elements become over the yield strength and whether they withstand the impact without breaking, comparing the maximum stress achieved with the yield strength and the ultimate strength.
Table 10.
Comparison of protection elements.
Table 10.
Comparison of protection elements.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| side sill |
Edeformmax (J) |
939,08 |
1472,23 |
1597,28 |
878,17 |
784,30 |
| σVMmax (MPa) |
982,11
|
10892
|
991,81
|
909,61
|
895,81
|
| Housing |
Edeformmax (J) |
- |
2125,87 |
2515,62 |
1908,04 |
1782,96 |
| σVMmax (MPa) |
st- |
365,72
|
360,51
|
339,61
|
351,31
|
| Shock absorber |
Edeformmax (J) |
- |
- |
- |
684,09 |
729,94 |
|
⅀Edeformmax (J)
|
939,08 |
3598,1 |
4112,9 |
3470,31 |
3297,20 |
In none of the configurations appears a plastic deformation of the modules, and therefore no breakage is observed. However,
Table 11 shows that in all the models with battery, the phenomenon of thermal runaway occurs in the same type of module: those that are placed with the largest area facing the impact. Interestingly, this distribution is precisely the one recommended [
18] to reduce the transmission of this phenomenon between the different modules of the battery.
3.1. Thermal Runaway Phenomenon
Criteria have been sought to ensure that the battery is not damaged in a way that endangers the vehicle occupant’s safety in relation to the Thermal Runaway phenomenon. It has been considered that a module can sustain a compressive force of 445 kN before Thermal Runaway occurs [
19].
To convert this data into a criterion, a battery module with a shell and solid interior was modelled, with the same characteristics as in the side impact model. This module was simulated in three different situations, each time receiving the corresponding force on one of the three different surfaces. This force was applied punctually at the nodes, so it was necessary to divide the force of 445 kN by the number of nodes defining the surface to be studied.
Subsequently, the shortening obtained has been noted down, this being the criterion to be considered when interpreting the results obtained. If the shortening obtained in any of the battery configurations exceeds this value, it shows that the configuration is not safe against the phenomenon of thermal runaway.
In the first configuration, the modules on the floor are placed horizontally on the floor, with the smallest surface (55 x 223 mm) facing the movable barrier. They are resting on the ground at their base, the largest surface area, and the impact hits the smallest surface area.
The maximum shortening that a module under compression can withstand on its smallest face (Δ 𝑙minimum) is 0.0699 mm. For larger deformations, it can be concluded that the phenomenon of Thermal Runaway occurs.
In the second configuration, the modules placed horizontally on the vehicle floor have the median surface perpendicular to the direction of movement of the moving barrier and rest on the larger surface.
The maximum shortening that a module whose median face is directed towards the impact (Δ 𝑙𝑚ean) can withstand is 0.037 mm before the thermal runaway phenomenon occurs.
Finally, it has been simulated for the situation of the modules of both configurations resting under the rear bench, placed on edge, and part of those placed on the floor of the second configuration, also on edge. These are in contact with the floor through the middle surface and in contact with other modules on their larger surface.
The maximum shortening of a module under compression on its largest surface (Δ 𝑙𝑚maximum) is 0.0094 mm, before the thermal runaway phenomenon occurs.
Taking into account the previous results, it can be concluded that the most critical module of configuration 1 with shock-absorbers implemented is very close (within 0.0004 mm) to fulfill the requirements of avoiding the thermal runaway phenomenon. This would make it the best option between the four arrangements including battery proposed in this study. However, it is possible to implement improvements that would move the fire hazard in the battery away, which will be indicated later.
3.2. Intrusion into the Passenger Compartment of the Vehicle
Intrusion into the passenger compartment has been measured with four different parameters, measured at the instant of maximum deformation in each of the cases analyzed, to determine the effect of the battery on the structural behavior of the vehicle during a side impact.
3.2.1. Intrusion at Side Sill
The first two parameters are the maximum distance and the average distance that different nodes penetrate at side sill height (
Figure 19). These distances have been calculated as the difference between the vehicle width before and after impact at different nodes.
It is observed that both the battery and the absorbers stiffen the vehicle structure, as intrusions are reduced. By including the battery, the floor is stiffened, and the side sill intrusions are considerably reduced. The intrusions are smaller in the case of configuration 1 as the battery is wider than in the case of configuration 2, and therefore a greater zone of the vehicle floor is stiffened.
By implementing the shock absorbers, the average distance penetrated the passenger compartment at side sill has been further reduced. However, in the second configuration with absorbers, the maximum intrusion obtained between the nodes was almost the same as without absorbers, while the average distance has decreased considerably. This means that there is one of the nodes that has a very high deviation from the line of nodes, but generally the right side of the vehicle reduces the intrusion of its surface.
Table 12.
Comparison of protection elements.
Table 12.
Comparison of protection elements.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| dTmax(mm) |
333,55 |
224,85 |
253,02 |
205,55 |
253,48 |
| dTmax(mm) |
252,60 |
128,862
|
160,31 |
93,87 |
100,67 |
3.2.2. Intrusion at B-Pillar
For this element, two different parameters have also been calculated that quantify the intrusion into the passenger compartment at the B-pillar of the vehicle at the instant of maximum deformation.
The first one, 𝑑
𝐻, is defined as the distance that a B-pillar node penetrates inside the passenger compartment with respect to two nodes of the A and C pillars. The distances from this node to the imaginary line formed by two nodes on the A and C pillars of the vehicle at the same z-value, both before and after the impact (
Figure 20), are calculated and summed to calculate the value of 𝑑
𝐻.
The second of the parameters, 𝑑
𝑉, is the distance penetrating the center of the B-pillar in relation to its anchorages. It has been calculated as the sum of the distances, before and after the impact (
Figure 21), from a node in the middle of the pillar to the imaginary line between two nodes each located at an anchorage of the pillar.
When analyzing the intrusions on the B-pillar of the vehicle by including the battery assembly, a reduction of the distance dH has been achieved. After implementing the absorbers, this distance has been further reduced. The distance dV increases slightly when the battery pack is fitted, as the floor does not deform as much as the rest of the side and this intrusion is measured as a function of the distance from a node in the center of the pillar to the line formed by its anchorages. However, this distance decreases with the implementation of the absorbers.
Table 13.
Intrusion at B-pillar for the different configurations analyzed.
Table 13.
Intrusion at B-pillar for the different configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| dH(mm) |
351,48 |
222,91 |
238,96 |
160,19 |
120,95 |
| dV(mm) |
101,32 |
103,71 |
108,85 |
85,30 |
81,24 |
3.3. Results of the Different Electric Vehicle Configurations Analyzed
The movement of the dummy and the stresses to which it is subjected are analyzed for the different vehicle configurations studied. The injury thresholds indicated by the regulations and by the private programs that analyze vehicle safety will be taken as the reference values. Moreover, as it has been explained before, the test configuration used is ruled by ECE R95 regulation.
Below is a sequence of frames showing the movement experienced by the co-driver of a vehicle subjected to an acceleration like that experienced in a lateral collision according to the ECE R95 regulation. The co-driver is located on the right-hand side of the vehicle related to the running direction.
3.3.1. Co-Driver Kinematics on a Combustion Engine Vehicle
Figure 22.
Kinematics of the co-driver on a combustion vehicle subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
Figure 22.
Kinematics of the co-driver on a combustion vehicle subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
3.3.2. Co-Driver Kinematics on an Electric Vehicle: Configuration 1
Figure 23.
Kinematics of the co-driver on an electric vehicle configuration 1 subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
Figure 23.
Kinematics of the co-driver on an electric vehicle configuration 1 subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
3.3.3. Co-Driver Kinematics on an Electric Vehicle: Configuration 2
Figure 24.
Kinematics of the co-driver on an electric vehicle configuration 2 subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
Figure 24.
Kinematics of the co-driver on an electric vehicle configuration 2 subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
3.3.4. Co-Driver Kinematics on an Electric Vehicle: Configuration 1 with Energy Absorbers
Figure 25.
Kinematics of the co-driver on an electric vehicle configuration 1 with energy absorbers, subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
Figure 25.
Kinematics of the co-driver on an electric vehicle configuration 1 with energy absorbers, subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
3.3.5. Co-Driver Kinematics on an Electric Vehicle: Configuration 2 with Energy Absorbers
Figure 26.
Kinematics of the co-driver on an electric vehicle configuration 2 with energy absorbers, subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
Figure 26.
Kinematics of the co-driver on an electric vehicle configuration 2 with energy absorbers, subjected to a lateral collision according to ECE Regulation R95, using the ES-2 dummy.
A comparison of the movement shows that in the case of the combustion vehicle the deformation of the lower part of the vehicle is greater and the occupant moves more to the side opposite to the side on which the vehicle is impacted. In the case of configuration 1 and configuration 2 with energy absorbers, the occupant moves more towards the side opposite to the side on which the vehicle receives the impact than in the case of the two configurations without absorbers. This is because the traction battery with absorbers stiffens the area and in the case of not including crash absorbers has a small clearance that allows it to deform and not directly receive the impact, while in the case of having absorbers there is no space before impacting against the traction battery plus absorbers assembly.
Figure 27.
Co-driver kinematic comparison for the different vehicle configurations analyzed.
Figure 27.
Co-driver kinematic comparison for the different vehicle configurations analyzed.
3.4. Influence of Battery Layout on the Risk of Injury
The influence of battery layout and the presence or absence of energy absorbers on the risk of injury to the co-driver is explained below.
3.4.1. Analysis of Head Injuries
According to the ECE R95 Regulation, the Head Performance Criterion (CCC) applies when there is contact with the head. The CCC is the maximum value of the following formula (1):
where "a" is the resultant acceleration at the center of gravity of the head, in meters per second squared, divided by 9,81, measured as a function of time and filtered with a channel frequency class of 1 000 Hz; "t1" and "t2" are any two moments between the initial and final contact.
This formula corresponds to HIC (Head Injury Criterion) (2):
where t1 is the start time, t2 is the end time, and R(t) is a(t), the acceleration curve experienced by the struck head, where (t) is measured in seconds and a is measured in g's.
A value of 1000 is cited as the injury threshold in aviation regulations. First, the HIC calculation was limited to a 36 ms interval (HIC36) with an injury threshold of 1000. Subsequently, it was revised, limiting the maximum time interval to 15 ms and reducing the injury threshold to 700 (referred to as HIC15). A HIC15 value of 700 represents a 5% risk of serious injury or AIS (Abbreviated Injury Scale) of 4.
The CCC (Head Performance Criterion) should be less or equal to 1000; when there are not head contact. In that case, CCC is not measured or calculated. On the contrary, "no head contact" is indicated.
The following table shows the HIC36 value experienced for each of the configurations analyzed:
Table 14.
HIC36 experienced by the dummy for each of the configurations analyzed.
Table 14.
HIC36 experienced by the dummy for each of the configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| HIC36 |
37.972 |
13.424 |
20.681 |
113.706 |
79.038 |
The values are well above the injury threshold (1000), which is the reason why the curtain airbag and the side airbag have been included in the vehicles.
To obtain an explanation for the difference between the HIC achieved in the different configurations, the acceleration experienced by head of the dummy in each configuration is analyzed.
Figure 28 shows how the maximum acceleration value experienced by the occupant of a combustion vehicle is reduced when a traction battery is added. Moreover, this maximum deceleration is also reached later. The lowest acceleration value is reached in the case of configuration 1. However, by adding crash absorbers and reducing the space between the running board (where the deformable moving barrier is impacted) and the traction battery plus absorbers, the maximum value is reached earlier. However, when that area is stiffened the maximum head acceleration value is higher.
3.4.2. Analysis of Thorax Injuries
According to the ECE R95 Regulation, maximum chest deformation is the maximum deformation value in any rib as determined by the chest displacement transducers, filtered with a channel frequency class of 180 Hz.
The Viscosity Criterion is applied. The maximum viscosity result is the maximum value for the viscosity criterion at any rib, calculated from the instantaneous product of the relative compression of the thorax with respect to the semi thorax and the compression speed derived by compression differentiation, filtered with a channel frequency class of 180 Hz. The normalized width of the half-thoracic cage is considered as 140 mm. Where D (in m) is the rib deformation:
The performance criteria for the thorax shall be:
(a) in the case of the rib deformation criterion, less than or equal to 42 mm.
(b) in the case of the soft tissue criterion (viscosity criterion, VC), less than or equal to 1,0 m/s.
During a transitional period of two years from the date specified in the Regulation, the Viscosity Criterion value shall not be a determining value for passing the approval test but shall be recorded in the test report and registered by the approval authority. After the transitional period has elapsed, the Viscosity Criterion value of 1,0 m/s shall be applied as a pass criterion.
The following chest injury criteria values were obtained in the upper, middle, and lower rib area with MADYMO software:
Table 15.
Rib compression and VC (Viscosity Criterion) for each of the configurations analyzed.
Table 15.
Rib compression and VC (Viscosity Criterion) for each of the configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| Upper Rib Compr. (mm) |
59,47 |
52,24 |
55,08 |
75,90 |
67,26 |
| Mid Rib Compr. (mm) |
69,51 |
46,13 |
48,39 |
48,82 |
42,25 |
| Lower Rib Comp. (mm) |
68,70 |
56,66 |
64,15 |
38,37 |
30,18 |
| Upper Rib VC (m/s) |
1,57 |
1,38 |
1,33 |
3,71 |
2,61 |
| Mid Rib VC (m/s) |
1,94 |
1,15 |
1,34 |
1,46 |
1,03 |
| Lower Rib VC (m/s) |
2,14 |
1,78 |
2,43 |
1,06 |
0,57 |
VC value in the upper part of the ribs reaches the lowest value in the case of configuration 2 and the maximum value in the case of configuration 1 with shock absorbers. In the middle part of the ribs, it reaches the lowest value for the case of configuration 2 with shock absorbers and the maximum value in the case of the combustion vehicle. While in the lower part of the ribs it reaches the lowest value in the case of configuration 2 with shock elements and the maximum value in the case of configuration 2.
Figure 29.
VC at upper ribs for each of the configurations analyzed.
Figure 29.
VC at upper ribs for each of the configurations analyzed.
Figure 30.
VC at mid ribs for each of the configurations analyzed.
Figure 30.
VC at mid ribs for each of the configurations analyzed.
Figure 31.
VC at low ribs for each of the configurations analyzed.
Figure 31.
VC at low ribs for each of the configurations analyzed.
3.4.3. Analysis of Abdomen Injuries
According to ECE Regulation R95, the maximum force on the abdomen is the maximum value of the sum of the three forces measured by transducers mounted 39 mm below the surface of the impacted side, with a CFC of 600 Hz.
The abdominal performance criterion according to ECE Regulation R95 states a maximum force on the abdomen that must be less than or equal to 2,5 kN of internal force (equivalent to an external force of 4,5 kN).
Table 16.
APF value (maximum force in the abdomen) for each of the configurations analyzed.
Table 16.
APF value (maximum force in the abdomen) for each of the configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| APF (N) |
9.168,0 |
1.277,0 |
1.539,9 |
1.707,0 |
1.558,9 |
It is observed that the inclusion of the traction battery greatly reduces the value of the maximum force in the abdomen (APF), reaching values that are below the injury threshold value (2.5 kN). The minimum value is reached in the case of configuration 1.
Figure 32.
APF value for each of the configurations analyzed.
Figure 32.
APF value for each of the configurations analyzed.
3.4.4. Analysis of Pelvis Injuries
According to ECE Regulation R95, the maximum force on the pubic symphysis is the maximum force measured by means of a load cell on the pubic symphysis of the pelvis, filtered with a channel frequency class of 600 Hz.
The criterion for the pelvic behavior according to ECE Regulation R95 states the maximum force on the pubic symphysis that must be less than or equal to 6 kN.
Table 17.
Maximum value of maximum force on the pubic symphysis (PSPF) for each of the configurations analyzed.
Table 17.
Maximum value of maximum force on the pubic symphysis (PSPF) for each of the configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| PSPF (N) |
5792,11 |
4.609,2 |
4.864,3 |
3.323,9 |
2.642,9 |
Including the traction battery, regardless of the configuration, reduces the PSPF value. However, it is below the injury threshold (6 kN) for all cases. The configuration with the lowest PSPF value is configuration 2 with shock absorbers.
Figure 33.
PSPF value for each of the configurations analyzed.
Figure 33.
PSPF value for each of the configurations analyzed.
Modifying parameters of the EuroNCAP assessment protocol, Backplate force, T12 vertebra force and T12 vertebra moment, are also obtained.
Table 18.
Value of the modifier parameters for each of the configurations analyzed.
Table 18.
Value of the modifier parameters for each of the configurations analyzed.
| |
Without battery |
Config.1 |
Config.2 |
Config.1 with shock absorbing elements |
Config.2 with shock absorbing elements |
| Fy force in Backplate |
3.648,2 |
797,77 |
1.194,1 |
3722,3 |
954,81 |
| Fy force in T12 |
10.493,0 |
3.161,2 |
5.071,2 |
7.036,6 |
6.576,8 |
| Mx torque in T12 |
630,57 |
305,85 |
310,55 |
379,45 |
335,50 |
Figure 34.
Fy in the Blackplate for each of the configurations analyzed.
Figure 34.
Fy in the Blackplate for each of the configurations analyzed.
It is observed that the inclusion of the traction battery reduces the value of the force on the backplate, reaching the lowest value in the case of configuration 1.
Figure 35.
Fy at the T12 vertebra for each of the configurations analyzed.
Figure 35.
Fy at the T12 vertebra for each of the configurations analyzed.
It can be observed that the inclusion of the traction battery reduces the value of the Fy of the T12 vertebra, reaching the lowest value in the case of configuration 1, and reduces the value of the Mx of the T12 vertebra, reaching the lowest value in the case of configuration 1.
Figure 36.
Mx at the T12 vertebra for each of the configurations analyzed.
Figure 36.
Mx at the T12 vertebra for each of the configurations analyzed.