<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OALibJ</journal-id><journal-title-group><journal-title>Open Access Library Journal</journal-title></journal-title-group><issn pub-type="epub">2333-9705</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/oalib.1104754</article-id><article-id pub-id-type="publisher-id">OALibJ-86153</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Biomedical&amp;Life Sciences</subject><subject> Business&amp;Economics</subject><subject> Chemistry&amp;Materials Science</subject><subject> Computer Science&amp;Communications</subject><subject> Earth&amp;Environmental Sciences</subject><subject> Engineering</subject><subject> Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject><subject> Social Sciences&amp;Humanities</subject></subj-group></article-categories><title-group><article-title>
 
 
  Optimization of AEB Key Parameters in Car to Electric-Two-Wheeler Accidents
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sumin</surname><given-names>Tang</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Shanghai University of Engineering Science, Shanghai, China</addr-line></aff><author-notes><corresp id="cor1">* E-mail:</corresp></author-notes><pub-date pub-type="epub"><day>05</day><month>07</month><year>2018</year></pub-date><volume>05</volume><issue>07</issue><fpage>1</fpage><lpage>10</lpage><history><date date-type="received"><day>4,</day>	<month>July</month>	<year>2018</year></date><date date-type="rev-recd"><day>21,</day>	<month>July</month>	<year>2018</year>	</date><date date-type="accepted"><day>24,</day>	<month>July</month>	<year>2018</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  In order to determine the optimal value of key parameters of automatic emergency braking (AEB) system, an optimization method based on real accident simulation is proposed. Accident reconstruction of 65 car to electric-two-wheeler collision accidents was carried out by using PC-Crash. According to the different parameter values of AEB system radar, the virtual accident reconstruction results are obtained. The optimal value of key AEB parameters was determined by comparing the accident avoidance rate. The results show that: based on these 65 real rear end collisions, the final optimization results o
  f the radar detection angle and detection distance in the AEB system are 90&#176; and 120 m respectively.
 
</p></abstract><kwd-group><kwd>AEB</kwd><kwd> Car to Electric-Two-Wheeler Accident</kwd><kwd> Radar</kwd><kwd> Key Parameters</kwd><kwd>  Simulation</kwd><kwd> Optimization</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In recent years, the sales volume and ownership of electric two-wheeled vehicles continue to increase [<xref ref-type="bibr" rid="scirp.86153-ref1">1</xref>] , which not only aggravates the current situation of traffic congestion, but also leads to frequent accidents of electric two-wheeled vehicles and the consequences are often very serious. Research shows that under dangerous conditions, if the driver has 0.5 s of pretreatment time, the collision accident can be reduced by 30% [<xref ref-type="bibr" rid="scirp.86153-ref2">2</xref>] . Automatic Emergency Braking (AEB) system can issue an alarm and implement braking intervention before the occurrence of a collision to minimize the occurrence or damage [<xref ref-type="bibr" rid="scirp.86153-ref3">3</xref>] . Foreign scholars have studied the performance and utility of AEB system by using specific cases and depth data of traffic accidents, aiming at developing AEB system which is suitable for its own road environment and traffic conditions through simulation test. American scholar [<xref ref-type="bibr" rid="scirp.86153-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.86153-ref5">5</xref>] establishes a typical accident case through an independent accident case study and proposes a AEB system for the analysis of rear end collision accidents based on the database of National Automotive Sampling System (NASS) and vehicle collision data system (Crashworthiness Data System, CDS) in the United States. Australian scholars [<xref ref-type="bibr" rid="scirp.86153-ref6">6</xref>] conducted in-depth studies on accidents and evaluated the potential utility of AEB system based on accident reconstruction and simulation. German scholars [<xref ref-type="bibr" rid="scirp.86153-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.86153-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.86153-ref9">9</xref>] based on the German In-Depth Accident Study (GIDAS) database, evaluated the potential utility of automobile active safety technology through accident simulation. Domestic researches on AEB system mainly focus on simulation test and control strategy. Lijun Jiang et al. [<xref ref-type="bibr" rid="scirp.86153-ref10">10</xref>] combined the real dangerous working conditions and accident working conditions data collected by the driving recorder in China to analyze and obtain the test conditions of AEB for rear-end avoidance. Xiaofei Dong et al. [<xref ref-type="bibr" rid="scirp.86153-ref11">11</xref>] , based on the real dangerous working data in China, obtained the characteristics of the driver’s reaction time, braking speed reduction, collision time (Time To Collision, TTC), workshop time (Time Headway, THW), TTC<sup>−1</sup> (TTC reciprocal) and other parameters under dangerous working conditions. However, there is no AEB system applicable to China’s road traffic environment and conditions in China. In this paper, the algorithm and model of AEB system are established based on the specific case of the collision between cars and electric two-wheeled vehicles in China’s road traffic environment. Combined with the accident reconstruction data of PC-Crash, the performance and utility of AEB system were investigated in each accident case, and the key parameters of AEB system were studied with radar parameters as an example, to determine the optimal parameter combination of AEB system for China’s road traffic environment and provide references for the development of AEB system for the Chinese market.</p></sec><sec id="s2"><title>2. Data Basis</title><p>The accident cases involved in this paper come from the data collected by the National Automobile Accident In-depth Investigation System (NAIS) In the Songjiang area in the past five years (see <xref ref-type="table" rid="table1">Table 1</xref>). The basic form of these cases, the damage characteristics and collision speed is analyzed, and car-electric two rounds of the typical working condition of the car collision accident, for subsequent AEB system key parameters and utility of the study provides basic data support.</p><p>In order to screen out typical car-electric two wheel vehicle accident conditions, this paper mainly statistics the accident location, collision form and collision area, in order to explore its distribution characteristics. Through the</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Car to electric-two-wheeled vehicle typical accident condition</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Accident condition</th><th align="center" valign="middle" >Example of accident condition</th><th align="center" valign="middle" >Case ratio</th><th align="center" valign="middle" >The cause of the depth of the accident</th></tr></thead><tr><td align="center" valign="middle" >The car goes straight, the electric two wheeled vehicle enters from the right side (A1).</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/86153x2.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >32%</td><td align="center" valign="middle" >84%: electric bicycles do not travel according to the regulations; 11%: the attention of the car driver is not concentrated; 5%: the car driver’s vision is blocked</td></tr><tr><td align="center" valign="middle" >The car goes straight, the electric two wheeled vehicle moves from the left to the left (B1).</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/86153x3.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >42%</td><td align="center" valign="middle" >75%: electric bicycles do not travel according to the regulations; 15%: car drivers do not slow down; 10%: the brake of the car driver is not in time</td></tr></tbody></table></table-wrap><p>classification and statistics of the basic information of the accident cases, the distribution map of the accident location (<xref ref-type="fig" rid="fig1">Figure 1</xref>) and the distribution map of the collision pattern are obtained (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><p>As you can see from <xref ref-type="fig" rid="fig1">Figure 1</xref>, car to electric-two-wheel accidents occur at intersections: 53.85% at crossroads and 21.54% in T-junction accidents. Observation <xref ref-type="fig" rid="fig2">Figure 2</xref> shows that the collision of cars and electric two wheels is mainly the side collision of the car and the electric two wheels, that is, the side of the electric two wheels on the front of the car. According to <xref ref-type="fig" rid="fig1">Figure 1</xref>, <xref ref-type="fig" rid="fig2">Figure 2</xref>, we can see that the accident pattern is mainly the side collision accident at the intersection.</p><p>In order to study the collision area specifically, as shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, in the 65 car-electric bicycle cases, the ratio of collision to the left or right side of the car is about 23% and 25%, and the proportion of the collision with the front of the car is about 52% and the largest proportion. In <xref ref-type="fig" rid="fig4">Figure 4</xref>, there were 62 accidents in the green markings, about 95%. According to the above analysis, the following two typical accidents of car electric two wheeled vehicle are shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p></sec><sec id="s3"><title>3. Simulation Research Scheme</title><p>PC-Crash is an application software for accident reconstruction and reconstruction using momentum and impulse. This paper chooses the software to carry out simulation research. First of all, the PC-Crash software is used to reconstruct the accident cases in 65 cases (see <xref ref-type="fig" rid="fig5">Figure 5</xref>) to obtain the motion response and movement process of the vehicle before the collision, the collision moment and after the collision, and reproduces the accident process. Secondly, each case is simulated again through the modification of AEB system parameters, and the virtual accident result is obtained (see <xref ref-type="fig" rid="fig6">Figure 6</xref>). By comparing the parameters of the radar to avoid the utility of the accident, the optimum parameters of the radar parameters of the AEB system are determined. In the study of the key parameters of the AEB system, the accident avoidance rate under the system is used as the evaluation condition of the AEB system, and the optimal value of the</p><p>key parameters is obtained by the collision avoidance performance of the AEB system as a measure. The rate of accident avoidance is defined as:</p><p>Accident avoidance rate = The number of the AEB system to avoid accidents successfully Total number of accidents &#215; 100 %</p><p>The use of multistage braking can help the AEB system to intervene more comfortably and smoothly in dangerous conditions. The braking effect is stronger, the rate of speed decreases is greater, and the performance of collision avoidance is better than single stage braking [<xref ref-type="bibr" rid="scirp.86153-ref12">12</xref>] . Therefore, the AEB system adopts the two stage braking strategy, referring to the maximum adhesion coefficient of the general pavement, the partial braking level reduction of typical car to human AEB system in the PreScan manual, and the typical AEB system parameter setting in the market, and considering the effect of minimizing the impact of TTC on the simulation of radar parameters, setting the AEB two. The brake part parameters are shown in <xref ref-type="table" rid="table2">Table 2</xref> (TTC corresponding to the two level brake is TTC1 and TTC2 respectively). In actual simulation, the deceleration of vehicles is restricted by the actual road adhesion conditions in each sample.</p><p>In the process of radar detection, the greater the detection angle and detection distance, the greater the impact on the detection quality and detection efficiency, and the higher the possibility of generating error signals and interference. At the same time, the setting of detection angle and detection distance also needs to be realized within the actual radar detection technology. In this paper, based on the existing radar products on the market, within the range of detection technology can support maximum play to the AEB collision avoidance performance of the system as the principle, the radar detection Angle and distance were analyzed, and the two key parameters to determine the optimal values of key parameters of radar.</p><p>The key parameters of the typical radar are shown in <xref ref-type="table" rid="table3">Table 3</xref>, so that the key parameters range of the existing products can be understood. The values of the set angle are 10, 20, 30, 40, 50 and 90, respectively. The detection angle of 90 degrees can only be achieved within the detection distance of less than 60 m in the actual radar products. It does not have enough detection ability for a long distance. The results of the simulation can only be used as comparison and reference. The setting range of detection is 40 m, 60 m, 80 m, 100 m, 120 m, 150 m, 180 m, 210 m and 250 m respectively.</p><p>For the detection angle and detection distance, control variables and separate research methods are adopted to discuss their impact on collision avoidance respectively. The simulation process, as shown in <xref ref-type="fig" rid="fig5">Figure 5</xref>, shows the optimal values of detection angles and detection distances obtained in the simulation process as RTA (Radar Test Angle) and RTD (Radar Test Distance), RTD initial value RTD (0) = 100 m (the intermediate value of the range of radar product detection range in the market).</p></sec><sec id="s4"><title>4. Analysis of Simulation Results</title><p>1) Results</p><p>According to the flow chart shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>, the optimal combination of radar parameters is RTD = 120 m, RTA = 90˚, and the simulation ends.</p><p>2) DISCUSSION</p><p>RTD = 120 m was set to simulate the radar detection angle.</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Parameter setting of two-stage brake</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Project</th><th align="center" valign="middle" >set value</th></tr></thead><tr><td align="center" valign="middle" >Emergency brake level reduction/m∙s<sup>−2</sup></td><td align="center" valign="middle" >7.5</td></tr><tr><td align="center" valign="middle" >Partial brake level reduction/m∙s<sup>−2</sup></td><td align="center" valign="middle" >3.5</td></tr><tr><td align="center" valign="middle" >TTC1/s</td><td align="center" valign="middle" >2.0</td></tr><tr><td align="center" valign="middle" >TTC2/s</td><td align="center" valign="middle" >1.5</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Summary of key parameters of typical radar</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >brand</th><th align="center" valign="middle" >Radar products</th><th align="center" valign="middle" >Detection angle/(˚)</th><th align="center" valign="middle" >Detection distance/(m)</th></tr></thead><tr><td align="center" valign="middle"  rowspan="2"  >Bosch</td><td align="center" valign="middle" >Medium range radar sensor (MRR)</td><td align="center" valign="middle" >42</td><td align="center" valign="middle" >160</td></tr><tr><td align="center" valign="middle" >Long-range radar sensor (LRR)</td><td align="center" valign="middle" >30</td><td align="center" valign="middle" >250</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Delphi</td><td align="center" valign="middle" >Electronic scanning radar (ESR) Medium distance large angle mode</td><td align="center" valign="middle" >90</td><td align="center" valign="middle" >60</td></tr><tr><td align="center" valign="middle" >ESR Remote small angle mode</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >174</td></tr></tbody></table></table-wrap><p>The accident avoidance rate of each typical working condition under different detection angles is shown in <xref ref-type="fig" rid="fig8">Figure 8</xref>. Along with the rising of the detection Angle, for overall accident collision avoid rate increased from 81.8% to 93.6% (RTA = 90˚) <xref ref-type="fig" rid="fig6">Figure 6</xref> different detection angle under the conditions of various typical working conditions to avoid accident rate.</p><p>1) Results</p><p>When the detection distance is set to an ideal value of 120 m and the detection angle increases from 10 to 90 degrees, the overall avoidance rate gain of the accident is 11.8 percentage points (from 81.8% to 93.6%), while the detection angle increases from 10 to 90, so the optimal value of the probe angle is 90.</p><p>2) Discussion</p><p>Set RTA = 40 degrees to simulate the detection distance.</p><p>The accident avoidance rate of each typical working condition at different detection distances is shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>. When the detection Angle is 90˚, 120 m maximizes the AEB under the detection range of collision avoidance performance of the system. When the detection distance reaches 120 m, the increase of detection distance will no longer generate gain for the overall collision avoidance rate and accident avoidance rate of various typical accident conditions. <xref ref-type="fig" rid="fig7">Figure 7</xref> accident avoidance rates at different detection distances under typical operating conditions.</p><p>When the detection Angle to achieve the optimal value of 90˚, 120 m of the detection range will still be able to play to the greatest extent under different conditions the collision avoidance of the AEB system performance, and get the optimal value detection Angle 90˚ set the detection range of initial value. Therefore, the optimal radar detection distance in AEB system is set at 120 m.</p><p>So far, the optimal value of the key parameters of the radar has all been produced. Under such parameter setting, the collision avoidance performance of AEB system can be maximized in different typical working conditions, which is the optimal parameter combination obtained from the study of radar key parameters.</p></sec><sec id="s5"><title>5. Conclusions</title><p>This paper analyzes the characteristics of 65 cars to electric two wheelers collision accidents, and uses PC-Crash to reconstruct accidents. On this basis, taking the radar parameters as an example, the AEB system is intervened under different parameters, and the virtual reconstruction results of each accident are re-obtained. Through the analysis of the accident avoidance rate after AEB</p><p>system intervention under different parameters, the optimized combination of radar detection angle and detection distance of AEB system is 90 and 120 m, and the overall accident avoidance rate of the accident is 93.6% under the combination of the parameters.</p><p>In the research process, the sample size is small, the influence of weather factors on the sensor model is not considered, and the driver model is not added. In the further study, the acquisition range and the rich sample capacity will be expanded, and the driver model and the AEB system early warning function will be added to the driver police. The result is more accurate.</p></sec><sec id="s6"><title>Cite this paper</title><p>Tang, S.M. (2018) Optimization of AEB Key Parameters in Car to Electric-Two-Wheeler Accidents. 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