CN110491154A - Suggestion speed formulating method based on security risk and distance - Google Patents
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Abstract
本发明公开了一种基于安全风险和距离的建议车速制定方法,包括:获取道路交通流条件、道路特征条件、天气条件;将交通流数据、道路特征数据和天气数据进行融合与匹配,通过交通风险评估模型计算交通风险;利用交通风险评估模型得到的交通风险值进行聚类,实施交通风险预警分级;计算基于交通风险分布的安全车速,根据不同条件下的交通风险分布,选取交通风险值小于等于0.2的交通流状态作为安全车速确定范围,将该状态下车辆运行速度的第85%位车速作为安全行驶车速;计算基于停车视距(如无严格实物分隔的道路需计算会车视距)的安全行驶车速;对比两种方法得到的道路安全行驶车速,给出不同条件(包括天气条件、道路条件等)下道路的建议车速。
The invention discloses a method for formulating a suggested vehicle speed based on safety risks and distances, comprising: acquiring road traffic flow conditions, road characteristic conditions, and weather conditions; integrating and matching traffic flow data, road characteristic data, and weather data; The risk assessment model calculates the traffic risk; the traffic risk value obtained by the traffic risk assessment model is used for clustering, and the traffic risk early warning classification is implemented; the safe speed based on the traffic risk distribution is calculated, and according to the traffic risk distribution under different conditions, the traffic risk value less than The traffic flow state equal to 0.2 is used as the safe speed determination range, and the 85th percentile speed of the vehicle running speed in this state is regarded as the safe driving speed; the calculation is based on the stopping sight distance (for example, the road without strict physical separation needs to calculate the passing sight distance) The safe driving speed of the road; compare the road safe driving speed obtained by the two methods, and give the suggested speed of the road under different conditions (including weather conditions, road conditions, etc.).
Description
技术领域technical field
本发明属于交通安全管理领域,尤其涉及一种基于安全风险和距离的建议车速制定方法。The invention belongs to the field of traffic safety management, in particular to a method for formulating suggested vehicle speeds based on safety risks and distances.
背景技术Background technique
近年来,我国道路交通基础设施的建设不断加快,通车里程不断增加。道路交通带来巨大的社会经济效益的同时,交通事故问题也越来越受到社会的关注。在道路交通安全管理中,车速管理是重要的管理策略。In recent years, the construction of my country's road transportation infrastructure has been accelerating, and the mileage of traffic has continued to increase. While road traffic has brought huge social and economic benefits, the problem of traffic accidents has also attracted more and more attention from the society. In road traffic safety management, vehicle speed management is an important management strategy.
通常来讲,驾驶员会在行驶过程中依据道路条件、车流状况、所驾驶车辆性能等因素经综合考虑后形成心理上自认为的安全行驶车速,即主观期望车速。但实际交通流受人、车、路、环境等多种因素的影响,驾驶员的主观期望车速并非真正的安全车速。相关研究表明,交通流平均车速与安全车速越接近,风险越低;个体期望车速与交通流车速越接近,风险越低。现有的车速管理往往采用最高限速策略,通过停车视距、会车视距和道路超高的分析进行确定,缺乏对环境等可变因素的考虑,且无法随环境的变化而实时动态变化。Generally speaking, the driver will form a psychologically considered safe driving speed, that is, the subjective expected speed, after comprehensive consideration of factors such as road conditions, traffic conditions, and the performance of the vehicle he is driving during the driving process. However, the actual traffic flow is affected by many factors such as people, vehicles, roads, and the environment, and the driver's subjective expectation speed is not the real safe speed. Related studies have shown that the closer the average traffic flow speed is to the safe speed, the lower the risk; the closer the individual expected speed is to the traffic flow speed, the lower the risk. Existing vehicle speed management often adopts the highest speed limit strategy, which is determined through the analysis of parking sight distance, meeting vehicle sight distance and road superelevation, lacks consideration of variable factors such as the environment, and cannot be dynamically changed in real time with changes in the environment .
因此,需要一种基于安全风险和距离的建议车速制定方法,在特定的道路、环境、交通组成的综合情境下,给出驾驶员能够保持安全行驶所建议采取的最大车速,即客观建议车速,以满足道路交通安全的要求。Therefore, there is a need for a method for formulating suggested vehicle speeds based on safety risks and distances. In a comprehensive situation composed of specific roads, environments, and traffic, the maximum vehicle speed recommended for the driver to maintain safe driving is given, that is, the objective suggested vehicle speed. To meet the requirements of road traffic safety.
发明内容Contents of the invention
本发明的目的在于提供一种基于安全风险和距离的建议车速制定方法,克服现有最高限速策略中缺乏对环境等可变因素考虑的不足,实时动态制定建议车速,从而确保道路交通安全。The purpose of the present invention is to provide a suggested vehicle speed formulation method based on safety risks and distances, which overcomes the lack of consideration of variable factors such as the environment in existing maximum speed limit strategies, and dynamically formulates suggested vehicle speeds in real time, thereby ensuring road traffic safety.
本发明的主要特征在于,通过交通安全风险评估,划分交通风险预警等级,根据不同条件下的交通风险分布,依照交通风险预警等级确定不同条件下的安全车速。同时,利用停车视距原理(已知技术)确定不同条件下的安全车速。对比两种方法得到的安全车速,对安全车速进行修正,给出道路建议车速。The main feature of the present invention is that traffic risk early warning levels are divided through traffic safety risk assessment, and safe vehicle speeds under different conditions are determined according to traffic risk early warning levels according to traffic risk distribution under different conditions. At the same time, the safe vehicle speed under different conditions is determined by using the principle of parking sight distance (known technology). Comparing the safe vehicle speed obtained by the two methods, correcting the safe vehicle speed, and giving the suggested road speed.
为解决上述技术问题,本发明提供了一种基于安全风险和距离的建议车速制定方法,包括以下步骤:In order to solve the above technical problems, the present invention provides a method for formulating a suggested vehicle speed based on safety risks and distances, comprising the following steps:
步骤一,获取交通流状态条件、道路特征条件、天气条件、历史交通事故等信息Step 1: Obtain information such as traffic flow status conditions, road characteristic conditions, weather conditions, and historical traffic accidents
所述交通流状态条件主要包括流量、车速、占有率数据,所述道路特征条件主要包括道路线形、路段类型数据,所述天气条件主要包括降雨量、降雪量、能见度、风向、风速等数据;历史交通事故包括事故信息包括事故发生时间、发生地点、行车方向、事故类型和事故等级等。The traffic flow state conditions mainly include flow rate, vehicle speed, occupancy rate data, the road characteristic conditions mainly include road alignment, road section type data, and the weather conditions mainly include data such as rainfall, snowfall, visibility, wind direction, and wind speed; Historical traffic accidents include accident information including accident time, place, driving direction, accident type and accident level, etc.
步骤二,交通安全风险评估Step 2, Traffic Safety Risk Assessment
将步骤一获取的交通流数据、道路特征数据、气象数据和交通事故数据进行融合与匹配,作为输入数据,构建交通风险评估模型计算各时时间点交通风险,得到交通风险值;The traffic flow data, road characteristic data, meteorological data and traffic accident data obtained in step 1 are fused and matched as input data, and a traffic risk assessment model is constructed to calculate the traffic risk at each time point and obtain the traffic risk value;
步骤三,交通风险预警分级Step 3, traffic risk early warning classification
利用步骤二交通风险评估模型得到的交通风险值进行聚类,将道路交通风险进行等级划分,分为几乎无分风险、可允许风险、中度风险、重大风险、不可接受风险5个等级,其中几乎无风险和可允许风险两个等级对应的风险值小于0.2,该将两个等级视为较为安全状态;Use the traffic risk value obtained by the traffic risk assessment model in step 2 to cluster, and classify the road traffic risk into five levels: almost no risk, allowable risk, moderate risk, major risk, and unacceptable risk. The risk values corresponding to the two grades of almost no risk and permissible risk are less than 0.2, and the two grades should be regarded as a relatively safe state;
步骤四,计算基于交通风险分布的道路安全行驶车速Step 4. Calculate the safe driving speed on the road based on the traffic risk distribution
统计所述步骤三安全状态下的交通流状态,对所有车速进行排序,取85%位车速作为安全行驶车速。Count the traffic flow state under the safe state in step 3, sort all the vehicle speeds, and take 85% of the vehicle speed as the safe driving speed.
步骤五,计算基于停车视距(如无严格实物分隔的道路需计算会车视距)的安全行驶车速Step 5. Calculate the safe driving speed based on the parking sight distance (for roads without strict physical separation, the passing sight distance needs to be calculated)
根据基于停车视距和会车视距的安全行驶车速模型(已有技术,利用停车视距原理),通过对能见度及道路纵坡取不同数值,计算得到不同条件下的安全行驶车速;According to the safe driving speed model based on parking sight distance and meeting traffic sight distance (the prior art, utilizing the parking sight distance principle), by getting different values to visibility and road longitudinal slope, the safe driving speed under different conditions is calculated;
步骤六,对比步骤四、步骤五两种方法等到的不同等级条件下道路安全行驶车速,综合考虑不同条件下的交通风险分布和停车视距与会车视距,给出不同等级条件下建议车速。Step 6: Comparing the road safety driving speeds obtained by the two methods of step 4 and step 5 under different grade conditions, comprehensively considering the traffic risk distribution under different conditions and the stopping sight distance and the sight distance of meeting vehicles, the recommended speed under different grade conditions is given.
进一步,步骤三中,所述道路交通安全风险按照风险等级划分的标准可以分为几乎无风险、可允许风险、中度风险、重大风险、不可接受风险5个等级。Further, in Step 3, the road traffic safety risks can be divided into five levels according to risk levels: almost no risk, allowable risk, moderate risk, major risk, and unacceptable risk.
表1风险等级划分标准Table 1 Risk Classification Criteria
进一步,步骤四中,所述计算基于交通风险分布的安全行驶车速,在不同条件下,选取交通风险值小于等于0.2的交通流状态作为安全行驶车速的确定范围,绘制该状态下车速累积分布曲线并计算车辆运行速度的第85%位车速,取整后可得到不同条件下安全行驶车速。Further, in step 4, the calculation is based on the safe driving speed of the traffic risk distribution. Under different conditions, the traffic flow state with a traffic risk value less than or equal to 0.2 is selected as the determination range of the safe driving speed, and the cumulative distribution curve of the vehicle speed in this state is drawn And calculate the 85th percentile speed of the vehicle running speed, and after rounding, the safe driving speed under different conditions can be obtained.
进一步,步骤五中,所述基于停车视距与会车视距的安全行驶车速模型采用以下公式计算:Further, in step five, the safe driving speed model based on the parking sight distance and the meeting vehicle sight distance is calculated by the following formula:
一般情况下,驾驶员发现前面车辆时,前车速度小于本车且处于制动状态,此时后车停车所需的安全距离应满足,In general, when the driver finds the vehicle in front, the speed of the vehicle in front is lower than that of the vehicle and it is in the braking state. At this time, the safety distance required for the vehicle behind to stop should be satisfied.
L1+L2+Ls≤Lv+L3 (1)L 1 +L 2 +L s ≤L v +L 3 (1)
式中,In the formula,
L1——后方车辆驾驶员反应时间内的车辆行驶距离,m;L 1 ——the driving distance of the vehicle within the reaction time of the driver of the rear vehicle, m;
L2——后方车辆制动时间内的行驶距离,m;L 2 ——The driving distance of the rear vehicle within the braking time, m;
Ls——安全距离,一般取值为5~10m,为保障恶劣天气下的行车安全,Ls取值为20m;L s ——safety distance, the general value is 5-10m, in order to ensure driving safety in bad weather, the value of L s is 20m;
Lv——路段的可视距离,m;L v ——Visible distance of road section, m;
L3——前方车辆在驾驶员反应时间和车辆制动时间内的行驶距离,m。L 3 ——The driving distance of the vehicle in front during the driver's reaction time and vehicle braking time, m.
在恶劣天气下,驾驶员有效视距和路面附着系数会发生变化,为了保障车辆的安全行驶,应该考虑最不利的情况,即由于车辆故障、轮胎损坏、抛锚、货物洒落及事故等原因,前方物体的速度为零,车流中出现严重的速度差,后车必须进行紧急制动,此时后车停车所需的安全距离为,In bad weather, the driver's effective sight distance and road adhesion coefficient will change. In order to ensure the safe driving of the vehicle, the most unfavorable situation should be considered, that is, due to vehicle failure, tire damage, breakdown, cargo spillage and accidents, etc. The speed of the object is zero, and there is a serious speed difference in the traffic flow, the vehicle behind must perform emergency braking. At this time, the safety distance required for the vehicle behind to stop is,
L1+L2+Ls≤Lv (2)L 1 +L 2 +L s ≤L v (2)
后方车辆驾驶员反应时间内的车辆行驶距离L1,The driving distance L 1 of the vehicle within the reaction time of the driver of the vehicle behind,
L1=vt1 (3)L 1 = vt 1 (3)
式中,In the formula,
v——后方车辆行驶速度,m/s;v——travel speed of the vehicle behind, m/s;
t1——后方车辆驾驶员反应时间,s。t 1 ——reaction time of the driver of the vehicle behind, in s.
一般情况下驾驶员的反应时间为0.5~1.7s,在恶劣天气下,道路行车环境恶劣,驾驶人员反应时间可能会超过1.7s,t1取值为2.5s。In general, the driver's reaction time is 0.5-1.7s. In bad weather and the road driving environment is harsh, the driver's reaction time may exceed 1.7s, and the value of t 1 is 2.5s.
为充分保障恶劣天气下行车安全,考虑最不利组合情况,即车辆处于下坡路段并忽略空气阻力,后方车辆制动时间内的行驶距离L2,In order to fully guarantee the driving safety in bad weather, the most unfavorable combination is considered, that is, the vehicle is on a downhill road section and the air resistance is ignored, the driving distance L 2 of the rear vehicle braking time,
式中,In the formula,
a——后方车辆减速度,m/s2;a——deceleration of the rear vehicle, m/s 2 ;
f——路面的附着系数;f—adhesion coefficient of the road surface;
i——坡度,%;i——slope, %;
g——重力加速度,取g=9.8m/s2。g—gravitational acceleration, take g=9.8m/s 2 .
将公式(3)和(4)带入公式(2)中可得安全可视距离,Bring formulas (3) and (4) into formula (2) to get the safe viewing distance,
将恶劣天气下的能见度作为可视距离,由公式(5)可计算得到基于停车视距的安全车速,如公式(6)所示,Taking the visibility in bad weather as the visible distance, the safe vehicle speed based on the parking sight distance can be calculated by the formula (5), as shown in the formula (6),
式中,In the formula,
V——安全车速,km/h。V—safe vehicle speed, km/h.
将基于停车视距与会车视距的安全行驶车速模型计算结果与基于交通风险分布的安全行驶车速进行对比,为保障恶劣条件下道路交通安全,选择更低的安全行驶车速作为该条件下的建议车速。Comparing the calculation results of the safe driving speed model based on the parking sight distance and meeting traffic sight distance with the safe driving speed based on the traffic risk distribution, in order to ensure road traffic safety under severe conditions, a lower safe driving speed is selected as a suggestion under this condition speed.
与现有技术相比,本发明主要包括以下优点:Compared with prior art, the present invention mainly comprises following advantage:
1.本发明综合考虑了影响车速的多种因素,包括人、车、路、环境,尤其考虑了交通流条件和天气条件对速度的影响;1. The present invention comprehensively considers various factors affecting the speed of a vehicle, including people, vehicles, roads, and the environment, especially considering the influence of traffic flow conditions and weather conditions on speed;
2.本发明引入交通安全风险作为建议车速制定的主要依据,从影响交通安全风险的因素出发,能够从根本上提高道路交通安全水平;同时利用基于停车视距与会车视距计算的安全行驶车速对建议车速进行修正,保证了车辆行驶的安全;2. The present invention introduces the traffic safety risk as the main basis for the formulation of the suggested vehicle speed. Starting from the factors that affect the traffic safety risk, the road traffic safety level can be fundamentally improved; meanwhile, the safe driving speed calculated based on the parking sight distance and the meeting traffic sight distance is utilized. Correct the suggested speed to ensure the safety of the vehicle;
3.本发明能够实现实时动态制定建议车速,引导驾驶员按建议车速行驶,减少速度差异、降低交通安全风险、提高道路交通安全水平。3. The present invention can realize real-time dynamic formulating of suggested vehicle speeds, guide drivers to drive at suggested speeds, reduce speed differences, reduce traffic safety risks, and improve road traffic safety levels.
附图说明Description of drawings
图1是本发明实施例提供的基于安全风险和距离的建议车速制定方法的步骤。Fig. 1 shows the steps of a method for formulating a suggested vehicle speed based on safety risks and distances provided by an embodiment of the present invention.
图2是本发明实施例提供的基于安全风险和距离的建议车速制定流程图。Fig. 2 is a flow chart for formulating suggested vehicle speeds based on safety risks and distances provided by an embodiment of the present invention.
图3实施例交通风险时变图Fig. 3 time-varying diagram of traffic risk in the embodiment
图4实施例交通风险等级聚类结果Figure 4 Example Traffic Risk Level Clustering Results
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be further described in detail below in conjunction with the examples. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
下面结合附图对本发明的应用原理作详细的描述。The application principle of the present invention will be described in detail below in conjunction with the accompanying drawings.
如图1所示,本发明实施例提供的基于安全风险和距离的建议车速制定方法。As shown in FIG. 1 , the embodiment of the present invention provides a method for formulating a suggested vehicle speed based on safety risks and distances.
下面结合具体实施例对本发明的应用原理作进一步的描述。The application principle of the present invention will be further described below in combination with specific embodiments.
实施例1:Example 1:
本发明实施例提供的恶劣天气条件下建议车速制定方法,以G15沈海高速(上海段)数据为例进行计算。The method for formulating the recommended vehicle speed under severe weather conditions provided by the embodiment of the present invention is calculated by taking the data of the G15 Shenhai Expressway (Shanghai section) as an example.
(1)获取交通流状态条件、道路特征条件、天气条件等信息(1) Obtain information such as traffic flow state conditions, road characteristic conditions, weather conditions, etc.
G15沈海高速(上海段)是上海市西部地区的一条南北向高速公路,北起嘉定区与太仓市的交界处,接沈海高速(江苏段)沪苏省界,南至金山区与平湖市的交界处,与沈海高速(浙江段)相交,向西南依次经过嘉定区,青浦区,松江区和金山区。G15沈海高速(上海段)位置正处在上海S20外环高速与G1501上海绕城高速之间。G15 Shenhai Expressway (Shanghai section) is a north-south expressway in the western part of Shanghai, starting from the junction of Jiading District and Taicang City in the north, connecting Shenhai Expressway (Jiangsu Section) to the Shanghai-Suzhou border, and south to Jinshan District and Pinghu At the junction of the city, it intersects with Shenhai Expressway (Zhejiang section), and passes through Jiading District, Qingpu District, Songjiang District and Jinshan District in turn to the southwest. G15 Shenhai Expressway (Shanghai Section) is located between Shanghai S20 Outer Ring Expressway and G1501 Shanghai Ring Expressway.
G15沈海高速上海段共布设12组线圈检测器,线圈检测器原始数据的采样间隔为5分钟,包含每个车道的感应线圈编号、采集时间、数据有效性、流量、速度、占有率以及分车型的流量、速度、占有率等信息。A total of 12 sets of coil detectors are deployed in the Shanghai section of G15 Shenhai Expressway. The sampling interval of the original data of the coil detectors is 5 minutes, including the induction coil number, collection time, data validity, flow rate, speed, occupancy rate and analysis of each lane. Vehicle traffic, speed, occupancy rate and other information.
G15沈海高速(上海段)交通事故数据的采集时间为2013年1月1日至2013年12月31日,共采集事故255起。经过删除部分信息不完整的事故数据后,最终提取了193起交通事故。事故信息包括事故发生时间、发生地点、行车方向、事故类型和事故等级等。The traffic accident data of G15 Shenhai Expressway (Shanghai Section) was collected from January 1, 2013 to December 31, 2013, and a total of 255 accidents were collected. After deleting some accident data with incomplete information, 193 traffic accidents were finally extracted. Accident information includes accident time, place, driving direction, accident type and accident level, etc.
G15沈海高速(上海段)沿线共计布设5个自动气象站,每个自动气象站可以采集每1分钟的温度、湿度、雨量、气压、风速风向、能见度等气象要素。A total of 5 automatic weather stations are deployed along the G15 Shenhai Expressway (Shanghai Section), and each automatic weather station can collect meteorological elements such as temperature, humidity, rainfall, air pressure, wind speed and direction, and visibility every 1 minute.
交通流状态条件数据以及道路特征条件等可以从上海市路网运行中心获取。气象信息可从上海是气象局获取。Traffic flow state condition data and road characteristic conditions can be obtained from Shanghai Road Network Operation Center. Meteorological information can be obtained from the Shanghai Meteorological Bureau.
(2)建立恶劣天气高速公路交通安全风险评估模型(2) Establishing a severe weather highway traffic safety risk assessment model
恶劣天气对交通风险的影响因素主要有两个方面进行考虑:There are two main considerations for the influence factors of severe weather on traffic risk:
第一是能见度的变化,驾驶人的视线会受到显著的影响,进而影响驾驶人对于行驶车辆间距的判断;The first is the change of visibility, the driver's line of sight will be significantly affected, which in turn will affect the driver's judgment on the distance between vehicles;
第二是路面附着系数的变化,使得车辆轮胎与地面的摩擦变化,驾驶人为保证车辆的安全行驶,车速会发生明显的变化。The second is the change of the adhesion coefficient of the road surface, which makes the friction between the vehicle tire and the ground change, and the driver will obviously change the speed of the vehicle in order to ensure the safe driving of the vehicle.
高速公路交通风险评估模型的构建采用贝叶斯Logistic回归模型的方法;贝叶斯Logistic回归的公式如下:The construction of the expressway traffic risk assessment model adopts the method of Bayesian Logistic regression model; the formula of Bayesian Logistic regression is as follows:
yi~Bernoulli(pi)y i ~Bernoulli(p i )
式中,In the formula,
pi——交通事故发生的概率;p i —the probability of traffic accidents;
ηi——效用函数;η i ——utility function;
xji——样本i中变量k的值;x ji - the value of variable k in sample i;
β0——回归截距;β 0 ——regression intercept;
βj——解释变量k的回归系数。β j ——regression coefficient of explanatory variable k.
模型的似然函数表达式如下:The expression of the likelihood function of the model is as follows:
模型中的参数均采用无信息先验概率分布:The parameters in the model all adopt the uninformative prior probability distribution:
通常具有大方差的先验分布可以代表无信息先验概率分布,令μj=0,代表模型中的参数没有先验信息。Usually a prior distribution with a large variance can represent an uninformative prior probability distribution, let μ j =0, Represents no prior information about the parameters in the model.
根据贝叶斯定理,参数的后验联合概率密度分布正比例与似然函数和先验概率分布的乘积,即:According to Bayes' theorem, the posterior joint probability density distribution of the parameter is proportional to the product of the likelihood function and the prior probability distribution, namely:
以G15沈海高速(上海段)的数据进行交通风险评估模型建模,采用非配对病例-对照研究方法提取正常情况下的交通流数据和天气数据,事故和正常数据采取1:4的比例。利用随机森林算法,筛选模型变量,最终模型中的变量如表2所示。The data of G15 Shenhai Expressway (Shanghai Section) was used to model the traffic risk assessment model, and the unmatched case-control research method was used to extract traffic flow data and weather data under normal conditions. The ratio of accident and normal data was 1:4. Using the random forest algorithm to screen the model variables, the variables in the final model are shown in Table 2.
表2变量筛选结果Table 2 Variable screening results
利用R软件的rstanarm包,实现贝叶斯Logistic模型的建立,并通过MCMC方法计算各个回归系数的后验概率分布。模型参数的标定结果如表3所示。Using the rstanarm package of R software, the Bayesian Logistic model was established, and the posterior probability distribution of each regression coefficient was calculated by the MCMC method. The calibration results of the model parameters are shown in Table 3.
表3模型参数标定结果Table 3 Calibration results of model parameters
以G15沈海高速(上海段)某路段为应用案例,采集2013年9月11日全天的数据作为输入数据,通过恶劣天气下高速公路交通风险评估模型计算各时段的交通风险,结果如图3所示。Taking a certain road section of G15 Shenhai Expressway (Shanghai section) as an application case, the data of the whole day on September 11, 2013 was collected as input data, and the traffic risk of each time period was calculated through the expressway traffic risk assessment model under bad weather. The results are shown in the figure 3.
(3)高速公路道路交通风险预警分级(3) Highway road traffic risk early warning classification
高速公路交通风险预警分级采用模糊C-均值聚类算法进行构建;基于样本与C个聚类中心间的加权相似性测度,对目标函数进行迭代最小化,以确定其最佳的类别。目标函数定义如下:The expressway traffic risk early warning classification is constructed by fuzzy C-means clustering algorithm; based on the weighted similarity measure between samples and C cluster centers, the objective function is iteratively minimized to determine the best category. The objective function is defined as follows:
i=1,2,L,ci=1,2,L,c
k=1,2,L,nk=1,2,L,n
且满足条件:And meet the conditions:
0≤uik≤10 ≤ u ik ≤ 1
k=1,2,L,nk=1,2,L,n
i=1,2,L,ci=1,2,L,c
式中,X={x1,x2,L,xn}为聚类样本集合,n是聚类空间的样本个数;V={v1,v2,L,vn}是c个聚类中心,c是聚类的类别数;||xk-vi||表示xk与vi之间的归一化距离;U=[uik]是c×n维的矩阵;uik是第k个样本对i类的隶属度值。In the formula, X={x 1 ,x 2 ,L,x n } is the clustering sample set, n is the number of samples in the clustering space; V={v 1 ,v 2 ,L,v n } is c Clustering center, c is the number of clustering categories; ||x k -v i || represents the normalized distance between x k and v i ; U=[u ik ] is a c×n-dimensional matrix; u ik is the membership degree value of the kth sample to class i.
模糊C-均值聚类法计算步骤如下:The calculation steps of the fuzzy C-means clustering method are as follows:
第1步:根据样本xk划分类的个数c,幂指数m>1和初始隶属度矩阵U(0)=(uik (0)),取[0,1]上的均匀分布随机数来确定U(0)。令l=1表示第1步迭代。Step 1: Divide the number c of classes according to the sample x k , the power exponent m>1 and the initial membership degree matrix U (0) = (u ik (0) ), take a uniformly distributed random number on [0, 1] to determine U (0) . Let l=1 to represent the 1st iteration.
第2步:计算第l步的聚类中心V(l):Step 2: Calculate the cluster center V (l) of step l:
第3步:修正隶属度矩阵U(l),计算目标函数值J(l)。Step 3: Correct the membership degree matrix U (l) and calculate the objective function value J (l) .
i=1,2,L,ci=1,2,L,c
k=1,2,L,nk=1,2,L,n
式中:dik (l)=||xk-vi (l)||。In the formula: d ik (l) =||x k -v i (l) ||.
第4步:对给定的隶属度终止容限εu>0,或目标函数终止容限εJ>0,或对于最大迭代步长Lmax,当max{|uik l-uik (l-1)|}<εu,或当l>1,|J(l)-J(l-1)|<εj有l>Lmax或l>Lmax时,迭代停止,否则l=l+1,然后重复第2步,第3步。Step 4: For a given membership degree termination tolerance ε u >0, or objective function termination tolerance ε J >0, or for the maximum iteration step size L max , when max{|u ik l -u ik (l -1) |}<ε u , or when l>1, |J (l) -J (l-1) |<ε j has l>L max or l>L max , the iteration stops, otherwise l=l +1, then repeat step 2, step 3.
经过上述的循环迭代之后,当目标函数达到最小值时,根据最终的隶属度矩阵U中元素的取值确定所有样本的归属,当时,可将样本xk归为第j类。After the above loop iterations, when the objective function reaches the minimum value, determine the membership of all samples according to the values of the elements in the final membership matrix U, when , the sample x k can be classified as the jth class.
通过模糊C-均值聚类算法,以G15沈海高速(上海段)恶劣天气下高速公路交通风险评估模型计算得到的风险值作为样本特征,根据交通风险确定聚类数为5,将交通风险值进行聚类分析,结果如图4所示。Through the fuzzy C-means clustering algorithm, the risk value calculated by the highway traffic risk assessment model of the G15 Shenhai Expressway (Shanghai section) under severe weather is used as the sample feature, and the number of clusters is determined to be 5 according to the traffic risk, and the traffic risk value The cluster analysis was carried out, and the results are shown in Figure 4.
表4各聚类的最大值和最小值Table 4 The maximum and minimum values of each cluster
依据交通风险值的各聚类类别的最大值、最小值和风险等级划分的标准,确定恶劣天气下高速公路交通不同预警风险等级所对应的交通风险值范围,如表4所示。According to the maximum value, minimum value and risk level division standard of each cluster category of traffic risk value, the range of traffic risk value corresponding to different early warning risk levels of expressway traffic under severe weather is determined, as shown in Table 4.
当交通风险小于0.13时,此时高速公路交通运行处于安全状态。当交通风险大于0.13且小于0.2时,高速公路交通预警风险等级为四级风险,具有潜在发生交通事故的风险。当交通风险大于0.2且小于0.3时,高速公路交通预警风险等级为三级风险,具有交通事故发生的风险,潜伏有伤亡事故发生的风险。当交通风险大于0.3且小于0.4时,高速公路交通预警风险等级为二级风险,交通事故风险的危险性较大,交通事故的发生频率较高或可能性较大,可能发生多人伤害或者会造成多人伤亡。当交通风险大于0.4时,高速公路交通预警风险等级为一级风险,交通事故风险的危险性极大,交通事故发生的可能性极大,一旦发生事故将会造成多人伤亡风险。When the traffic risk is less than 0.13, the expressway traffic operation is in a safe state. When the traffic risk is greater than 0.13 and less than 0.2, the expressway traffic warning risk level is level 4 risk, which has the potential risk of traffic accidents. When the traffic risk is greater than 0.2 and less than 0.3, the expressway traffic early warning risk level is a third-level risk, with the risk of traffic accidents and the potential risk of casualty accidents. When the traffic risk is greater than 0.3 and less than 0.4, the expressway traffic early warning risk level is the second-level risk, the risk of traffic accidents is relatively high, the frequency of traffic accidents is relatively high or the possibility is relatively high, and there may be multiple injuries or accidents. Caused many casualties. When the traffic risk is greater than 0.4, the highway traffic early warning risk level is a first-level risk, the risk of traffic accidents is extremely dangerous, and the possibility of traffic accidents is extremely high. Once an accident occurs, it will cause the risk of many casualties.
表5交通风险预警等级划分Table 5 Classification of traffic risk early warning levels
(4)计算基于交通风险分布的高速公路安全车速(4) Calculate the safe speed of expressway based on traffic risk distribution
参照《高速公路交通气象等级》(QX/T111-2010),雾天等级的划分为能见度大于200m且小于等于500m,能见度大于100m且小于等于200m,能见度大于50m且小于等于100m,能见度小于等于50m,4个等级。在不同雾天等级条件下,选择高速公路交通风险值小于等于0.2的交通流状态计算安全车速,绘制该状态下车速累积分布曲线并计算车辆运行速度的第85%位车速,取整修正后可得到雾天条件下高速公路建议安全车速,为方便高速公路驾驶人员接受和管理部门发布限速信息,给出建议限制车速,如表6所示。Referring to the "Meteorological Grades of Expressway Traffic" (QX/T111-2010), the classification of foggy weather is as follows: the visibility is greater than 200m and less than or equal to 500m, the visibility is greater than 100m and less than or equal to 200m, the visibility is greater than 50m and less than or equal to 100m, and the visibility is less than or equal to 50m. , 4 levels. Under the conditions of different fog levels, select the traffic flow state whose traffic risk value of expressway is less than or equal to 0.2 to calculate the safe vehicle speed, draw the cumulative distribution curve of the vehicle speed in this state and calculate the 85th percentile speed of the vehicle running speed, and round it up and correct it. The recommended safe speed of the expressway under foggy conditions is obtained. In order to facilitate the expressway drivers to accept and the management department to release the speed limit information, a suggested speed limit is given, as shown in Table 6.
表6不同雾天等级条件下建议限制车速(km/h)Table 6 Suggested speed limit under different fog conditions (km/h)
参照《高速公路交通气象等级》(QX/T111-2010),雨天等级的划分为一小时降雨强度10.0mm/h~14.9mm/h,一小时降雨强度15.0mm/h~29.9mm/h,一小时降雨强度30.0mm/h~49.9mm/h,一小时降雨强度大于50.0mm/h,4个等级。在不同雨天等级条件下,选取高速公路交通风险值小于等于0.2的交通流状态计算安全车速,绘制该状态下车速累积分布曲线并计算车辆运行速度的第85%位车速,取整后可得到不同雨天条件下高速公路建议安全车速,为方便高速公路驾驶人员接受和管理部门发布限速信息,给出建议限制车速,如表7所示。Referring to "Expressway Traffic Meteorological Grades" (QX/T111-2010), the rainy weather grades are divided into one-hour rainfall intensity of 10.0mm/h to 14.9mm/h, one-hour rainfall intensity of 15.0mm/h to 29.9mm/h, and one hour of rainfall intensity. The hourly rainfall intensity is 30.0mm/h~49.9mm/h, and the hourly rainfall intensity is greater than 50.0mm/h, with 4 grades. Under different rainy weather conditions, select the traffic flow state whose traffic risk value of expressway is less than or equal to 0.2 to calculate the safe vehicle speed, draw the cumulative distribution curve of the vehicle speed in this state and calculate the 85th percentile speed of the vehicle running speed, and get different values after rounding. The recommended safe speed of the expressway under rainy weather conditions, in order to facilitate the expressway drivers to accept and the management department to release the speed limit information, a suggested speed limit is given, as shown in Table 7.
表7不同雨天等级条件下建议安全车速(km/h)Table 7 Suggested safe vehicle speed under different rainy weather conditions (km/h)
(5)计算基于停车视距的高速公路安全车速(5) Calculate the safe speed of the highway based on the parking sight distance
停车视距指的是同一车道上,车辆行驶时遇到前方障碍物而必须采取制动停车时所需要最短行车距离。停车视距可分解为反应距离、制动距离和安全距离三部分。由于高速公路路段车流呈车队形式,因此从跟车状态来计算车辆行驶所需的安全停车距离,获得相应的控制车速。The parking sight distance refers to the shortest driving distance required when the vehicle encounters an obstacle ahead and must brake to stop in the same lane. The parking sight distance can be decomposed into three parts: reaction distance, braking distance and safety distance. Since the traffic flow on the expressway section is in the form of a fleet, the safe stopping distance required by the vehicle is calculated from the following state to obtain the corresponding control speed.
基于停车视距的高速公路安全车速可由下列公式计算:The safe speed of the expressway based on the parking sight distance can be calculated by the following formula:
一般情况下,驾驶员发现前面车辆时,前车速度小于本车且处于制动状态,此时后车停车所需的安全距离应满足,In general, when the driver finds the vehicle in front, the speed of the vehicle in front is lower than that of the vehicle and it is in the braking state. At this time, the safety distance required for the vehicle behind to stop should be satisfied.
L1+L2+Ls≤Lv+L3 (1)L 1 +L 2 +L s ≤L v +L 3 (1)
式中,In the formula,
L1——后方车辆驾驶员反应时间内的车辆行驶距离,m;L 1 ——the driving distance of the vehicle within the reaction time of the driver of the rear vehicle, m;
L2——后方车辆制动时间内的行驶距离,m;L 2 ——travel distance of the rear vehicle within braking time, m;
Ls——安全距离,一般取值为5~10m,为保障恶劣天气下的行车安全,Ls取值为20m;L s ——safety distance, the general value is 5-10m, in order to ensure driving safety in bad weather, the value of L s is 20m;
Lv——路段的可视距离,m;L v ——Visible distance of road section, m;
L3——前方车辆在驾驶员反应时间和车辆制动时间内的行驶距离,m。L 3 ——The driving distance of the vehicle in front during the driver's reaction time and vehicle braking time, m.
在恶劣天气下,驾驶员有效视距和路面附着系数会发生变化,为了保障车辆的安全行驶,应该考虑最不利的情况,即由于车辆故障、轮胎损坏、抛锚、货物洒落及事故等原因,前方物体的速度为零,车流中出现严重的速度差,后车必须进行紧急制动,此时后车停车所需的安全距离为,In bad weather, the driver's effective sight distance and road adhesion coefficient will change. In order to ensure the safe driving of the vehicle, the most unfavorable situation should be considered, that is, due to vehicle failure, tire damage, breakdown, cargo spillage and accidents, etc. The speed of the object is zero, and there is a serious speed difference in the traffic flow, the vehicle behind must perform emergency braking. At this time, the safety distance required for the vehicle behind to stop is,
L1+L2+Ls≤Lv (2)L 1 +L 2 +L s ≤L v (2)
后方车辆驾驶员反应时间内的车辆行驶距离L1,The vehicle travel distance L 1 within the reaction time of the driver of the rear vehicle,
L1=vt1 (3)L 1 = vt 1 (3)
式中,In the formula,
v——后方车辆行驶速度,m/s;v——travel speed of the vehicle behind, m/s;
t1——后方车辆驾驶员反应时间,s。t 1 ——reaction time of the driver of the vehicle behind, in s.
一般情况下驾驶员的反应时间为0.5~1.7s,在恶劣天气下,道路行车环境恶劣,驾驶人员反应时间可能会超过1.7s,t1取值为2.5s。In general, the driver's reaction time is 0.5-1.7s. In bad weather and the road driving environment is harsh, the driver's reaction time may exceed 1.7s, and the value of t 1 is 2.5s.
为充分保障恶劣天气下高速公路行车安全,考虑最不利组合情况,即车辆处于下坡路段并忽略空气阻力,后方车辆制动时间内的行驶距离L2,In order to fully guarantee the safety of highway driving in bad weather, the most unfavorable combination is considered, that is, the vehicle is on a downhill section and the air resistance is ignored, the driving distance L 2 of the rear vehicle braking time,
式中,In the formula,
a——后方车辆减速度,m/s2;a——deceleration of the rear vehicle, m/s 2 ;
f——路面的附着系数;f—adhesion coefficient of the road surface;
i——坡度,%;i——slope, %;
g——重力加速度,取g=9.8m/s2。g—gravitational acceleration, take g=9.8m/s 2 .
将公式(3)和(4)带入公式(2)中可得安全可视距离,Bring formulas (3) and (4) into formula (2) to get the safe viewing distance,
将恶劣天气下的能见度作为可视距离,由公式(5)可计算得到基于停车视距的高速公路安全车速,如公式(6)所示,Taking the visibility in bad weather as the visible distance, the safe speed of the expressway based on the parking sight distance can be calculated by the formula (5), as shown in the formula (6),
式中,In the formula,
V——安全车速,km/h。V—safe vehicle speed, km/h.
雾天天气时,由于雾水落于路面,使得路面潮湿,附着系数降低,取潮湿路面的附着系数f=0.6。依据《公路工程技术标准》(JTG B01—2014)中关于高速公路纵坡的规定,设计速度为120km/h,最大纵坡为3%,设计速度为100km/h,最大纵坡为4%。G15沈海高速的设计速度为100km/h,最大纵坡为4%。根据基于停车视距的高速公路安全车速模型,通过对能见度及道路纵坡取不同数值,计算得到不同雾天等级下安全车速如表8所示。In foggy weather, as the fog falls on the road surface, the road surface is wet and the adhesion coefficient is reduced. The adhesion coefficient of the wet road surface is f=0.6. According to the "Technical Standards for Highway Engineering" (JTG B01-2014) on the longitudinal slope of expressways, the design speed is 120km/h, the maximum longitudinal slope is 3%, the design speed is 100km/h, and the maximum longitudinal slope is 4%. The design speed of G15 Shenhai Expressway is 100km/h, and the maximum longitudinal slope is 4%. According to the expressway safe speed model based on parking sight distance, by taking different values for visibility and road longitudinal slope, the safe speed under different fog levels is calculated as shown in Table 8.
表8不同雾天等级条件下建议车速(km/h)Table 8 Suggested vehicle speed under different fog conditions (km/h)
降雨天气时,由于雾水落于路面,使得路面潮湿,附着系数降低,取潮湿路面的附着系数f=0.35。根据基于停车视距的高速公路安全车速模型,通过对能见度及道路纵坡取不同数值,计算得到不同雨天等级下安全车速如表9所示。In rainy weather, due to the fog falling on the road surface, the road surface is wet and the adhesion coefficient is reduced. The adhesion coefficient of the wet road surface is f = 0.35. According to the expressway safe speed model based on parking sight distance, by taking different values for visibility and road longitudinal slope, the safe speed under different rainy weather levels is calculated as shown in Table 9.
表9不同雨天等级条件下建议车速(km/h)Table 9 Suggested vehicle speed under different rainy weather conditions (km/h)
(6)恶劣天气下高速公路建议车速取值(6) Suggested speed of expressway in bad weather
对比基于安全风险和基于停车视距两种方法得到的不同恶劣天气等级条件下高速公路安全车速,选择两种方法中较为安全的车速计算结果,最终给出不同恶劣天气等级下高速公路建议车速。Comparing the safety risk-based and parking-sight-distance-based expressway safe speeds under different severe weather conditions, the safer speed calculation results of the two methods are selected, and finally the suggested expressway speeds under different severe weather levels are given.
不同雾天等级条件下建议车速取值如表10所示。Table 10 shows the suggested vehicle speed values under different fog levels.
表10不同雾天等级条件下建议车速对比(km/h)Table 10 Comparison of suggested vehicle speeds under different fog conditions (km/h)
不同雨天等级条件下建议限制车速取值如表11所示。Table 11 shows the recommended speed limit values under different rainy weather conditions.
表11不同雨天等级条件下建议车速对比(km/h)Table 11 Comparison of suggested vehicle speeds under different rainy weather conditions (km/h)
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