Construction of driving cycle of city bus line in Xi’an based on clustering and Markov chain method

doi:10.3969/j.issn.1674-8484.2022.02.015

Abstract

Abstract:

A driving cycles of Xi’an city bus were constructed by clustering and Markov chain method to construct driving conditions that reflect the local vehicle driving characteristics for a specific area. The number of clusters and characteristic parameters in clustering were determined, and the method to determine the length of driving cycle by Markov chain was proposed. The specific energy consumption per mileage was defined as the criterion to select typical driving cycle among 50 candidate driving cycles. The results show that, compared with the clustering method and the V-A matrix method, the driving conditions constructed based on the clustering and Markov chain method have the smallest deviation from the sample data, the average deviation rate is 1.17%, and the difference in energy consumption per 100 kilometers is the smallest, the deviation rate is 0.069%. The driving cycle constructed by clustering and Markov chain method shows higher accuracy and can reflect the actual driving conditions better.

Key words: clustering method, Markov chain method, driving cycle, energy consumption

CLC Number:

U491.17

LI Yaohua, SHAO Pandeng, ZHAI Dengwang, REN Tianyuan, SONG Weiping, LIU Yang, ZHAO Chenghui. Construction of driving cycle of city bus line in Xi’an based on clustering and Markov chain method[J]. Journal of Automotive Safety and Energy, 2022, 13(2): 341-349.

Figures/Tables 16

References 32

[1]	徐小俊, 李君, 刘宇, 等. 电动汽车城市行驶工况构建[J]. 科学技术与工程, 2017, 17(35): 330-336.
	XU Xiaojun, LI Jun, LIU Yu, et al. Construction of electric vehicle urban driving conditions[J]. Sci Tech Engi, 2017, 17(35): 330-336. (in Chinese)
[2]	胡志远, 秦艳, 谭丕强, 等. 基于大样本的上海市乘用车行驶工况构建[J]. 同济大学学报(自然科学版), 2015, 43(10): 1523-1527.
	HU Zhiyuan, QIN Yan, TAN Piqiang, et al, Construction of Shanghai passenger vehicle driving conditions based on large samples[J]. J Tongji Univ (Nat Sci Ed), 2015, 43(10): 1523-1527. (in Chinese)
[3]	钟森鸣, 黄坚, 吴嘉健, 等. 新能源汽车动态工况EMI测试系统构架设计与关键技术分析[J]. 中国测试, 2017, 43(8): 76-79.
	ZHONG Senming, HUANG Jian, WU Jiajian, et al, Architecture design and key technology analysis of EMI test system for new energy vehicles under dynamic conditions[J], Chin Meas Test, 2017, 43(8): 76-79. (in Chinese)
[4]	刘希玲, 丁焰. 我国城市汽车行驶工况调查研究[J]. 环境科学研究, 2000(1): 23-27.
	LIU Xiling, DING Yan, Investigation and research on driving conditions of urban vehicles in my country[J]. Res Envi Sci, 2000(1): 23-27. (in Chinese)
[5]	Mayakuntla K S, Verma A. A novel methodology for construction of driving cycles for Indian cities[J]. Transport Res Part D: Transport Envi, 2018, 65: 725-735.
[6]	王国林, 郭新, 张树培, 等. 基于短行程法的轻型乘用车行驶工况构建[J]. 重庆交通大学学报(自然科学版), 2019, 38(2): 139-143.
	WANG Guolin, GUO Xin, ZHANG Shupei, et al. Construction of light-duty passenger vehicle driving conditions based on short-stroke method[J]. J Chongqing Jiaotong Univ (Nat Sci Ed), 2019, 38(2): 139-143. (in Chinese)
[7]	杜常清, 汪雨航, 张佩. 基于GPS/GIS数据的短行程工况构建方法研究[J]. 武汉理工大学学报(交通科学与工程版), 2016, 40(5): 803-808.
	DU Changqing, WANG Yuhang, ZHANG Pei, Research on construction method of short stroke working condition based on GPS/GIS data[J]. J Wuhan Univ Tech (Transport Sci Engi Ed), 2016, 40(5): 803-808. (in Chinese)
[8]	Arun H N, Mahesh S, Ramadurai G, et al. Development of driving cycles for passenger cars and motorcycles in Chennai, India[J]. Sustain Citi Soc, 2017, 32: 503-512.
[9]	R. Günther, Wenzel. M, Wegner, et al. Big data driven dynamic driving cycle development for busses in urban public transportation[J]. Transport Res Part D: Transport Envi, 2017, 51: 278-289.
[10]	李耀华, 刘鹏, 杨炜, 等. 西安市纯电动城市客车行驶工况研究[J]. 中国科技论文, 2016, 11(7): 754-759.
	LI Yaohua, LIU Peng, YANG Wei, et al. Research on driving conditions of pure electric city bus in Xi’an[J]. Sci Paper Online, 2016, 11(7): 754-759. (in Chinese)
[11]	Chandrashekar C, Prashansa A, Pritha C, et al. Development of E-rickshaw driving cycle (ERDC) based on micro-trip segments using random selection and K-means clustering techniques[J]. IATSS Res, 2021, 45(4): 3-7. doi: 10.1016/j.iatssr.2021.02.001 URL
[12]	董恩源, 颜文胜, 申江卫, 等. 聚类分析法在城市公交行驶工况开发中的应用[J]. 昆明理工大学学报(自然科学版), 2013, 38(5): 41-44+51.
	DONG Enyuan, YAN Wensheng, SHEN Jiangwei, et al. Application of cluster analysis method in the development of urban bus driving conditions[J]. J Kunming Univ Sci Tech (Nat Sci Ed), 2013, 38(5): 41-44+51. (in Chinese)
[13]	李耀华, 李忠玉, 苟琦智, 等. 基于聚类分析的城市公交线路工况构建[J]. 重庆交通大学学报(自然科学版), 2019, 38(1): 83-88+96.
	LI Yaohua, LI Zhongyu, GOU Qizhiqi, et al. Construction of urban bus line working conditions based on cluster analysis[J]. J Chongqing Jiaotong Univ (Nat Sci Ed, 2019, 38(1): 83-88+96. (in Chinese)
[14]	Berzi L, Delogu M, Pierini M. Development of driving cycles for electric vehicles in the context of the city of Florence[J]. Transport Res Part D: Transport Envi, 2016, 47: 299-322.
[15]	李耀华, 任田园, 邵攀登, 等. 基于马尔可夫链的西安市城市公交工况构建[J]. 中国科技论文, 2019, 14(2): 121-128.
	LI Yaohua, REN Tianyuan, SHAO Pandeng, et al. Construction of urban public transport conditions in Xi’an based on Markov chain[J]. Sci Paper Online, 2019, 14(2): 121-128. (in Chinese)
[16]	曹骞, 李君, 刘宇, 等. 基于马尔科夫链的长春市乘用车行驶工况构建[J]. 吉林大学学报(工学版), 2018, 48(5): 1366-1373.
	CAO Qian, LI Jun, LIU Yu, et al. Construction of Changchun Passenger Car Driving Conditions Based on Markov Chain[J]. J Jilin Univ (Engi Tech Ed), 2018, 48(5): 1366-1373. (in Chinese)
[17]	姜平, 石琴, 陈无畏. 基于马尔科夫的城市道路行驶工况构建方法[J]. 农业机械学报, 2009, 40(11): 26-30.
	JIANG Ping, SHI Qin, CHEN Wuwei, Construction method of urban road driving conditions based on Markov[J]. Trans Chin Soc Agri Mach, 2009, 40(11): 26-30. (in Chinese)
[18]	Seers G P, Glaus M N. Development of two driving cycles for utility vehicles[J]. Transport Res Part D: Transport Envi, 2015, 41: 377-385.
[19]	Amirjamshidi G, Roorda J M. Development of simulated driving cycles for light, medium, and heavy duty trucks: Case of the Toronto Waterfront Area[J]. Transport Res Part D: Transport Envi, 2015, 34: 255-266.
[20]	刘鹏. 西安市XX线路公交行驶工况构建及混合动力公交动力系统参数匹配研究[D]. 西安: 长安大学, 2017.
	LIU Peng. Construction of bus driving conditions of XX line in Xi’an and research on parameter matching of hybrid electric bus power system[D]. Xi’an: Chang’an University, 2021, 40(4): 141-146. (in Chinese)
[21]	宋伟萍. 基于西安市工况的混合动力汽车整车控制策略研究[D]. 西安: 长安大学, 2020.
	SONG Weiping. Research on vehicle control strategy of hybrid electric vehicle based on working conditions in Xi’an[D]. Xi’an: Chang’an University, 2021, 40(4): 141-146. (in Chinese)
[22]	李耀华, 刘洋, 宋伟萍, 等. 基于行驶工况的零部件耐久性测试工况构建[J]. 重庆交通大学学报, 2021, 40(4): 141-146.
	LI Yaohua, LIU Yang, SONG Weiping, et al. Construction of parts durability test conditions based on driving conditions[J]. J Chongqing Jiaotong Univ, 2021, 40(4): 141-146. (in Chinese)
[23]	杨延相, 蔡晓林, 杜青, 等. 天津市道路汽车行驶工况的研究[J]. 汽车工程, 2002, 24(3):200-204.
	YANG Yanxiang, CAI Xiaolin, DU Qing, et al. Research on the Driving Conditions of Road Vehicles in Tianjin[J]. Autom Engineering, 2002, 24(3): 200-204. (in Chinese)
[24]	马志雄, 李孟良, 张富兴, 等. 主成分分析法在车辆实际行驶工况开发中的应用[J]. 武汉理工大学学报(信息与管理工程版), 2004(4): 32-35.
	MA Zhixiong, LI Mengliang, ZHANG Fuxing, et al. Application of principal component analysis method in the development of actual driving conditions of vehicles[J]. J Wuhan Univ Tech (Info Manag Engi Ed), 2004(4): 32-35. (in Chinese)
[25]	张建伟, 李孟良, 艾国和, 等. 车辆行驶工况与特征的研究[J]. 汽车工程, 2005, 27(2):220-224.
	ZHANG Jianwei, LI Mengliang, AI Guohe, et al. Research on vehicle driving conditions and characteristics[J]. Autom Engineering, 2005, 27(2): 220-224. (in Chinese)
[26]	刘明辉, 赵子亮, 李骏, 等. 北京城市公交客车循环工况开发[J]. 汽车工程, 2005, 27(6):687-690.
	LIU Minghui, ZHAO Ziliang, LI Jun, et al. Development of cycle conditions of Beijing city bus and passenger car[J]. Autom Engineering, 2005, 27(6): 687-690. (in Chinese)
[27]	李孟良, 张建伟, 张富兴, 等. 中国城市乘用车实际行驶工况的研究[J]. 汽车工程, 2006, 28(6): 554-557.
	LI Mengliang, ZHANG Jianwei, ZHANG Fuxing, et al. Research on the actual driving conditions of urban passenger cars in China[J]. Autom Engineering, 2006, 28(6): 554-557. (in Chinese)
[28]	Huwang W T, Tong H Y, Lee C P, et al. Development of a practical driving cycle construction methodology: A case study in Hong Kong[J]. Transport Res Part D: Transport Envi, 2007, 12(2): 115-128.
[29]	孙宏图, 宋希庚, 王天灵. 改进的城市公交循环工况开发方法[J]. 大连理工大学学报, 2009, 49(6): 837-841.
	SUN Hongtu, SONG Xigeng, WANG Tianling. Improved development method of urban public transport cycle conditions[J]. J Dalian Univ Tech, 2009, 49(6): 837-841. (in Chinese)
[30]	王宏图, 于雷, 郝艳召, 等. 重型机动车比功率计算方法研究[J]. 安全与环境工程, 2011, 18(2): 124-128.
	WANG Hongtu, YU Lei, HAO Yanzhao, et al. Research on calculation method of specific power of heavy vehicle[J]. Safe Envi Engi, 2011, 18(2): 124-128. (in Chinese)
[31]	赖瑾璇, 于雷, 宋国华, 等. 基于比功率分布的公交车行驶周期建立方法研究[J]. 交通运输系统工程与信息, 2014, 14(1): 209-214.
	LAI Jinxuan, YU Lei, SONG Guohua, et al. Research on the establishment method of bus driving cycle based on specific power distribution[J]. J Transport Syst Engi Info Tech, 2014, 14(1): 209-214. (in Chinese)
[32]	李耀华, 宋伟萍, 任田园, 等. 基于聚类和比功率分布的西安城市公交行驶工况研究[J]. 重庆交通大学学报(自然科学版), 2020, 39(4): 23-30.
	LI Yaohua, SONG Wwiping, REN Tianyuan, et al. Research on urban bus driving conditions in Xi’an based on clustering and specific power distribution[J], J Chongqing Jiaotong Univ (Engi Tech Ed), 2020, 39(4): 23-30. (in Chinese)

片段序号	v_max	v_mean	v_mr	…	λ_40-50
1	-0.816 77	-0.902 16	-0.978 00	…	-0.111 67
2	0.403 90	0.128 52	0.538 30	…	-0.111 67
3	0.394 41	-0.047 98	0.515 96	…	-0.111 67
…	…	…	…	…	…
2 828	0.298 77	0.561 44	0.194 51	…	-0.111 67
2 829	0.602 67	0.748 00	0.671 48	…	-0.111 67
2 830	0.625 93	1.496 58	0.986 78	…	-0.111 67

片段序号	v_max	v_mean	v_mr	…	λ_40-50
1	-0.816 77	-0.902 16	-0.978 00	…	-0.111 67
2	0.403 90	0.128 52	0.538 30	…	-0.111 67
3	0.394 41	-0.047 98	0.515 96	…	-0.111 67
…	…	…	…	…	…
2 828	0.298 77	0.561 44	0.194 51	…	-0.111 67
2 829	0.602 67	0.748 00	0.671 48	…	-0.111 67
2 830	0.625 93	1.496 58	0.986 78	…	-0.111 67

类数	特征参数	v_sd + v_max + D_max + a_max	…	t + Lr
3	28	688	…	14 92
	1 090	1 074		346
	1 712	1 068		992
4	4	578	…	1 330
	1 191	588		379
	51	1 189		1 013
	784	475		108
5	49	409	…	974
	599	482		5
	4	773		1 170
	572	253		164
	1 606	913		517

类数	特征参数	v_sd + v_max + D_max + a_max	…	t + Lr
3	28	688	…	14 92
	1 090	1 074		346
	1 712	1 068		992
4	4	578	…	1 330
	1 191	588		379
	51	1 189		1 013
	784	475		108
5	49	409	…	974
	599	482		5
	4	773		1 170
	572	253		164
	1 606	913		517

编号	Ws / [J·(kg·km)^-1]	编号	Ws / [J·(kg·km)^-1]
1	171.38	15	165.71
2	165.20	…	…
…	…	48	167.86
13	167.31	49	167.50
14	168.06	50	166.13