Naturalistic Drive Cycles Analysis and Synthesis for Pick-up Trucks. Zifan Liu Dr. Andrej Ivanco Dr. Zoran Filipi

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Naturalistic Drive s Analysis and Synthesis for Pick-up Trucks Zifan Liu Dr. Andrej Ivanco Dr. Zoran Filipi

Introduction to CU-ICAR Greenville, South Carolina 95% of students gainfully employed in the Automotive Industry Global student representing 17 countries 183 total M.S. and PhD degrees awarded 7 Strategic Research Areas 4 Endowed Chairs in 4 key research areas

Pickups in America Top 2 best-selling light-duty vehicles in America in 213: Ford F-series and Chevrolet Silverado, combined sales over 1.2 million A1: 9% of truck owners I have met have second jobs they may not do all of those things year round but you will be hard pressed to find someone that owns a truck and doesn t use it for it s utility A2: It is just a sense of patriotism: Americanization Source: http://truckyeah.jalopnik.com/ You might like this book: Zehr, Howard. Pickups A Love Story. Good Books, 213. Print

Importance of Naturalistic Drive s Source: 212 DOE Hydrogen Program and Vehicle Technologies Annual Merit Review Real world fuel economy Power requirements and component sizing Consumers judge based on real world usage Benefits of technology depend on naturalistic cycles. Certification cycles are not realistic. Pick-up trucks need to be designed based on how people actually drive in real-life

Objectives Analyze the naturalistic driving data to generate insights about real-world driving. Implement methodologies for synthesis of representative drive cycles based on large amount of naturalistic drive cycles.

Part I Naturalistic Drive Analysis for Pick-up Trucks

Public NDS Database for Pickup Trucks Free, web-based access to detailed second-by-second speed traces across the nation Free, web-based access to summarized transportation data across the nation; detailed data upon request. NREL data collection sites: California Atlanta Texas Minneapolis/St. Paul Chicago Puget Sound Regional SHRP2 data collection sites: Buffalo, NY State College, PA Durham, NC Bloomington, IN Tampa, FL Seattle, WA

Percentage (%) Pickups in SHRP2 Database Percentage (%) 165 Drivers, 167 Pickups 136 Drivers, 13 Vans 667 Drivers, 65 SUVs 2387 Drivers, 2387 cars 5 4 Distribution of Age Group 45 4 35 3 Annual Mileage Pickup car SUV Van 3 25 2 2 1 15 1 5-1 1 (16-29) (3-49) (>5).5 1 1.5 2 2.5 3 3.5 Average Annual Mileage (X1 miles)

Naturalistic Driving for Pickup Trucks Not Available 39 Pickups 7,682 trips 34 Drivers 35 Pickups 24,62 trips NREL data collection sites 62 Pickups 687 trips Not Available SHRP2 data collection sites Not Available 17 Drivers 17 Pickups 7,92 trips 25 Pickups 4563 trips 37 Drivers 39 Pickups 26,815 trips 15 Drivers 15 Pickups 6,131 trips 28 Drivers 28 Pickups 15,146 trips 33 Drivers 34 Pickups 23,237 trips

Percentage (%) Naturalistic Driving for Pickup Trucks Percentage (%) 8 7 6 5 4 3 2 1 Percentage of Trips by Trip Distance (km) SHRP2 NREL Florida Indiana New York North Carolina Pennsylvania Washington Texas Atlanta California UDDS LA92 HWFET US6 8 7 6 5 4 3 2 1 Percentage of Trips by Mean Velocity (km/h) SHRP2 NREL Florida Indiana New York North Carolina Pennsylvania Washington Texas Atlanta California UDDS LA92 HWFET US6 5 1 15 2 25 3 35 4 45 Trip Distance (km) 5 2 35 5 65 8 95 11 125 Mean Velocity (km/h) Trips from SHRP2 are more consistent. Trips from NREL have more variations between locations. Fewer pickups yet higher trip-per-truck in SHRP2, enhanced personal pattern? Different from certification cycles

Percentage (%) Naturalistic Driving for Pickup Trucks Percentage (%) 8 7 6 5 4 3 2 1 Percentage of Trips by Trip Max Deceleration (*g) Florida Indiana New York North Carolina Pennsylvania Washington Texas Atlanta California UDDS LA92 HWFET US6 SHRP2 NREL 8 7 6 5 4 3 2 1 Percentage of Trips by Max Acceleration (*g) SHRP2 NREL Florida Indiana New York North Carolina Pennsylvania Washington Texas Atlanta California UDDS LA92 HWFET US6 -.8 -.7 -.6 -.5 -.4 -.3 -.2 -.1 Trip Max Deceleration (*g).1.2.3.4.5.6.7.8 Max Acceleration (*g) Trends are similar in nature. Actual distributions of peak values are different. Different drivers or different data pre-processing techniques?

Part II Naturalistic Drive Synthesis for Pick-up Trucks Reduce the amount of data to enable efficiency in vehicle design and control development

Naturalistic Drive Synthesis Velocity (km/h) Basic Philosophy: 7 One Representative Drive Representative Drive for Short Trips (1~4km) 6 5 4 3 2 1 1 2 3 4 5 6 Time (minutes) Use the Pick-up truck trips from the NREL s California Database: 21 212 California Household Travel Survey.

Naturalistic Drive Synthesis Flow Chart Naturalistic Driving s Categorization Deconstruction in categories Representativeness Validation Reconstruction in categories

Naturalistic Drive Synthesis Flow Chart Naturalistic Driving s Categorization Deconstruction in categories Representativeness Validation Reconstruction in categories

Categorization Probability Distribution Cumulative Probability Distribution 2 Pick-up Truck Trips in CALTRANS Database 1 15 75 1 (11.5km, 66%) 5 5 (4km, 33%) 25 Delete short trips less than 1km 5 1 15 2 25 3 35 4 45 Trip Distance (km) Categorization by trip distance, in equal probability interval of trip distance distribution (1~4 km), (4~11.5 km), (>11.5 km) with mean values of 2.4 km, 7km, 35 km respectively.

Naturalistic Drive Synthesis Flow Chart Naturalistic Driving s Categorization Deconstruction in categories Representativeness Validation Reconstruction in categories

Velocity (km/h) Naturalistic Drive Synthesis Short Examples trip of naturalistic Category cycles for short (1~4 trips (1~5 km) Markov Chain: Pr {x k+1 x k, x k-1, x k-2 x 1 } = Pr {x k+1 x k } 15 1 5 By vehicle dynamics, X k = (a k, V k ), a is the acceleration, V is the velocity 15 1 duration (minutes) 5 1 2 3 # of cycles 4 5 For speed traces, a k = V k -V k-1, X k = (V k, V k-1 ), Pr{V k+1 V k, V k-1, V 1 } = Pr{V k+1 V k, V k-1 } Counting the number of occurrences of V k+1 with previous velocities as V k and V k-1. Fill the number into the Transition Probability Matrix From start to complete stop, numerous drive cycles are generated stochastically in-between. How to choose the most representative?

Naturalistic Drive Synthesis Flow Chart Naturalistic Driving s Categorization Deconstruction in categories Representativeness Validation Reconstruction in categories

Representativeness Validation Velocity (km/h) Velocity (km/h) Use the significant cycle metrics to choose the most representative drive cycle. Significant Metrics* Standard deviation of velocity (km/h) Mean Values for Trips (< 4 km) Representative Trip Discarded Trip 26.7 22.1 22.79 12 1 8 6 4 Short Representative (2.4 km) Representative trip Mean positive velocity (km/h) 31.92 31.7 33.7 2 Standard deviation of acceleration (m/s 2 ).6.61.64 1 2 3 4 5 6 Time (minutes) Mean positive acceleration (m/s 2 ) Percentage of driving time under negative acceleration (%) Percentage of idle time (%) Percentage of driving time under positive acceleration (%).47.47.46 4.61 37,31 33.85 15.1 15.87 16. 44.94 44.31 45.23 Number of stops/km (1/km).99 1.2.84 12 1 8 6 4 2 Discarded trip *Source: Lee, T.-K. and Z. S. Filipi (211). "Synthesis of real-world driving cycles using stochastic process and statistical methodology." International Journal of Vehicle Design 57(1): 17-36. 1 2 3 4 5 6 Time (minutes)

Velocity (km/h) Velocity (km/h) Examples of Representative Drive s 12 1 Representative Drive s for Medium Trips (4~11.5km) Medium Representative (7 km) 8 6 4 2 5 1 15 2 25 3 Time (minutes) 12 Representative Drive for Long Trips (>11.5km) 1 8 6 4 2 Long Representative (35 km) 5 1 15 2 25 3 Time (minutes)

Conclusion and Future Works Pick-up truck cycle Analysis: Pick-up trucks are driven more than other types of vehicles. Real-world driving patterns are different from certification cycles. Trips from SHRP2 database and NREL database show differences. Pick-up truck cycle Synthesis: 1. Categorized naturalistic trips by distance 2. Reconstructed discrete naturalistic driving data using Markov Chain. 3. Chose the representative cycle whose significant cycle metrics approximate the averages of bulk data. Future Work: 1. Apply above methods to SHRP2 s detailed naturalistic cycles; including the valuable road grade profiles. 2. Other cycle analysis, such as driver aggressiveness, with carfollowing distance, acceleration recordings,.

Thank you!