Research on Multifractal Characteristics of Vehicle Driving Cycles

Vehicle driving cycles have complex characteristics, but there are few publicly reported methods for their quantitative characterization. This paper innovatively investigates their multifractal characteristics using the fractal theory to characterize their complex properties, laying the foundation f...

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Main Authors: Mengting Yuan, Wenguang Luo, Hongli Lan, Yongxin Qin
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Machines
Subjects:
Online Access:https://www.mdpi.com/2075-1702/11/4/423
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author Mengting Yuan
Wenguang Luo
Hongli Lan
Yongxin Qin
author_facet Mengting Yuan
Wenguang Luo
Hongli Lan
Yongxin Qin
author_sort Mengting Yuan
collection DOAJ
description Vehicle driving cycles have complex characteristics, but there are few publicly reported methods for their quantitative characterization. This paper innovatively investigates their multifractal characteristics using the fractal theory to characterize their complex properties, laying the foundation for applications such as vehicle driving cycle feature identification, vehicle energy management strategies (EMS), and so on. To explore the scale-invariance of the vehicle driving cycles, the four vehicle driving cycles were analyzed using the Multifractal Detrended Fluctuation Analysis (MF-DFA) method, three of which are standard vehicle test cycles: the New European Driving Cycle (NEDC), the World-wide harmonized Light-duty Test Cycle (WLTC) and the China Light-duty Vehicle Test Cycle for Passenger Car (CLTC-P), and the other is the Urban Road Real Driving Cycle (URRDC), which was obtained by analyzing and processing vehicle driving data collected in actual urban driving conditions. The fluctuation functions, the generalized Hurst exponents, the mass exponent spectra, the multifractal singularity spectra, and the multifractal characteristic parameters were calculated to verify the multifractal characteristics, and to quantify the fluctuation singularities of different driving cycles as the time series. The results show that the fluctuations of all four driving cycles have long-range anticorrelations and exhibit significant multifractal characteristics. The results can provide a basis for the analysis of the complexity of the vehicle driving cycles.
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spelling doaj.art-f42f147ea85a4f56aa4298a5adbddf1a2023-11-17T20:08:23ZengMDPI AGMachines2075-17022023-03-0111442310.3390/machines11040423Research on Multifractal Characteristics of Vehicle Driving CyclesMengting Yuan0Wenguang Luo1Hongli Lan2Yongxin Qin3School of Automation, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Automation, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Electronic Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Automation, Guangxi University of Science and Technology, Liuzhou 545006, ChinaVehicle driving cycles have complex characteristics, but there are few publicly reported methods for their quantitative characterization. This paper innovatively investigates their multifractal characteristics using the fractal theory to characterize their complex properties, laying the foundation for applications such as vehicle driving cycle feature identification, vehicle energy management strategies (EMS), and so on. To explore the scale-invariance of the vehicle driving cycles, the four vehicle driving cycles were analyzed using the Multifractal Detrended Fluctuation Analysis (MF-DFA) method, three of which are standard vehicle test cycles: the New European Driving Cycle (NEDC), the World-wide harmonized Light-duty Test Cycle (WLTC) and the China Light-duty Vehicle Test Cycle for Passenger Car (CLTC-P), and the other is the Urban Road Real Driving Cycle (URRDC), which was obtained by analyzing and processing vehicle driving data collected in actual urban driving conditions. The fluctuation functions, the generalized Hurst exponents, the mass exponent spectra, the multifractal singularity spectra, and the multifractal characteristic parameters were calculated to verify the multifractal characteristics, and to quantify the fluctuation singularities of different driving cycles as the time series. The results show that the fluctuations of all four driving cycles have long-range anticorrelations and exhibit significant multifractal characteristics. The results can provide a basis for the analysis of the complexity of the vehicle driving cycles.https://www.mdpi.com/2075-1702/11/4/423vehicle driving cyclescomplexitymultifractaldetrended fluctuation analysis
spellingShingle Mengting Yuan
Wenguang Luo
Hongli Lan
Yongxin Qin
Research on Multifractal Characteristics of Vehicle Driving Cycles
Machines
vehicle driving cycles
complexity
multifractal
detrended fluctuation analysis
title Research on Multifractal Characteristics of Vehicle Driving Cycles
title_full Research on Multifractal Characteristics of Vehicle Driving Cycles
title_fullStr Research on Multifractal Characteristics of Vehicle Driving Cycles
title_full_unstemmed Research on Multifractal Characteristics of Vehicle Driving Cycles
title_short Research on Multifractal Characteristics of Vehicle Driving Cycles
title_sort research on multifractal characteristics of vehicle driving cycles
topic vehicle driving cycles
complexity
multifractal
detrended fluctuation analysis
url https://www.mdpi.com/2075-1702/11/4/423
work_keys_str_mv AT mengtingyuan researchonmultifractalcharacteristicsofvehicledrivingcycles
AT wenguangluo researchonmultifractalcharacteristicsofvehicledrivingcycles
AT honglilan researchonmultifractalcharacteristicsofvehicledrivingcycles
AT yongxinqin researchonmultifractalcharacteristicsofvehicledrivingcycles