This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Equivalence Factor Calculation for Hybrid Vehicles
Technical Paper
2020-01-1196
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
Within a hybrid electric vehicle, given a power request initiated by pedal actuation, a portion of overall power may be generated by fuel within an internal combustion engine, and a portion of power may be taken from or stored within a battery via an e-machine. Generally speaking, power taken from a vehicle battery must eventually be recharged at a later time. Recharge energy typically comes ultimately from engine generated power (and hence from fuel), or from recovered braking energy. A hybrid electric vehicle control system attempts to identify when to use each type of power, i.e., battery or engine power, in order to minimize overall fuel consumption. In order to most efficiently utilize battery and fuel generated power, many HEV control strategies utilize a concept wherein battery power is converted to a scaled fueling rate. When battery power is used to propel the vehicle and hence is positive, the scale factor for battery power is chosen to produce a fueling rate estimate that, as nearly as possible, predicts the fuel rate required to recharge battery power during future vehicle operations. On the other hand, when the battery is recharging and hence battery power is negative, the scale factor applied to battery power is chosen to reflect fuel savings that will occur in the future, when battery power displaces engine power for vehicle propulsion. The latter case of scaled battery power produces a negative fueling rate to reflect the fact that a portion of the engine fueling rate makes power for later use. When the estimated fueling rate associated with battery power use is added to the always-positive fueling rate of the internal combustion engine, a so-called equivalent fueling rate is generated. A power split for maximizing fueling efficiency is then chosen by minimizing the instantaneous equivalent fueling rate. This paper will present a novel method for generating scale factors that convert battery power to equivalent units of fuel. Optimized power splits for specific vehicle cycles calculated using dynamic programming tools provide data for calculating scale factors. A neural net is trained to predict appropriate scale factors based on training data generated by dynamic programming. Input to the trained neural net is recent vehicle speed and battery state-of-charge history, and the output is scale factors for calculating an equivalent fueling rate.
Authors
Citation
Panagiotopoulos, D., Geist, B., and Schoeller, D., "Equivalence Factor Calculation for Hybrid Vehicles," SAE Technical Paper 2020-01-1196, 2020, https://doi.org/10.4271/2020-01-1196.Data Sets - Support Documents
Title | Description | Download |
---|---|---|
Unnamed Dataset 1 |
Also In
References
- Ahn , K. et al. Homogenous Charge Compression Ignition Technology Implemented in a Hybrid Electric Vehicle: System Optimal Design and Benefit Analysis for a Power-Split Architecture J. Automobile Eng 2012
- Back , M. , et al. Predictive Control of Drivetrains 2012
- Bellman , R. The Theory of Dynamic Programming Bulletin of the American Mathematical Society 1954 10.1090/S0002-9904-1954-09848-8
- Bertsekas , D. 2002
- Boussaada , Z. et al. A Nonlinear Autoregressive Exogenous (NARX) Neural Network Model for the Prediction of the Daily Direct Solar Radiation Energies 2018
- Brahma , A. , Guezennec , Y. , and Rizzoni , G. 2000
- Brahma , A. et al. 1999
- Chen , B.C. , Wu , Y. , and Tsai , H.C. Design and Analysis of Power Management Strategy for Range Extended Electric Vehicle Using Dynamic Programming Appl. Energy 2014
- Chiang , A. Elements of Dynamic Optimization McGraw-Hill 1992
- Fan , J. and Shen , T. Map-Based Power-Split Strategy Design with Predictive Performance Optimization for Parallel Hybrid Vehicles Energies 2015
- Heitmann , S. , Aburn , M. , and Breakspear , M. The Brain Dynamics Toolbox for MATLAB Journal of Neurocomputing 315 82 88 2018
- Huo , F. and Poo , A. Nonlinear Autoregressive Network with Exogenous Inputs Based Contour Error Reduction in CNC Machines International Journal of Machine Tools and Manufacturing 67 45 52 2013
- Jalil , N. and Salman , M. 1997
- Kermani , S. et al. Predictive Energy Management for Hybrid Vehicles Control Eng. Pract. 20 2012
- Kim , N. , Cha , S. , and Peng , H. Optimal Control of Hybrid Electric Vehicles Based on Pontryagin’s Minimum Principle IEEE Transactions on Control Systems Technology 19 5 2011
- Leamy , M. and Dekun , P. Dynamic Programming- Informed Equivalent Cost Minimization Control Strategies for Hybrid-Electric Vehicles Journal of Dynamic Systems, Measurement, and Control 135 2013
- Li , S.G. et al. Energy and Battery Management of a Plug in Series Hybrid Electric Vehicle Using Fuzzy Logic IEEE Trans. Veh. Technol. 2011
- Lin , C. , Peng , H. , and Grizzle , J.W. 2004
- Ma , Y. et al. The NARX Model-Based System Identification on Nonlinear, Rotor-Bearing Systems Applied Sciences 2017
- Ramírez , C. and Acuña , G. Forecasting Cash Demand in ATM Using Neural Networks and Least Square Support Vector Machine J. Prog. Pattern Recognit. Image Analysis Comput. Vis. Appl. 7042 515 522 2011
- Rezaei , A. and Burl , J.B. Prediction of Vehicle Velocity for Model Predictive Control IFAC-PapersOnline 48 2015
- Sciarretta , A. , Back , M. , and Guzzella , L. Optimal Control of Parallel Hybrid Electric Vehicles IEEE Trans. Control Syst. Technol. 12 2004
- Sciarretta , A. et al. A Control Benchmark on The Energy Management of a Plug-In Hybrid Electric Vehicle Control Eng. Pract. 2014
- Serrao , L. , Onori , S. , and Rizzoni , G. A Comparative Analysis of Energy Management Strategies for Hybrid Electric Vehicles ASME Journal of Dyn. Syst. Meas. Control 2000
- Serrao , L. , Onori , S. , and Rizzoni , G. ECMS as a Realization of Pontryagin’s Minimum Principle for HEV Control ASME Journal of Dyn. Syst. Meas. Control 2000
- Shabbir , W. and Evangelou , S.A. Real-Time Control Strategy to Maximize Hybrid Electric Vehicle Powertrain Efficiency Appl. Energy 135 2014
- Sundstrom , O. 2009 https://doi.org/10.3929/ethz-a-005902040
- Triobioli , L. et al. A Real Time Energy Management Strategy for Plug In Hybrid Electric Vehicles Based on Optimal Control Theory Energy Procedia 2014
- Wang , X. et al. Application Study on the Dynamic Programming Algorithm for Energy Management Plug-in Hybrid Electric Vehicles Energies 8 2015
- Xia , C. and Zhang , C. Power Management Strategy of Hybrid Electric Vehicles Based on Quadratic Performance Index Energies 8 2015
- Zhang , S. and Xiong , R. Adaptive Energy Management of a Plug-In Hybrid Electric Vehicle Based on Driving Pattern Recognition and Dynamic Programming Appl. Energy 2015
- Zulkeflee , S. , Sata , S. , and Aziz , N. 2011 10.5772/16963