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Technical Paper

The Impact of Regenerative Braking on the Powertrain-Delivered Energy Required for Vehicle Propulsion.

2011-04-12
2011-01-0891
Driving schedules prescribed for fuel-economy regulation are composed of two generic modes: (1) accelerations and constant-speed travel, requiring a positive tractive force at a vehicle's driving wheels; (2) decelerations, requiring a negative or braking force at those wheels. In the first mode, a total tractive energy, ETR, is required to overcome a vehicle's tire rolling resistance, aerodynamic drag, and the inertia of its mass. In the second mode, all the kinetic energy that a vehicle's mass acquired in the first mode has to be removed. The inherent rolling resistance and aerodynamic drag remove some of it. The remainder, EBR, has to be removed by a wheel-braking force. In vehicles with conventional braking the wheel-braking force is frictional, and so all of EBR is dissipated. However, if this force is not inherently frictional some of EBR can be captured, stored, and subsequently used to provide part of the ETR required for propulsion.
Technical Paper

Formulae for the Tractive-Energy Requirements of Vehicles Driving the EPA Schedules

1981-02-01
810184
A comprehensive analysis of the tractive-energy requirements of the EPA Urban and Highway driving schedules has been made. The results are compact formulae in which the specific tractive energy required to negotiate a schedule is correlated primarily with the ratio of effective aerodynamic frontal area to vehicle mass; the tire rolling resistance coefficients are additional variables. The formulae coefficients permit easy determination of the proportions of the Input energy required for overcoming the aerodynamic and rolling resistances, and for supplying the net powered increases in vehicle kinetic energy, respectively. The specific energy dissipated by braking has also been formulated.
Technical Paper

Tractive-Energy-Based Formulae for the Impact of Aerodynamics on Fuel Economy Over the EPA Driving Schedules

1983-02-01
830304
A fuel consumption analysis has been made to determine the impact of changes in aerodynamic drag on fuel economy over the Environmental Protection Agency (EPA) driving schedules. It is based on the tractive energy required by vehicles to negotiate those schedules — specifically, on the fraction that is required to overcome drag. Formulae for this energy fraction that are applicable to any automobile have been previously derived. In conjunction with empirical inputs on closed-throttle fuel rate and the fuel consumption fraction for engine and vehicle accessories, an expression for the aerodynamic influence coefficient relating any percentage reduction in drag to the corresponding attainable percentage reduction in on-road fuel consumption has been formulated. The simple formula is used to show the effect of drag changes of various magnitude on EPA Urban, Highway, and Composite fuel consumptions.
Technical Paper

The Effect of Ambient Wind on a Road Vehicle's Aerodynamic Work Requirement and Fuel Consumption

1984-02-01
840298
A Wind Factor, W, has been developed to account for the effect of ambient wind on the aerodynamic work required by any road vehicle during any single driving experience. It has been evaluated for a broad range of wind and aerodynamic characteristics for three relevant types of driving. Values substantially larger than unity can be experienced, reaching levels like 5.5 (a 450 percent increase in aerodynamic work over the zero-wind case) on the EPA Urban schedule. Adverse wind effect (W-1) occurs for substantially more than half the possible wind angles relative to the road. A functional form for the effect of wind on fuel consumption has been developed. Wind effect is represented by (W-1), and it translates to a fractional change in fuel consumption through an influence coefficient which depends on the particular chassis-drivetrain-driving mode combination being considered. This impact on fuel consumption provides additional incentive for reducing the aerodynamic drag of road vehicles.
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