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Table 9 Notation and symbols

From: A proposal for an operating cycle description format for road transport missions

Symbol

Explanation

A, a i

Action matrix

A f

Vehicle frontal area

C

Degree of unevenness (OC sub-parameter)

C1, C2

Constants in speed bump associated speed function

C d

Drag coefficient

CI

Cone index (OC sub-parameter)

F air

Air resistance force

F b

Brake force

F grade

Slope (resistance) force

F inertia

(Fictive) force due to inertia

F prop

Propulsion force at the wheels

F res

Resistive force

F roll

Rolling resistance force

G t

(Ground) type (OC sub-parameter)

M, m i

Mission matrix

P, P i , P ij

Specified parameter values

P aux

Auxiliary power

P in

Available charging power (OC-parameter)

P prop

Propulsion power at the wheels

P PTO

Power take-off (OC-parameter)

T

Ambient temperature (OC-parameter)

T, T i

Times when p is specified

T b

Brake torque

\(T_{b}^{max}\)

Maximum brake torque

T e

Engine torque

\(T_{e}^{max}\)

Maximum engine torque

T N+1

Mission event end time

T req

Requested engine torque

T w

Wheel torque

\(V_{b},\, V_{b}^{min}\)

Desired speed when traversing a speed bump

X,X i

Positions where p is specified

a p

Normalised accelerator pedal position

a x , a y

Longitudinal and lateral acceleration

ax0, ay0

Longitudinal and lateral acceleration limits

b p

Normalised brake pedal position

d max

Stop zone distance

d s

Distance to next stop

e d

Intended travel direction (OC-parameter)

f q , f T

Fuel map and torque map functions

f r

Rolling resistance coefficient

g

Gravitational acceleration

h

Height of speed bump (OC sub-parameter)

i FD , i g

Final drive and gearbox gear ratio

k t

Traffic density (OC-parameter)

l

Length of speed bump (OC sub-parameter)

m

Total mass (GCW)

\(\dot {m}_{f}\)

Fuel mass flow rate

m c

Mass of cargo (OC-parameter)

m v

Kerb mass

p

A generic operating cycle parameter

p air

Atmospheric pressure (OC-parameter)

q

Mass of fuel injected every engine stroke

r

Wheel radius

s

Arc length

t

Time

t s

Standstill duration (OC sub-parameter)

v

Longitudinal vehicle velocity

v b

Associated speed of speed bumps

v p

Associated maximum speed of p

\(v_{p}^{\prime }\)

Predicted maximum speed of p

v r

Relative speed between wind and vehicle

v rev

Maximum speed when reversing

v sign

Speed from speed sign (OC-parameter)

v stop

Associated speed of the stop entries

v w

Wind velocity (OC-parameter)

v want

The speed desired by the driver interpretation

v κ

Associated speed of the curvature

w

Waviness (OC sub-parameter)

x

Longitudinal position

x s

Segmented longitudinal position

z

Vertical position

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The set of parameters in the mission category

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The set of parameters in the OC-format

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The set of parameters in the road category

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The set of parameters in the traffic category

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The set of parameters in the weather category

α

Speed bump deflection angle (OC sub-parameter)

γ

Fuel conversion proportionality constant

η T

Overall (torque) transmission efficiency

θ

Angle of inclination

κ

Curvature (OC-parameter)

λ

GPS-longitude (OC-parameter)

ρ

Air density

φ

GPS-latitude (OC-parameter)

ϕ RH

Relative humidity (OC-parameter)

ω e

Engine speed