Skip to main content
. 2023 May 11;23(10):4657. doi: 10.3390/s23104657
θcrank Crank rotating angle
Fpx Pedaling horizontal force
Fpy Pedaling vertical force
Tpdl Pedaling torque
TM Motor-assisted torque
Ttotal Total synergetic torque
Troll Friction-reflected torque
Twind Windage torque
Tslope Climbing-reflected torque
Tdis External disturbance torque
Tdrv Actual wheel driving torque
Tpdl_r Pedaling torque variation
Tpdl_max Maximum measured pedaling torque
Tpdl_avg Average measured pedaling torque
Rcrank Crank rotating radius
Me Mass of E-bike
Mc Mass of cyclist
Jw Wheel inertia
Rw Bike wheel radius
g Gravitational constant
ρ Air density
Cd Aerodynamic drag coefficient
A Frontal area
Kgear Transmission gear ratio
P T Tire pressure
ωw Wheel angular speed
αw Wheel angular acceleration
Kroll Wheel resistance coefficient
Vwind Wind speed
Vbike Bike wheel speed
θslope Slope angle
id Direct-axis (d-axis) motor current
iq Quadrature-axis (q-axis) motor current
Vd Direct-axis (d-axis) motor voltage
Vq Quadrature-axis (q-axis) motor voltage
Kpd Direct-axis (d-axis) proportional controller gain
Kpq Quadrature-axis (q-axis) proportional controller gain
Kid Direct-axis (d-axis) integral controller gain
Kiq Quadrature-axis (q-axis) integral controller gain
L^ Motor phase inductance
R^ Motor phase resistance
θ^k Estimated motor position
θk1 Last position measured by Hall sensors
ω^k1 Estimated speed based on prior Hall sensor position