| θcrank
|
Crank rotating angle |
| Fpx
|
Pedaling horizontal force |
| Fpy
|
Pedaling vertical force |
|
|
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 |
|
|
Pedaling torque variation |
|
|
Maximum measured pedaling torque |
|
|
Average measured pedaling torque |
|
|
Crank rotating radius |
| Me
|
Mass of E-bike |
| Mc
|
Mass of cyclist |
| Jw
|
Wheel inertia |
| Rw
|
Bike wheel radius |
| g |
Gravitational constant |
|
|
Air density |
|
|
Aerodynamic drag coefficient |
| A |
Frontal area |
|
|
Transmission gear ratio |
|
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 |
|
|
Motor phase inductance |
|
|
Motor phase resistance |
|
|
Estimated motor position |
|
|
Last position measured by Hall sensors |
|
|
Estimated speed based on prior Hall sensor position |