电动汽车电机转矩计算
Motor torque calculation for EV

驱动力-行驶阻力平衡公式【Driving force- resistance balance formula】

$$F_t=F_f+F_w+F_i+F_j$$
where
$$\begin{gathered} F_t,驱动力[\text{Driving force}] \\ {F}_f，滚动阻力[\text{Rolling resistance force}] \\ {F}_w，空气阻力[\text{Air drag force}] \\ {F}_i，坡道阻力[\text{Slope resistance force}]【本文忽略】 \\ {F}_j，加速力[\text{Acceleration force}] \end{gathered}$$

滚动阻力计算[Rolling resistance force calculation]
$$F_f=mg{C}_r\cos \alpha$$
where
$$\begin{gathered} m，车辆质量[\text{Vehicle quality}]\text{kg} \\ g，重力加速度[\text{Gravity acceleration}]\text{m/s2} \\ {C}_r，滚动阻力系数[\text{Rolling resistance coefficient}] \\ \alpha ，道路坡角[\text{Road slope angle}]\text{rad} \end{gathered}$$

空气阻力计算[Rolling resistance force calculation]
$$F_w=\frac{1}{2}{C}_{w}A\rho v^2$$
where
$$\begin{gathered} C_w，空气阻力系数[\text{Air drag coefficient}] \\ A，迎风面积[\text{Reference area}]\text{m2} \\ \rho ，空气密度[\text{Air mass density}]\text{kg/m3} \\ v，车速[\text{Speed of the EV}]\text{m/s} \end{gathered}$$

加速力计算[Rolling resistance force calculation]
$$F_j=ma$$
where
$$a，汽车加速度[\text{Acceleration of EV}]\text{m/s2}$$

电机转矩计算[Motor torque calculation]
$$T_e=\frac{F_{t}r}{i_g\eta }$$
where
$$\begin{gathered} T_e，电磁转矩[\text{Electromagnetic torque}]\text{Nm} \\ {i}_g，总减速比[\text{Total fear ratio}] \\ \eta ，传动效率[\text{Transmission efficiency}] \\ r，轮胎半径[\text{Tire radius}]\text{m} \end{gathered}$$

文中公式参考来自知乎阿Q在江湖文章电动汽车动力匹配计算及Simulink仿真模型