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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 F_t = F_f + F_w + F_i + F_j Ft=Ff+Fw+Fi+Fj
where
F t , 驱动力 [ Driving force ] F f ,滚动阻力 [ Rolling resistance force ] F w ,空气阻力 [ Air drag force ] F i ,坡道阻力 [ Slope resistance force ] 【本文忽略】 F j ,加速力 [ Acceleration force ] 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}] \\ Ft,驱动力[Driving force]Ff,滚动阻力[Rolling resistance force]Fw,空气阻力[Air drag force]Fi,坡道阻力[Slope resistance force]【本文忽略】Fj,加速力[Acceleration force]
滚动阻力计算[Rolling resistance force calculation]
F f = m g C r c o s α F_f = mgC_r\mathrm{cos}\alpha Ff=mgCrcosα
where
m ,车辆质量 [ Vehicle quality ] kg g ,重力加速度 [ Gravity acceleration ] m/s 2 C r ,滚动阻力系数 [ Rolling resistance coefficient ] α ,道路坡角 [ Road slope angle ] rad m,车辆质量[\text{Vehicle quality}] \quad \text{kg}\\ g,重力加速度[\text{Gravity~acceleration}] \quad \text{m/s$^2$}\\ C_r,滚动阻力系数[\text{Rolling~resistance~coefficient}] \\ \alpha,道路坡角[\text{Road~slope~angle}] \quad \text{rad}\\ m,车辆质量[Vehicle quality]kgg,重力加速度[Gravity acceleration]m/s2Cr,滚动阻力系数[Rolling resistance coefficient]α,道路坡角[Road slope angle]rad
空气阻力计算[Rolling resistance force calculation]
F w = 1 2 C w A ρ v 2 F_w = \frac{1}{2} C_w A \rho v^2 Fw=21CwAρv2
where
C w ,空气阻力系数 [ Air drag coefficient ] A ,迎风面积 [ Reference area ] m 2 ρ ,空气密度 [ Air mass density ] kg/m 3 v ,车速 [ Speed of the EV ] m/s C_w,空气阻力系数[\text{Air drag coefficient}] \\ A,迎风面积[\text{Reference area}] \quad \text{m$^2$}\\ \rho,空气密度[\text{Air mass density}] \quad \text{kg/m$^3$}\\ v,车速[\text{Speed of the EV}] \quad \text{m/s}\\ Cw,空气阻力系数[Air drag coefficient]A,迎风面积[Reference area]m2ρ,空气密度[Air mass density]kg/m3v,车速[Speed of the EV]m/s
加速力计算[Rolling resistance force calculation]
F j = m a F_j = ma Fj=ma
where
a ,汽车加速度 [ Acceleration of EV ] m/s 2 a,汽车加速度[\text{Acceleration of EV}] \quad \text{m/s$^2$}\\ a,汽车加速度[Acceleration of EV]m/s2
电机转矩计算[Motor torque calculation]
T e = F t r i g η T_e = \frac{F_t r}{i_g \eta} Te=igηFtr
where
T e ,电磁转矩 [ Electromagnetic torque ] Nm i g ,总减速比 [ Total fear ratio ] η ,传动效率 [ Transmission efficiency ] r ,轮胎半径 [ Tire radius ] m T_e,电磁转矩[\text{Electromagnetic torque}] \quad \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}] \quad \text{m}\\ Te,电磁转矩[Electromagnetic torque]Nmig,总减速比[Total fear ratio]η,传动效率[Transmission efficiency]r,轮胎半径[Tire radius]m
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
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