Constant Power Acceleration Profiles for Electric Vehicles

Constant power acceleration has been shown to extend the range of electric vehicles. However, this type of acceleration generally requires accelerations above a vehiclés maximum attainable acceleration when the vehicle is at low velocities. A practical approach is to accelerate at the maximum until a velocity is reached such that constant power acceleration from that point onward does not require accelerations larger than the maximum available. To implement this approach it is necessary to know the time at which to begin constant power acceleration and the constant power to use. This paper formulates and solves this problem.