Creating the most efficient motor is every designers dream. 8)
I would agree with
Luke on the in situ freewheel test, and add that if one could graph the result – the curve would fit the mathematical relationship of a typical Energy Balance equation.
To begin, the value to overcome direct drive drag is unique to each of us and relative to the equipment, environment, and style of riding. However we are able to develop a formula for calculating the losses of a system and thus estimate to a fine degree of accuracy the effects of drag.
The
First Law of Thermodynamics deals with the conservation of energy, that the total energy of an isolated system is constant; energy can be transformed from one form to another, but cannot be created or destroyed. Therefore we can state that the total Energy (
E) of the system is equal to the amount of Heat (
Q) and Work (
W) added or removed.
In the case of the direct drive motor, we can define
E as being the total Battery Power,
W as horsepower/torque produced during freewheel (in the ideal) or watts/mile (in the practical application), and
Q as friction, drag, waste heat.
For the direct Drive,
Q can be resolved as Inertia, tire-to-pavement drag, EV aerodynamics which are notable and common to all, although more importantly are the losses relating to conversion of transmission of DC to the controller, DC to AC within the controller, transmission of AC to the Motor, AC to EMF, BEMF, eddy currents, and mechanical drag due to the physical assembly and contamination (effects of moisture on the bearings etc).
The Sum of these losses between the Battery and the shaft horsepower measured determines the efficiency of the System, and from that value we can determine the amount of battery power required over velocity range at STP. Aggregation of repetitive data provides a practical model against the ideal, and from that we are able to box in the amount of error; tolerance by another name.
Given that we are mainly DYI enthusiasts, the amount of variance between our rides is going to vary widely. Thus…
Without a formula, without tangible data, it is difficult to estimate the amount of “battery power to overcome drag”. The best measurement is the practical observation made by the observer at the helm over time upon the same or similar routes using the same equipment. By the same token, one could also determine the approximate range of their ride for said battery capacity. In my mind, the two goals go hand in hand. :wink:
In flux,
KF