The last motor ratings are merely steady-state values with zero acceleration at a max temp rise controlled by your controller and load to regulate speed.
There is no definition or meaning of PHI \$\phi\$ but my research is as follows;
\$V=IR + kφω\$ , \$T = kφI\$ (torque), k = back emf constant φ=Torque coefficient, I= amps $$φ=T/kI$$
Other helpful info
It will be at some unspecified hotspot temperature rise above 25'C like 60'C. You have to add solar heating in your ambient climate and package to find how to derate this power loss (heat) with speed. There is also a loss of magnet strength with temperature rise and TBD cooling thermal resistance parameter, such as open-air convection-cooled. Forced air external cooling may make a difference above 1 m/s before it starts to plateau from internal thermal resistance. You want laminar flow for low-drag and turbulent air flow for air over the heat radiators for cooling to get over 2 m/s thermal efficiencies.
In applications where a jerk would be too stressful from excessive torque for machine control, it is useful to use a high torque value at maximum temperature rise and RPM then repeat that value down to a very low RPM for max T and report the electric and mechanical values to indicate efficiency.
Max Torque is always at 0 RPM and the current is V/DCR for the applied voltage and coil resistance. This is not really useful to have whiplash and excessive stress on mechanical and electrical parts, so although max torque is given for max. acceleration the efficiency is zero at zero RPM and only increases when moving as Power = Torque x RPM.
For aerial EV drones, no matter how big you make the vehicle battery and blades, you can't expect more than a 30-minute flight. This is due to the current technology for Joules/kg for batteries, motors, and energy required for 30 minute flight / kg. (Perhaps Toshiba may exceed this with their $160m JV investment into aerial EV-taxies)
For ground based EV's, there will be a similar cost range limit for the energy density of storage and weight/size/drag coefficient of the vehicle with speed. Of course there will be an optimal speed for E to M efficiency, but your task must have some goal with renewable solar energy and the added cost, size/area of the vehicle and resulting drag coefficient of the aerodynamic design.
It could look like a pigskin Wilson J5V football, or Tesla or a Formula 1 race car. Your goal is to start the design by optimal specifications to achieve the goal, whether it is distance, speed, efficiency these must be worked on first with all the variables, and estimated coefficients of power, efficiency, weight and drag and optimized in a spreadsheet.
Your first step is to research every similar competition around the world, find the best, and make it better in some way without critical compromise. . Read about all the schedule, cost, and obstacles that had to be overcome.
Bigger and faster is more efficient for motors, and lighter and slower is more efficient for vehicles. Knowing how to estimate the unknowns and aging rates of batteries, how to maximize charge storage but suffer long term charge cycles and minimizing acceleration, maximizing coasting and minimizing braking are all your “Green goals” for driving habits. Controls can be specified to smoothen these controls to minimize current and torque surges with an algorithm using this table for steady state, using the output power to match your gear ratio and vehicle drag vs speed. Make a big list of all the variables and definitions and create the best EV in your work.
Everything is a tradeoff from Comfort to Power to efficiency to cost. So find the edges of these trade-offs and find which balance gives you the competitive edge.
An Engineer I grew up with did this for a motorcycle power tri-wheeler with 2 seats that had super high (?>100) MPG and a custom 3D printed body and welded frame with rear-wheel self-centering steering. It was called the Urbee 2 If you want to use some of his designs, I might be able to put you in touch, or just mention my name. He is a Prof. now in his retirement from Industrial amazing vehicle designs for super peddle bikes in tunnels, super-tractors and ultra-efficient gas vehicles.
For supercar blondie and sexy car fans
PI Controller of Speed Regulation of Brushless DC Motor Based on Particle Swarm Optimization Algorithm with Improved Inertia Weights
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