You probably need to get a book out on the subject or the internet equivalent.
You can make a fairly reasonable model of a motor by combining a DC voltage source and an inductance. The voltage of the source is proportional to the rotational speed (scale factor Kv) and the torque generated by the motor is proportional to the current in the stator (the static winding) – scale factor Kt. That pretty much does all you need.
When the motor is spinning with no load, the voltage source ("back emf" roughly equals the power supply voltage. At stall, the current is the voltage source divided by the stator resistance.
With wound field rotors (dynamos and alternators), the voltage factor Kv varies with the field current. Higher current gives higher torques but lower speeds. With permanent magnet motors Kv doesn't vary.
Murray