Hi Sunking,
No, that is not right. Here is a tutorial which turned up quickly on a google. It appears pretty good.
https://www.electrical4u.com/types-of-dc-motor-separately-excited-shunt-series-compound-dc-motor/
Thx Major. Honestly I do not see anything on the link under Series Motors that invalidates what I have said or expressed. From what I can see mathematically, theoretically, and application are correct. Not arguing or debating, just my observation.
The formulas in the link are pure Ohm's Law which I believe I have stated accurately. I see a lot of info missing, and the application the link addresses is NOT applicable to Continuous use and Variable Speed required for EV use. They specifically say, direct battery, no current or voltage controls. They further add if operated other than a Starter Motor would burn up which I agree with when used in this manner. The link is a very specific application of short burst of low RPM very high torque for starting operation of like an engine or to get a Load moving like a craine making the initial pull to get RPM's up and then use a SEPEX or Induction motor take over.
To use a Series Motor in an EV requires regulating both current and voltage to prevent a Series Motor from self destruction and some control of speed which is going to be poor to start with using a Series Motor. Had to go back and look at my notes because like I said DC motors are not my daily thing. But when I ran through this fire drill 5 or 6 years ago, I had good specs on Golf Cart Motor that included a full set of peak/continuous power power, voltage, current, torque, and temperatures. Interesting to note they give two sets of specs, one for 36, and once for 48 volts.
I designed just off the curves, but those curves match the specs and you can use the math to recreate the curves. Example they give you Rm of the resistance of both Ra and Rs totaled, max peak power, max continuous power, Eb and so fourth. Basically from what I can tell is thermal and mechanical RPM limits.
Where am I off at?
That link is fine is you want to use a 12 volt starter motor for a diesel engine to put on a wheel chair and use a 24 volt battery. Speed control with an off/on switch operating a 1000 amp Contactor to connect the battery directly to the motor. Would work at least once and knock you unconscious when you turn the switch on, flips the wheel chair backwards upside down and landing on your head while the motor flies apart.