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It's true but since there is still a generator and traction motors between I'm not sure. It all depends on construction details. Is it DC generator and motors? Remember that DC motors have quite different characteristic. Top power is achieved at half of stall torque.
From there I also took my assumption about the constant power output:
You're right though, that the formula I gave above is not accurate for a DC motor.
Max power of the traction motor is not really relevant though, I think, because power is limited by other factors like the maximum current and voltage the DC motors allow through, as well as the prime mover's power output.
I found this formula that should better describe the power output generated by the DC motors (http://lancet.mit.edu/motors/motors3.html#powercurve):
P(w) = -(t / w_max) w^2 + tw, w = angular velocity, t = torque
It follows that t = P / w (1 - w / w_max), thus at constant power we have the inversely proportional dependency on the angular velocity w.
And we can also see that torque is produced until shortly before w_max, the no load speed of the motor (when no resistant torque is applied to the output shaft). This speed has to be inherently higher than the speed at the loco's top speed because it must be able to reach top speed with load applied to the motor output shafts.
Ie, at notch 1, the generator will provide a set amount of power which would be drawn by the traction motors until the loco reaches pre-determined speed, explaining why the amp meter would drop when reaching said speed.
I have no idea how this works IRL. Before actually playing the game, I thought the throttle positions were either a "target torque" for traction motors (generator RPM being automatically adjusted to the needs) or "generator power output", directly feeding power to the traction motors.
(power/speed - rolling resistance) = TE
If your rolling resistance is lets say 13 N/ton and your train weights a thousand tons, that's 13kN that have to consistantly be overcome as the train is moving (assuming flat ground, so gravity is irrelevant), once the speed is high enough for (TractiveEeffort - RollingRresistance) == 0, you will effectively hit a state of equilibrium.
Anyways, that's an intersting read. I always thought power curves for DC motors were similar to those of combustion engines. Although I knew DC motors have instant max torque, I never thought torque would decrease with RPMs, and max power actually be achieved around 50% max RPM. I'm having a pretty hard time wrapping my head around that, but the more I think about it, the more it makes sense.
I agree.
Although by torque I actually meant the torque on the output shaft of the motor, not tractive effort because that is irrelevant to the throttle behavior.
However, the problem in the simulation that I'm trying to point out indeed becomes apparent in the equilibrium points that you mention, which happen to be hit at all the wrong speeds because torque falls off so sharply at a certain speed per notch.
E.g., imagine a tractive effort curve with superimposed resistance curves (a plot of force over speed). You then get the equilibrium points of zero acceleration at the intersections between resistance and the tractive effort curve for the selected throttle position, i.e., clearly the resistance is not included in the tractive effort part of the curve, which rather is the conversion of traction motor torque into the force exerted by the locomotive on the rails - if I'm not mistaken.