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For the trains, it seems like you hit a certain speed and wheels just slip no matter what, and weights a factor. With my engine alone, it happens at ~75m/s. With added cars the speed gets lower and lower. With 3 cars attached, it hits 25 m/s and just slips no matter what. I can't do anything to get past this ceiling, doesn't matter how I adjust gearing/throttle.
I feel like the force of gravity needs upping? Things are a little too "floaty" in general in this game.
Build a light car with electric motors and nothing else, see how it can easily climb the steepest inclines.
Then add mass blocks, doubling the weight you'll start to notice how the added mass adds inertia but doesn't add traction, causing the vehicle to slide around.
Nothing much you can do other than using the biggest high grip tires or tank tracks/xml editing.
The way the game handles it all is very weird too. For example I have a loco that I cannot fix, at any speeds over 50kph, the wheels under the cab skitter where they rapidly gain and lose traction, the wheels under the long hood are fine. The loco is perfectly balanced weight wise in the middle, the power applied to the wheels is identical, forwards or back, it does the same thing. I've tried everything I can think of to get it to stop.
Best part is when I link them, they both jitter spin.
All you have to do is soften the amount of torque going onto the wheels. The usual method for doing this is a very low-tuned PID. Just remember, no matter the weight involved, smooth metal against smooth metal isn't very good for grip.
The game does have grip problems in that wheels have far too little grip in most situations. The train wheels, however have way, way too much grip compared to how much they really should have. Real trains can easily get massive wheelspin by revving too hard at 150km/h.
As for my freight loco, it starts doing the rapid skittering around 150 KPH with no cars, if I move the throttle past 50%.
Tractive effort that a loco can put out decreases as the train gets faster, until it reaches the point that no further effort is possible from the locomotive, and the train can go no faster. This is why wheel slip becomes less and less likely at higher speeds, because there isn't enough force going into the rails to cause the wheels to slip. This is known as the tractive effort curve and is specific to each locomotive type.
Wheel slip is most likely when just starting out, when the tractive effort available is at its maximum, and you have increased resistance in the form of static friction from trying to get the cars moving. This is why you need to start out slow with only a little bit of power to the motors. See wikipedia[en.wikipedia.org]
Any train can have wheel slip at basically any speed. Even an old steam locomotive can be chugging flat 60km/h and a bit too much coal will make it happily wheelspin.