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train acceleration vs horsepower

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  • Member since
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  • From: SE. WI.
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Posted by mbinsewi on Tuesday, January 29, 2019 7:22 AM

I've watched and listened to operators using the Proto Throttle, and they say the start up, moving, acceleration, breaking, all feel much more realistic.  One of the participants was an engineer.

I've never operated one, and probably won't, but the way they describe it, it reminded me of the IC Hogger power pack with teathered walk around throttle.  It had momentum and breaking features that took some time to get used to.  I still have it, haven't used it since the last plywood central.

It was nothing like the conventional power pack.

With my small layout, I'm happy with what I have, but watching the demo of the PT was impressive.

Mike.

  • Member since
    July 2009
  • From: lavale, md
  • 4,678 posts
Posted by gregc on Tuesday, January 29, 2019 7:00 AM

thanks for the comments

rrinker
You can do it today in the loco by implementing a speed curve that is not linear, but again then it is fixed no matter what the loco is going - moving light, moving a small train, or moving a train close to its maximum capacity.

yes, a more logarithmic speed curve, where each speed step gets smaller might model this behavior better than constant acceleration rate programmed into CV3.

My understanding of the use of acceleration rate is to delay each speed step change by an amount proportional to CV3.

The plots show a relatively sharp rise in speed and then each increase is substantially delayed for lower HP locos.

 

rrinker
The decoder can measure the load ont he motor via BEMF, and a limit could be established to simulate both the maximum horsepower as well as tractive effort (often the limiting factor when starting out).

BEMF isn't necessary unless you want to account for grades.   The current speed step is known to the decoder.

 

rrinker
 I think you could also do this in the throttle, but it would be more of a preset simulation and you'd need to change it if you drop the entire train and then move the same engine(s) light.

I think there should be separate values for tonnage and HP.  HP could be programmed into the decoder.   Tonnage should be set for each train in the throttle and would need to be communicated to the decoder.

If this were implemented in a decoder, the loco would presumably start from zero if it lost power, a glitch that causes the processor to reboot.   If this were implemented in a throttle, if the loco lost power it would start at the speed dictated by time since the throttle was increased.  A keep alive would help in both cases.

 

doctorwayne
Al Krug did a nice article on tractive effort vs. horsepower.

I posted a link to the rectangular hyperbola curve showing tractive force vs speed.  

the plots show the effect of tractive effort on speed over time (i.e. acceleration).

 

Track fiddler
Wow that's one large burst of technical data

the plots summarize the data

 

Track fiddler
Your locomotive or locomotives start to creep very slowly and accelerate up to your command in a realistic time frame.

the plots show that a train actually accelerates (gains speed) quickly from being stopped, but acceleration diminshes and it takes longer to get to full speed.

 

http://www.n0kfb.org/rail/railphs.htm

thanks for posting.   It actually mentions F=ma.  it touches several issues: max speed, grades, max tractive effort, ... w/o really summarizing

I think Randy's comment was succinct

rrinker
a small 1200HP switcher can move a huge cut of cars ... but the switcher can't get that cut much above 15MPH while the pair of 3000HP road units can move it along at 60MPH.

i've read more than once that horsepower is speed

interest in the ProtoThrottle suggests modelers are interested in more realism.   Not sure if that interest is in looks or performance.    The ProtoThrottle includes code to specify tonnage that could be used to model acceleration as the plots suggest.   They indicate it's a future feature.

 

 

greg - Philadelphia & Reading / Reading

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Posted by "JaBear" on Tuesday, January 29, 2019 1:10 AM

doctorwayne
Al Krug did a nice article on tractive effort vs. horsepower.  Unfortunately, I can't seem to find it on-line.

QuestionQuestion

http://www.n0kfb.org/rail/railphs.htm

"One difference between pessimists and optimists is that while pessimists are more often right, optimists have far more fun."

  • Member since
    February 2018
  • From: Danbury Freight Yard
  • 459 posts
Posted by OldEngineman on Monday, January 28, 2019 10:47 PM

You wouldn't want to use a dcc setup that replicated the real acceleration rates of locos hauling long and heavy trains. You'd be pulling your hair out waiting for the thing to get up to normal speed -- if you'd get there at all.

Running the Conrail SEOP (Selkirk-Oak Point) some nights, with a longish train (say, 120 loads), on the table-top flat Hudson line going south, the engines would be in the 8th notch continuously and it would take 15 miles to begin to edge up close to track speed (50mph). That was with 3 B23-7's, all they gave you for that run.

After dropping cars at Poughkeepsie and Croton -- down to, say, 60 cars -- they'd run much better!

  • Member since
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Posted by Track fiddler on Monday, January 28, 2019 6:08 PM

Wow that's one large burst of technical data, ... I will give you that.

In scale modeling, I will just call it momentum.  My brother and I had this capability in the later part of the 70s when we were still teenagers. 

You get set up with the right Transformer, or build one like we did.   Then you just crank the knob on your power pack.  Your locomotive or locomotives start to creep very slowly and accelerate up to your command in a realistic time frame. 

Careful though,  they stop doing the same in a more prototypical fashion like your data in reverse I suppose. It takes some getting used to.  They have them with a break option but would be unrealistic at this pointWhistling

If you ever over shoot your destination,  you might as well back up and try again.

Locomotives take awhile to start and take even longer to stop.

Just my thoughts.

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Posted by doctorwayne on Monday, January 28, 2019 5:11 PM

Al Krug did a nice article on tractive effort vs. horsepower.  Unfortunately, I can't seem to find it on-line.

I have a copy of it, but it's rather lengthy and perhaps it's not suitable that I re-post it, as it's not my material. 

A more thorough on-line search may get you better results than my quick look.

Wayne

  • Member since
    February 2002
  • From: Reading, PA
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Posted by rrinker on Monday, January 28, 2019 10:08 AM

 Hmm, I don't see why this couldn't be implemented with DCC. But not int he throttle. The decoder can measure the load ont he motor via BEMF, and a limit could be established to simulate both the maximum horsepower as well as tractive effort (often the limiting factor when starting out). For older locos you would need feddback to the throttle to light up the wheel sli indicator, whereas in many modern locos you can just (assuming indestrucbile drawbars) just open it wide up and the control system will push as much power to the wheels as it can without slipping. 

 Hmm, good reason to build a DIY decoder, so you cna experiment siwht using the BEMF data, and a couple of the available CVs to enable/disable this feature and to set the limit. You'd basically want to program in somethign that reprsents toe HP of the loco, as well as the maximum TE - a small 1200HP switcher can move a huge cut of cars that might require a pair of 3000HP road units - but the switcher can't get that cut much above 15MPH while the pair of 3000HP road units can move it along at 60MPH. Low gearing and a higher TE to HP rating help the little guy do its work. 

 I think you could also do this in the throttle, but it would be more of a preset simulation and you'd need to change it if you drop the entire train and then move the same engine(s) light. You can do it today in the loco by implementing a speed curve that is not linear, but again then it is fixed no matter what the loco is going - moving light, moving a small train, or moving a train close to its maximum capacity. Actually, this has been somewhat mentioned in the past, using 3 step speed curves (or even the full 28 step tables) to configure some engines for faster response at the low end of the throttle and others for slower response at the low end. Uually discussed in terms of a drag freight loco vs a passenger loco. One example - lots of railroads used Trainmasters on commuter trains because of their high power and ability to get the train up to sped quickly after each station stop - critical in an all stops local. 

                             --Randy


Modeling the Reading Railroad in the 1950's

 

Visit my web site at www.readingeastpenn.com for construction updates, DCC Info, and more.

  • Member since
    July 2009
  • From: lavale, md
  • 4,678 posts
train acceleration vs horsepower
Posted by gregc on Monday, January 28, 2019 5:35 AM

I'm trying to get a better understanding of horsepower and train acceleration.   looking for quantitative confirmation.

the plots shows train speed v. time for 4 loco horsepower values: red 3000 HP, orange 2000 HP, cyan 1500 HP and green 1000 HP.  Raw results are also listed.

 

horsepower is a measure of work, lb-ft, per unit of time, minutes. This is equivalent to the product of force, lb, and speed, feet per min.    My understanding of this is the tractive effort, the tangential force of the wheel on the rails is equal to the horsepower / speed.   This means the force decreases with speed (the work is the same because a greater distance is traveled in the same amount of time).  (The rectangular hyperbola mentioned in previous threads).

 

the plots also account for a maximum tractive effort of 70,000 lbs assumed for 150 ton locomotive

the plots indicate speed (vertical axis) in mph vs time in minutes (horizontal axis).   The red curve, 3000 HP case, quickly reaches >30 mph w/in 5 min.   ~7.5 mins. for 2000 HP (orange) and ~27 mins. for 1500 HP (cyan).    The 1000 HP case (green) never exceeds ~24 mph because of insufficient HP.

 

the simulation also accounts for train resistance due to friction and aerodynamic drag as described in Armstrong's book, "The Railroad".   His tables indicate that resistance increases from 2.3 lbs/ton @ 10 mph to 10.4 @ 70 for fully loaded cars and 4.5-19.8 lbs/ton for empty cars.  This sim uses resistance for a fully loaded cars.

since the resistance increases with speed and the force from a constant horsepower decreases with speed, there can be a point where both are equal and no further increase in speed is possible.  That is why the 1000 HP case does not reach 30 mph.

 

while the numbers may not be completely accurate, I believe the trends are.  They show that acceleration is not constant.   For limited horsepower, as in the 2000 HP case, it took just a few minutes to reach 15 mph, but an additional 20 mins. to reach 30.    I think it would be interesting if our DCC throttles implemented this behavior instead of constant acceleration rates.

 

the following lists values for each point of each curve.   Assuming a starting speed of 1 foot/sec, acceleration is calculated for each time period (1 min) and the speed is adjusted.

the mass is in slugs (lb / 32.2) for what Armstrong reported as an average tonnage of 4760 tons for a train.

lb/ton is the resistance for the current speed and lbFres, lb-force resistance, is the product of resistance and tonnage (e.g. 1.6 * 4760) and increases with speed

lbFloco, lb-force for the locomotive is the tractive effort (33000 * hp / (60 * fps)) limited to 70,000 lbs

the net force is lbFloco - lbFres

acceleration, ft/sec^2, is the mass / lbFnet

ft/sec is the accumulation of the product of acceleration and time: fps += 60 * fps^2

mph is fps * 3600 / 5280

 #min   mph ft/sec  fps^2 lbFnet lbFloco    HP lbFres lb/ton    mass tonnage
    1   9.3  13.61  0.210  62156   70000  1000   7843   1.65  295652    4760
    2  13.4  19.64  0.100  29690   40399  1000  10708   2.25  295652    4760
    3  15.6  22.87  0.054  15926   28004  1000  12077   2.54  295652    4760
    4  17.1  25.15  0.038  11235   24047  1000  12812   2.69  295652    4760
    5  18.3  26.88  0.029   8537   21867  1000  13330   2.80  295652    4760
    6  19.3  28.25  0.023   6734   20457  1000  13723   2.88  295652    4760
    7  20.0  29.35  0.018   5434   19468  1000  14034   2.95  295652    4760
    8  20.6  30.26  0.015   4450   18736  1000  14285   3.00  295652    4760
    9  21.1  30.99  0.012   3627   18177  1000  14549   3.06  295652    4760
   10  21.5  31.60  0.010   2980   17745  1000  14764   3.10  295652    4760
   11  21.9  32.10  0.008   2464   17406  1000  14941   3.14  295652    4760
   12  22.2  32.51  0.007   2047   17134  1000  15087   3.17  295652    4760
   13  22.4  32.86  0.006   1706   16915  1000  15209   3.20  295652    4760
   14  22.6  33.15  0.005   1427   16737  1000  15310   3.22  295652    4760
   15  22.8  33.39  0.004   1196   16591  1000  15394   3.23  295652    4760
   16  22.9  33.60  0.003   1004   16470  1000  15465   3.25  295652    4760
   17  23.0  33.77  0.003    845   16370  1000  15525   3.26  295652    4760
   18  23.1  33.91  0.002    712   16287  1000  15575   3.27  295652    4760
   19  23.2  34.03  0.002    600   16218  1000  15617   3.28  295652    4760
   20  23.3  34.14  0.002    506   16160  1000  15653   3.29  295652    4760
   21  23.3  34.22  0.001    428   16111  1000  15683   3.29  295652    4760
   22  23.4  34.30  0.001    361   16070  1000  15708   3.30  295652    4760
   23  23.4  34.36  0.001    305   16036  1000  15730   3.30  295652    4760
   24  23.5  34.41  0.001    258   16007  1000  15748   3.31  295652    4760
   25  23.5  34.46  0.001    219   15982  1000  15763   3.31  295652    4760
   26  23.5  34.49  0.001    185   15961  1000  15776   3.31  295652    4760
   27  23.5  34.53  0.001    157   15944  1000  15787   3.32  295652    4760
   28  23.6  34.55  0.000    133   15929  1000  15796   3.32  295652    4760
   29  23.6  34.58  0.000    112   15917  1000  15804   3.32  295652    4760

color=cyan
next
 #min   mph ft/sec  fps^2 lbFnet lbFloco    HP lbFres lb/ton    mass tonnage
    1   9.3  13.61  0.210  62156   70000  1500   7843   1.65  295652    4760
    2  16.2  23.74  0.169  49889   60598  1500  10708   2.25  295652    4760
    3  19.2  28.15  0.074  21744   34753  1500  13009   2.73  295652    4760
    4  21.3  31.26  0.052  15294   29305  1500  14011   2.94  295652    4760
    5  22.9  33.60  0.039  11553   26395  1500  14841   3.12  295652    4760
    6  24.2  35.43  0.031   9027   24553  1500  15526   3.26  295652    4760
    7  25.2  36.90  0.024   7222   23283  1500  16061   3.37  295652    4760
    8  26.0  38.09  0.020   5869   22358  1500  16489   3.46  295652    4760
    9  26.6  39.07  0.016   4822   21659  1500  16837   3.54  295652    4760
   10  27.2  39.88  0.014   3993   21117  1500  17123   3.60  295652    4760
   11  27.7  40.55  0.011   3327   20687  1500  17360   3.65  295652    4760
   12  28.0  41.12  0.009   2786   20343  1500  17557   3.69  295652    4760
   13  28.4  41.59  0.008   2341   20063  1500  17722   3.72  295652    4760
   14  28.6  41.99  0.007   1973   19834  1500  17861   3.75  295652    4760
   15  28.9  42.33  0.006   1667   19645  1500  17978   3.78  295652    4760
   16  29.1  42.62  0.005   1411   19488  1500  18077   3.80  295652    4760
   17  29.2  42.86  0.004   1196   19357  1500  18160   3.82  295652    4760
   18  29.4  43.07  0.003   1016   19247  1500  18231   3.83  295652    4760
   19  29.5  43.24  0.003    863   19155  1500  18291   3.84  295652    4760
   20  29.6  43.39  0.002    734   19077  1500  18343   3.85  295652    4760
   21  29.7  43.52  0.002    625   19012  1500  18386   3.86  295652    4760
   22  29.7  43.63  0.002    533   18956  1500  18423   3.87  295652    4760
   23  29.8  43.72  0.002    454   18909  1500  18455   3.88  295652    4760
   24  29.9  43.80  0.001    387   18869  1500  18482   3.88  295652    4760
   25  29.9  43.87  0.001    330   18836  1500  18505   3.89  295652    4760
   26  29.9  43.92  0.001    282   18807  1500  18524   3.89  295652    4760
   27  30.0  43.97  0.001    241   18782  1500  18541   3.90  295652    4760
   28  30.0  44.01  0.001    205   18761  1500  18555   3.90  295652    4760

color=orange
next
 #min   mph ft/sec  fps^2 lbFnet lbFloco    HP lbFres lb/ton    mass tonnage
    1   9.3  13.61  0.210  62156   70000  2000   7843   1.65  295652    4760
    2  17.5  25.65  0.201  59291   70000  2000  10708   2.25  295652    4760
    3  21.6  31.62  0.100  29447   42890  2000  13442   2.82  295652    4760
    4  24.3  35.65  0.067  19836   34784  2000  14948   3.14  295652    4760
    5  26.3  38.64  0.050  14732   30856  2000  16124   3.39  295652    4760
    6  27.9  40.97  0.039  11471   28469  2000  16997   3.57  295652    4760
    7  29.2  42.83  0.031   9173   26851  2000  17677   3.71  295652    4760
    8  30.2  44.34  0.025   7462   25684  2000  18221   3.83  295652    4760

color=red
next
 #min   mph ft/sec  fps^2 lbFnet lbFloco    HP lbFres lb/ton    mass tonnage
    1   9.3  13.61  0.210  62156   70000  3000   7843   1.65  295652    4760
    2  17.5  25.65  0.201  59291   70000  3000  10708   2.25  295652    4760
    3  24.5  35.98  0.172  50893   64335  3000  13442   2.82  295652    4760
    4  28.6  41.99  0.100  29645   45865  3000  16219   3.41  295652    4760
    5  31.6  46.32  0.072  21316   39293  3000  17977   3.78  295652    4760
 

greg - Philadelphia & Reading / Reading

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