User:Anothersignalman/Railway Dynamics

This page stores various math functions for rail vehicle runtime estimates.

MACLINE estimates of speed at 100m intervals

 * $$V^2 = U^2 + KS(\frac{P}{UM}-\frac{g}{G}-A-BU-CU^2)$$


 * V = Final speed (m/s)
 * U = Initial speed (m/s)
 * S = Distance (m)
 * P = Power-at-rail for speed U (kW)
 * M = Train mass (t)
 * g = 9.8m/s2
 * G = Compensated grade (1 in G, +ve=uphill / -ve=downhill)
 * A, B & C = rolling resistance coefficients, assume 0.01, 0.0005, 0.00002.

Rolling resistance of trailing vehicles

 * $$RR = \frac {3600GD-9800MS} {GMS}$$


 * RR = rolling resistance (N/t)
 * G = Grade
 * D = Drawbar (kW)
 * M = Trailing mass (t)
 * S = Speed (km/h)