
Resistance Equations
RAILSIM supports
user-specified or default rolling resistance coefficients, including
tunnel operation coefficients. The following algorithms for
computation of rolling and aerodynamic resistance are available
individually:
Davis (Basic)
The
Basic Davis Equation is appropriate for high power/ton transit and
commuter rail vehicles. This equation results in higher resistances
than the Modified, Adjusted and Totten Revision versions of the
Davis Equation. The coefficients for operations through tube (bored)
tunnels and box structure tunnels originated with the Toronto
Transit Commission.
Davis (Modified)
This equation results in resistances which are very similar to the AAR Equation and lower than the Basic Davis Equation. It is
appropriate for freight trains with relatively high weights (gross
car weights of 70 tons or more). Support for separate, user-defined
tube (bored) tunnel and box structure tunnel operations is included.
Davis (Adjusted)
This equation includes freight car-specific adjustment factors to
the rolling resistances calculated for individual freight cars,
which are included for all entries in the RAILSIM rolling stock
libraries. Adjustments increase rolling resistance for intermodal
freight cars by 20 to 30 percent over other versions of the Davis
Equation. The Adjusted Davis formula is appropriate for intermodal
trains, particularly those with double-stack containers or mixtures
of different intermodal car types (TOFC, single stack COFC, double
stack COFC).
Davis (Totten Revision)
This equation results in calculated rolling resistances
which are generally higher than the AAR and Modified Davis
Equations, but lower than the Basic Davis Equation.
Association of
American Railroads (AAR)
This equation takes the same form as the
Davis Equation, but results in lower calculated resistances in most
cases. It is appropriate for modern North American freight trains
(typical gross car weights of 70 tons or more) but not for high
power/ton ratio transit and railroad multiple units vehicles. For
consistency with the Basic and Modified Davis Equations,
coefficients for tube and box tunnel aerodynamic resistance can be
user-specified. However, the AAR does not provide recommended
coefficients for tunnel modeling and the default values are the same
as for open air operation.
Canadian National
This equation was developed based on field testing of both freight
and passenger railroad rolling stock. It takes the form of the Davis
Equation, and includes coefficients for tube (bored) and box tunnel
aerodynamic resistance.
TGV Network (SNCF)
This equation has been calibrated by the French National Railways
for its high speed trains, including the TGV Paris-Southeast (PSE),
TGV Atlantique, TGV Reseau and Eurostar trains. It is applicable to
other high speed trainsets with a high degree of aerodynamic
styling, but not to other types of trains. Its calculated rolling
resistance is approximately 20 percent less at 100 km/h than the
German Passenger equation, which DBAG (German National Railroad)
uses for its high-speed ICE trains.
SNCF Electric
Vehicles
This equation applies to high power/ton ratio electric
vehicles, including rapid transit, commuter rail multiple unit and
locomotive-hauled trains. Along with the RATP derivation of this
equation, it is the only resistance methodology with a rail gauge
input and a number of pantographs input. The SNCF formula includes a
provision for increased aerodynamic resistance for operations in a
tunnel. The formula is applicable to TGV (high-speed) trains as
well, although the TGV Network equation has been more precisely
calibrated for high speed trains.
Passenger Broad
Gauge
This equation
was developed by Mannheim and applies to 1.676 meter (broad) gauge
rail operations only.
Mixed Freight Broad
Gauge
This equation
was also developed by Mannheim and applies to freight trains with a
mixture of car types operating on 1.676 meter (broad) gauge railroads.
Passenger Narrow
Gauge
This equation
applies only to passenger trains operating on meter (narrow) gauge
railroads.
Mixed Freight Narrow
Gauge
This equation
applies only to freight trains with a mixture of car types operating
on meter (narrow) gauge railroads.
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