fixed bibliography section
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@ -1,5 +1,46 @@
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#!/usr/bin/env julia
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# -*- coding: UTF-8 -*-
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# __julia-version__ = 1.7.0
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# __author__ = "Max Kannenberg"
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# __copyright__ = "2022"
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# __license__ = "ISC"
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module DrivingDynamics
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#########################
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## literature the driving dynamics equations are based on:
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##
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## @incollection{Bruenger:2014, % Chapter 4
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## author = {Brünger, Olaf and Dahlhaus, Elias},
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## year = {2014},
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## title = {Running Time Estimation},
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## pages = {?--?},
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## booktitle = {Railway Timetabling \& Operations.},
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## editora = {Hansen, Ingo A.},
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## editorb = {Pachl, Jörn},
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## isbn = {978-3-777-10462-1},
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## publisher = {Eurailpress DVV Media Group},
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## }
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## @article{Jaekel:2014,
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## author = {Jaekel, Birgit and Albrecht, Thomas},
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## year = {2014},
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## title = {Comparative analysis of algorithms and models for train running simulation},
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## journal = {Journal of Rail Transport Planning \& Management},
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## doi = {10.1016/j.jrtpm.2014.06.002},
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## volume = {4},
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## number = {1-2},
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## pages = {14--27},
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## publisher = {Elsevier},
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## }
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## @Book{Wende:2003,
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## author = {Wende, Dietrich},
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## date = {2003},
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## title = {Fahrdynamik des Schienenverkehrs},
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## isbn = {978-3-322-82961-0},
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## publisher = {Springer-Verlag},
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## }
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#########################
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# export resisting forces and acceleration
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export calcTractionUnitResistance, calcWagonsResistance, calcForceFromCoefficient, calcAcceleration,
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@ -12,11 +53,6 @@ calc_ΔW, calc_ΔE,
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# export braking information
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calcBrakingDistance, calcBrakingStartVelocity, calcBrakingAcceleration
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# literature the driving dynamics equations are based on:
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# - Brünger, Olaf and Dahlhaus, Elias. 2014. Running Time Estimation. [book authors] Ingo Arne Hansen and Jörn Pachl. Railway Timetabling & Operations. Analysis Modelling Optimisation Simulation Performance Evaluation. Hamburg : Eurailpress DVV Media Group, 2014, edtition 2, chapter 4.
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# - Jaekel, Birgit and Albrecht, Thomas. 2014. Comparative analysis of algorithms and models for train running simulation. Journal of Rail Transport Planning & Management. 2014.
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# - Wende, Dietrich. 2003. Fahrdynamik des Schienenverkehrs. Wiesbaden : Vieweg + Teubner, 2003. edition 1.
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v00 = 100/3.6 # velocity constant (in m/s)
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g = 9.81 # acceleration due to gravity (in m/s^2) # TODO: should more digits of g be used? g=9,80665 m/s^2
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@ -45,7 +81,7 @@ julia> calcTractionUnitResistance(30.0, ? ? ?)
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```
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"""
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function calcTractionUnitResistance(v::AbstractFloat, train::Dict)
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# equation is based on Wende, page 151
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# equation is based on [Wende:2003, page 151]
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f_Rtd0 = train[:f_Rtd0] # coefficient for basic resistance due to the traction units driving axles (in ‰)
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f_Rtc0 = train[:f_Rtc0] # coefficient for basic resistance due to the traction units carring axles (in ‰)
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F_Rt2 = train[:F_Rt2] # coefficient for air resistance of the traction units (in N)
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@ -65,7 +101,7 @@ TODO
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calculate and return the wagons vehicle resistance dependend on the velocity
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"""
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function calcWagonsResistance(v::AbstractFloat, train::Dict)
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# equation is based on a combination of the equations of Strahl and Sauthoff (Wende, page 153) with more detailled factors (Lehmann, page 135)
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# equation is based on a combination of the equations of Strahl and Sauthoff [Wende:2003, page 153] with more detailled factors (Lehmann, page 135)
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f_Rw0 = train[:f_Rw0] # coefficient for basic resistance of the set of wagons (consist) (in ‰)
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f_Rw1 = train[:f_Rw1] # coefficient for the consists resistance to rolling (in ‰)
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f_Rw2 = train[:f_Rw2] # coefficient fo the consistsr air resistance (in ‰)
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@ -78,7 +114,7 @@ function calcWagonsResistance(v::AbstractFloat, train::Dict)
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end #function calcWagonsResistance
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function calcForceFromCoefficient(f_R::Real, m::Real)
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# equation is based on Wende, page 8
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# equation is based on [Wende:2003, page 8]
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# f_R: specific resistance (in ‰)
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# m: vehicle's mass (in kg)
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@ -88,7 +124,7 @@ function calcForceFromCoefficient(f_R::Real, m::Real)
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end #function calcForceFromCoefficient
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function calcAcceleration(F_T::Real, F_R::Real, m_train::Real, ξ_train::Real)
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# equation is based on Brünger et al., page 72 with a=dv/dt
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# equation is based on [Bruenger:2014, page 72] with a=dv/dt
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# F_T: tractive effort (in N)
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# F_R: resisting forces (in N)
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@ -100,7 +136,7 @@ function calcAcceleration(F_T::Real, F_R::Real, m_train::Real, ξ_train::Real)
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end #function calcAcceleration
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function calc_Δs_with_Δt(Δt::Real, a_prev::Real, v_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δt: time step (in s)
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# a_prev: acceleration from previous data point
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@ -110,7 +146,7 @@ function calc_Δs_with_Δt(Δt::Real, a_prev::Real, v_prev::Real)
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end #function calc_Δs_with_Δt
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function calc_Δs_with_Δv(Δv::Real, a_prev::Real, v_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δv: velocity step (in m/s)
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# a_prev: acceleration from previous data point
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@ -120,7 +156,7 @@ function calc_Δs_with_Δv(Δv::Real, a_prev::Real, v_prev::Real)
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end #function calc_Δs_with_Δv
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function calc_Δt_with_Δs(Δs::Real, a_prev::Real, v_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δs: distance step (in m)
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# a_prev: acceleration from previous data point
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@ -131,7 +167,7 @@ function calc_Δt_with_Δs(Δs::Real, a_prev::Real, v_prev::Real)
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end #function calc_Δt_with_Δs
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function calc_Δt_with_Δv(Δv::Real, a_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δv: velocity step (in m/s)
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# a_prev: acceleration from previous data point
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@ -140,7 +176,7 @@ function calc_Δt_with_Δv(Δv::Real, a_prev::Real)
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end #function calc_Δt_with_Δv
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function calc_Δt_with_constant_v(Δs::Real, v::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δs: distance step (in m)
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# v: constant velocity (in m/s)
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@ -149,7 +185,7 @@ function calc_Δt_with_constant_v(Δs::Real, v::Real)
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end #function calc_Δt_with_constant_v
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function calc_Δv_with_Δs(Δs::Real, a_prev::Real, v_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δs: distance step (in m)
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# a_prev: acceleration from previous data point
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@ -159,7 +195,7 @@ function calc_Δv_with_Δs(Δs::Real, a_prev::Real, v_prev::Real)
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end #function calc_Δv_with_Δs
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function calc_Δv_with_Δt(Δt::Real, a_prev::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# Δt: time step (in s)
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# a_prev: acceleration from previous data point
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@ -168,10 +204,8 @@ function calc_Δv_with_Δt(Δt::Real, a_prev::Real)
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return Δv
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end #function calc_Δv_with_Δt
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function calc_ΔW(F_T_prev::Real, Δs::Real)
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# equation is based on Wende, page 17
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# equation is based on [Wende:2003, page 17]
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# F_T_prev: tractive force from previous data point
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# Δs: distance step
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@ -180,7 +214,7 @@ function calc_ΔW(F_T_prev::Real, Δs::Real)
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end #function calc_ΔW
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function calc_ΔE(ΔW::Real)
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# simplified equation is based on Jaekel et al., page 6
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# simplified equation is based on [Jaekel:2014, page 6]
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# ΔW: mechanical work in this step (in Ws)
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ΔE = ΔW # energy consumption in this step (in Ws)
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@ -188,7 +222,7 @@ function calc_ΔE(ΔW::Real)
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end #function calc_ΔW
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function calcBrakingDistance(v_start::Real, v_end::Real, a_braking::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# v_start: velocity at the start of braking (in m/s)
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# v_end: target velocity at the end of braking (in m/s)
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@ -199,7 +233,7 @@ function calcBrakingDistance(v_start::Real, v_end::Real, a_braking::Real)
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end #function calcBrakingDistance
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function calcBrakingStartVelocity(v_end::Real, a_braking::Real, s_braking::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# v_end: target velocity at the end of braking (in m/s)
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# a_braking: constant braking acceleration (in m/s^2)
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@ -209,7 +243,7 @@ function calcBrakingStartVelocity(v_end::Real, a_braking::Real, s_braking::Real)
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end #function calcBrakingStartVelocity
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function calcBrakingAcceleration(v_start::Real, v_end::Real, s_braking::Real)
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# equation is based on Wende, page 37
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# equation is based on [Wende:2003, page 37]
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# v_start: braking start velocity (in m/s)
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# v_end: target velocity at the end of braking (in m/s)
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