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Catégorie :Category: nCreator TI-Nspire
Auteur Author: nunuj23
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 5.55 Ko KB
Mis en ligne Uploaded: 08/11/2024 - 13:13:20
Uploadeur Uploader: nunuj23 (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4304561
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 5.55 Ko KB
Mis en ligne Uploaded: 08/11/2024 - 13:13:20
Uploadeur Uploader: nunuj23 (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4304561
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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Formula 1: Line Practical Person Capacity P_l= P _(|cmsl)×T_l × N_c ×(PHF) - P_l = Line practical person capacity (persons/hour) - P_c|msl = Maximum scheduled load per carriage (persons/carriage) - T_l = Line practical train capacity (trains/hour) - N_c = Number of carriages per train (carriages/train) - PHF = Peak hour factor (dimensionless) Formula 2: Peak Hour Factor PHF = (frac{P_h})/({4 × P_{15}}) - ( PHF ) = Peak hour factor (dimensionless) - ( P_h ) = Passenger volume during peak hour for the line (persons/hour) - ( P_{15} ) = Passenger volume during the 15-minute peak of the peak hour (persons/15 minutes) ### Formula 3: Line Practical Train Capacity T_l = 3600/(h_ni,l) - T_l = Line practical train capacity (trains/hour) - 3600 = Number of seconds in an hour - h_ni,l= Line non-interference headway (seconds) Formula 4: Line Non-Interference Headway h_{ni,l} = max , (s=1&.N_S ) a h_ni,s - h_ni,l = Line non-interference headway (seconds) - h_ni,s= Non-interference headway at candidate critical station ( s ) (seconds) - N_s = Number of candidate critical stations along the line Formula 5: Non-Interference Headway at Candidate Critical Station h_ni = t_cs + t_d + t_om - h_ni= Non-interference headway at candidate critical station (seconds) - t_cs= Minimum train separation (seconds) - t_d = Average dwell time at candidate critical station (seconds) - t_om = Operating margin at candidate critical station (seconds) ### Formula 6: Operating Margin at Candidate Critical Station t_om = c_v ×t_d × Z - t_om= Operating margin (seconds) - c_v = Coefficient of variation of dwell times (dimensionless) - t_d = Average dwell time at candidate critical station (seconds) - Z = Standard normal variable (dimensionless) Formula 7: Minimum Train Separation at Candidate Critical Station (Time to Clear Exit Block) t_clear = ((2(L_t + d_eb))/(a - a_g G_0)) - t_clear= Time to clear exit block (seconds) - L_t = Length of train (meters) - d_eb= Extra block distance for clearing (meters) - a = Deceleration rate (m/s²) - a_g = Gravitational acceleration constant (m/s²) - G_0 = Gradient of the track (dimensionless) Formula 8: Minimum Train Separation (Time while Braking) t_braking = t_br + t_jl+ f_bs((v_a)/(d + a_g G_i )) - t_braking= Total braking time (seconds) - t_br + t_jl = Time before braking can commence (seconds) - f_bs= Effective number of signal blocks for braking (dimensionless) - v_a = Approach speed (m/s) - d = Deceleration rate (m/s²) - a_g= Gravitational acceleration (m/s²) - G_i = Track gradient at station (dimensionless) Formula 9: Minimum Train Separation Components t_{cs} = t_{overspeed} + t_{apprspd} + t_{braking} + t_{clear} - t_cs= Minimum train separation at critical station (seconds) - t_overspeed= Overspeed constraints time while accelerating (seconds) - t_apprspd = Time for train to travel its own length at approach speed (seconds) - t_braking= Braking time (seconds) - t_clear= Time to clear exit block completely (seconds) Formula 10: Time at Approach Speed - t_apprspd = Time to travel train's length at approach speed (seconds) - L_t = Length of train (meters) - v_a = Approach speed (m/s) 1. Platform passenger walking presence - Formula: Platform passenger walking presence (p) = {Total passengers (boarding and alighting) during analysis period} × (Walking time to clear platform length (min))/(Analysis period (min)) - Symbols: - p : Platform passenger walking presence - Total passengers: Total number of passengers boarding and alighting - Walking time to clear platform length: The time it takes for passengers to clear the platform - Analysis period: The time period over which the analysis is conducted (typically 15 minutes) 2. Space available per walking passenger - Formula: Space available per walking passenger= Platform passenger walking area (m^2){)/(Platform passenger walking presence (p)) - Symbols: - Platform passenger walking area: The area available for passengers walking - p : Platform passenger walking presence ### Image 3 - Bus Loading Area Capacity 1. **Bus loading area capacity**: - Formula: [ B_l = frac{3600 times g / C}{(t_d times g / C) + t_c + t_{om}} ] - Symbols: - ( B_l ): Bus loading area capacity (buses/hour) - ( 3600 ): Seconds in an hour - ( g / C ): Green time ratio for the traffic signal - ( t_d ): Dwell time while the traffic signal is green - ( t_c ): Clearance time - ( t_{om} ): Operating margin ### Image 4 - Traffic Signal Delay - Green Time Ratio 1. **Green time ratio**: - Formula: g / C = average green time for the traffic movement used by buses/traffic signal cycle length - Symbols: - ( g / C ): Green time ratio
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Compatible OS 3.0 et ultérieurs.
<<
Formula 1: Line Practical Person Capacity P_l= P _(|cmsl)×T_l × N_c ×(PHF) - P_l = Line practical person capacity (persons/hour) - P_c|msl = Maximum scheduled load per carriage (persons/carriage) - T_l = Line practical train capacity (trains/hour) - N_c = Number of carriages per train (carriages/train) - PHF = Peak hour factor (dimensionless) Formula 2: Peak Hour Factor PHF = (frac{P_h})/({4 × P_{15}}) - ( PHF ) = Peak hour factor (dimensionless) - ( P_h ) = Passenger volume during peak hour for the line (persons/hour) - ( P_{15} ) = Passenger volume during the 15-minute peak of the peak hour (persons/15 minutes) ### Formula 3: Line Practical Train Capacity T_l = 3600/(h_ni,l) - T_l = Line practical train capacity (trains/hour) - 3600 = Number of seconds in an hour - h_ni,l= Line non-interference headway (seconds) Formula 4: Line Non-Interference Headway h_{ni,l} = max , (s=1&.N_S ) a h_ni,s - h_ni,l = Line non-interference headway (seconds) - h_ni,s= Non-interference headway at candidate critical station ( s ) (seconds) - N_s = Number of candidate critical stations along the line Formula 5: Non-Interference Headway at Candidate Critical Station h_ni = t_cs + t_d + t_om - h_ni= Non-interference headway at candidate critical station (seconds) - t_cs= Minimum train separation (seconds) - t_d = Average dwell time at candidate critical station (seconds) - t_om = Operating margin at candidate critical station (seconds) ### Formula 6: Operating Margin at Candidate Critical Station t_om = c_v ×t_d × Z - t_om= Operating margin (seconds) - c_v = Coefficient of variation of dwell times (dimensionless) - t_d = Average dwell time at candidate critical station (seconds) - Z = Standard normal variable (dimensionless) Formula 7: Minimum Train Separation at Candidate Critical Station (Time to Clear Exit Block) t_clear = ((2(L_t + d_eb))/(a - a_g G_0)) - t_clear= Time to clear exit block (seconds) - L_t = Length of train (meters) - d_eb= Extra block distance for clearing (meters) - a = Deceleration rate (m/s²) - a_g = Gravitational acceleration constant (m/s²) - G_0 = Gradient of the track (dimensionless) Formula 8: Minimum Train Separation (Time while Braking) t_braking = t_br + t_jl+ f_bs((v_a)/(d + a_g G_i )) - t_braking= Total braking time (seconds) - t_br + t_jl = Time before braking can commence (seconds) - f_bs= Effective number of signal blocks for braking (dimensionless) - v_a = Approach speed (m/s) - d = Deceleration rate (m/s²) - a_g= Gravitational acceleration (m/s²) - G_i = Track gradient at station (dimensionless) Formula 9: Minimum Train Separation Components t_{cs} = t_{overspeed} + t_{apprspd} + t_{braking} + t_{clear} - t_cs= Minimum train separation at critical station (seconds) - t_overspeed= Overspeed constraints time while accelerating (seconds) - t_apprspd = Time for train to travel its own length at approach speed (seconds) - t_braking= Braking time (seconds) - t_clear= Time to clear exit block completely (seconds) Formula 10: Time at Approach Speed - t_apprspd = Time to travel train's length at approach speed (seconds) - L_t = Length of train (meters) - v_a = Approach speed (m/s) 1. Platform passenger walking presence - Formula: Platform passenger walking presence (p) = {Total passengers (boarding and alighting) during analysis period} × (Walking time to clear platform length (min))/(Analysis period (min)) - Symbols: - p : Platform passenger walking presence - Total passengers: Total number of passengers boarding and alighting - Walking time to clear platform length: The time it takes for passengers to clear the platform - Analysis period: The time period over which the analysis is conducted (typically 15 minutes) 2. Space available per walking passenger - Formula: Space available per walking passenger= Platform passenger walking area (m^2){)/(Platform passenger walking presence (p)) - Symbols: - Platform passenger walking area: The area available for passengers walking - p : Platform passenger walking presence ### Image 3 - Bus Loading Area Capacity 1. **Bus loading area capacity**: - Formula: [ B_l = frac{3600 times g / C}{(t_d times g / C) + t_c + t_{om}} ] - Symbols: - ( B_l ): Bus loading area capacity (buses/hour) - ( 3600 ): Seconds in an hour - ( g / C ): Green time ratio for the traffic signal - ( t_d ): Dwell time while the traffic signal is green - ( t_c ): Clearance time - ( t_{om} ): Operating margin ### Image 4 - Traffic Signal Delay - Green Time Ratio 1. **Green time ratio**: - Formula: g / C = average green time for the traffic movement used by buses/traffic signal cycle length - Symbols: - ( g / C ): Green time ratio
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