HS2 Traction Energy Modelling

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HS2 Traction Energy Modelling Version 1.1 31 December 2009 Page 1 of 16

Contents 1. Introduction...3 2. Assumptions...3 3. Modelling Approach...3 4. Key Conclusions...4 Appendix A: Imperial College Final Outputs Traction Energy Modelling...6 Acronyms A, B, C Resistance coefficients FRRC Future Railway Research Centre (Imperial College) ICE Inter City Express km kilometres km/h kilometres / hour kn kilonewtons kv kilovolts kw kilowatts kwh kilowatt hour PBKA Paris-Brussels-Koln-Amsterdam R Resistance (kn) RSSB Rail Safety and Standards Board TGV Train à Grande Vitesse V Velocity (km/h) Page 2 of 16

1. Introduction This document summarises the traction power energy assessment for High Speed 2 operation using the HS2 Reference train. This analysis is required to understand the traction energy consumption of the HS2 reference trains for CO2 comparison and also energy consumption comparison in kw-h/seat km. 2. Assumptions The assumptions used during the assessment are shown in the modelling outputs report at Appendix A, however the main assumptions are: Passenger carrying capacity (510 seats) Mass of train (382 tonnes) Passenger loading (70%) Reference train traction and performance parameters Route - Euston to Birmingham Fazeley Street Gradient profiles, line speed profiles and three tunnel locations as per HS2 Route 3 data Maximum line speed of 360km/h Two intermediate stops at Old Oak Common and at Birmingham Interchange with dwell times of 2 minutes each 400m train is defined as 2x200m coupled reference trains 3. Modelling Approach The traction energy modelling was undertaken by Imperial College using their Train Energy model (details in Appendix A). The scenarios and sensitivities modelled are summarised below: Scenarios modelled: Two line speed scenarios have been assessed - maximized (i.e. as fast as possible within constraints of train and permitted line speed) and optimised (i.e. with lower line speeds at certain points) Journeys in both directions have been modelled (i.e. Euston to Birmingham and return) Additional scenario modelled including an additional station stop mid-route Scenario modelled for 200m and 400m train (2x200m trains) Energy regenerated modelled Page 3 of 16

Sensitivities assessed: Difference due to 100% passenger load compared to 70% Difference due to an additional stop at mid point (88km from Euston) Effect of optimised driving line speed profile Effect of 200m train compared to 400m (2x200m) train Effect of plain line running versus running in a notional tunnel (10km length) 4. Key Conclusions The detailed modelling outputs and conclusions are contained in the report at Appendix A. All results are subject to variation depending on the scenario being assessed. Key conclusions are summarised below: A 200m train from Euston to Birmingham with 2 stops consumes 4700kWh energy (after regeneration benefit of 437kWh). Energy regenerated varies from 8.5% to 9.8% for the two stops scenarios. Net energy consumption per seat-km varies from 0.050 to 0.053 kwh / seat-km for the 200m trains. Net energy consumption increases 2% to 4% with an extra third stop. Net energy consumption saving of 11% to 13% with the optimised line speed assumption. Net increase in energy consumption of 1% for 30% extra passenger load (i.e. 70% and 100% passenger load compared). Net saving in energy consumption of 3% to 4% per seat-km with use of 400m train (i.e. 2x200m coupled sets). Journey time saving of 3.5 minutes consumes 23% more energy (comparison of 360 km/h operation to 300 km/h operation). Additional energy consumption due to operation through a notional 10km tunnel compared with a normal 10km open line at 320km/h: - For 12m diameter tunnel: 39% additional energy consumption - For 9.8m diameter tunnel: 64% additional energy consumption - For 8.5m diameter tunnel: 94% additional energy consumption Total annual energy consumption on the line of 150 million kwh based on 0.048 kwh/seat-km and 3.2 billion seat-km (running 50 x 200m trains per day each way). Page 4 of 16

Appendix A: Imperial College Final Outputs Traction Energy Modelling Page 5 of 16

Final Outputs Traction Energy Modelling 7th December 2009 Robert Watson Anouk Dufour Diem Tran Thi Ngoc 1 Assumptions Scenarios investigated Example simulator outputs Analysis FRRC 2 Page 6 of 16

HS2 reference train key assumptions 200m length train Mass of train unloaded : 382 tonnes Rotational inertia mass factor : 4% Passenger mass fully loaded : 43 tonnes Passenger loading : 70% (unless otherwise stated) Train length : 200 m Ratio of power at the wheel to drawn power from the line : 0.823 Auxiliary power considered Auxiliary Power System efficiency : 85% Tractive Effort : Curve for 25 kv for HS2 reference train. Braking Effort : Electrodynamic and friction braking curves for HS2 reference train Regeneration efficiency: 80% Tunnel resistance considered 3 HS2 reference train key assumptions 400m length train Mass of train unloaded : 764 tonnes Rotational inertia mass factor : 4% Passenger mass fully loaded : 86 tonnes Passenger loading : 70% (unless otherwise stated) Train length : 400 m Ratio of power at the wheel to drawn power from the line : 0.823 Auxiliary power considered. Auxiliary Power System efficiency : 85%. Tractive Effort : Double the tractive effort of the 200 m train. Braking Effort : Double the electrodynamic and friction braking of the 200 m train Regeneration efficiency: 80% Davis equation resistance : Davis equation coefficients variation on 200m train Tunnel resistance considered 4 Page 7 of 16

Route assumptions Gradient profile Gradient profile of Route 3 Euston to Birmingham Fazeley Street Route length: 174 km Reverse gradient profile used for Birmingham to Euston Line speed profile 2 scenarios Maximum line speed profile for Route 3 Euston to Birmingham Fazeley Street Optimised line speed profile, with lower line speeds in certain regions along the line N.B. Reverse line speed profile used for Birmingham to Euston in both cases Tunneling 3 tunnels as defined in Route 3 Euston to Birmingham Step change of resistance acting on train on entry and exit of tunnels Stops 2 scenarios 2 intermediate stops at Old Oak Common and Birmingham Interchange An extra stop 88km from Euston (modelling assumption) A dwell time of 2 minutes at each station stop Assumptions Scenarios investigated Example simulator outputs Analysis FRRC 6 Page 8 of 16

Scenarios investigated: 200m trains (1 10) Scenario Line speed Intermediate stops Passenger load (%) Euston - Birmingham 1 Maximum 2 70 2 Maximum 3 70 3 Optimised 2 70 4 Optimised 3 70 5 Maximum 2 100 Birmingham - Euston 6 Maximum 2 70 7 Maximum 3 70 8 Optimised 2 70 9 Optimised 3 70 10 Maximum 2 100 200m length trains, 360km/h max train speed FRRC 7 Scenarios investigated: 400m trains (11 18) Scenario Line speed Intermediate stops Euston - Birmingham 11 Maximum 2 12 Maximum 3 13 Optimised 2 14 Optimised 3 Birmingham - Euston 15 Maximum 2 16 Maximum 3 17 Optimised 2 18 Optimised 3 400m length trains, 360km/h max train speed, 70% passenger loading 8 Page 9 of 16

Scenarios investigated: max speed study (19 32) Scenario Maximum train speed (km/h) Euston - Birmingham 19 300 20 310 21 320 22 330 23 340 24 350 25 360 Birmingham - Euston 26 300 27 310 28 320 29 330 30 340 31 350 32 360 200m length trains, max line speed, 2 intermediate stops, 70% passenger loading 9 Assumptions Scenarios investigated Example simulator outputs Analysis 10 Page 10 of 16

Example simulator outputs: scenario 2 11 Example simulator outputs: scenario 2 12 Page 11 of 16

Example simulator outputs: scenario 8 13 Example simulator outputs: scenario 8 14 Page 12 of 16

Assumptions Scenarios investigated Example simulator outputs Analysis 15 Analysis A Effect of an extra stop Eus-Bir 3 stops (scen. 2) Bir-Eus 2 stops (scen. 6) Bir-Eus 3 stops (scen. 7) Estimated 2 4 % increase in net energy consumption due to extra stop* *N.B.: Estimated savings may vary slightly depending on scenarios investigated Scenarios for comparison with each other shown in same colour 16 Page 13 of 16

Analysis B Effect of an optimized line speed profile Eus-Bir Max. linespeed (scen. 1) Eus-Bir Opt. linespeed (scen. 3) Bir-Eus Max. linespeed (scen. 6) Bir-Eus Opt. linespeed (scen. 8) Estimated 11 13 % saving in net energy consumption due to optimized line speed* *N.B.: Estimated savings may vary slightly depending on scenarios investigated Scenarios for comparison with each other shown in same colour 17 Analysis C Effect of passenger loading Eus-Bir 70% load (scen. 1) Eus-Bir 100% load (scen. 5) Bir-Eus 70% load (scen. 6) Bir-Eus 100% load (scen. 10) Estimated < 1 % increase in net energy consumption due to 30% extra passenger load* N.B.: Estimated savings may vary slightly depending on scenarios investigated Scenarios for comparison with each other shown in same colour 18 Page 14 of 16

Analysis D Effect of train length Eus-Bir 200 metres (scen. 1) Eus-Bir 400 metres (scen. 11) Bir-Eus 200 metres (scen. 6) Bir-Eus 400 metres (scen. 15) Estimated 3-4 % saving in net energy consumption per seat-km due to 400 m train* *N.B.: Estimated savings may vary slightly depending on scenarios investigated Scenarios for comparison with each other shown in same colour FRRC 19 Analysis E Effect of maximum train speed for Euston - Birmingham Saving just over 3.5 minutes consumes 23 % more energy FRRC 20 Page 15 of 16

Analysis F Comparison with other high speed trains * Data from RSSB report :T618 Traction Energy Metrics ** Data from simulations 21 Analysis G Effect of a notional 10 km tunnel Assumptions: Speed through the tunnel is constant with V = 320 km/h. Length of tunnel = 10 km. 3 equivalent internal diameters investigated: 8.5, 9.8 and 12 metres. Level track. 200 metre train. Tunnel ID Work done (kwh) Extra work done due to tunnel (kwh) % increase in work done due to tunnel No tunnel 167 N/A N/A 8.5 metre diameter 324 157 94 9.8 metre diameter 274 107 64 12 metre diameter 232 65 39 22 Page 16 of 16