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OPTIMIZATION OF SPEED PROFILE AND QUICK CHARGING
OF A CATENARY FREE TRAIN WITH ON-BOARD ENERGY STORAGE
19th October 2010
M. Miyatake and H. Haga Sophia University, Japan
INTRODUCTION
BackgroundApplication of energy storage devices to railwayIt enables effective use of regenerative energy. Some attempts for energy storage on-board can be seen.
Objective
catenary free sections
quick charging
terminal
catenary line
fast slow
a tramcar with small energy storage
Eco-driving and charging on the catenary-free sections saving energysmaller storage capacityAssumed scenario
downtown (transit mall etc.)
ContentsIntroductionModelingmain circuittrack profilenumerical optimizationResults of simulationsConclusion
MATHEMATICAL MODELING
Main Circuit
Electric Double Layer Capacitor (EDLC)
traction motor/inverter!"#$
!"
#$
$"!%
%internal resistance
weight: 300kgenergy density: 6.7Wh/kg
0.1[!]
40[F]
! "! #! $!
!%"!%#!%$!%&'%!'%"
!()**+,-./012
3456378*,9:46*,)*4,
654,;
*7<13,-=0.<2
tractive effort influenced by Vc
Track Conditions
short stop with quick charging
long stop with charging
running in section A
running in section B
T1 T2Ts Tt
t
Vc(t) IqcVc_max
x0m L1mT1 T2
Ts
section A section BL2m
terminal
The tramcar runs so as to minimize energy consumption.
variable
Optimal Eco-drivingu
0t
acc./dec.
t
v
T0
boundary conditions
t0
x
L
speed
!"#$%&'()(*+'"$,
$"-(
!
"#
Bellman’s Dynamic Programming (DP) is applied.
control input
speed profile
Strategy for Quick Charging
charging currentlarger currentlarger losseasier driving with higher SOC
charging time = stopping timelong charging timeshorter running time with higher SOC
RESULTS OF SIMULATIONS
time [s]
EDLC
volta
ge [V
]ve
locity
[km/
h]
Speed and Voltage Profiles
example of case AIqc=100[A]
length of sections 500[m]Ts =5,10,15,20,25 and 30 [s]
fixed conditions
Relation between Charging Time & Energy Consumption
optimal
Ts=5[s]
Ts=15[s]
time [s]
EDLC
vol
tage
[V]
case Csevere voltage drop
CONCLUSIONS
ConclusionSummaryThe rational train speed profile and quick-charging time and current can be discussed with the proposed optimization model. Future scope analyses under various conditionssystem implementation
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