A Planning Method for Partially Grid-Connected Bus Rapid Transit Systems Operating with In-Motion Charging Batteries
Abstract
:1. Introduction
2. BEB Charging Strategies
2.1. Depot Charging
2.2. Opportunity Charging
2.3. In-Motion Changing
2.3.1. Wireless In-Motion Changing
2.3.2. Conductive In-Motion Charging
- Medium Voltage (MV) feeder: It consists of the equipment required to supply energy from the MV network to the traction substations and depot chargers.
- Traction Substation (TS): It consists of a coupling point to an MV feeder, a power transformer, and an AC/DC converter. It could be used to feed a catenary section and to supply energy to depot scheme to charge the battery buses trough an alternative connector. The cost of TS can be assumed as a function of the power capacity in USD/kW. If a design class VI is assumed for this element, according to standard UNE EN 50328:2004 [20], the equipment is be able to withstand an overload of 3 p.u. during 60 s, 1.5 p.u. for 2 h, and 1.0 continually.
- Catenary segment: It includes the set of elements and equipment of the overhead line such as poles, insulators, mechanical supports, and related accessories. Its cost is almost independent of the feeding power, and it is considered only proportional to the length in USD/km.
- Depot Charger: It consists of a power converter for BEB charging with DC current. Its cost is related to the charger power.
- On-board battery: It is the battery installed on-board the buses, and its cost is related to the energy capacity in USD/kWh, and the chemistry, i.e., LFP, NMC, or LTO.
3. Vehicle Technology Effect in BRT Operation
4. IMC Planning Model
- Objective function: it consists of minimizing the total investment costs, and considers the costs associated to overhead line segments, batteries, traction substations and depot chargers:
- Line segment electrification and traction substation constraints: the following equations determine the installation of electrified segments between bus stops and the location of traction substations to feed the required overhead line segments [13]:
- Bus energy constraints: the following equations describe the energy consumption or storage for each bus. The energy demand D for each bus can be determined through measurements, as in this paper, or transport simulations using vehicle dynamic models and route data (e.g., [13]):
- Battery state-of-charge (SoC) constraints: the following equations determine the initial State-of-charge (SoC) and constraint the energy consumption and storage to the minimum and maximum SoC, according to battery’s capacity:
- Depot Charging Power: The following constraint computes the total required power to charge the bus fleet at the end of the operation day to guarantee a high SoC level at the beginning of next day:
5. Study Case: Medellin’s Metro Bus Line 1
- An average daily range of 240 km is low for most of intensive BRT schemes, being 300 km or higher the most common requirement.
- Average energy consumption of 1.5 kWh/km does not include air conditioning, which is increasingly reclaimed by the public and would be needed more as average temperature increases due to climate change. Additionally, heating is a sensible bus feature in extreme weather countries, and increases the energy consumption of the bus, reducing operational range.
- In many cities as Medellin, where events like pollution emergencies occur, the bus fleet is required to operate at maximum capacity, it becomes difficult to stop a bus for battery charging, and almost all day the operation schedule behaves like peak period.
- Despite many manufacturers define a ratio of buses to chargers of 4, this criteria has proven to be unrealistic when intensive use of the fleet is required.
6. Results and Discussion
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
b | Bus index |
l | Trip index |
s | Station index |
Total travel time per segment (h) | |
Depot charging efficiency (p.u.) | |
Efficiency of in-motion charging (p.u.) | |
Unitary cost of battery (USD/kWh) | |
Unitary cost of overhead line (USD/km) | |
Unitary cost of depot charger (USD/kW) | |
Unitary cost of feeding substation (USD) | |
D | Bus energy consumption (kWh) |
L | Length of route segment between passenger stations (km) |
NB | Total number of buses |
NL | Total number of bus trips |
Ns | Total number of stations |
In-motion charging power (kW) | |
Initial battery state-of-charge (p.u.) | |
Maximum battery state-of-charge (p.u.) | |
Minimum battery state-of-charge (p.u.) | |
Depot charging time (h) | |
Battery capacity of bus b (kWh) | |
E | Total bus energy (kWh) |
x | Binary variable for installing overhead line between stations (1 = Install, 0 = Do not install) |
y | Binary variable for installing traction substation in a passenger station (1 = Install, 0 = Do not install) |
Acronyms | |
BEB | Battery Electric Bus |
BRT | Bus Rapid Transit |
CNG | Compressed Natural Gas |
EV | Electric Vehicle |
GCS | Grid-connected System |
IEA | International Energy Agency |
IMC | In-motion Charging |
LFP | Lithium Ferrophosphate |
Li-ion | Lithium-ion |
LTO | Lithium-titanate |
NMC | Nickel-Managanese-Cobalt |
MV | Medium Voltage |
NPV | Net Present Value |
OC | Opportunity Charging |
SoC | State-of-charge |
SoH | State-of-health |
TS | Traction Substation |
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Bus Technology | Energy Consumption (kWh/km) | GHG Emissions (kgCO2/km) | Energy Cost (USD/km) | Comments |
---|---|---|---|---|
Diesel | 6.56 | 1.70 | 0.402 | From average diesel consumption in Transmilenio BRT (6.20 km/gL), Bogotá. Emissions from tailpipe [31] |
CNG | 8.75 | 1.76 | 0.370 | From average CNG consumption in Metroplus BRT, Medellín (1.2 km/m3). Emissions from tailpipe [32]. |
BEB | 1.34 | 0.28 | 0.191 | From average consumption in Metroplus BRT, Medellín. Emissions from electric grid [32]. |
Bus Parameter | Value | Comments |
---|---|---|
Length (m) | 18 | Articulated bus |
Width (m) | 2.55 | |
Heigth (m) | 3.26 | |
Seats | 33 | |
Passengers | 160 | |
Empty weight (kg) | 19,120 | Measured 19,770 kg |
Maximum weigth (kg) | 30,000 | |
Battery capacity (kWh) | 450 | |
Power (KW) | 360 | 2 × 180 kW Permanent magnet synchronous motor |
Battery Chemistry | LFP |
Battery and Charger Information | Value | Comments |
---|---|---|
Number of parallel modules | 2 | |
Voltage per module (V) | 736 | |
Current capacity per module (Ah) | 300 | |
Module energy capacity (kWh) | 220.8 | |
Battery energy capacity (kWh) | 441.6 | 450 kWh according to manufacturer |
Cells per module | 230 | |
Nominal cell voltage (V) | 3.2 | |
Charging power (kW) | 200 | 2 × 100 kW plugs, 480 Vac |
Measured charging power (kW) | 154.32 kW | |
Measured charging time (h) | 2.58 | From 10% SoC |
Parameter | Value |
---|---|
Number of buses (NB) | 30 |
Number of station (NS) | 39 |
Number of bus trips (NL) | 11 |
Minimum SoC () | 0.3 |
Maximum SoC () | 0.9 |
Initial SoC () | 0.8 |
IMC efficiency () | 1 |
Depot charging efficiency () | 1 |
Depot charging time () | 4 h |
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Díez, A.E.; Restrepo, M. A Planning Method for Partially Grid-Connected Bus Rapid Transit Systems Operating with In-Motion Charging Batteries. Energies 2021, 14, 2550. https://doi.org/10.3390/en14092550
Díez AE, Restrepo M. A Planning Method for Partially Grid-Connected Bus Rapid Transit Systems Operating with In-Motion Charging Batteries. Energies. 2021; 14(9):2550. https://doi.org/10.3390/en14092550
Chicago/Turabian StyleDíez, Andrés E., and Mauricio Restrepo. 2021. "A Planning Method for Partially Grid-Connected Bus Rapid Transit Systems Operating with In-Motion Charging Batteries" Energies 14, no. 9: 2550. https://doi.org/10.3390/en14092550