# Optimal Capacity Model for Battery Swapping Station of Electric Taxis: A Case Study in Chengdu

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## Abstract

**:**

## 1. Introduction

## 2. Operation Analysis of a BSS

#### 2.1. Data Mining of Taxi Operation

#### 2.2. Operation Analysis of a BSS

**Pattern I**: Electric taxis run all day

**Pattern II**: Not all electric taxis operate all day

#### 2.3. Operation Analysis of a BSS

## 3. Capacity Optimization for a BSS

## 4. Case Study

**A. The results considering the penalty cost of the BSS**

**B. The results without considering the penalty cost of the BSS**

## 5. Conclusions

## Author Contributions

## Funding

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

- Sukkrajang, K.; Duangsoithong, R.; Chalermyannont, K. Trade Distance and Price Model for Electric Vehicle Charging Using Blockchain-Based Technology. In Proceedings of the 2021 18th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), Chiang Mai, Thailand, 19–22 May 2021; IEEE: Chiang Mai, Thailand, 2021; pp. 964–967. [Google Scholar] [CrossRef]
- Zeng, L.; Chen, S.-Z.; Tang, Z.; Tian, L.; Xiong, T. An Electric Vehicle Charging Method Considering Multiple Power Exchange Modes’ Coordination. Sustainability
**2023**, 15, 10520. [Google Scholar] [CrossRef] - Zhang, F.; Liu, K.; Qin, X.; Li, Y.; Liu, H.; Cheng, X. Annual Report on Electric Vehicle Charging Infrastructure Development in China 2016-2017; China Electric Vehicle Charging Infrastructure Promotion Alliance (EVCIPA): Beijing, China, 2020. Available online: https://www.nea.gov.cn/136376732_14978397401671n.pdf (accessed on 16 November 2023).
- Sandhya, P.; Nisha, G.K. Review of Battery Charging Methods for Electric Vehicle. In Proceedings of the 2022 IEEE International Conference on Signal Processing, Informatics, Communication and Energy Systems (SPICES), Thiruvananthapuram, India, 10–12 March 2022; IEEE: Thiruvananthapuram, India, 2022; pp. 395–400. [Google Scholar] [CrossRef]
- Rajkumar, S.; Nagaveni, P.; Amudha, A.; Siva Ramkumar, M.; Emayavaramban, G.; Selvaganapathy, T. Optimizing EV Charging in Battery Swapping Stations with CSO-PSO Hybrid Algorithm. In Proceedings of the 2023 8th International Conference on Communication and Electronics Systems (ICCES), Coimbatore, India, 1–3 June 2023; IEEE: Coimbatore, India, 2023; pp. 1566–1571. [Google Scholar] [CrossRef]
- Sarker, M.; Pandzic, H.; Ortega-Vazquez, M. Optimal Operation and Services Scheduling for an Electric Vehicle Battery Swapping Station. In Proceedings of the 2015 IEEE Power & Energy Society General Meeting, Denver, CO, USA, 26–30 July 2015; IEEE: Denver, CO, USA, 2015; pp. 901–910. [Google Scholar] [CrossRef]
- Worley, O.; Klabjan, D. Optimization of Battery Charging and Purchasing at Electric Vehicle Battery Swap Stations. In Proceedings of the 2011 IEEE Vehicle Power and Propulsion Conference, Chicago, IL, USA, 6–9 September 2011; IEEE: Chicago, IL, USA, 2011; pp. 1–4. [Google Scholar] [CrossRef]
- Yang, H.; Guo, C.; Ren, J.; Sheng, J. A Coordinated Charging Strategy on Battery Swapping Station in Microgrid Considering Battery to Grid. In Proceedings of the 2019 IEEE Innovative Smart Grid Technologies-Asia (ISGT Asia), Chengdu, China, 21–24 May 2019; IEEE: Chengdu, China, 2019; pp. 3322–3326. [Google Scholar] [CrossRef]
- Wang, Y.; Ding, W.; Huang, L.; Wei, Z.; Liu, H.; Stankovic, J.A. Toward Urban Electric Taxi Systems in Smart Cities: The Battery Swapping Challenge. IEEE Trans. Veh. Technol.
**2018**, 67, 1946–1960. [Google Scholar] [CrossRef] - Dai, Q.; Cai, T.; Duan, S.; Zhao, F. Stochastic Modeling and Forecasting of Load Demand for Electric Bus Battery-Swap Station. IEEE Trans. Power Deliv.
**2014**, 29, 1909–1917. [Google Scholar] [CrossRef] - Tan, X.; Qu, G.; Sun, B.; Li, N.; Tsang, D.H.K. Optimal Scheduling of Battery Charging Station Serving Electric Vehicles Based on Battery Swapping. IEEE Trans. Smart Grid
**2019**, 10, 1372–1384. [Google Scholar] [CrossRef] - Liang, Y.; Zhang, X. Battery Swap Pricing and Charging Strategy for Electric Taxis in China. Energy
**2018**, 147, 561–577. [Google Scholar] [CrossRef] - Azeem, F.; Irshad, B.; Zidan, H.A.; Narejo, G.B.; Hussain, M.I.; Manzoor, T. Design and Analysis of a Peak Time Estimation Framework for Vehicle Occurrences at Solar Photovoltaic and Grid-Based Battery-Swappable Charging Stations. Sustainability
**2023**, 15, 16153. [Google Scholar] [CrossRef] - Zhang, T.; Chen, X.; Yu, Z.; Zhu, X.; Shi, D. A Monte Carlo Simulation Approach to Evaluate Service Capacities of EV Charging and Battery Swapping Stations. IEEE Trans. Ind. Inform.
**2018**, 14, 3914–3923. [Google Scholar] [CrossRef] - You, P.; Yang, Z.; Zhang, Y.; Low, S.H.; Sun, Y. Optimal Charging Schedule for a Battery Switching Station Serving Electric Buses. IEEE Trans. Power Syst.
**2016**, 31, 3473–3483. [Google Scholar] [CrossRef] - Gao, Y.-J.; Zhao, K.-X.; Wang, C. Economic Dispatch Containing Wind Power and Electric Vehicle Battery Swap Station. In Proceedings of the PES Transmission and Distribution Conference and Exposition 2012, Orlando, FL, USA, 7–10 May 2012; IEEE: Orlando, FL, USA, 2012; pp. 1–7. [Google Scholar] [CrossRef]
- Wang, H.; Huang, H.; Ni, X.; Zeng, W. Revealing Spatial-Temporal Characteristics and Patterns of Urban Travel: A Large-Scale Analysis and Visualization Study with Taxi GPS Data. ISPRS Int. J. Geo-Inf.
**2019**, 8, 257. [Google Scholar] [CrossRef] - Adegbohun, F.; Von Jouanne, A.; Lee, K. Autonomous Battery Swapping System and Methodologies of Electric Vehicles. Energies
**2019**, 12, 667. [Google Scholar] [CrossRef] - Amiri, S.S.; Jadid, S.; Saboori, H. Multi-Objective Optimum Charging Management of Electric Vehicles through Battery Swapping Stations. Energy
**2018**, 165, 549–562. [Google Scholar] [CrossRef] - Lorenz, E.; Hurka, J.; Heinemann, D.; Beyer, H.G. Irradiance Forecasting for the Power Prediction of Grid-Connected Photovoltaic Systems. IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens.
**2009**, 2, 2–10. [Google Scholar] [CrossRef] - Alhijawi, B.; Awajan, A. Genetic Algorithms: Theory, Genetic Operators, Solutions, and Applications. Evol. Intell.
**2023**. [Google Scholar] [CrossRef] - Guzman Razo, D.E.; Müller, B.; Madsen, H.; Wittwer, C. A Genetic Algorithm Approach as a Self-Learning and Optimization Tool for PV Power Simulation and Digital Twinning. Energies
**2020**, 13, 6712. [Google Scholar] [CrossRef]

**Figure 7.**The comparison of battery usage and charging power of the BSS between two battery inventory scales.

200 ETs | 400 ETs | 600 ETs | 800 ETs | 1000 ETs | |
---|---|---|---|---|---|

Total demand | 420 | 829 | 1236 | 1646 | 2052 |

Average demand | 18 | 35 | 52 | 69 | 86 |

Timeline | 200 ETs | 400 ETs | 600 ETs | 800 ETs | 1000 ETs |
---|---|---|---|---|---|

Total demand | 336 | 664 | 990 | 1315 | 1640 |

Average demand | 14 | 28 | 42 | 55 | 69 |

Parameter | Value |
---|---|

Number of Populations | 20–100 |

Number of Iterations | 100–500 |

Possibility of Crossover | 0.4–0.99 |

Possibility of Mutation | 0.0001–0.1 |

Pattern I | Pattern II | |||
---|---|---|---|---|

The Number of ETs | The Optimal Capacity of BSS | Profits of BSS (Thousand USD) | The Optimal Capacity of BSS | Profits of BSS (Thousand USD) |

200 | 29 | 887.1 | 33 | 208.6 |

400 | 57 | 1843.7 | 64 | 432.3 |

600 | 86 | 2539.7 | 96 | 592.1 |

800 | 115 | 3368.0 | 130 | 720.8 |

1000 | 141 | 4222.1 | 160 | 924.0 |

The Number of ETs | Pattern I | Pattern II |
---|---|---|

200 | 100% | 100% |

400 | 100% | 100% |

600 | 100% | 100% |

800 | 100% | 100% |

1000 | 100% | 100% |

Pattern I | Pattern II | |||
---|---|---|---|---|

The Number of ETs | The Optimal Capacity of BSS | Profits of BSS (Thousand USD) | The Optimal Capacity of BSS | Profits of BSS (Thousand USD) |

200 | 27 | 822.8 | 30 | 159 |

400 | 53 | 1495.8 | 60 | 367.4 |

600 | 79 | 2178 | 90 | 468.2 |

800 | 105 | 2827.4 | 121 | 582.4 |

1000 | 131 | 3624.6 | 151 | 658.6 |

ETs Numbers | 200 | 400 | 600 | 800 | 1000 |
---|---|---|---|---|---|

Pattern I | 94.29% | 94.45% | 94.58% | 93.39% | 94.54% |

Pattern II | 92.56% | 94.57% | 94.74% | 94.52% | 94.70% |

Pattern I | Pattern II | |||
---|---|---|---|---|

ET Numbers | Difference in Battery Number | Difference in Profits (Thousand USD) | Difference in Battery Number | Difference in Profits (Thousand USD) |

200 | 2 | 64.7 | 3 | 50.6 |

400 | 4 | 232.2 | 4 | 64.7 |

600 | 7 | 361.7 | 6 | 123.9 |

800 | 10 | 540.7 | 9 | 137.5 |

1000 | 10 | 597.6 | 9 | 265.4 |

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**MDPI and ACS Style**

Xie, S.; Wang, G.; Zhang, Y.; Li, B.; Zhao, J.
Optimal Capacity Model for Battery Swapping Station of Electric Taxis: A Case Study in Chengdu. *Sustainability* **2024**, *16*, 1676.
https://doi.org/10.3390/su16041676

**AMA Style**

Xie S, Wang G, Zhang Y, Li B, Zhao J.
Optimal Capacity Model for Battery Swapping Station of Electric Taxis: A Case Study in Chengdu. *Sustainability*. 2024; 16(4):1676.
https://doi.org/10.3390/su16041676

**Chicago/Turabian Style**

Xie, Siyu, Guangyan Wang, Yiyi Zhang, Bo Li, and Junhui Zhao.
2024. "Optimal Capacity Model for Battery Swapping Station of Electric Taxis: A Case Study in Chengdu" *Sustainability* 16, no. 4: 1676.
https://doi.org/10.3390/su16041676