Multi-station smart charging in Vietnam: a quadratic-programming approach under the 2025 retail-tariff revision
DOI:
https://doi.org/10.56764/hpu2.jos.2026.5.02.41-55Abstract
We formulate day-ahead smart charging of an electric-vehicle fleet across multiple public charging stations in Vietnam as a convex quadratic program. The objective combines time-of-use tariff cost, quadratic peak-shaving, and ramp-smoothing; the constraints enforce per-EV connection-window bounds, per-EV energy delivery, per-station transformer caps, and feeder-level caps where stations share a primary distribution feeder. Station connector-mix and rate caps are drawn from OpenChargeMap and co-located PV from NASA POWER; arrival traces are transplanted from the real Shenzhen UrbanEV benchmark and recalibrated to the 2024–2025 VinFast fleet. The tariff reflects the 2025 retail-tariff restructuring (Decision 14/2025/QD-TTg). Across five seeds: F1, single-station Smart charging at α=0 cuts tariff cost 21.6% over uncontrolled charging, trading down to about 10% for a two-thirds peak-power reduction at higher peak-shaving weights; F2, on a 500-EV five-station feeder at the binding 1 MW cap the decentralised baselines are feasible in only 3 of 5 seeds while the coordinated solver stays feasible in all 5, at a 0.3–0.9% cost edge; F3, the 2025 flat-midday bracket cuts cost 14.7%; F4, OSQP solves the 500-EV instance in about 2 s. The study is a reproducible proof of concept for Vietnamese multi-station smart charging.
References
[1] Prime Minister of Vietnam, Decision 768/QD-TTg approving the revised power development plan VIII, Decision 768/QD-TTg of 15 Apr. 2025; 2025.
[2] Prime Minister of Vietnam, Decision 14/2025/QD-TTg on the retail electricity tariff structure, Decision 14/2025/QD-TTg of 29 May. 2025; 2025.
[3] S. Sojoudi, S. H. Low, “Optimal charging of plug-in hybrid electric vehicles in smart grids,” In: Proceedings of the IEEE PES general meeting, Jul. 2011, doi:10.1109/PES.2011.6039236.
[4] L. Gan, U. Topcu, S. H. Low, “Optimal decentralized protocol for electric vehicle charging,” IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 940–951, May. 2013, doi:10.1109/TPWRS.2012.2210288.
[5] K. Knezović, A. Soroudi, A. Keane, M. Marinelli, “Centralised coordination of EVs charging and PV active power curtailment over multiple aggregators in low voltage networks,” Sustainable Energy, Grids and Networks, 2021, doi:10.1016/j.segan.2021.100503.
[6] Emily van Huffelen, Roel Brouwer, Marjan van den Akker, “Grid-constrained online scheduling of flexible electric vehicle charging,” Energies, 2025;18[19]:5063, doi:10.3390/en18195063.
[7] Hongxin Liu, Aiping Pang, Jie Yin, Haixia Yi, Huqun Mu, “Collaborative optimization scheduling strategy for electric vehicle charging stations considering spatiotemporal distribution of different power charging demands,” World Electric Vehicle Journal, vol. 16, no. 3, p. 176, Mar. 2025;16[3]:176, doi:10.3390/wevj16030176.
[8] Xiang Liao, Ziyu Zheng, Beibei Qian, Haiwei Wang, Dianling Zhan, Junyi Shi, Chaoshun Li, Wei Huang, “Coordinated multi-objective optimization scheduling for electric vehicle swapping station cluster and grid,” iScience, vol. 28, no. 5, p. 112444, May. 2025, doi:10.1016/j.isci.2025.112444.
[9] Truc Quynh Vu, Hien Minh Ha, Tuan Hai Vu, Electric vehicle charging stations placement optimization in Vietnam using mixed-integer nonlinear programming model [Internet], arXiv:2412.16025; 2024, Available from: https://arxiv.org/abs/2412.16025.
[10] B. K. L. Do, T. H. Nguyen, N. H. Quang, D. Nguyen-Ngoc, L. El Ghaoui, “A digital twin framework for decision-support and optimization of EV charging infrastructure in localized urban systems,” Computers, Environment and Urban Systems, vol. 127, p. 102422, Jul. 2026, doi: 10.1016/j.compenvurbsys.2026.102422.
[11] P. V. Minh, S. Le Quang, M.-H. Pham, “Technical economic analysis of photovoltaic-powered electric vehicle charging stations under different solar irradiation conditions in Vietnam,” Sustainability, vol. 13, no. 6, p. 3528, Mar. 2021, doi: 10.3390/su13063528.
[12] T. V. Minh, T. D. T. Kieu, G. V. Pha, T. H. Viet, K. T. Trung, D. V. Ngoc, “Optimal charging scheduling for electric vehicle charging stations with renewable energy integration,” Proceedings in Technology Transfer, pp. 174–187, Oct. 2025, doi: 10.1007/978-981-95-1750-3_20.
[13] A. Nguyen, H. Pham, C. Do, “A Cost-Optimization Model for EV Charging Stations Utilizing Solar Energy and Variable Pricing,” Energies, vol. 18, no. 20, p. 5416, Oct. 2025, doi: 10.3390/en18205416.
[14] OpenChargeMap. Open charge map API. https://openchargemap.io/site/develop/api.
[15] K.-T. Dinh Thi, “Quadratic programming and quadratically constrained quadratic programming: theory, algorithms, and applications,” HPU2 Journal of Science: Natural Sciences and Technology, vol. 4, no. 03, pp. 80–96, Dec. 2025, doi: 10.56764/hpu2.jos.2025.4.03.80-96.
[16] H. Li, H. Qu, X. Tan, L. You, R. Zhu, and W. Fan, “UrbanEV: An Open Benchmark Dataset for Urban Electric Vehicle Charging Demand Prediction,” Scientific Data, vol. 12, no. 1, Mar. 2025, doi: 10.1038/s41597-025-04874-4.
[17] J. Frédéric Bonnans, A. Shapiro, “Perturbation Analysis of Optimization Problems,” Springer Nature, 2000. doi: 10.1007/978-1-4612-1394-9.
[18] B. Stellato, G. Banjac, P. Goulart, A. Bemporad, and S. Boyd, “OSQP: an operator splitting solver for quadratic programs,” Mathematical Programming Computation, vol. 12, no. 4, pp. 637–672, Feb. 2020, doi: 10.1007/s12532-020-00179-2.
[19] S. Boyd, “Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers,” Foundations and Trends® in Machine Learning, vol. 3, no. 1, pp. 1–122, 2010, doi: 10.1561/2200000016.
20] A. Domahidi, E. Chu, and S. Boyd, “ECOS: An SOCP solver for embedded systems,” Jul. 2013, doi: 10.23919/ecc.2013.6669541.
[21] J. Nocedal, S. J. Wright, “Numerical Optimization,” Springer New York, 2006. doi: 10.1007/978-0-387-40065-5.
[22] B. O’Donoghue, E. Chu, N. Parikh, and S. Boyd, “Conic Optimization via Operator Splitting and Homogeneous Self-Dual Embedding,” Journal of Optimization Theory and Applications, vol. 169, no. 3, pp. 1042–1068, Feb. 2016, doi: 10.1007/s10957-016-0892-3.
[23] R. T. Rockafellar and S. Uryasev, “Optimization of conditional value-at-risk,” The Journal of Risk, vol. 2, no. 3, pp. 21–41, 2000, doi: 10.21314/JOR.2000.038.
[24] S. Boyd, L. Vandenberghe, Convex optimization, Cambridge University Press; 2004, doi: doi: 10.1017/CBO9780511804441.
Downloads
Published
How to Cite
Volume and Issue
Section
Copyright and License
Copyright (c) 2026 Kim-Thuy Dinh Thi

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.





