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Article

V2G System Optimization for Photovoltaic and Wind Energy Utilization: Bilevel Programming with Dual Incentives of Real-Time Pricing and Carbon Quotas

1
Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai’an 223003, China
2
Department of Mathematics, Aviation University of Air Force, Changchun 130022, China
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(1), 114; https://doi.org/10.3390/math14010114 (registering DOI)
Submission received: 30 November 2025 / Revised: 20 December 2025 / Accepted: 27 December 2025 / Published: 28 December 2025
(This article belongs to the Special Issue Applied Machine Learning and Soft Computing)

Abstract

Considering the global objective of carbon emission reduction, this paper focuses on optimizing the operational efficiency of grid-connected electric vehicles (EVs) and promoting sustainable energy integration and thus proposes a novel dual-incentive mechanism combining real-time pricing (RTP) and carbon quotas. A core of this study is the development of a bilevel programming model that effectively captures the strategic interaction between power suppliers (PS) and microgrid (MG) users. At the upper level, the model enables the PS to optimize electricity prices, achieving both revenue maximization and grid balance maintenance; at the lower level, it supports MGs in rational scheduling of EV charging/discharging, photovoltaic and wind energy (PWE) utilization, and load consumption, ensuring the fulfillment of user demands while maximizing MG profits. To address the non-convex factors in the model that hinder an efficient solution, another key is the design of a bilevel distributed genetic algorithm, which realizes efficient decentralized decision making and provides technical support for the practical application of the model. Through comprehensive simulations, the study verifies significant quantitative outcomes. The proposed algorithm converges after only 61 iterations, ensuring efficient solution performance. The average purchase price of electricity from the PS for the MG is USD 1.1, while the selling price of PWE sources from MG for the PS is USD 0.6. This effectively promotes the MG to prioritize the consumption of PWE sources and encourages the PS to repurchase the electricity generated by PWE sources. On average, carbon emissions decreased by approximately 300 g each time slot, and the average amount of carbon trading was around USD 8. Ultimately, this research delivers a practical and impactful solution for the development of MGs and the advancement of carbon reduction goals.
Keywords: bilevel programming; electric vehicle; real-time pricing; carbon quota; distributed algorithm bilevel programming; electric vehicle; real-time pricing; carbon quota; distributed algorithm

Share and Cite

MDPI and ACS Style

Cui, J.; Feng, X.; Zhu, H.; Wang, Z. V2G System Optimization for Photovoltaic and Wind Energy Utilization: Bilevel Programming with Dual Incentives of Real-Time Pricing and Carbon Quotas. Mathematics 2026, 14, 114. https://doi.org/10.3390/math14010114

AMA Style

Cui J, Feng X, Zhu H, Wang Z. V2G System Optimization for Photovoltaic and Wind Energy Utilization: Bilevel Programming with Dual Incentives of Real-Time Pricing and Carbon Quotas. Mathematics. 2026; 14(1):114. https://doi.org/10.3390/math14010114

Chicago/Turabian Style

Cui, Junfeng, Xue Feng, Hongbo Zhu, and Zongyao Wang. 2026. "V2G System Optimization for Photovoltaic and Wind Energy Utilization: Bilevel Programming with Dual Incentives of Real-Time Pricing and Carbon Quotas" Mathematics 14, no. 1: 114. https://doi.org/10.3390/math14010114

APA Style

Cui, J., Feng, X., Zhu, H., & Wang, Z. (2026). V2G System Optimization for Photovoltaic and Wind Energy Utilization: Bilevel Programming with Dual Incentives of Real-Time Pricing and Carbon Quotas. Mathematics, 14(1), 114. https://doi.org/10.3390/math14010114

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