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Sustainable Energy Systems Through Fair Carbon Pricing: A Shapley Value-Based Optimization Framework

Year: 2025
Type: article
Abstract: Sustainable energy systems necessitate an equitable distribution of carbon burdens among stakeholders. This paper proposes a Shapley value-based carbon pricing mechanism embedded in a dual-layer Stackelberg framework, where the upper layer optimizes generation schedules and carbon prices, while the lower layer coordinates demand response strategies. The approach introduces several key innovations, including a Shapley allocation method that enhances fairness (achieving a Jain index of 0.94 compared to 0.78 in baselines), multi-dimensional dynamic pricing, and an improved ADMM algorithm that reduces computational demands by 34.2%. Validation on the IEEE 33-node test system yields a 27.5% reduction in operational costs (from USD 1.952 M to 1.415 M), a 17.8% decrease in emissions, and 97.8% integration of renewable energy sources. Overall, this framework promotes the transition to sustainable energy systems while upholding principles of equity.
Authors: Jiyong Li, Huang Hao, Xiaoping Xiong, Jiajia Chai, Hanzhong Cui, Haoyuan Li, Zhiliang Cheng, Chen Ye
Language: English
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4416138395
FWCI: 0.462
Cites: 59
Cited by: 2
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