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Article

Data-Driven Distributionally Robust Collaborative Optimization Operation Strategy for Multi-Integrated Energy Systems Considers Energy Trading

1
National Key Laboratory of Automotive Chassis Integration and Bionics, Jilin University, Changchun 130022, China
2
College of Automotive Engineering, Jilin University, Changchun 130022, China
3
School of Engineering), RMIT University, Melbourne, VIC 3000, Australia
*
Author to whom correspondence should be addressed.
Sustainability 2025, 17(24), 11377; https://doi.org/10.3390/su172411377
Submission received: 20 November 2025 / Revised: 10 December 2025 / Accepted: 17 December 2025 / Published: 18 December 2025
(This article belongs to the Section Energy Sustainability)

Abstract

The strong uncertainty of renewable energy poses significant reliability and safety challenges for the coordinated operation of multi-integrated energy systems (MIES). To address this, a data-driven two-stage distributed robust collaborative optimization scheduling model for MIES is proposed, based on a spatiotemporal fusion conditional diffusion model (STF-CDM). First, to more accurately capture the uncertainty in renewable energy output, the model utilizes a scenario set generated by the STF-CDM model and reduced via the K-means clustering algorithm as the initial renewable energy scenarios for the distributed robust optimization set. The STF-CDM model employs a Temporal module component (TMC) unit composed of Transformer time-series modules and a Spatial module component (SMC) unit composed of CNN neural networks for feature extraction and fusion of time-series and spatial-series data. Second, a benefit allocation method based on multi-energy trading contribution rates is proposed to achieve equitable distribution of cooperative gains. Finally, to protect participant privacy and enhance computational efficiency, an alternating direction multiplier method (ADMM) coupled with parallelizable column and constraint generation (C&CG) is employed to solve the energy trading problem. The case analysis results demonstrate that the STF-CDM model proposed in this study exhibits superior performance in addressing the uncertainty of renewable energy output. Concurrently, the asymmetric Nash game mechanism and the ADMM-C&CG solution algorithm proposed in this study achieve a fair and reasonable distribution of benefits among all participants when handling energy transactions and cooperative gains. This is accomplished while ensuring system robustness, economic efficiency, and privacy.
Keywords: multi-integrated energy systems; conditional diffusion model; spatiotemporal fusion; distributionally robust optimization; cooperative benefits; energy trading multi-integrated energy systems; conditional diffusion model; spatiotemporal fusion; distributionally robust optimization; cooperative benefits; energy trading

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MDPI and ACS Style

Sun, W.; Jiang, N.; Wang, T.; Ma, S.; Jin, Y.; Alam, F. Data-Driven Distributionally Robust Collaborative Optimization Operation Strategy for Multi-Integrated Energy Systems Considers Energy Trading. Sustainability 2025, 17, 11377. https://doi.org/10.3390/su172411377

AMA Style

Sun W, Jiang N, Wang T, Ma S, Jin Y, Alam F. Data-Driven Distributionally Robust Collaborative Optimization Operation Strategy for Multi-Integrated Energy Systems Considers Energy Trading. Sustainability. 2025; 17(24):11377. https://doi.org/10.3390/su172411377

Chicago/Turabian Style

Sun, Wenyuan, Nan Jiang, Tianqi Wang, Shuailing Ma, Yingai Jin, and Firoz Alam. 2025. "Data-Driven Distributionally Robust Collaborative Optimization Operation Strategy for Multi-Integrated Energy Systems Considers Energy Trading" Sustainability 17, no. 24: 11377. https://doi.org/10.3390/su172411377

APA Style

Sun, W., Jiang, N., Wang, T., Ma, S., Jin, Y., & Alam, F. (2025). Data-Driven Distributionally Robust Collaborative Optimization Operation Strategy for Multi-Integrated Energy Systems Considers Energy Trading. Sustainability, 17(24), 11377. https://doi.org/10.3390/su172411377

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