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© 2025 Elsevier LtdVirtual power plant (VPP) can incorporate various electric infrastructures, e.g., data centers (DCs) and electric vehicles (EVs), creating multiple uncertainties and challenges for the operation of integrated electricity–heating system (IEHS). This paper focuses on the flexible operation problem of VPP-enabled IEHS under both static and dynamic uncertainties. First, the temporal shifting flexibility of workloads from DCs is modeled. Second, a novel metric-based distributionally robust model predictive control (DRMPC) framework is introduced to address both static uncertainties from renewable energy and dynamic uncertainties from EV charging behaviors. Third, the dynamic uncertainties are reformulated as ambiguity tubes, and distributionally robust bounds for both dynamic and static uncertainties are determined using DRMPC. Through ambiguity tubes and distributionally robust optimization, the stochastic MPC system is converted into a nominal one. Case studies validate the effectiveness of the proposed approach.
Author(s): Wang X, Li Q, Zhai J, Jiang Y, Wang S, Wang J
Publication type: Article
Publication status: Published
Journal: Applied Energy
Year: 2026
Volume: 404
Print publication date: 01/02/2026
Online publication date: 06/12/2025
Acceptance date: 25/11/2025
ISSN (print): 0306-2619
ISSN (electronic): 1872-9118
Publisher: Elsevier Ltd
URL: https://doi.org/10.1016/j.apenergy.2025.127177
DOI: 10.1016/j.apenergy.2025.127177
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