Paper 14 · Building Simulation 2025

Day-ahead energy management of a smart building energy system aggregated with electrical vehicles based on distributionally robust optimization

The work links building thermal flexibility, EV aggregation, market interaction, and distributionally robust optimization.

Smart building energy system connecting buildings, electric vehicles, solar PV, thermal systems, and energy networks.
Figure 1. Architecture of a smart building energy system integrating electric loads, EVs, PV, thermal equipment, and external grids.
Figure excerpt from Zhao et al. (2025), Building Simulation. DOI 10.1007/s12273-024-1219-1
Source-attributed paper figure

Bibliographic information

Authors: Zhao, Bingxu; Cao, Xiaodong; Zhang, Shicong; Ren, Jianlin; Li, Jiayu

Journal: Building Simulation, 2025, volume 18, issue 2, pages 339–352

DOI: 10.1007/s12273-024-1219-1

building energy systemelectric vehiclescarbon tradingdistributionally robust optimization

Original abstract

With the adjustment of the energy structure and the rapid development of commercial complex buildings, building energy systems (BES) are playing an increasingly important role. To fully utilize smart building management techniques for coordinating and optimizing energy systems while limiting carbon emissions, this study proposes a smart building energy scheduling method based on distributionally robust optimization (DRO). First, a framework for day-ahead market interaction between the distribution grid (DG), buildings, and electric vehicles (EVs) is established. Based on the the price elasticity matrix principle, demand side management (DSM) technology is used to model the price-based demand response (PBDR) of building electricity load. Meanwhile, the thermal inertia and thermal load flexibility of the building heating system are utilized to leverage the energy storage capabilities of the heating system. Second, a Wasserstein DRO Stackelberg game model is constructed with the objective of maximizing the benefits for both buildings and EVs. This Wasserstein distributionally robust model is then transformed into a mixed-integer model by combining the Karush-Kuhn-Tucker (KKT) conditions and duality theory. Finally, the optimization effect of temperature load storage characteristics on BES flexible scheduling and the coordination of DRO indicators on the optimization results were verified through simulations. The strategy proposed in this article can reduce the total operating cost of BES by 26.37%, significantly enhancing economic efficiency and achieving electricity and heat substitution, resulting in a smoother load curve. This study provides a theoretical foundation and assurance for optimal daily energy scheduling of BES.

Research problem

Day-ahead scheduling of buildings and EVs must manage demand response, thermal inertia, uncertainty, and carbon-related objectives.

Method

The study formulates price-based demand response and thermal storage, then solves a Wasserstein distributionally robust Stackelberg game through KKT and duality transformations.

Reported evidence

The proposed strategy reduces total building-energy-system operating cost by 26.37% in the reported simulations and smooths the load curve.

Why this paper matters

The work links building thermal flexibility, EV aggregation, market interaction, and distributionally robust optimization.

Research questions this paper can support

  • How can smart buildings coordinate day-ahead operation with EVs?
  • How is Wasserstein distributionally robust optimization used in building energy systems?
  • What role does thermal inertia play in demand response scheduling?

Reference

Zhao, Bingxu; Cao, Xiaodong; Zhang, Shicong; Ren, Jianlin; Li, Jiayu. Day-ahead energy management of a smart building energy system aggregated with electrical vehicles based on distributionally robust optimization. Building Simulation , 2025, 18, 339–352. https://doi.org/10.1007/s12273-024-1219-1

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