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利用时间因果状态变量聚合实现大规模空调的实时调度

Leveraging Time-Causal State Variable Aggregation for Real-Time Schedule of Massive Air Conditioners

Jingguan Liu, Xiaomeng Ai, Shichang Cui, Xizhen Xue, Shengshi Wang, Jiakun Fang, Jinyu Wen, Yang Shi

arXiv 2609.02410首次发表:更新:

发表机构

Huazhong University of Science and Technology; Nanyang Technological University(华中科技大学; 南洋理工大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

针对大规模空调实时调度的时间耦合与因果不确定性问题,本文提出TCA-ADP算法,通过时间因果状态变量聚合平衡效率与经济性,实现空调近优实时调度并验证了其有效性。

AI 中文摘要

空调(AC)负荷为主动配电网管理不确定性(如可再生能源发电、电价及负荷需求的不确定性)提供了极具潜力的灵活性。然而,由于空调存在大规模时间耦合约束和时间因果不确定性,其实时调度颇具挑战。为解决该问题,本文提出一种新颖的基于时间因果聚合的近似动态规划(TCA-ADP)算法以实现高效调度。首先分析状态变量聚合的时间因果要求,使其与实时序贯决策过程相匹配;随后开发增强型聚合模型,确保聚合兼具高精度与时间因果性;进一步将聚合过程重构为线性规划,以优化聚合参数并实现可处理计算。据此,TCA-ADP利用聚合后的状态变量以新方式近似价值函数,在大规模空调的庞大价值函数空间中平衡计算效率、经济性。通过使用历史数据离线训练价值函数,TCA-ADP通过并行且闭式分解高效实现大规模空调的近优实时调度。案例研究验证了TCA-ADP的有效性与可扩展性,凸显其聚合精度、不确定性处理能力及经济性与可处理性之间的权衡。

英文摘要

Air conditioner (AC) loads offer promising flexibility for active distribution networks to manage uncertainties, such as those in renewable energy generation, electricity prices, and load demand. However, real-time scheduling of ACs is challenging due to their massive temporal coupling constraints and time-causal uncertainties. To address this, a novel time-causal aggregation-based approximate dynamic programming (TCA-ADP) algorithm is proposed for efficient scheduling. The time-causality requirements for aggregating state variables are first analyzed to align with the real-time sequential decision-making process. Subsequently, an enhanced aggregation model is developed to ensure both high accuracy and adherence to time causality. The aggregation process is further reformulated as a linear program to optimize aggregation parameters and enable tractable computation. Accordingly, the TCA-ADP leverages aggregated state variables to approximate the value function as a new way, balancing computational efficiency and economy against the large value function space of massive ACs. By training the value function offline using historical data, the TCA-ADP efficiently achieves near-optimal real-time scheduling of massive ACs through parallel and closed-form disaggregation. Case studies demonstrate the effectiveness and scalability of the TCA-ADP, highlighting its aggregation accuracy, uncertainty handling, and the trade-off between economy and tractability.

CommentsPublished in: IEEE Transactions on Smart Grid (vol. 16, no. 3, pp. 2389-2403, 2025)

论文原文

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