arXiv:2601.22880eess.SYcs.AI2026-01

用强化学习优化空调系统冷机与储冷装置的搭配,降低30年总成本。

Reinforcement Learning-Based Co-Design and Operation of Chiller and Thermal Energy Storage for Cost-Optimal HVAC Systems

  • 用深度Q网络学习冷机部分负荷比,动态应对电价和需求变化
  • 确定最优配置为冷机700单位、储冷1500单位,满足全天冷却需求
  • 解决冷机与储冷成本不对称难题,适合能源系统设计者参考

本文研究商业建筑空调系统中冷机与蓄热(TES)装置联合运行与容量设计问题,目标是在30年生命周期内最小化总成本。系统包含固定容量电制冷机和蓄热装置,需在时变电价和随机小时级冷负荷下协同运行。总成本包括初始投资和折现后的运行成本(含电费与维护)。关键挑战在于资本成本显著不对称:冷机容量每增加一单位的成本远高于等量蓄热容量。因此,在确保最优运行下不发生冷负荷缺失的前提下,找到合适的冷机与蓄热组合构成非平凡的协同设计问题。针对固定配置下的冷机运行问题,将其建模为有限时域马尔可夫决策过程(MDP),控制动作为冷机部分负荷比(PLR)。采用带约束动作空间的深度Q网络(DQN)求解该MDP,学习策略以最小化历史电价与冷负荷数据下的电费支出。对每个候选的冷机-TES容量组合,使用训练好的策略进行评估,并仅保留能完全满足冷负荷需求的可行配置,再在该集合上进行生命周期成本最小化,从而识别出成本最优的设计方案。结果表明,最优冷机与蓄热容量分别为700和1500单位。

原文摘要 · Abstract (English)

We study the joint operation and sizing of cooling infrastructure for commercial HVAC systems using reinforcement learning, with the objective of minimizing life-cycle cost over a 30-year horizon. The cooling system consists of a fixed-capacity electric chiller and a thermal energy storage (TES) unit, jointly operated to meet stochastic hourly cooling demands under time-varying electricity prices. The life-cycle cost accounts for both capital expenditure and discounted operating cost, including electricity consumption and maintenance. A key challenge arises from the strong asymmetry in capital costs: increasing chiller capacity by one unit is far more expensive than an equivalent increase in TES capacity. As a result, identifying the right combination of chiller and TES sizes, while ensuring zero loss-of-cooling-load under optimal operation, is a non-trivial co-design problem. To address this, we formulate the chiller operation problem for a fixed infrastructure configuration as a finite-horizon Markov Decision Process (MDP), in which the control action is the chiller part-load ratio (PLR). The MDP is solved using a Deep Q Network (DQN) with a constrained action space. The learned DQN RL policy minimizes electricity cost over historical traces of cooling demand and electricity prices. For each candidate chiller-TES sizing configuration, the trained policy is evaluated. We then restrict attention to configurations that fully satisfy the cooling demand and perform a life-cycle cost minimization over this feasible set to identify the cost-optimal infrastructure design. Using this approach, we determine the optimal chiller and thermal energy storage capacities to be 700 and 1500, respectively.

强化学习空调系统储能优化成本最小化

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