Physics-integrated hierarchical/distributed HVAC optimization for multiple buildings with robustness against time delays

Takeshi Hatanaka, Xuan Zhang, Wenbo Shi, Minghui Zhu, Na Li

Abstract: In this paper, we address energy management for heating, ventilation, and air-conditioning (HVAC) systems in multiple buildings, and present a novel hierarchical/distributed optimization algorithm based on passivity. After formulating a thermal dynamics and an associated optimization problem across multiple buildings, we present a novel physics-integrated hierarchical/distributed optimization algorithm based on so-called primal-dual algorithm and the algorithm presented in [7]. We then prove convergence of the zone temperatures to the optimal ones based on passivity. The algorithm is further extended to ensure robustness against inter-layer time delays using scattering transformation. The present algorithm is finally demonstrated through simulation.