Abstract
This paper presents the decentralized 15-minute time interval multi-period energy optimization of an active Unbalanced three-phase Power Distribution System (UPDS) interconnected with the District Heating System (DHS). The UPDS subsystem problem is formulated as a bi-level problem, where level-1 solves the linear three-phase power flow approximation, and level-2 solves the nonlinear convex versions of the subsystem problem. The variable mass flow rate in DHS brings increased system flexibility compared to the constant flow rate and, therefore, enhances energy optimization of the heating system. The McCormick envelopes based polyhedral relaxations and the Second Order Cone Programming (SOCP) relaxations are employed to convexify the nonconvexities involved in the integrated UPDS-DHS system. The relaxation error in each subsystem problem is iteratively reduced below predefined acceptance levels. The proposed approach minimizes the integrated system's multi-period operation cost and is implemented on an active unbalanced IEEE-13 bus distribution network and a 30-node DHS.
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