Hybrid Data-Model Driven Flexible Convex Polyhedron Construction for Solving Optimal Electricity-Heat-Gas Flow
Yingying Zheng, J. L. Wang, Shijie Guan, Sheng Chen, Yongning Zhao
Abstract
The integration of electricity, heat, and gas networks introduces additional dimensions of flexibility, but the complex network topology makes power dispatch challenging. This paper presents a method for constructing a convex polyhedron to define the dynamic 3D flexible region (FR), which represents all possible power/heat/gas flow injection solutions that simultaneously satisfy operational constraints. First, a modified energy hub framework is proposed, and Monte Carlo simulations are used to sample feasible unit commitment and power dispatch scenarios. The Quick-Hull algorithm is applied to form a polyhedron that encloses all feasible solutions. Second, a point coordinate projection technique is employed to approximate the non-convex optimization problem to a convex one by shaping a projected 2D dispatchable plane. A case study using the modified IEEE33-NGS15-DHS15 and IEEE33-NGS25-DHS28 test systems demonstrates the efficiency and effectiveness of the proposed 3D geometry-based approach in solving joint scheduling problems across electricity, heat, and gas clusters.