Multi-time-scale and robust-safety extensions for continuous-time IHPS scheduling

Develop integrated heat and power system scheduling methods that address the multi-time-scale characteristics of complex energy systems and incorporate robust safety constraints to account for the effects of subsystem time delays on system security.

Background

The paper presents a Bernstein–Galerkin optimization framework for scheduling integrated heat and power systems while representing district-heating-network thermal dynamics continuously in space and time. The conclusion identifies two unresolved extensions: handling the multi-time-scale behavior inherent in complex energy systems and incorporating robust safety constraints. The latter is motivated by the observation that time delays in subsystem interactions can materially affect system security. These topics are explicitly characterized as remaining open directions for further research.