Dynamic Optimal Energy Dispatch Method for Integrated Energy System Based on Superposition of Energy Flow Response

In today's interconnected multi-energy systems, the demand for flexible scheduling in integrated energy systems (IES) has significantly increased. To meet this demand, dynamic optimal energy flow (OEF) technology must enhance its accuracy, efficiency, and convergence. This paper presents an innovative dynamic OEF model for IES based on the superposition of energy flow responses, marking the first systematic application of the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">L</i>-domain energy flow model to OEF. Initially, we establish a reduced order mapping function between known and unknown state variables, leveraging normalized step response matrices of unknown variables for the natural gas and heat networks, which is a direct time-domain discrete mapping that avoids the computational burden introduced by both the element iteration and time-frequency domain conversion. Subsequently, we transform this mapping into a low-dimensional energy flow constraint to construct an OEF model in the superposition form, of which the accuracy is guaranteed by the precise energy flow model, and the efficiency is further improved by the fixed constants within the energy flow constraint. Finally, extensive case studies demonstrate the superior performance of the proposed method compared to existing approaches in accuracy, efficiency, and model complexity.