A time-coupling consideration for evaluation of load carrying capacity in district multi-energy systems

Abstract

This paper proposes a systematic approach to evaluate the load carrying capability of a district multi-energy system (MES) using the Energy Hub (EH) modeling approach. The EH approach is used to model the system, and the EH steady-state security region concept is introduced as a means of assessing the system's load carrying capacity. To calculate the security region, a multi-parametric programming (MPP) algorithm is proposed, while a standardized matrix modeling approach is utilized to formulate its mathematical representation. To handle the high-dimensional polytope resulting from time coupling, a strategy is employed to approximate the original polytope using a reduced number of lower-dimensional polytopes. These lower-dimensional polytopes are specifically associated with a limited number of time periods, thereby alleviating the computational complexity. The proposed method offers an improved balance between computational accuracy and efficiency compared to existing approaches, while retaining the inherent time coupling characteristics across different period combinations.