Open AccessInterval optimization for integrated electrical and natural‐gas systems with combined cooling, heating, and power considering demand response
Author(s) -
Yuan Shuangchen,
Wang Shouxiang,
Meng Zihan
Publication year - 2020
Publication title -
international transactions on electrical energy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.428
H-Index - 42
ISSN - 2050-7038
DOI - 10.1002/2050-7038.12447
Subject(s) - interval (graph theory) , correctness , linear programming , monte carlo method , mathematical optimization , computer science , affine transformation , natural gas , demand response , power (physics) , electric power , algorithm , engineering , mathematics , electrical engineering , electricity , statistics , physics , combinatorics , quantum mechanics , pure mathematics , waste management
Summary This article is aimed at optimizing the operation of the integrated electrical and natural‐gas systems (IENGS) with combined cooling, heating, and power (CCHP) considering demand response (DR) under uncertain conditions. First, the deterministic optimization model of IENGS is established. Then, considering the uncertainty of light intensities, the uncertain optimization model of IENGS is proposed by interval mathematics. Next, the interval optimization model is solved by the improved interval linear programming method, in which affine arithmetic is applied in the solving progress to get less conservative results. In the numerous cases, the proposed method is compared with the Monte‐Carlo simulation and interval linear method without affine mathematics to verify its correctness and effectiveness. The influence of the uncertainty brought by light intensities is analyzed. Four scenarios are designed to testify the economy of electrical and natural‐gas DR programs. The results lead to the conclusion that high uncertain level of light intensities will make operation cost of the IENGS fall in a wider interval and the lower cost can be obtained when the electrical and natural‐gas DR programs are implemented simultaneously.