Mixed-integer second-order cone programming method for active distribution network

Frontiers in Energy Research

Energy Research

Zimu Yi¹  Fei Jiang¹  Qi Guo²  Qianfan Zhou³  Miao Zhao³  Dai Wan⁴ 

[1] College of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, China;College of Electrical and Information Engineering, Hunan University, Changsha, China;State Grid Hunan Electric Power Company Limited Research Institute, Changsha, China;State Grid Hunan Electric Power Company Limited Research Institute, Changsha, China;State Grid Joint Laboratory for Intelligent Application and Key Equipment in Distribution Network, Changsha, China;

关键词: distributed flexible resource;    active distribution network;    collaborative optimization;    low-carbon economy;    second-order cone relaxation;   

DOI  :  10.3389/fenrg.2023.1259445

 received in 2023-07-16, accepted in 2023-08-14,  发布年份 2023

来源: Frontiers

【 摘 要 】

Developing a novel type of power system is an important means of achieving the “dual carbon” goals of achieving peak carbon emissions and carbon neutrality in the near future. Given that the distribution network has access to a wide range of distributed and flexible resources, reasonably controlling large-scale and adjustable resources is a critical factor influencing the safe and stable operation of the active distribution network (ADN). In light of this, the authors of this study propose a mixed-integer second-order cone programming method for an active distribution network by considering the collaboration between distributed, flexible resources. First, Monte Carlo sampling is used to simulate the charging load of electric vehicles (EVs), and the auto regressive moving average (ARMA) and the scenario reduction algorithms (SRA) based on probability distance are used to generate scenarios of the outputs of distributed generation (DG). Second, we establish an economical, low-carbon model to optimize the operation of the active distribution network to reduce its operating costs and carbon emissions by considering the adjustable characteristics of the distributed and flexible resources, such as on-load tap changer (OLTC), devices for reactive power compensation, and EVs and electric energy storage equipment (EES). Then, the proposed model is transformed into a mixed-integer second-order cone programming (SOCP) model with a convex feasible domain by using second-order cone relaxation (SOCR), and is solved by using the CPLEX commercial solver. Finally, we performed an arithmetic analysis on the improved IEEE 33-node power distribution system, the results show that ADN’s day-to-day operating costs were reduced by 47.9% year-on-year, and carbon emissions were reduced by 75.2% year-on-year. The method proposed in this paper has significant effects in reducing the operating cost and carbon emissions of ADNs, as well as reducing the amplitude of ADN node voltages and branch currents.

【 授权许可】

Unknown   
Copyright © 2023 Wan, Zhao, Yi, Jiang, Guo and Zhou.