Paper Info
Title
A Quadratic Convergent Iteration-Variable-Correction-Based Method for Optimal Power Flow of Transmission-Distribution-Coupled Systems
Abstract
An iteration-variable-correction (IVC) based method is proposed for solving optimal power flow (OPF) of transmission-distribution-coupled (TDC) systems. First, a TDC system can be divided into a single coordinator and multiple agents. Then, the basic formulation, subproblem construction, and selection of iteration variables are given based on the conventional heterogeneous decomposition algorithm (HGD). Considering the limitations of the conventional HGD, the IVC is proposed. According to the general theory of the IVC, when it is applied to solve TDC OPF, the voltage magnitude of boundary buses and the multipliers corresponding to boundary power injections will be corrected every four iterations with first-order and second-order differential operations on historical results in the previous four iterations. The quadratic convergence of the IVC is proved under several weak assumptions. The numerical experiments demonstrate that the proposed IVC has the same accuracy as the method based on the centralized OPF model. Also, better convergence and efficiency can be achieved under the IVC compared with some conventional decomposition methods, including alternating direction method of multipliers, auxiliary problem principle method, analytical target cascading method, and the HGD.
Year
DOI
Venue
2022
10.1109/JSYST.2021.3098815
IEEE SYSTEMS JOURNAL
Keywords
DocType
Volume
Convergence, Partitioning algorithms, Optimization, Numerical models, Mathematical model, Master-slave, Linear programming, Iteration-variable-correction (IVC) based method, optimal power flow (OPF), quadratic convergence, transmission-distribution-coupled (TDC) systems
Journal
16
Issue
ISSN
Citations 
2
1932-8184
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Kunjie Tang100.34
Shufeng Dong201.69
Yong-Hua Song329129.51