Title
Semidefinite relaxation and generalised benders decomposition to solve the transmission expansion network and reactive power planning
Date Issued
05 June 2020
Access level
open access
Resource Type
journal article
Author(s)
Alvarez E.F.
Paredes M.
Rider M.J.
Publisher(s)
Institution of Engineering and Technology
Abstract
This study presents a methodology to solve simultaneously the alternating current (AC) transmission network expansion and reactive power planning problems, considering multiple stages and operating conditions. A mixed-integer nonlinear programming model for the proposed planning problem is presented and rewritten with semidefinite structures. Then, the generalised Benders decomposition is used to separate the overall problem into an upper-level (master) problem and several lower-level (slaves) problems. The master problem is a mixed-integer linear programming problem that optimises the investment cost and constraints of the multistage expansion. Each slave problem minimises the operating costs associated with each stage and operating condition (normal operation or contingency), considering the AC power flow via semidefinite relaxation. With the proposed methodology, the global optimality of generalised Benders decomposition can be preserved due to the use of semidefinite relaxation in each slave problem. Garver's 6-bus system and an IEEE 118-bus system are used to show the precision and convergence to near-global optimal solutions with small relaxation gaps through the proposed approach.
Start page
2160
End page
2168
Volume
14
Issue
11
Language
English
OCDE Knowledge area
Ingeniería eléctrica, Ingeniería electrónica
Ingeniería de sistemas y comunicaciones
Scopus EID
2-s2.0-85085025579
Source
IET Generation, Transmission and Distribution
ISSN of the container
17518687
Sponsor(s)
This work was supported by the Brazilian institutions CAPES and FAPESP under Research Grant 2017/21752-1.
Sources of information:
Directorio de Producción Científica
Scopus