NDLI: Semidefinite relaxation and generalised benders decomposition to solve the transmission expansion network and reactive power planning

Content Provider	IET Digital Library
Author	Alvarez, Erik F. Paredes, Miguel Rider, Marcos J.
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 non-linear 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.
Starting Page	2160
Ending Page	2168
Page Count	9
ISSN	17518687
Volume Number	14
e-ISSN	17518695
Issue Number	Issue 11, Jun (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/14/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2019.0331
Journal	IET Generation, Transmission & Distribution
Publisher Date	2020-02-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	A.c. Transmission AC Power Flow Alternating Current Transmission Network Expansion Garver 6-bus System Generalised Benders Decomposition IEEE 118-bus System Investment Cost Load Flow Lower-level Problem Minimisation Mixed-integer Linear Programming Problem Multistage Expansion Optimisation Technique Power System Economics Power System Managemen Power System Operation Power System Planning And Layout Power Transmission Planning Reactive Power Reactive Power Planning Problem Semidefinite Relaxation Semidefinite Structure Transmission Expansion Network Upper-level Problem
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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