Efficient linear network model for TEP based on piecewise McCormick relaxation

This study presents a novel scheme for transmission expansion planning (TEP) based on piecewise McCormick relaxation. The model presented considers investment and operation cost and identifies the transmission lines to be built. Since the AC power flow equations are inherently non-convex and non-lin...

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Vydáno v:IET generation, transmission & distribution Ročník 13; číslo 23; s. 5404 - 5412
Hlavní autoři: Goodarzi, Shahin, Gitizadeh, Mohsen, Reza Abbasi, Ali
Médium: Journal Article
Jazyk:angličtina
Vydáno: The Institution of Engineering and Technology 03.12.2019
Témata:
AC power flow equations
complex optimisation problem
concave programming
efficient commercial solvers
efficient linear network model
integer programming
investment
linear programming
linear‐TEP model
load flow
mixed‐integer linear programming problem
nonconvex AC‐TEP formulation
nonlinear AC‐TEP formulation
nonlinear model
nonlinear programming
off‐the‐shelf solvers
operation cost
optimal global solution
piecewise McCormick relaxation
power network
power system
power transmission economics
power transmission lines
power transmission planning
Research Article
TEP problem
transmission expansion planning
transmission lines
power transmission lines
nonlinear programming
integer programming
power system
nonconvex AC-TEP formulation
nonlinear model
complex optimisation problem
linear programming
transmission expansion planning
power transmission economics
optimal global solution
efficient commercial solvers
mixed-integer linear programming problem
AC power flow equations
off-the-shelf solvers
TEP problem
power transmission planning
linear-TEP model
concave programming
investment
nonlinear AC-TEP formulation
efficient linear network model
transmission lines
power network
operation cost
piecewise McCormick relaxation
load flow
ISSN:1751-8687, 1751-8695
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Popis
Shrnutí:This study presents a novel scheme for transmission expansion planning (TEP) based on piecewise McCormick relaxation. The model presented considers investment and operation cost and identifies the transmission lines to be built. Since the AC power flow equations are inherently non-convex and non-linear, the resulting TEP model will be a highly complex optimisation problem, in which the optimal global solution is not guaranteed to be found by the existing techniques. This study aims to transform the non-linear model of the power network into a novel linear one. The model proposed is much more precise compared with the DC approach, while the global solution is guaranteed to be found by the off-the-shelf solvers. This accurate transformation from a non-convex and non-linear AC-TEP formulation into a linear-TEP model enables the planner to get more insight into the power flow of the power system. The TEP problem is formulated as a mixed-integer linear programming problem and is solved using the efficient commercial solvers. The results of the case studies show the tractability and exactness of the proposed model as well as its superiority over the state-of-the-art schemes.
ISSN:1751-8687
1751-8695
DOI:10.1049/iet-gtd.2019.0878