What is it about?

A mixed-integer non-linear programming model for the transmission expansion planning problem is presented and rewritten with semidefinite structures. Then, the generalized Benders decomposition is used to separate the overall problem into an upper-level (master) problem and several lower-level (slaves) problems.

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Why is it important?

We define a new way to deal with the transmission expansion planning problem that considers AC network constraints and operating conditions. Based on the efforts made by previous works, the contribution of this work is a methodology capable of obtaining a near-global optimal solution to the multistage ACTNEP and RPP considering operating conditions without linearizations. More explicitly: • A MINLP problem, and its reformulation including semidefinite structures, for the multistage ACTNEP and RPP with operating conditions. • A methodology (that uses the GBD and semidefinite relaxation) capable to solve the reformulated MINLP problem with precision and convergence. • A class of Benders’ cuts in order to include investment constraints in the master problem.


Writing this article was a great pleasure as it has co-authors with whom I have had long-standing collaborations. This article also leads to power system planning contacting me and ultimately to greater involvement in the current power system planning problems.

Erik Francisco Alvarez Quispe
Universidad Pontificia Comillas

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This page is a summary of: Semidefinite Relaxation and Generalized Benders Decomposition to Solve the Transmission Expansion Network and Reactive Power Planning, IET Generation Transmission & Distribution, February 2020, the Institution of Engineering and Technology (the IET), DOI: 10.1049/iet-gtd.2019.0331.
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