Probabilistic decomposition-based security constrained transmission expansion planning incorporating distributed series reactor

This study presents a probabilistic transmission expansion planning model incorporating distributed series reactors, which are aimed at improving network flexibility. Although the whole problem is a mixed-integer non-linear programming problem, this study proposes an approximation method to linearis...

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Vydáno v:	IET generation, transmission & distribution Ročník 14; číslo 17; s. 3478 - 3487
Hlavní autoři:	Yuan, Zhi, Wang, Weiqing, Wang, Haiyun, Ghadimi, Noradin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	The Institution of Engineering and Technology 04.09.2020
Témata:	approximation method BD algorithm Benders decomposition algorithm developed optimal power flow problem distributed series reactors integer programming linear programming linear sub‐problem load flow mixed‐integer nonlinear programming problem Monte Carlo methods network flexibility nonlinear programming optimal number optimality gap power generation planning power system security power transmission planning power transmission reliability probabilistic decomposition‐based security probabilistic transmission expansion planning model probability Research Article stage problem transmission expansion planning incorporating distributed series reactor transmission lines power generation planning integer programming nonlinear programming distributed series reactors Benders decomposition algorithm linear programming Monte Carlo methods network flexibility approximation method mixed-integer nonlinear programming problem power transmission planning power transmission reliability transmission expansion planning incorporating distributed series reactor probability probabilistic decomposition-based security transmission lines power system security optimality gap probabilistic transmission expansion planning model linear sub-problem BD algorithm optimal number developed optimal power flow problem stage problem load flow
ISSN:	1751-8687, 1751-8695
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Shrnutí:	This study presents a probabilistic transmission expansion planning model incorporating distributed series reactors, which are aimed at improving network flexibility. Although the whole problem is a mixed-integer non-linear programming problem, this study proposes an approximation method to linearise it in the structure of the Benders decomposition (BD) algorithm. In the first stage of the BD algorithm, optimal number of new transmission lines and distributed series reactors are determined. In the second stage, the developed optimal power flow problem, as a linear sub-problem, is performed for different scenarios of uncertainties and a set of probable contingencies. The Benders cuts are iteratively added to the first stage problem to decrease the optimality gap below a given threshold. The proposed model utilises the Monte Carlo simulation method to take into account uncertainty of wind generations and demands. Several case studies on three test systems are presented to validate the efficacy of the proposed approach.
ISSN:	1751-8687 1751-8695
DOI:	10.1049/iet-gtd.2019.1625