New Formulation and Strong MISOCP Relaxations for AC Optimal Transmission Switching Problem

As the modern transmission control and relay technologies evolve, transmission line switching has become an important option in power system operators' toolkits to reduce operational cost and improve system reliability. Most recent research has relied on the DC approximation of the power flow m...

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Bibliographic Details
Published in:IEEE transactions on power systems Vol. 32; no. 6; pp. 4161 - 4170
Main Authors: Kocuk, Burak, Dey, Santanu S., Sun, Xu Andy
Format: Journal Article
Language:English
Published: IEEE 01.11.2017
Subjects:
AC transmission switching
cutting planes
Generators
Load flow
mixed-integer programming
Power system stability
Power transmission lines
Programming
Reactive power
second order cone programming
semidefinite programming
Switches
valid inequalities
ISSN:0885-8950, 1558-0679
Online Access:Get full text
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Summary:As the modern transmission control and relay technologies evolve, transmission line switching has become an important option in power system operators' toolkits to reduce operational cost and improve system reliability. Most recent research has relied on the DC approximation of the power flow model in the optimal transmission switching problem. However, it is known that DC approximation may lead to inaccurate flow solutions and also overlook stability issues. In this paper, we focus on the optimal transmission switching problem with the full AC power flow model, abbreviated as AC optimal transmission switching (AC OTS). We propose a new exact formulation for AC OTS and its mixed-integer second-order cone programming relaxation. We improve this relaxation via several types of strong valid inequalities inspired by the recent development for the closely related AC optimal power flow problem [Kocuk et al., "Strong SOCP relaxations for the optimal power flow problem," Oper. Res., vol. 64, no. 6, pp. 1177-1196, 2016]. We also propose a practical algorithm to obtain high-quality feasible solutions for the AC OTS problem. Extensive computational experiments show that the proposed formulation and algorithms efficiently solve IEEE standard and congested instances and lead to significant cost benefits with provably tight bounds.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2017.2666718