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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| Vydané v: | IEEE transactions on power systems Ročník 32; číslo 6; s. 4161 - 4170 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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IEEE
01.11.2017
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| ISSN: | 0885-8950, 1558-0679 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Dey, Santanu S. Kocuk, Burak Sun, Xu Andy |
| Author_xml | – sequence: 1 givenname: Burak surname: Kocuk fullname: Kocuk, Burak email: burak.kocuk@gatech.edu organization: Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA, USA – sequence: 2 givenname: Santanu S. surname: Dey fullname: Dey, Santanu S. email: santanu.dey@isye.gatech.edu organization: Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA, USA – sequence: 3 givenname: Xu Andy surname: Sun fullname: Sun, Xu Andy email: andy.sun@isye.gatech.edu organization: Sch. of Ind. & Syst. Eng., Georgia Inst. of Technol., Atlanta, GA, USA |
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| SubjectTerms | 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 |
| Title | New Formulation and Strong MISOCP Relaxations for AC Optimal Transmission Switching Problem |
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