SOCP Relaxations of Optimal Power Flow Problem Considering Current Margins in Radial Networks

Yuwei Chen, Ji Xiang and Yanjun Li
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Yuwei Chen: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Ji Xiang: College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
Yanjun Li: School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310030, China

Energies, 2018, vol. 11, issue 11, 1-17

Abstract: Optimal power flow (OPF) is a non-linear and non-convex problem that seeks the optimization of a power system operation point to minimize the total generation costs or transmission losses. This study proposes an OPF model considering current margins in radial networks. The objective function of this OPF model has an additional term of current margins of the line besides the traditional transmission losses and generations costs, which contributes to thermal stability margins of power systems. The model is a reformulated bus injection model with clear physical meanings. Second order cone program (SOCP) relaxations for the proposed OPF are made, followed by the over-satisfaction condition guaranteeing the exactness of the SOCP relaxations. A simple 6-node case and several IEEE benchmark systems are studied to illustrate the efficiency of the developed results.

Keywords: SOCP relaxations; optimal power flow; current margins (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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