A VAR optimization model in distribution networks with precise linear modelling for OLTC of transformer

Chang, Xuefei; Gao, Caixia; Gao, Song

doi:10.1109/ei2.2017.8245524

Cited by 3 publications

(3 citation statements)

References 14 publications

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“…The second-order cone relaxation of branch-flow power flows are then utilized to render an efficient mixed-integer second-order cone program (MISOCP). An extension is presented in [15] by incorporating static and discrete reactive power compensators.…”

Section: A Literature Reviewmentioning

confidence: 99%

“…Finally, using (1) to replace v m in the second line of (9) and subsequently substituting in (11) yield (16). Consider the following optimization problem: (12), (13), (14), (15), (16),…”

Section: Rank-constrained Sdp For Branch-flow Opfmentioning

confidence: 99%

“…Equation ( 14) is obtained by multiplying (2a) and Hermitian of (2b), incorporating (11c) and (11d), multiplying left and right respectively by A −1 nm and A nm and then taking only the diagonal elements. Using (11a) in ( 7) yields (15). Finally, using (1) to replace v m in the second line of ( 9) and subsequently substituting in (11) yield (16).…”

Section: Rank-constrained Sdp For Branch-flow Opfmentioning

confidence: 99%

See 2 more Smart Citations

Optimal Power Flow With Step-Voltage Regulators in Multi-Phase Distribution Networks

Bazrafshan

Gatsis

Zhu

2019

IEEE Trans. Power Syst.

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This paper develops a branch-flow based optimal power flow (OPF) problem for multi-phase distribution networks that allows for tap selection of wye, closed-delta, and open-delta step-voltage regulators (SVRs). SVRs are assumed ideal and their taps are represented by continuous decision variables. To tackle the non-linearity, the branch-flow semidefinite programming framework of traditional OPF is expanded to accommodate SVR edges. Three types of non-convexity are addressed: (a) rank-1 constraints on non-SVR edges, (b) nonlinear equality constraints on SVR power flows and taps, and (c) trilinear equalities on SVR voltages and taps. Leveraging a practical phase-separation assumption on the SVR secondary voltage, novel McCormick relaxations are provided for (c) and certain rank-1 constraints of (a), while dropping the rest. A linear relaxation based on conservation of power is used in place of (b). Numerical simulations on standard distribution test feeders corroborate the merits of the proposed convex formulation.

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Section: A Literature Reviewmentioning

confidence: 99%

“…Finally, using (1) to replace v m in the second line of (9) and subsequently substituting in (11) yield (16). Consider the following optimization problem: (12), (13), (14), (15), (16),…”

Section: Rank-constrained Sdp For Branch-flow Opfmentioning

confidence: 99%