Research on Three-phase Optimal Power Flow for Distribution Networks Based on Constant Hessian Matrix

Fengzhan Zhao, Tingting Zhao, Yuntao Ju, Kang Ma, Xianfei Zhou

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The optimal power flow (OPF) problem for active distribution networks with distributed generation (DG) and a variety of discretely adjustable devices (e.g., on-load tap-changers, OLTCs) is essentially a non-convex, nonlinear, mixedinteger optimization problem. In this paper, the quadratic model of three-phase OLTCs is proposed by adding branch currents as unknown variables, which guarantee a constant Hessian matrix throughout iterations. This paper proposes a three-phase OPF model for active distribution networks, considering a three-phase DG model. The OPF model is solved by an interior point method incorporating a quadratic penalty function as opposed to a Gaussian penalty function. Furthermore, a voltage regulator is also incorporated into the OPF model to form an integrated regulation strategy. The methodology is tested and validated on the IEEE 13-bus three-phase unbalanced test system.
Original languageEnglish
Article number241
Number of pages7
JournalIET Generation, Transmission and Distribution
Issue number1
Early online date22 Aug 2017
Publication statusPublished - 1 Feb 2018


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