A Two-Stage Robust Optimization for Centralized-Optimal Dispatch of Photovoltaic Inverters in Active Distribution Networks

Tao Ding, Cheng Li, Yongheng Yang, Jiangfeng Jiang, Zhaohong Bie, Frede Blaabjerg

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50 Citations (Scopus)
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Abstract

Optimally dispatching Photovoltaic (PV) inverters is an efficient way to avoid overvoltage in active distribution networks, which may occur in the case of PV generation surplus load demand. Typically, the dispatching optimization objective is to identify critical PV inverters that have the most significant impact on the network voltage level. Following, it ensures the optimal set-points of both active power and reactive power for the selected inverters, guaranteeing the entire system operating constraints (e.g., the network voltage magnitude) within reasonable ranges. However, the intermittent nature of solar PV energy may affect the selection of the critical PV inverters and also the final optimal objective value. In order to address this issue, a two-stage robust optimization model is proposed in this paper to achieve a robust optimal solution to the PV inverter dispatch, which can hedge against any possible realization within the uncertain PV outputs. In addition, the conic relaxation-based branch flow formulation and second-order cone programming based column-and-constraint generation algorithm are employed to deal with the proposed robust optimization model. Case studies on a 33-bus distribution network and comparisons with the deterministic optimization approach have demonstrated the effectiveness of the proposed method.
Original languageEnglish
JournalIEEE Transactions on Sustainable Energy
Volume8
Issue number2
Pages (from-to)744-754
Number of pages11
ISSN1949-3029
DOIs
Publication statusPublished - Apr 2017

Keywords

  • Two-stage robust optimization
  • Optimal inverter dispatch (OID)
  • Column-and-constraint generation algorithm
  • Active distribution network
  • Photovoltaic generation

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