4.7 Article

Interval Total Transfer Capability for Mesh HVDC Systems Based on Sum of Squares and Multi-Dimensional Holomorphic Embedding Method

Journal

IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 37, Issue 6, Pages 4157-4167

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2022.3145065

Keywords

HVDC transmission; Mathematical models; Load flow; Renewable energy sources; Uncertainty; Indexes; Security; Total transfer capability; Multi-dimensional holomorphic embedding method; high voltage direct current; sum of squares relaxation

Funding

  1. National Natural Science Foundation of China [51977166]
  2. Natural Science Foundation of Shaanxi Province [2021GXLH-Z059]

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A regional total transfer capability interval model based on the multi-dimensional holomorphic embedding method and sum of squares relaxation technique is proposed to solve the total transfer capability problem in high voltage direct current systems. The experimental results validate the effectiveness of the proposed method.
Total transfer capability evaluation is an effective method to analyze the backbone transmission capability among regions. To address renewable energy uncertainties, an interval total transfer capability model based on the multi-dimensional holomorphic embedding method and sum of squares relaxation technique is proposed to solve the regional total transfer capability in meshed high voltage direct current systems. First, the multi-dimensional holomorphic embedding method is used to derive the analytical expressions of regional tie lines. Second, the interval total transfer capability model can be reformulated by two bi-level optimization models. Third, sum of squares relaxation is employed to solve the two optimization problems. Numerical results on a 40-bus European Synthetic System and the Chinese meshed high voltage direct current system validate the effectiveness of the proposed model and method.

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