Multi-Objective Optimization Method for Flexible Distribution Networks with F-SOP Based on Fuzzy Chance Constraints

Zheng Lan, Renyu Tan (), Chunzhi Yang, Xi Peng and Ke Zhao
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Zheng Lan: School of Transportation and Electrical Engineering, Hunan University of Technology, Zhuzhou 412007, China
Renyu Tan: School of Transportation and Electrical Engineering, Hunan University of Technology, Zhuzhou 412007, China
Chunzhi Yang: State Grid Huaihua Power Supply Company, Huaihua 418000, China
Xi Peng: Jiangmen Power Supply Bureau of Guangdong Power Grid Company Limited, Jiangmen 529000, China
Ke Zhao: School of Transportation and Electrical Engineering, Hunan University of Technology, Zhuzhou 412007, China

Sustainability, 2025, vol. 17, issue 21, 1-19

Abstract: With the large-scale integration of single-phase distributed photovoltaic systems into distribution grids, issues such as mismatched generation and load, overvoltage, and three-phase imbalance may arise in the distribution network. A multi-objective optimization method for flexible distribution networks incorporating a four-leg soft open point (F-SOP) is proposed based on fuzzy chance constraints. First, a mathematical model for the F-SOP’s loss characteristics and power control was established based on the three-phase four-arm topology. Considering the impact of source load uncertainty on voltage regulation, a multi-objective complementary voltage regulation architecture is proposed based on fuzzy chance constraint programming. This architecture integrates F-SOP with conventional reactive power compensation devices. Next, a multi-objective collaborative optimization model for distribution networks is constructed, with network losses, overall voltage deviation, and three-phase imbalance as objective functions. The proposed model is linearized using second-order cone programming. Finally, using an improved IEEE 33-node distribution network as a case study, the effectiveness of the proposed method was analyzed and validated. The results indicate that this method can reduce network losses by 30.17%, decrease voltage deviation by 46.32%, and lower three-phase imbalance by 57.86%. This method holds significant importance for the sustainable development of distribution networks.

Keywords: four-leg soft open point; three-phase imbalance; fuzzy chance constraints; distributed photovoltaics; coordinated optimization; sustainability (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2025
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