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

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 netw...

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Bibliographic Details
Published in:Sustainability Vol. 17; no. 21; p. 9510
Main Authors: Lan, Zheng, Tan, Renyu, Yang, Chunzhi, Peng, Xi, Zhao, Ke
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2025
Subjects:
Carbon
Constraint satisfaction
Efficiency
Electric power distribution
Electricity distribution
Fuzzy algorithms
Fuzzy logic
Fuzzy systems
Methods
Multiple criteria decision making
Network analysis (Planning)
Optimization
China
ISSN:2071-1050, 2071-1050
Online Access:Get full text
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Summary: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.
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ISSN:2071-1050
2071-1050
DOI:10.3390/su17219510