Aiming at the problem of fault location in distribution networks with distributed energy resources (DERs), a fault location method based on the concepts of minimum fault reactance and golden section is proposed in this paper. Considering the influence of distributed energy resource supply on fault point current in distribution networks, an improved trapezoidal iteration method is proposed for load flow analysis and fault current calculation. This method only needs to measure the synchronous current of the distributed energy resource and does not need to measure the voltage information. Therefore, the investment in equipment is reduced. Validation is made using the IEEE 34-node test feeder. The simulation results show that the method is suitable for fault location of distribution networks with multiple distributed generators. This method can accurately locate the faults of the active distribution network under different conditions.

In this study, complex GdAlO3‐Gd2Zr2O7 and high‐entropy REAlO3‐RE2Zr2O7(RE = Nd, Sm, Gd, Eu and Dy) composites with an equiaxed dendrite structure at eutectic composition are successfully fabricated using a gas levitation containerless solidification method. The unique microstructure of the composites is characterized, and the evolution process of the dendritic structure is explained. The formation of dendrites at eutectic composition is attributed to the rapid cooling induced by the shutoff of lasers and the homogeneous temperature field and nucleation achieved through gas levitation. The GdAlO3‐Gd2Zr2O7 and high‐entropy oxide composites exhibit enhanced fracture toughness compared to the bulk samples fabricated by solid‐state sintering methods. The fracture toughness increases by 44% for GdAlO3‐Gd2Zr2O7 bulk sample and 34% for high‐entropy REAlO3‐RE2Zr2O7 bulk sample, which can be attributed to the complicated interfaces introduced by the equiaxed dendritic microstructure and the high thermal mismatch stress between two phases. Additionally, the high‐entropy REAlO3‐RE2Zr2O7 oxides exhibit excellent high‐temperature stability, with no significant change in dendritic microstructure or fracture toughness even after holding at 1573K for 100 hours. These findings suggest the potential of high‐entropy eutectic oxide ceramics with dendrite microstructure for advanced engineering applications.This article is protected by copyright. All rights reserved

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