Electromagnetic Force Analysis of Short-circuit Faults in Transformer Windings Based on Fractional-order Models

The global shift towards renewable energy has led to a significant increase in the renewable energy power generation industry. However, the unpredictable nature of renewable energy sources poses challenges for power systems, especially transformers. To better assess and analyze the condition of transformers, this paper introduces an electromagnetic force analysis of transformer windings using fractional order theory. In this analysis, the fractional order characteristics of inductance and capacitance are taken into account, and a refined lumped parameter equivalent circuit model of the windings is utilized. The paper evaluates the electromagnetic force in the event of a phase-to-phase short circuit and contrasts it with the traditional integer order model. The findings indicate that this new approach yields a more precise calculation of electromagnetic force, thus providing more accurate benchmarks for assessing the condition of the transformer.