Impact of Nonlinear Mutual Magnetic Flux on the Operational Performance of Single-Phase Transformers: A Numerical Approach

Abstract

In this study, a numerical analysis of the mathematical model of a single-phase transformer is presented, incorporating a comprehensive expression for the mutual magnetic flux to assess its effect on energy transfer efficiency. Drawing on Faraday’s and Ampère’s laws, the fundamental relationships between magnetic flux, currents, and voltages in the windings are established. Through numerical simulations, the influence of mutual leakage flux is investigated, alongside structural parameters such as resistance, reactance, and the number of turns. The results obtained confirm the model’s effectiveness in predicting transformer behaviour under varying load and network conditions, offering an analytical tool for the design and enhancement of these electrical machines. This approach not only deepens the theoretical understanding of transformers but also supports the development of more efficient and reliable electrical systems.