Abstract The linear phase-shifting transformer is a new type with the advantages of a simple winding structure, easy modularity, and shift phase ability at any angle. However, the linear structure can cause the end effect, distorting the air gap magnetic field of the linear phase-shifting transformer. Therefore, this paper analyzes the magnetic field of the linear phase-shifting transformer, establishes an equivalent circuit model to account for the end effect, and calculates the correction factor when the end effect is considered. Firstly, the end effect of the linear phase-shifting transformer is mainly considered: magnetic distortion in the air gap due to magnetic circuit asymmetry and magnetic circuit breaking. The end effect mainly affects the compound power transferred from the primary side to the air gap and the secondary side of the linear phase-shifting transformer, which can be reflected as a change in the equivalent impedance in the equivalent circuit model. Then, this paper calculates such end effect. Besides, the primary side of the T-type equivalent circuit is unaffected by the end effect, and the primary side’s equivalent resistance and equivalent reactance can be calculated according to the transformer's parameters. Based on the solved expressions for each parameter, the equivalent circuit model of the linear phase-shifting transformer, considering the end effect, can be established. Finally, a two-dimensional model of the linear phase-shifting transformer prototype is built based on Ansys Maxwell finite element simulation software, and an experimental platform with the same parameters as the simulation model is established. The accuracy of the equivalent circuit model is verified under five operating conditions: no load, 30% load, 50% load, 70% load, and rated load. Compared with the mathematical model calculated by the voltage equation of a magnetic chain, the equivalent circuit model has a simpler structure and is easier to calculate, which is more conducive to the subsequent optimization design. However, the equivalent circuit model based on the voltage balance of each phase has certain limitations. The method of the equivalent circuit model is proposed by analyzing the end effect of the linear phase-shifting transformer. This paper provides a reference for the magnetic field analysis, loss calculation, control strategy, and optimization design of the linear phase-shifting transformer. In addition, it is more convenient in the actual calculation and analysis.
Zhao Jinghong,Zhou Changduo,Wang Hanming等. Equivalent Circuit Analysis of Linear Phase-Shifting Transformer Considering End Effect[J]. Transactions of China Electrotechnical Society, 2024, 39(6): 1792-1805.
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