###### Abstract  
Magnetic shunts efficiently mitigate losses caused by leakage currents in the tank walls of power transformers. Transformer manufacturers frequently utilize vertical magnetic shunts positioned on the inside surfaces of the transformer tank walls. This study investigated the optimum use of horizontal shunts in a power transformer. A 50 MVA power transformer, manufactured on a commercial scale and featuring optimized vertical magnetic shunts integrated into the wall structure, was analyzed using the 3D finite element method for 100 ms at full load. Simulations for analyses were performed using a commercial ANSYS Electronics Desktop 2021 R1 FEM software program. The model's validity was demonstrated by verifying the analysis results with experimental tank loss values. Tank loss samples were obtained by analyzing the transformer tank for two milliseconds with vertical magnetic shunts only on the long front wall and the short side wall. Using these loss samples as a reference, parametric analyses were performed for two milliseconds with horizontal magnetic shunts only on the short side wall and only on the long front wall of the tank. A tank model with horizontal magnetic shunts of an appropriate location and size was obtained via the parametric analyses. This model was analyzed for 100 milliseconds at full load and compared with the experimental results of the transformer manufacturer's vertical magnetic shunt transformer. According to the results, a saving of 25.83% was achieved in the horizontal magnetic shunt volume compared with the vertical magnetic shunt volume. The maximum magnetic flux density was lower in the horizontal magnetic shunts, and the maximum current density was lower in the transformer tank with horizontal magnetic shunts. magnetic shunt; transformer tank loss; finite element method; stray losses Article Determining the Positions and Dimensions of Horizontal Magnetic Shunts in Transformer Tank Walls Using Parametric Analyses Based on the Finite Element Method  
12(c), 2024(c  
caused by eddy currents in the metal structural components of the transformer. The eddy losses occurring in the metal structural components of the transformer, particularly the tank walls, comprise 20-50% of the load operating loss [2]. A significant proportion of these losses are power losses due to leakage flux in the windings on the tank walls, also known as tank losses. Stray losses caused by stray flux in a transformer's tanks and structural components significantly impact its overall performance. Minimizing these losses is crucial for producers. Magnetic shunts are employed to minimize the dissipation of stray magnetic flux on the tank walls. Designing large power transformers presents a significant issue in determining the size and placement of magnetic shunts. Magnetic shunts consist of laminated steel packages used to minimize losses on the shunt surface caused by the normal component of the magnetic field [3]. Power losses in tank walls depend on physical and electrical parameters such as the winding currents, the winding structure, the distance between the windings and the tank walls, the distance from the magnetic shunts to the tank walls, the location and size of the magnetic shunts, and the tank's electromagnetic properties. The calculation, reduction, and analysis of transformer tank losses using various numerical methods have been intensively studied. Accurate calculations of transformer losses are crucial for analysis and design. In one study in the literature, an analytical method was developed to calculate the leakage losses in a three-phase transformer tank by considering the tank shape, three-phase excitation, hysteresis, and non-linearity [4]. In another study, the vertical magnetic flux density was obtained at discrete points on the tank surface to calculate the eddy current losses in the tank walls of a large power transformer, and a double-Fourier series was adopted to analytically express the obtained magnetic flux density [5].