## 5 Conclusions  
In this study, samples of the tank losses were taken from the short side and the long front walls of a vertical magnetic shunt transformer tank, which had been manufactured on a commercial scale and had been optimized. Taking these loss examples as a reference, parametric analyses were carried out for the transformer with a horizontal magnetic shunt in its tank, based on the finite element method. The location and dimensions of suitable horizontal magnetic shunts were determined via parametric analysis. The parametric analyses revealed that the magnetic shunt on the short side wall of the transformer tank had a width of 700 mm and a height of 2000 mm. The magnetic shunt on the long front walls had a width of 3900 mm and a height of 400 mm. The distance between the magnetic shunts was 600 mm. The thickness of the magnetic shunt was 15 mm. The transformer was analyzed for 100 ms at full load based on the acquired magnetic shunt location and size. The analysis results were validated using the experimental data.  
Figure 14: Magnetic flux density distribution at shunts in the tank at full load: (**a**) vertical magnetic shunt; (**b**) horizontal magnetic shunt.  
Figure 13: Current density distribution on the tank surface at full load (**a**) without magnetic shunt; (**b**) with vertical magnetic shunt; and (**c**) with horizontal magnetic shunt.  
Twenty-one and five magnetic shunts were used in the vertical and horizontal magnetic shunt transformer tanks, respectively. The number of magnetic shunts used was successfully reduced. Magnetic shunt volumes of 154,518 cm\({}^{3}\) and 114,600 cm\({}^{3}\) were used in the transformer tanks with vertical and horizontal magnetic shunts, respectively. A 25.83% reduction in the magnetic shunt volume was achieved. The total power loss for the vertical magnetic shunt, including the tank loss and the magnetic shunt loss, was 11.01 kW, and that for the horizontal magnetic shunt was 11.60 kW. The horizontal magnetic shunt demonstrated a 5.35% increase in loss. The power loss in the tank without a magnetic shunt was 22.76 kilowatts. Implementing a horizontal magnetic shunt decreased the tank loss by 49.03%. The maximum magnetic flux density in the horizontal magnetic shunts was lower than in the vertical magnetic shunts. The maximum current density in the horizontal magnetic shunt transformer tank was lower than that in the vertical magnetic shunt transformer tank. Additionally, the shunt size and tank loss relationship were determined via parametric analysis, and preferences were presented to the transformer manufacturer.  
M.C., Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Writing--original draft, Writing--review and editing. B.G. and I.H., Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Writing--original draft, Writing--review and editing. All authors have read and agreed to the published version of the manuscript. This research received no external funding.  
The study does not require ethical approval.  
The following author's main contribution.  
The authors would like to thank Best Transformer Incorporated Company for their assistance with the design parameters and post-production test results of the commercial transformer.  
Author [PERSON] was employed by Best Transformer Incorporated Company. The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.