## 4 Simulations Results  
In order to begin designing a transformer with the Area Elimination Technique, the boundaries for the design must be established first. In this research, the 3-Phase distribution transformer 8000 kVA, 50 Hz, 22 kV-3300/1905 V, Dyn11 vector group and percent impedance at 7.5 has been designed under IEC 60076 standards where the distances of high voltage to Yoke, low voltage to Yoke and phase to phase was defined in millimeters. The limitations of the design parameters are shown in Table 1.  
However, when increasing the number of turns of the secondary winding up from 30 turns to 38 turns, the conditions for the simulation were as follows:  
The constraint is the output function. No-load loss  
Load loss  
% Impedance  
The multidimensional variables used are:  
Y(1) is the secondary number of turns. Y(2) is the magnetic flux induction. Y(3) is the electrical length of winding. \begin{table}
\begin{tabular}{c c} \hline \hline
**Parameter** & **Unit** \\ \hline \(4\times 10^{2}\leq\text{kc}\leq 6\times 10^{2}\) & \(\text{mm}^{2}\cdot\text{J}^{-1/2}\) \\ \hline \(1.0\leq\text{B}\leq 1.75\) & T \\ \hline \(1.0\leq\text{Jp},\text{Js}\leq 3.5\) & A/mm\({}^{2}\) \\ \hline \%Z \(\leq 7.5\) & \% \\ \hline No-load loss \(\leq\) 9500 & Watt \\ \hline Load loss \(\leq\) 44,000 & Watt \\ \hline Gradient \(\leq 18\) & \({}^{\circ}\)C \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Parameter design constraints. Y(4) is the secondary current density. Y(5) is the primary current density. It was observed that the cost of the transformer decreased because the laminate iron core weight, oil weight and tank and fins weight was decreased. On the other hand, it was found that the weight of the secondary winding increased due to the number of turns that were increased. However, after careful consideration, it was found that the number of secondary windings of 38 turns led to lower costs. Table 2 shows the parameters of the distribution transformer using the Area Elimination Technique in the design. Therefore, the 38 turns of the secondary winding had to be calculated as the suitable value, again, which can be shown in Figure 2, and it was symbolized as 38*. Figure 2 shows the calculation results for finding suitable values:  
1. The number of rounds on the secondary side changed from the number of secondary windings from 38 to 38 turns, which it was Y (1) parameter. 2. The density of magnetic force, Y (2) was between 15,055 Gauss and 18,999 Gauss. 3. Height of the coil or Y (3) parameter was between 503.8 mm and 681.6 mm. \begin{table}
\begin{tabular}{c c} \hline
**Item** & **Value** \\ \hline Core cross section area & 1278.9 cm\({}^{2}\) \\ \hline Induction & 1.769 T \\ \hline Primary winding Current density & 2.737 A/mm\({}^{2}\) \\ \hline Secondary winding Current density & 2.737 A/mm\({}^{2}\) \\ \hline Core weight & 5880.5 kg \\ \hline Primary conductor weight & 1169.87 kg \\ \hline Secondary conductor weight & 838.17 kg \\ \hline Oil weight & 2914.6 kg \\ \hline Tank and radiator weight & 2281.9 kg \\ \hline No-load loss & 9056 W \\ \hline Copper loss in primary at 75 \({}^{\circ}\)C & 20,541 W \\ \hline Copper loss in secondary at 75 \({}^{\circ}\)C & 17,179 W \\ \hline Other loss & 4000 W \\ \hline Total load loss at 75 \({}^{\circ}\)C & 51,709 W \\ \hline \%Impedance & 7.42\% \\ \hline \end{tabular}
\end{table} 
Table 2: Design output. Figure 2: The calculation result for finding the suitable value. Y (4) parameter, which was the current density of the secondary side, was between 2.36 A/mm\({}^{2}\) and 3.19 A/mm\({}^{2}\). 5. The current density of the primary side of the transformer or Y (5) parameter when in simulation was between 2.33 A/mm\({}^{2}\) and 3.15 A/mm\({}^{2}\). The next step was the final adjustment for the optimization to be consistent with the production of the transformer, which was symbolized as 38**. Figures 3-8 show the required simulation results for the characterization analysis of the oil-immersed transformer obtained by the Area Elimination Method Design [23; 24; 25].