## 3 Results  
This section analyzes the effects that harmonic currents caused on the load losses of the three-phase transformer of an actual residential distribution network in a village near Valencia (Spain). For this, the IEEE Standard C57.110-2018 was applied, as well as the different short-circuit resistances developed in Section 2 and the harmonic loss factor of each phase (\(HLF_{z}\%\)). The transformer is Dyn11, from the manufacturer Ormazabal, and its characteristics are summarized in Table 1. The values of the currents necessary for the analysis were obtained from the records made every hour on 10 November 2022, by a Fluke 435 Series II analyzer arranged at the secondary terminals. In this section, only the recordings made by the Fluke 435 Series II analyzer at 6:55 a.m. and 8:55 p.m. were used for the study. The first record (6:55 a.m.) corresponded to a time of low consumption, and the second record (8:55 p.m.) was carried out during a time of high consumption. The RMS values and distortion rates of the currents of each phase of the secondary currents (\(THD_{z}\%\)) recorded by the Fluke analyzer are summarized in Table 2 for those two hourly periods. The RMS values of the secondary phase currents are indicated in more detail for the first 25 harmonics of these currents in Table 3. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Power (kVA)**} & \multirow{2}{*}{**Secondary Rated Current (A)**} & \multirow{2}{*}{**Transformation Ratio (\(r_{n}\))**} & \multirow{2}{*}{\(P_{DCN}\)} & \multirow{2}{*}{\(P_{ECN}\)} & \multirow{2}{*}{\(P_{OSLN}\)} \\  & & & **(W)** & **(W)** & **(W)** \\ \hline
630 & 866 & 24,000/420 V & 5900 & 200 & 400 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Ratings of the 630 kVA distribution transformer provided by the manufacturer Ormazabal. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{} & \multicolumn{2}{c}{**6:55 a.m. (Low Consumption)**} & \multicolumn{2}{c}{**8:55 p.m. (High Consumption)**} \\ \cline{2-7}  & **A-Phase** & **B-Phase** & **C-Phase** & **A-Phase** & **B-Phase** & **C-Phase** \\ \hline RMS phase current & \multirow{2}{*}{115.453} & \multirow{2}{*}{154.435} & \multirow{2}{*}{117.289} & \multirow{2}{*}{389.70} & \multirow{2}{*}{374.56} & \multirow{2}{*}{400.95} \\ (A) & & & & & & \\ \hline \hline \(THD_{z}\%\) & 34.64 & 27.75 & 36.47 & 12.28 & 17.24 & 14.13 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: RMS values (\(I_{sx}\)) and total harmonic distortion (\(THD_{z}\%\)) of the phase secondary currents recorded by the Fluke 435 Series II analyzer on two consumption periods on 10 November 2022. As the RMS values of the phase currents (\(I_{zz}\)) indicate the homes' consumptions, it can be deduced from Table 2 that the records made at 6:55 a.m. corresponded to a period of low consumption, and those obtained at 8:55 p.m. corresponded to high consumption. Therefore, based on the values of the distortion rates of the secondary currents (\(THD_{2}\)%) in Table 2, the loads fed through the transformer were strongly distorted in low consumption periods and weakly distorted in periods of high consumption. Load Losses According to the Institute of Electric and Electronics Engineers (IEEE) Standard C57.110-2018  
Table 4 shows the values of the total load losses (\(P_{cc}\)) and in each phase (\(P_{cc,z}\)) of the transformer, according to IEEE Standard C57.110-2018, calculated using Equations (7) and (8), respectively, based on the RMS values of the harmonic currents recorded in the secondary resistance of the transformer at 6:55 a.m. and 8:55 p.m. (Table 3). Likewise, Table 4 summarizes the values of the total load losses and of each phase for the harmonics of fundamental frequency (\(P_{cc,1}\) and \(P_{cc,1z}\)) and non-fundamental frequency (\(P_{cc,H}\) and \(P_{cc,Hz}\)), obtained using Equations (7) and (8) with \(h=1\) and \(h\
eq 1\), respectively.