# The Impact of Power Definitions on the Disaggregation of Home Loads for Smart Meter Measurements
## 4 Results
### Evaluation
\begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Actual Turned-on Appliances**} & \multicolumn{3}{c}{\(A_{\text{OAL}}\)} \\ \cline{2-4}  & _Active Power_ & _Budeanu’s_ & _Emanuel’s_ \\ \hline
4 LED + 1 MP + 1 Ref + 1 Toa + 1 Ove + 1 CM + 1 AC & _50\%_ & _71.4\%_ & _78.5\%_ \\ \hline
6 LED + 3 MP + 3 Lap + 1 LCD + 2 Flu + 1 DH + 1 MC + 2 AC + 1 VC & _64.2\%_ & _50\%_ & _64.2\%_ \\ \hline
10 LED + 3 MP + 1 Lap + 1 Ref + 1 Toa + 1 Oven + 2 Flu + 1 WM + 2 AC & _50\%_ & _50\%_ & _71.4\%_ \\ \hline
1 MO + 1 Flu + 10 LED + 1 WM + 2 AC & _35.7\%_ & _100\%_ & _100\%_ \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._ \begin{table}
\begin{tabular}{c c c} \hline \hline \multicolumn{3}{c}{_OMA_} \\ \hline _Active Power_ & _[PERSON]’s_ & _[PERSON]’s_ \\ \hline
7.6\% & 41.3\% & 59.8\% \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Appliance identification accuracy for the proposed methods. Regarding the OMA of the appliance disaggregation for all the aggregated load combinations, the obtained results can be seen in Table 5. The best OMA is still the one with [PERSON]'s aggregated power, with a value 54.3%. So, there was a small decrease in this metric when compared with the previous situation. However, with the algorithms with the active power and [PERSON]'s proposal, there is a severe reduction, namely from 7.6% to 2.2% and 41.3% to 19.3%. Additional tests were conducted with a higher grid voltage distortion of approximately 3.9%. Table 6 presents the appliance identification accuracy results for the three methods under this condition. As expected, the AOAL metric decreased for all methods. The active power-based method failed to achieve 100% accuracy in any combination, with most accuracies below 50%. [PERSON]'s power-based method achieved 100% accuracy in only one combination. In contrast, [PERSON]'s power-based method consistently outperformed the others, demonstrating higher immunity to increased grid voltage distortion. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multirow{2}{*}{**Actual Turned-On Appliances**} & \multicolumn{3}{c}{\(A_{OAL}\)} \\ \cline{2-4}  & _Active Power_ & _[PERSON]’s_ & _[PERSON]’s_ \\ \hline
8 LED + 1 Flu + 1 VC + 1 WM + 1 DH + & & \\
1 Toa + 1 CM + 1 Ove + 1 AC + 2 Lap + 3 MP & 50\% & 100\% & 100\% \\ \hline
7 LED + 1 MO + 1 MP + 2 Lap + 1 Fri + 1 Toa & 42.8\% & 64.2\% & 100\% \\ \hline
1 LED + 1 Flu + 1 VC + 1 WM + 1 DH + & & \\
1 Toa + 1 MO + 1 CM + 1 Ove + 1 AC + 2 Lap + 1 MP & 100\% & 100\% \\ \hline
8 LED + 1 MO + 2 Lap + 1 LCD + & 42.8\% & 100\% & 78.5\% \\
1 Toa + 1 DH & 50\% & 71.4\% & 100\% \\ \hline
1 LED + 1 VC + 1 WM + 1 DH + 1 MO + 1 Ove + 2 AC + 2 LCD + 2 Lap & 42.8\% & 50\% & 50\% \\ \hline
4 LED + 1 MP + 1 Ref + 1 Toa + 1 Ove + 1 CM + 1 AC & 35.7\% & 64.2\% & 78.5\% \\ \hline
6 LED + 3 MP + 3 Lap + 1 LCD + 2 Flu + 1 DH + 1 MC + 2 AC + 1 VC & 42.8\% & 50\% & 64.2\% \\ \hline
10 LED + 3 MP + 1 Lap + 1 Ref + 1 Toa + 1 Oven + 2 Flu + 1 WM + 2 AC & 35.7\% & 50\% & 57.1\% \\ \hline
1 MO + 1 Flu + 10 LED + 1 WM + 2 AC & 28.5\% & 78.5\% & 100\% \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Appliance identification accuracy for the proposed methods and for a grid voltage with 3% THD. \begin{table}
\begin{tabular}{c c c} \hline \hline \multicolumn{3}{c}{_OMA_} \\ \hline _Active Power_ & _[PERSON]’s_ & _[PERSON]’s_ \\ \hline
2.2\% & 19.3\% & 54.3\% \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Appliance identification accuracy for aggregated power loads and for a grid voltage with 3% THD. Table 7 presents the overall mean accuracy (OMA) for appliance disaggregation across all aggregated load combinations. With the increased voltage distortion, the OMA values decreased for all methods. However, [PERSON]'s aggregated power method exhibited a relatively small decline, maintaining its superiority. In contrast, the active power-based approach suffered a significant drop, with an OMA value approaching zero.