## Appendix B  
The Table A1 provides the values of the frequency constraints for the initial point (SQP) and the optimal solutions (for each algorithm).  
A simulation of the optimal solution during the 'post-processing' phase enables the visualization of the output voltage channel Vdc curve corresponding to each optimal solution, as follows:  
* Figure A1 illustrates the time-domain constraint associated with the initial point utilized for the SQP method;
* Figure A2 depicts the time-domain constraint for the optimal point derived from SQP employing exact gradients;
* Figure A3 showcases the time-domain constraint for the optimal point obtained through the finite difference method within the SQP framework;  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Harmonic Order (k)**} & \multirow{2}{*}{**Upper Bound (in \%)**} & \multirow{2}{*}{**Initial Point (SQP)**} & \multicolumn{2}{c}{**Optimal Point (SQP)**} & \multicolumn{1}{c}{**Optimal Point**} \\  & & & **Exact Gradients/Finite** & \multicolumn{1}{c}{**(Differential**} \\  & & & **Differences)** & **Evolution)** \\ \hline k = 2 & IHR\({}_{\text{k}}\) \(<\) 0.5 & 0.028 & 0.014/0.023 & 0.005 \\ k = 3 & IHR\({}_{\text{k}}\) \(<\) 2 & 0.62 & 0.075/0.35 & 0.077 \\ k = 4 & IHR\({}_{\text{k}}\) \(<\) 0.25 & 0.010 & 0.0014/0.011 & 0.0045 \\ k = 5 & IHR\({}_{\text{k}}\)\(<\) 8 & 0.79 & **6.94**/6.1 & **7.83** \\ k = 6 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0057 & 0.0059/0.007 & 0.0032 \\ k = 7 & IHR\({}_{\text{k}}\)\(<\) 3 & 2.80 & 2.80 /1.69 & **3.00** \\ k = 8 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0066 & 0.00064/0.0046 & 0.0015 \\ k = 9 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.15 & 0.069/0.169 & 0.056 \\ k = 10 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0025 & 0.0029/0.0051 & 0.0020 \\ k = 11 & IHR\({}_{\text{k}}\)\(<\) 10 & 0.44 & 2.23/1.10 & 2.45 \\ k = 12 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0033 & 0.0038/0.0034 & 0.0026 \\ k = 13 & IHR\({}_{\text{k}}\)\(<\) 8 & 0.78 & 1.19/0.46 & 1.52 \\ k = 14 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0031 & 0.0011/0.0010 & 0.0013 \\ k = 15 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.042 & 0.014/0.019 & 0.020 \\ k = 16 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0011 & 0.0014/0.0024 & 0.00039 \\ k = 17 & IHR\({}_{\text{k}}\)\(<\) 4 & 0.15 & 0.76/0.46 & 0.48 \\ k = 18 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0016 & 0.0020/0.0020 & 0.0012 \\ k = 19 & IHR\({}_{\text{k}}\)\(<\) 4 & 0.26 & 0.61/0.17 & 0.44 \\ k = 20 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.0018 & 0.0014/0.0012 & 0.00044 \\ k = 21 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.025 & 0.022/0.05 & 0.019 \\ k = 22 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00068 & 0.00015/0.002 & 0.00091 \\ k = 23 & IHR\({}_{\text{k}}\)\(<\) 3 & 0.12 & 0.31/0.25 & 0.49 \\ k = 24 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00070 & 0.0015/0.0016 & 0.0011 \\ k = 25 & IHR\({}_{\text{k}}\)\(<\) 3 & 0.12 & 0.21/0.061 & 0.38 \\ k = 26 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00088 & 0.00012/0.00039 & 0.00057 \\ k = 27 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.038 & 0.013/0.031 & 0.012 \\ k = 28 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00031 & 0.0012/0.0014 & 0.00033 \\ k = 29 & IHR\({}_{\text{k}}\)\(<\) 1.035 & 0.064 & 0.31/0.12 & 0.14 \\ k = 30 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00051 & 0.0012/0.0013 & 0.00051 \\ k = 31 & IHR\({}_{\text{k}}\)\(<\) 0.968 & 0.047 & 0.25/0.05 & 0.15 \\ k = 32 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00019 & 0.00093/0.00021 & 0.00044 \\ k = 33 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.038 & 0.0089/0.013 & 0.011 \\ k = 34 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.000683 & 0.00029/0.0011 & 0.00043 \\ k = 35 & IHR\({}_{\text{k}}\)\(<\) 0.857 & 0.043 & 0.083/0.098 & 0.19 \\ k = 36 & IHR\({}_{\text{k}}\)\(<\) 2 & 0.00077 & 0.00078/0.00083 & 0.00082 \\ k = 37 & IHR\({}_{\text{k}}\)\(<\) 0.811 & 0.052 & 0.100/0.014 & 0.15 \\ \hline \hline \end{tabular}
\end{table}
Table A1: Frequency-domain constraint values for the initial points and the optimal solutions.  
Figure 14 presents the time-domain constraint for the optimal point identified via differential evolution.