## 4 Sensitivity Analysis
### Discussion
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline  & & & \multicolumn{8}{c}{**Boost Topology**} \\ \hline  & & & \multicolumn{8}{c}{Case4} \\  & \(R_{DS}\) & \(C_{OSS_{x}}\) & \(C_{P_{x}}\), & \(C_{S_{x}}\) & \(R_{Nu}\) & \(L_{M}\) & \(R_{LP}\) & \(R_{LS}\) & \(L_{P_{x}}\) & \(L_{S_{x}}\) & \(R_{D}\) & \(V_{\gamma}\) & \(R_{LF}\) & \(R_{CF}\) \\
25 kHz & & & & & & & & & & & & & & \\
50 kHz & & & & & & & & & & & & & \\
75 kHz & & & & & & & & & & & & & \\ \hline  & & & & & & & & & & & & & \\ \hline  & & & & & & & & & & & & &Finally, the effect on the steady-state response is determined by the voltage drop in \(R_{DS}\), which reduces the effective input voltage at the primary of the transformer. This has a negative effect on the voltage induced in the secondary windings and therefore on the steady-state output voltage value of the converter. This effect is more pronounced the higher the operating current of the transistor, i.e., the higher the rated operating power of the converter. These effects can be seen in the results obtained for both topologies, being more prominent for the boost topology, as it operates with higher current in the primary circuit (see errors for \(R_{DS}\) in Figures 4 and 5 and Tables 5 and 6). Although \(C_{OSSx}\) can reach relatively high values compared to the leakage capacitances of the transformer primary windings, it is true that there is a direct relationship between its value and the operating power of the switching device: the higher the working power, the higher the output capacitance (see Tables 1-4). Although this may a priori be a drawback, this is an advantage since for high-power applications their operating frequencies are usually relatively low and makes their effect on the converter dynamics negligible (see errors for \(C_{OSSx}\) in Figures 4 and 5 and Tables 5 and 6). In the case of the rectifier diode, its internal resistance and threshold voltage influence the steady-state response of the converter, since these non-idealities are reflected as voltage drops (fixed or variable) as a function of the transformer secondary current (see errors for \(R_{D}\) and \(V_{\gamma}\) in Figures 4 and 5 and Tables 5 and 6). Therefore, its effect is more pronounced in cases where the secondary current is higher. This explains why the effect of \(R_{D}\) and \(V_{\gamma}\) is greater in the buck topology than in the boost, as well as for the high-power cases, since a voltage drop causes a considerable steady-state error in the output variable, considering the percentage ratio with respect to the nominal output voltage of the converter. Similar to the effect that \(R_{DS}\) has on the dynamics of the transformer primary circuit, \(R_{D}\) together with \(R_{LS}\) has an effect on the dynamics of the output low-pass filter energyisation process. This is deduced from the analysis of the RLC circuit generated in the transformer secondary by \(R_{D}\), \(R_{LS}\), \(L_{F}\) and \(C_{F}\) (see Figure 2). In view of the above, it is the ratio between \(R_{D}\) and \(R_{LS}\) which determines their effect on the dynamic behaviour of the converter. An example of this can be seen in the dynamic response for the buck topology cases (Figure 4), where \(R_{D}\), several orders higher than \(R_{LS}\) (see Tables 1-4), imposes the dynamics of the output LC filter and has a more noticeable effect on the dynamic behaviour of the converter (see the errors for \(R_{D}\) in Figures 4 and 5 and Tables 5 and 6). Finally, the effect of the non-idealities associated with the LC output filter will be considered. The non-idealities associated with \(R_{LF}\) and \(R_{CF}\) have a negative impact on the dynamic and steady-state behaviour of the converter. With respect to the dynamic response, both \(R_{LF}\) and \(R_{CF}\) influence the dynamics of the energisation process of the low-pass filter inductor and capacitor, respectively.