## 3 DAB LCC Resonant Converter TPS Control Validation
### Experimental Results with/without Rectifier AC Load Resistance Feedback Control  
Figure 23 shows the experimental results of transmitter coil voltage (Vpri) and current (Ipr), and receiver coil voltage (Vsec) and current (Isec) for CV mode control at Vo = 10 V with R\({}_{\text{dc}}\) = 150 \(\Omega\) connected when rectifier R\({}_{\text{ac}}\) = 38 \(\Omega\) feedback control is disabled vs. enabled. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Test Cases**} & \multicolumn{4}{c}{**Vo = 10 V**, **R\({}_{\text{ac}}\) = 38 \(\Omega\)**} \\ \cline{2-5}  & \multicolumn{2}{c}{**R\({}_{\text{dc}}\) = 56 \(\Omega\)**} & \multicolumn{2}{c}{**R\({}_{\text{dc}}\) = 200 \(\Omega\)**} \\ \hline
**Inverter/Rectifier** & & & & \\
**AC Voltage and Current** & & & & \\ \hline Inverter RMS & & & & \\ voltage (V) & & & & \\ \hline Inverter RMS & & & & \\ voltage (V) & & & & \\ \hline Rectifier RMS & & & & \\ current (A) & & & & \\ \hline Rectifier RMS & & & & \\ current (A) & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 6: DAB Inverter/rectifier voltage/current for R\({}_{\text{dc}}\) =56 \(\Omega\) vs. R\({}_{\text{dc}}\) = 200 \(\Omega\). \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Test Cases**} & \multicolumn{4}{c}{**Vo = 10 V**, **R\({}_{\text{ac}}\) = 38 \(\Omega\)**} \\ \cline{2-5}  & \multicolumn{2}{c}{**R\({}_{\text{dc}}\) = 56 \(\Omega\)**} & \multicolumn{2}{c}{**R\({}_{\text{dc}}\) = 200 \(\Omega\)**} \\ \hline
**Inverter/Rectifier** & & & & \\
**AC Voltage and Current** & & & & \\ \hline Inverter RMS & & & & \\ voltage (V) & & & & \\ current (A) & & & & \\ \hline Rectifier RMS & & & & \\ current (A) & & & & \\ \hline Rectifier RMS & & & & \\ current (A) & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 7: DAB inverter/rectifier voltage/current for Vo = 10 V vs. Vo = 30 V.  
Figure 22: Inverter/rectifier AC voltage and current waveforms at Vo = 30 V, R\({}_{\text{ac}}\) = 38 \(\Omega\) with R\({}_{\text{dc}}\) = 56 \(\Omega\) connected. Figure 24 shows the experimental results of transmitter coil voltage (Vpri) and current (Ipri) and receiver coil voltage (Vsec) and current (Isec) for CV mode control at Vo = 40 V with R\({}_{\rm dc}\) = 150 \(\Omega\) connected when the rectifier R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control is disabled vs. enabled. Figure 23: Transmitter/receiver current/voltage for Vo = 10 V with R\({}_{\rm dc}\) = 150 \(\Omega\) connected when rectifier R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control is disabled vs. enabled. Figure 24: Transmitter/receiver coil current/voltage at Vo = 40 V with R\({}_{\rm dc}\) = 150 \(\Omega\) connected when rectifier R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control is disabled vs. enabled. Table 8 shows the measured transmitter/receiver winding voltage and current RMS values for R\({}_{\rm dc}\) = 150 \(\Omega\) when R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control of rectifier phase shift angle is disabled vs. enabled. The DAB converter operates at Vo = 10 V, 20 V, 30 V, 40 V. These results show that when R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control is enabled, the transmitter and receiver current are greatly reduced. Therefore, the transformer winding loss is also significantly reduced. Figure 25 shows the power efficiency measurement results with R\({}_{\rm ac}\) = 38 \(\Omega\) feedback control enabled (solid line) vs. with R\({}_{\rm ac}\) control disabled (\(\beta\)s = 0.5 and \(\beta\)s (deg) = 180\({}^{\circ}\), dashed line) when different values of R\({}_{\rm dc}\) are connected. The measurement is conducted at different DC output voltage (Vo) levels till PI control output is saturated at a maximum phase shift angle of \(\beta\)p (deg) = 180\({}^{\circ}\). The measurement results are plotted as output power vs. power transfer efficiency measured as the ratio of DC output power vs. DC input power.