## 6 Conclusions  
In this paper, we propose an analytical expression set to determine the maximum values of the currents and voltages in the ideal Class-E PA with FDI components. This set was validated by simulation with a good agreement between the simulated and predicted values. The MAPE of the estimation was 2.64% with a maximum error of 14.89%. The proposed set can be used to estimate with low error the specifications of the circuit components (commonly referred to as the maximum ratings of the manufacturer's datasheet) of the ideal PA. Furthermore, the approach proposed in this paper helps to involve these restrictions in an early stage of the design process when the ideal model accuracy is acceptable. This is one of the results of the first milestones reached under the framework of the research project entitled \"Class-E Amplifier with Gallium Nitride Transistors for WirelessPower Transfer Applications\". The estimation accuracy is high as long as the loaded quality factor is higher than 10, the duty cycle is in the range between 0.3 and 0.7, and the \(q\) value is in the range between 0.4 and 1.6. This accuracy range covers a large number of practical applications.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline
**Sweep** & **Amplifier IDs** & **Max.\% Er.** & **Min. \% Er.** & **MAPE** & **Std. Dev.** \\ \hline \(Q_{L}\) & 1, 2, 3, and 4 & 14.89 & 0.01 & 2.70 & 3.48 \\ \(D\) & 5, 6, 7, and 8 & 10.20 & 0.30 & 3.19 & 2.26 \\ \(q\) & 9, 10, 11, and 12 & 6.83 & 0.05 & 2.05 & 1.53 \\ \hline \end{tabular}
\end{table}
Table 7: Estimation error results.  
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline
**FoMs \textbackslash{}ID** & **1** & **2** & **3** & **4** & **5** & **6** & **7** & **8** & **9** & **10** & **11** & **12** \\ \hline \(P_{V_{DD}}\) & Sim. \({}^{a}\) & 2.00 & 2.02 & 2.04 & 2.08 & 2.04 & 2.04 & 2.03 & 2.05 & 2.03 & 2.03 & 2.02 & 2.03 \\ [W] & Th. \({}^{b}\) & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 \\ \hline \(P_{out}\) & Sim. & 2.00 & 2.02 & 2.04 & 2.08 & 2.04 & 2.04 & 2.03 & 2.05 & 2.03 & 2.03 & 2.02 & 2.03 \\ [W] & Th. & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 & 2.00 \\ \hline \(\eta\) [\%] & Sim. & 99.99 & 99.99 & 99.99 & 99.99 & 99.97 & 99.98 & 99.98 & 99.95 & 99.99 & 99.99 & 99.99 & 99.99 & 99.99 \\ \(\eta\) & Th. & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 & 100.00 \\ \hline \(HD2\) & Sim. & \(-47.12\) & \(-34.88\) & \(-28.78\) & \(-22.57\) & \(-31.41\) & \(-34.93\) & \(-32.35\) & \(-30.58\) & \(-31.70\) & \(-32.54\) & \(-34.21\) & \(-33.20\) \\ [dBc] & Th. & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) \\ \hline \(HD3\) & Sim. & \(-63.42\) & \(-51.12\) & \(-44.76\) & \(-38.03\) & \(-49.95\) & \(-56.12\) & \(-43.50\) & \(-38.43\) & \(-47.84\) & \(-48.72\) & \(-50.44\) & \(-49.25\) \\ [dBc] & Th. & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) & \(-\infty\) \\ \hline \(THD\) & Sim. & 0.45 & 1.83 & 3.69 & 7.56 & 2.71 & 1.80 & 2.51 & 3.24 & 2.64 & 2.39 & 1.97 & 2.22 \\ [\%] & Th. & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 & 0.00 \\ \hline \hline \end{tabular} \({}^{a}\) Simulated value. \({}^{b}\) Theoretical value.  
\end{table}
Table 8: Power and distortion Figures of Merit (FoM) of the designed amplifiers.