## 2 Circuit Topology and Analysis of MCR-WPT System
The matched load resistor needs to have the following basic characteristics: firstly, since the WPT system operates in a high-frequency state, the selected load resistor must be a high-frequency non-inductive resistor to eliminate the interference of resistance and inductance on the system; secondly, the load resistor dissipates energy in the form of heat, so it needs to have strong thermal stability and heat dissipation capability; finally, when selecting the load resistor, the maximum power that the resistor can withstand should be considered for experimental safety and a certain threshold should be left. Based on the above conditions, a load resistor value of 20 \(\Omega\) was finally selected. In practical applications of wireless power transmission for electric vehicles or AUVs, the misalignment of orientation is mostly concentrated within the range of 0\({}^{\circ}\) to 90\({}^{\circ}\). Therefore, we have chosen the azimuth angle range of 0\({}^{\circ}\) to 90\({}^{\circ}\) as our focus to address this practical application issue. Figure 4: Experimental setup for high-temperature superconducting MCR-WPT system. Figure 3: Experiment principle structure block diagram of magnetic resonance wireless power transfer system. The coil's specific parameters and system parameters for the WPT experimental setup are presented in Table 1.  
Figure 5 shows the schematic diagram of the azimuth misalignment of the MCR-WPT system coils. In the experiment, the HTS transmitting resonant coil was immersed in a cooling container (liquid nitrogen, 77 K), while the copper receiving resonant coil was placed in a room temperature environment (300 K). Figure 5 illustrates the experimental process. Firstly, we investigated the azimuth deviation characteristics of the system under the condition of no misalignment. We fixed the distance between the TX coil and RX coil at 10 cm, and then we rotated the RX coil from 0\({}^{\circ}\) to 90\({}^{\circ}\) in the XY plane, recording the voltage-current values and relevant parameters of the receiving loop under various azimuth deviation angles. Then, we further explored the azimuth deviation characteristics under the condition of lateral misalignment. We rotated the RX coil from 0\({}^{\circ}\) to 90\({}^{\circ}\) in the XY plane under the conditions where the RX coil was laterally misaligned at fixed distances of 4 cm and 8 cm, respectively, and recorded the relevant parameters of the system under each experimental condition. \begin{table}
\begin{tabular}{c c} \hline
**Parameter** & **Value** \\ \hline Wire type & YBCO tape \\ Circuit topology & S–S (series–series) \\ Critical current of the coil Ic (A) 77 K & 130 \\ Load resistor RL (\(\Omega\)) & 20 \\ AC Power frequency (kHz) & 220.5 \\ Input voltage (V) & 25 \\ Number of turns & 11 \\ Size of the bobbin (cm) & 16 \\ HTS coil & Width \(\times\) thickness (mm \(\times\) mm) & 4 \(\times\) 0.1 \\ Coil Self-inductance (\(\mu\)H) & 51.9 \\ Operating temperature (K) & 77 \\ Q-factor & 148.3 \\ Primary capacitor (\(\mu\)F) & 0.01 \\ Number of turns & 11 \\ Size of the bobbin (cm) & 16 \\ Width \(\times\) thickness (mm \(\times\) mm) & 4 \(\times\) 0.1 \\ Coil self-inductance (\(\mu\)H) & 51.6 \\ Operating temperature (K) & 300 \\ Q-factor & 48.6 \\ Secondary capacitor (\(\mu\)F) & 0.01 \\ \hline \end{tabular}
\end{table} 
Table 1: Parameters for WPT experimental system and coils. Figure 5: Schematic diagram of the misalignment of the system coil azimuth. (**a**) Coaxial deflection (**b**) Lateral misalignment deflection.