The SS Buck-WPT system, comprised of a buck converter and a basic SS-type wireless power transfer circuit, has gained widespread adoption in inductive wireless power transmission due to its structural superiority, control methods, and effectiveness. However, this system fails to meet the responsiveness requirements of time-varying systems due to its poor dynamic characteristics. In practical applications, it exhibits significant overshoot and oscillation during startup, instability when subjected to varying load resistances, and sharp fluctuations in primary resonance current under light conditions. To address those dynamic challenges, this paper proposes a SS-type Buck-WPT system based on controllable inductance. Firstly, controllable inductance was thoroughly analyzed to understand the principle of adjustable inductance, and then modeled in COMSOL to verify the findings. Mathematical modeling analysis of the SS Buck-WPT system was conducted, with the system state space equation derived by considering the SS WPT system as the load of the buck converter. The system was described using two-dimensional phase trajectories to simplify the analysis. A phase trajectory operation law during start-up was proposed, and the pre-buck circuit was improved by replacing the conventional inductor with a controllable one, allowing for stable operation with minimal overshoot during startup. The PI algorithm was used to maintain constant current despite load changes, ensuring expected phase trajectory behavior and rapid return to steady-state operation with real-time control of inductance. Excessive primary resonant current was mitigated by cascading the controlled inductance with the SS in the primary circuit, adjusting the inductance automatically to keep current within permissible values. To validate the proposed method, a prototype was implemented in Simulink. Results show that this strategy significantly improves system dynamic performance and tolerance to varying loads compared to traditional methods.