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Dynamical models of wireless power transfer (WPT) systems are of primaryimportance for the dynamical behavior studies and controller design. However,the existing dynamical models usually suffer from high orders and complicatedforms due to the complex nature of the coupled resonances and switched-modepower converters in WPT systems. This letter finds that a well-tuned WPT systemcan be accurately described by a much simpler dynamical model. Specifically, atthe tuned condition, the existing dynamical model can be decomposed into twoparts. One is controllable and the other one is uncontrollable. The formershould be considered in the modeling while the latter can be ignored because italways exponentially converges to zero. For illustration, the recently proposedzero-voltage-switching full-bridge pulse-density modulation WPT system ismodeled as an example since such a system can efficiently operate at the tunedcondition with soft switching and control capabilities. The derived model wasverified in experiments by time-domain and frequency-domain responses.

A Simplified Dynamical Model for Tuned Wireless Power Transfer Systems