Locking Range Derivations for Injection-Locked Class-E Oscillator Applying Phase Reduction Theory

This paper presents a numerical locking-range prediction for the injection-locked class-E oscillator using the phase reduction theory (PRT). By applying this method to the injection-locked class-E oscillator designs, which is in the field of electrical engineering, the locking ranges of the oscillator on any injection-signal waveform can be efficiently obtained. The locking ranges obtained from the proposed method quantitatively agreed with those obtained from the simulations and circuit experiments, showing the validity and effectiveness of the locking-range derivation method based on PRT.