Abstract:In this paper, the design procedure of a harmonic multiplying Gyro-TWT with three stage interaction circuits is presented. The starting oscillation condition of competing modes is studied with linear theory to select the working parameters for keeping the stability of working mode. The saturated output performance of the working mode is discussed by using a consistent non-linear theory. Based on large signal numerical analysis, a saturated peak power of 540kW with an efficiency of 21.6%, a gain of 58dB, and a 3dB bandwidth of 4.5% is predicted for the gyro-TWT driven by 100kV, 25A electron beam with a velocity ratio of 1.0 and velocity spread 5% at 34.6GHz.