The basic theories, the characteristics and the woking process of the extended interaction oscillator(EIO) were introduced. A type of EIO was simulated using PIC. The effect of the cathode voltage, the radius of the electron beam, the number and the period length of the resonant cavity on the output power, frequency and conversion efficiency were analyzed. The simulation results shown that when the working voltage is 28.5~30 kV, the resonant cavity starts to oscillate. When the input cathode voltage is 29 kV, the current is 10 A, and when the radius of electronic beam is 1.4 mm and the number of period is 4, the output power is 128 kW, the frequency is 12.9 GHz, and the efficiency is up to 37.93%.