This paper analyses the logic pulse width modulation (LPWM) control method of single-phase half bridge DC-AC converter, and the on-off state of IGBT under the circumstance of inductive load when the load current are positive and negative, all together, equivalent circuits are given respectively. This method is according to the load current which is positive or negative, and then open or close the corresponding IGBT trigger pulse. In addition, based on the LPWM control method of the single-phase half bridge DC-AC converter, this paper analyses LPWM control method of the three-phase bridge DC-AC converter and SVPWM control method. The advantage of LPWM control method is reduce half of the switching loss, we add dead zone only when the current pass through the zero point, without doubt, it"s improve the switch frequency and enhance the system"s safety. Hereby using the Matlab software to simulate the LPWM control method proved its validity.