Abstarct: Packed U-cell or PUC is an emerging multilevel inverter which is growing fast among the industries because of the simple structure, low components count and easily applicability of modulation techniques. Generating different output voltage levels, application of various modulation techniques, DC lixnk capacitor voltage balancing and generating an output voltage with fixed fundamental component in case of input DC sources variations are the main challenges associated with multilevel inverters and the PUC converter. To stabilize the output voltage, most studies focus on maintaining the output voltage by controlling or keeping fix the DC lixnk voltage, while the other methods try to control the output voltage by changing the modulation index. But there are few studied using just modulation technique to stabilize the output voltage. On the other hand, the modulation index limits their application range. In this thesis, different topologies of PUC inverter are reviewed and the capacitorless structures are selected to generate five, seven and nine levels of output voltages. Then producing different voltage levels and the relevant switching states are explained. The PUC topologies used in this study have the advantage of voltage boosting. Also, the boosting characteristics of the inverter is explained. A simple one-dimension vector modulation technique is implemented to stabilize the output voltage in this study and the state vectors and associated vector regions are described. The proposed modulation technique is able to stabilize the output voltage in case of input DC source variations without using any closed-loop controller or any change at inverter circuit and maintains the fundamental component at desired value. Besides, the proposed technique can produce any desirable reference voltage, if necessary. Furthermore, using the proposed modulation technique, it is not necessary to change or control the modulation index as in conventional sinusoidal modulation techniques. Also, the proposed method can remove the effect of voltage drops at the battery internal resistance in case of using nonideal batteries and this concept is studied for case of change at converter output current. Simulation results verify proper function of the proposed method to control the output voltage in all mentioned cases.