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This paper presents an improved steady state mathematical model for unified power flow controller (UPFC), which is necessary for the analysis of the steady state operation of this device embedded in a power system. The model is based on the concept of injected powers in which the operational losses can be taken into account. The model is quite suitable in load flow studies, since it accepts employing conventional techniques such as Newton-Raphson method and even commercial software. The model is verified through a number of simulation examples, carried out on IEEE 14-bus and IEEE 30-bus systems by commercial software in which the model is adapted by means of user-defined modeling technique. The results of load flow analysis show the effectiveness of the model. Also the effects of UPFC location on different power system parameters are entirely investigated.