How to set the fractional power control compensation factor in LTE ?

The uplink power control procedure in Long Term Evolution (LTE) cellular networks is made of an open-loop part and a closed loop part. In this paper, we focus on the former and study the compensation factor of the related Fractional Power Control (FPC) scheme. In particular, we propose a first analytical approach in order to derive approximate equations for the Signal to Interference plus Noise Ratio (SINR) at a given distance of the eNode-B, the average SINR, and the average cell spectral efficiency. This method avoids extensive and time-consuming simulations. From derived expressions, we are able to find the optimal compensation factor, and to study the impact of various network and environment parameters on the system performance.