Abstract—There are many technical problems in Low- Voltage (LV) distribution systems caused by grid infrastructure and system operators. Phase unbalance is one of the major problems that can result in increasing the voltage drop, energy loss, heating the equipment, and reducing system capacity. Due to load variation, this becomes a difficult task to balance the loads in the three phases of LV distribution systems throughout the time. In this paper, to find the optimal solution for phase balancing in the system, Mixed Integer Linear Programming (MILP) and load profile as the necessary data are applied for the proposed method. After implementing the technique based on the load profile, a new topology with a minimum unbalanced factor is obtained. Then, Photovoltaic Hosting Capacity (PVHC) is performed and validated with the improved topology. The stochastic method is applied to assess the PVHC with limiting factors such as overvoltage, line capacity and reverse power. The simulations are conducted with an interval of 10 min and include variable PV profiles, location, irradiance, and load profile. The load profile is based on survey data and generated by the bottomup algorithm. Next, Volt-Var Control (VVC) and Battery Energy Storage (BES) are also investigated to enhance the PVHC. To validate the proposed method, the modified IEEE-116 test feeder is selected as the case study. The simulations show that comprising improved phase balancing, VVC, and BES operation can dramatically increase PV penetration without grid violations.