High penetration of residential photovoltaic (PV) in low-voltage distribution networks (LVDN) makes the unbalance issue more sever due to the asymmetry of generation/load characteristic in different phases, and may lead to infeasible operation of the whole network. Phase switching device (PSD), which can switch the connected phase of a residential load as required, is viable and efficient equipment to help address this issue. This paper, based on three-phase power flow (TUPF) formulation, aims to investigate the benefit of PSD on improving the operation feasibility of LVDN. The linear model of TUPF with PSD is presented to effectively take the flexible device into account, which can be conveniently used to seek the PSD positions that lead to a viable operation strategy of the original problem when infeasibility is reported by the traditional iteration-based algorithm. Case study based on a practical LVDN in Australia demonstrates the efficacy of the proposed method.