Distribution network reconfiguration has been used as a crucial technique to improve the efficiency of power distribution networks by reducing the line losses. However, the problem of reconfiguration is a complex combinatorial optimization problem due to the involvement of binary decision variable. In this paper, to address this complexity efficiently, the problem is approached through two modelling methods: firstly, as a mixed integer quadratic programming problem, and secondly, as a mixed integer conic programming model. The primary objective of the reconfiguration problem is to minimize the energy losses while simultaneously improving the voltage levels within the network, considering the fluctuations in power demand that occur on an hourly basis. The proposed models are verified on 33-node test system. A comparative analysis is given for the energy losses and voltage profiles before and after reconfiguration. This analysis offers insights into the potential benefits gained from the power distribution network reconfiguration.