Network reconfiguration is the process of changing the topology of distribution systems by altering theopen/closed status of switches. Because there are many candidate-switching combinations in the distri-bution system, network reconfiguration is a complicated combinatorial, non-differentiable constrainedoptimization problem. In addition, the radiality constraint typically increases the intricacy of the prob-lem. In this paper, to avoid create infeasible configuration, a new codification is proposed. The proposedcodification is computationally efficient and guarantees to generate only feasible radial topologies alltimes. Also, in this paper, a modified heuristic approach for optimal reconfiguration in radial distributionsystems is presented. Additionally, in order to economize voltage profile improvement, a number of newformulas have been represented. The effectiveness of the proposed method is demonstrated on balancedand unbalanced test distribution systems.