The network parameters of the distribution system play a very important role for the network operator in performing a timely and satisfactory operation. Therefore, they require to be updated on a time-to-time basis otherwise it may lead to no. The network parameters of the distribution system play a very important role for the network operator in performing a timely and satisfactory operation. Therefore, they require to be updated on a time-to-time basis otherwise it may lead to non-optimal operation of the distribution system. To deal with this issue, the reformulation strategy and the fast iterative shrinkage-thresholding approach (FISTA) algorithm are designed herein to accomplish the network identification objectives using distribution phasor measurement units (D-PMUs) measurements. The presented algorithm has capabilities to determine the manifold tasks such as the identification of structure of the distribution system, variation in network configuration, branch parameters (e.g., conductance and susceptance), and changes in branch parameters. Simulatio. ••The presented algorithm is applied to fulfill the network identification objectives.••Quantitative and qualitative analysis is performed to verify the efficacy of the work.••The algorithm is validated on the benchmark IEEE 13-bus and 34-bus distribution systems.••In contrast to state-of-the-art frameworks, the presented work provides better perfor. Distribution gridDistribution systemFault detectionLine outageD-PMU distribution phasor measurement unitDSO distribution system operatorFISTA fast iterative shrinkage-thresholding approachLasso least absolute shrinkage and selection operatorOpenDSS Open Distribution System SimulatorThe distribution grid plays an important role amid distribution substations and end-users. To optimize the system operation, distribution system operators (DSOs) rely on precise network information,,. However, network operators may not always contain up-to-date information, thereby, it creates a hindrance to achieving optimal operation of the system. Henceforth, it is necessary to perform network identification in order to carry out several necessary tasks,,. The topology and line parameters (i.e., conductance and susceptance) are two essential elements of the detailed system configuration. These details can be utilized to perform essential tasks such as state estimation, commissioning, controlling, expansion of the system, etc. On the same horizon, the topology configuration.