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A new communication-aided high-speed single-phase reclosing algorithm is proposed in this paper for transposed transmission lines based on predicted and measured voltage of faulted phase. Analytical analysis based on the distributed line model is performed to derive an equation which can be used to predict the faulted phase voltage after arc extinction in case of transient faults. Error analysis is performed to determine the sensitivity of the predicted voltage to various sources of error. The performance of the proposed technique is verified for a 500-kV transmission line with and without shunt reactor and with different grounding options for several cases simulated in PSCAD/EMTDC which include detailed arc, voltage, and current transducer models and different possible errors in measurement and transmission-line parameters.