In one aspect, a computer system for managing occurrences of data anomalies in a data stream is provided. The computer system includes a processor in communication with the data stream. The processor is programmed to receive a first data stream from a phasor measurement unit. The processor is also programmed to calculate at least one singular value associated with the first data stream. The processor is further programmed to detect a first data anomaly within the first data stream using the at least one singular value. The first data anomaly occurs during a first time segment. The processor is also programmed to indicate the first time segment as containing the first data anomaly.