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This paper proposes a discrete Meyer wavelet transform (DMWT)-based evolving faults recognition system for the two-terminal series capacitor compensated transmission line (TTSCCTL). The particular region captured currents of the TTSCCTL are used to estimate the DMWT outputs. To authorize the performance of the DMWT, simulation studies have been done thus varying fault type, resistance, and switching time. The main advantage of DMWT is that it correctly recognizes all types of evolving faults in TTSCCTL by employing one-side fault current data only. It is also investigated that the proposed technique is robust to the deviation in the input fault parameters of TTSCCTL.