A method for operating a line-side fundamental-frequency-clocked converter is disclosed. The converters has a bridge circuit with, for example three, upper and, for example three, lower semiconductor switches, which are connected to respective positive and negative terminals of a DC link circuit. Center taps of connected pairs of the upper and lower semiconductor switches are connected to the line voltage phases. Two upper or two lower semiconductor switches are simultaneously activated during fundamental frequency operation for a predetermined time period before or after a natural trigger instant of the semiconductor switches caused by a line voltage angle. An estimated line voltage angle for clocking the semiconductor switches is tracked based on two phase currents measured while the two upper or two lower semiconductor switches are simultaneously active.