A converter having a negative DC terminal and a positive DC terminal; at least three AC terminals, each AC terminal being arranged for an associated AC current to flow through the terminal, a converter bridge with at least three bridge legs, each bridge leg being associated with one of the at least three AC terminals and being able to connect the associated AC terminal to the negative DC terminal or the positive DC terminal; and a current measurement circuit having a current measurement element, the current measurement circuit being configured to guide either none or one or more of the AC currents flowing through one of the at least three AC terminals through the current measurement element.