Efficient harmonic approach linearisation of interactions between AC and DC systems using harmonic multiport network matrices

This paper describes a general frequency domain technique to study harmonic interactions in a three-phase AC/DC system directly in phase domain. The methodology is based on the harmonic multi-port network concept, expressed in terms of an ABCD parameter matrix which links voltage and current harmonics of different orders on both sides of the converter. Since the commutation angles are unknown, the harmonic interactions are computed by a sequential solution of the AC/DC system state variables, related by the ABCD matrix, and the updating of the commutation periods. A set of analytical equations has been derived to compute commutation times taking place in the converter. Test results are presented which demonstrate the effectiveness of the proposed methodology to assess harmonic interactions on unbalanced operating conditions.