A study of nonlinear harmonic interaction between a single phase line-commutated converter and a power system

This paper develops a harmonic coupling matrix for a single phase, line commutated power converter. This matrix illustrates the coupling between the power convertor voltage and current harmonics. The authors show how this coupling matrix can be incorporated into a power system and how the system harmonics can be accurately calculated. In addition, this paper provides an example of a power system interacting with a single phase power convertor. This example system exhibits highly nonlinear and unexpected behavior which can neither be explained nor predicted by a classical solution method. In particular, there may be two steady state solutions and/or no solutions over regions for which the classical method predicts both existence and uniqueness of solutions.>