Reactor modelling with saturation characteristic and inter-phase magnetic coupling

Abstract

This paper develops a model for nonlinear three-phase inductors with magnetic coupling between phases along with saturation characteristics for each phase. It can be used in modelling reactors and/or transformers for resonance and ferroresonance studies in non-symmetrical operation of power systems. While three phase modelling of reactors and transformers in non-symmetrical analyses play vital role; currently, time domain simulation packages provide either “detailed saturation model for three phase inductors without magnetic coupling” or “three phase inductors with magnetic coupling without saturation characteristics”. The proposed model adds a set of controllable linear coupled inductance, which dynamically changes the inductance matrix to make core saturation characteristics for eight possible saturation statuses (including single- and double- and triple-phase saturated states). This model is implemented simply and accurately by using several linear coupled devices and user defined modelling capability in EMTPRV program.