Space vector applications in power systems

The spatial vector transformation, as used in machine vector control, is applied to power system analysis. The proposed methodology is applied to power electronics converters, transformers and transmission lines, as well as to power sources and loads with different connections (delta-wye). This method can be applied to steady-state, transient, unbalanced sources and harmonic analysis. Models obtained using this method are as simple as the per-phase schematic approach. The instantaneous active and reactive power concepts can be expanded and generalized, and new power system control strategies can be developed when power electronics converters are used. Steady-state, transient behavior and harmonic analysis examples and applications using spatial vector theory are presented in order to illustrate the methodology´s performance and its advantages. An extension of this method can be applied to faulted systems (unbalanced) using instantaneous symmetric components in poly-phase balanced circuits