Power System Analysis Using Space–Vector Transformation

José M. Aller, Alexander Bueno, and Tomás Pagá

Abstract: In this paper, the space–vector transformation used in machine vector control is applied to power system analysis. The proposed method is used to model electric machines, power electronic converters, transformers, and transmission lines and to analyze power sources and loads with different connections (delta and wye). This method can also be applied to analyze steady-state (or transient phenomena) and unbalanced sources, including harmonics. Models obtained with this method are as simple as those of the per-phase approach. With the space–vector transformation, instantaneous active and reactive power concepts can be generalized, and new power system control strategies can be developed when power electronic converters are used. Steady-state, transient behavior, and harmonic analyses examples and applications are presented to illustrate the performance and advantages of the proposed method. This method can be extended to  unbalanced systems (e.g., unsymmetric faults) using instantaneous symmetrical components in polyphase balanced circuits.

Index Terms: AC machines, circuit simulation, induction machines, power electronics, power system harmonics, power system simulation, rectifiers, time domain analysis, transformers, transmission line matrix methods.