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Reduced Reference Frame Transform: Deconstructing Three-Phase Four-Wire Systems
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DOI：10.1109/ACCESS.2020.3012510.png)
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Abstract
En 中文
This paper proposes a new reference frame, namely Reduced Reference Frame (RRF), specially suited for unbalanced three-phase four-wire systems which improves the performance of the classical Fortescue, Clarke and Park transformations. The RRF transfomation allows to represent any unbalanced three-phase sinusoidal magnitude with just two components even if the zero-sequence component is present. For doing so, the RRF transformation takes into account that the abc space-vector trajectory of the transformed three-phase sinusoidal magnitude is always within a plane. The geometric properties of this trajectory are considered for outlining a general classification of the transformation depending on the input voltages and an adequate reference frame within the plane. Then, a step-by-step procedure for computing the transformation matrix is detailed. Once the voltages and currents are transformed into the RRF, it is proposed a power theory which allows to compute the instantaneous active and reactive powers. The paper includes two simulations and an experimental validation through a real-time application to highlight the benefits of the proposal. The paper closes with the main conclusions and some future research lines where this transformation can be applied.
Keywords:
Transforms
Trajectory
Reactive power
Computational modeling
Licenses
Phase locked loops
Algebra
Coordinate transformation
reference frame
three-phase four-wire systems
unbalanced power systems
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