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M. Hartmann, H. Ertl, J.W. Kolar:
"Current Control of Three-Phase Rectifier Systems Using Three Independent Current Controllers";
IEEE Transactions on Power Electronics, 28 (2013), 8; S. 3988 - 4000.

Three-phase rectifier systems without connection of
the neutral wire are characterized by the coupling of the phase input
currents. Considering these couplings requires a transformation
of the system equations into a static αβ-frame or into the rotating
dq-reference frame where instead of the three coupled phase
currents two independent current components are controlled. In
this paper, it is shown that, despite of the existing cross-couplings,
three independent phase current controllers can be used to control
the system. Thereto, the cross coupling elements of the system
transfer matrix have to fulfill some requirementswhich are derived
using the Gershgorin theorem. The three-phaseΔ-switch rectifier
circuit is used for analysis and a detailed model of the rectifier system
is derived where the cross couplings are visible. The model is
subsequently used to evaluate the cross couplings and three independent
current controllers are designed. Simulation and experimental
results verify the control approach using three independent
current controller for three-phase rectifier systems.

http://publik.tuwien.ac.at/files/PubDat_224501.pdf