High performance decoupled active and reactive power control for three-phase grid-tied inverters using model predictive control

Protection and Control of Modern Power Systems

Table 1 Switching States of a 3-Φ VSI Inverter

Switching State S₁ S₃ S₅	Vector Notation U_x	Space Vector Ū_S		α-β Components U_α and U_β
Switching State S₁ S₃ S₅	Vector Notation U_x	Mag.	Angle	U_α	U_β
0 0 0	U₀	0	N/A	0	0
1 0 0	U₁	2/3V_DC	0	2/3V_DC	0
1 1 0	U₂	2/3V_DC	π/3	1/3V_DC	1/√3V_DC
0 1 0	U₃	2/3V_DC	2π/3	−1/3V_DC	1/√3V_DC
0 1 1	U₄	2/3V_DC	π	- 2/3V_DC	0
0 0 1	U₅	2/3V_DC	4π/3	−1/3V_DC	−1/√3V_DC
1 0 1	U₆	2/3V_DC	5π/3	1/3V_DC	−1/√3V_DC
1 1 1	U₇	0	N/A	0	0