Protection and Control of Modern Power Systems

Table 5 Rules for selecting the optimal control voltage

From: Discrete space vector modulation and optimized switching sequence model predictive control for three-level voltage source inverters

The output voltage vector	boundaries		Duty cycle
The output voltage vector	A type	B type	d_ux	d_uy	d_uz
u_x	ΔL₁ ≤ − 3	ΔL₂ ≤ − 3	1	0	0
u_y	ΔL₃ ≥ 3	ΔL₃ ≤ − 3	0	1	0
u_z	ΔL₂ ≥ 3	ΔL₁ ≥ 3	0	0	1
u_v1	− 3 < ΔL₁ ≤ − 1 ΔL₂ ≤ 0 ΔL₃ ≤ 0	ΔL₁ ≤ 0 − 3 < ΔL₂ ≤ − 1 0 < ΔL₃	2/3	1/6	1/6
u_v2	ΔL₁ ≤ 0 ΔL₂ ≤ − 1 0 < ΔL₃	ΔL₁ ≤ − 1 ΔL₂ < 0 ΔL₃ ≤ 0	1/2	1/2	0
u_v3	ΔL₁ ≤ 0 0 < ΔL₂ ΔL₃ ≤ − 1	0 < ΔL₁ ΔL₂ ≤ 0 1 < ΔL₃	1/2	0	1/2
u_v4	− 1 < ΔL₁ < 1 − 1 < ΔL₂ < 1 − 1 < ΔL₃ < 1	− 1 < ΔL₁ < 1 − 1 < ΔL₂ < 1 − 1 < ΔL₃ ≤ 1	1/3	1/3	1/3
u_v5	0 < ΔL₁ ΔL₂ ≤ 0 1 ≤ ΔL₃ < 3	ΔL₁ ≤ 0 0 ≤ ΔL₂ − 3 ≤ ΔL₃ ≤ − 1	1/6	2/3	1/6
u_v6	0 < ΔL₁ 1 ≤ ΔL₂ < 3 ΔL₃ ≤ 0	1 ≤ ΔL₁ < 3 0 < ΔL₂ 0 < ΔL₃	1/6	1/6	2/3
u_v7	1 ≤ ΔL₁ 0 < ΔL₂ 0 < ΔL₃	0 < ΔL₁ 1 ≤ ΔL₂ ΔL₃ ≤ 0	0	1/2	1/2

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