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

Protection and Control of Modern Power Systems

Table 4 The synthesis method of virtual vector

Virtual vector	Synthesis method	Virtual vector	Synthesis method
u_v	d₁u_s1 + d₂u_s2 + d₃u_m1	u_v4	\(\frac{1}{{3}}{\text{u}}_{\text{s1}}\text{+}\frac{1}{{3}}{\text{u}}_{\text{s2}}\text{+}\frac{1}{{3}}{\text{u}}_{\text{m1}}\)
u_v1	\(\frac{2}{{3}}{\text{u}}_{\text{s1}}\text{+}\frac{1}{{6}}{\text{u}}_{\text{s2}}\text{+}\frac{1}{{6}}{\text{u}}_{\text{m1}}\)	u_v5	\(\frac{1}{6}{{\text{u}}}_{\text{s1}}\text{+}\frac{2}{{3}}{\text{u}}_{\text{s2}}\text{+}\frac{1}{{6}}{\text{u}}_{\text{m1}}\)
u_v2	\(\frac{1}{{2}}{\text{u}}_{\text{s1}}\text{+}\frac{1}{{2}}{\text{u}}_{\text{s2}}\)	u_v6	\(\frac{1}{{6}}{\text{u}}_{\text{s1}}\text{+}\frac{1}{{6}}{\text{u}}_{\text{s2}}\text{+}\frac{2}{{3}}{\text{u}}_{\text{m1}}\)
u_v3	\(\frac{1}{{2}}{\text{u}}_{\text{s1}}\text{+}\frac{1}{{2}}{\text{u}}_{\text{m1}}\)	u_v7	\(\frac{1}{{2}}{\text{u}}_{\text{s2}}\text{+}\frac{1}{{2}}{\text{u}}_{\text{m1}}\)