Table 1: Basic parameters of PWM methods.

Control (modulation) parameterConventional schemes of vector PWMProposed method of modulation

Operating and max parameterOperating & max voltage 𝑉 and 𝑉 𝑚 Operating & maximum fundamental frequency 𝐹 and 𝐹 𝑚

Modulation index 𝑚 𝑉 / 𝑉 𝑚 𝐹 / 𝐹 𝑚

Duration of subcycles 𝑇 𝜏

Center of the 𝑘 -signal 𝛼 𝑘 (angles/degr.) 𝜏 ( 𝑘 1 ) (sec)

Switch-on durations 𝑇 𝛼 𝑘 = 1 . 1 𝑚 𝑇 [ s i n ( 6 0 𝛼 𝑘 ) + s i n 𝛼 𝑘 ] Algebraic PWMTrigonometric PWM
𝑡 𝛼 𝑘 = 1 . 1 𝑚 𝑇 s i n 𝛼 𝑘 𝛽 𝑘 = 𝛽 1 [ 1 𝐴 × ( 𝑘 1 ) 𝜏 𝐹 𝐾 𝑂 𝜈 1 ] 𝛽 𝑘 = 𝛽 1 × c o s [ ( 𝑘 1 ) 𝜏 𝐾 𝑂 𝜈 1 ]
𝛾 𝑘 = 𝛽 𝑖 𝑘 + 1 [ 0 . 5 6 ( 𝑖 𝑘 ) 𝜏 𝐹 ] 𝐾 𝑂 𝜈 2 𝛾 𝑘 = 𝛽 𝑖 𝑘 + 1 [ 0 . 5 0 . 9 𝑚 ( 𝑖 𝑘 ) 𝜏 ] 𝐾 𝑂 𝜈 2
𝑡 𝑏 𝑘 = 1 . 1 𝑚 𝑇 × s i n ( 6 0 𝛼 𝑘 ) 𝛽 𝑘 𝛾 𝑘 𝛽 𝑘 𝛾 𝑘

Switch-off states (zero voltage) 𝑡 0 𝑘 = 𝑇 𝑡 𝛼 𝑘 𝑡 𝑏 𝑘 𝜆 𝑘 = 𝜏 𝛽 𝑘

Special parameters providing synchronization of the process of PWM 𝛽 = 𝛽 1 [ 1 𝐴 × ( 𝐾 1 ) 𝜏 𝐹 𝐾 𝑂 𝜈 1 ] 𝐾 𝑠 𝛽 = 𝛽 1 × c o s [ ( 𝑘 1 ) 𝜏 𝐾 𝑂 𝜈 1 ] 𝐾 𝑠
𝜆 = ( 𝜏 𝛽 ) × 𝐾 𝑂 𝜈 1 𝐾 𝑠 𝜆 = ( 𝜏 𝛽 ) × 𝐾 𝑂 𝜈 1 𝐾 𝑠