Summary of SVPWM Algorithm

Space Vector Modulation 3 phase Inverter Equations 𝑉𝑎 = 𝑉𝑑𝑐 (2𝑆1 − 𝑆2 − 𝑆3 ) 3 𝑉𝑏 = 𝑉𝑑𝑐 (2𝑆2 − 𝑆1 − 𝑆3 ) 3 𝑉𝑐 = 𝑉𝑑𝑐 (2𝑆3 − 𝑆2 − 𝑆1 ) 3 Conversion from 3 phase to 2 phase 𝑉𝛼 ൤𝑉 ൨= 𝛽 −1 ‫ۍ‬1 2 ‫ێ‬ ξ3 ‫ێ‬ 0 ‫ۏ‬ 2 −1 ‫ې‬ 2 ‫ۑ‬ −ξ3‫ۑ‬ 2 ‫ے‬ 𝑉𝑎 ൥𝑉𝑏 ൩ 𝑉𝑐 𝛼 = tan−1 ( 𝑉𝛽 𝑉𝛼 ) 𝑉𝑟 = √(𝑉𝛼 )2 + (𝑉𝛽 )2 Time Computation Formula 𝑇𝑎 = 𝑇𝑏 = 2 𝑇𝑝𝑒𝑟𝑖𝑜𝑑 ξ3 𝑉𝑑𝑐 2 𝑇𝑝𝑒𝑟𝑖𝑜𝑑 ξ3 𝑉𝑑𝑐 𝑉𝑟 sin⁡( 𝑉𝑟 𝑠𝑖𝑛⁡( 𝛼 − 𝑇0 = 𝑇𝑝𝑒𝑟𝑖𝑜𝑑 - 𝑇𝑎 - 𝑇𝑏 Modulation index 𝑚𝑖 = 𝐾×𝜋 −𝛼) 3 𝑉𝑟,𝑝ℎ𝑎𝑠𝑒 0.636 𝑉𝑑𝑐 (𝐾 − 1) × 𝜋 ) 3 K : Sector Number Switching Time Table Section 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 1 𝑻𝒔𝟏 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑻𝒔𝟐 𝑺𝟑 𝑻𝟎 + 𝑻𝟐 𝟐 𝑻𝟎 𝟐 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 2 𝑻𝟎 + 𝑻𝟏 𝟐 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑻𝟎 𝟐 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 3 𝑻𝟎 𝟐 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑻𝟎 + 𝑻𝟐 𝟐 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 4 𝑻𝟎 𝟐 𝑻𝟎 + 𝑻𝟏 𝟐 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 5 𝑻𝟎 + 𝑻𝟐 𝟐 𝑻𝟎 𝟐 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑆𝑒𝑐𝑡𝑖𝑜𝑛 6 𝑻𝒑𝒆𝒓𝒊𝒐𝒅 − 𝑻𝟎 𝟐 𝑻𝟎 𝟐 𝑻𝟎 + 𝑻𝟏 𝟐

Summary of SVPWM Algorithm

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Summary of SVPWM Algorithm

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