Symmetrical Components Calculator

Symmetrical Components Transformation: ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ The operator a = 1∠120° = -0.5 + j0.866 ABC to Sequence: ┌ ┐ ┌ ┐ ┌ ┐ │ V₀ │ │ 1 1 1 │ │ Vₐ │ │ V₁ │ = │ 1 a a²│ × │ Vᵦ │ × (1/3) │ V₂ │ │ 1 a² a │ │ Vᶜ │ └ ┘ └ ┘ └ ┘ Sequence to ABC: ┌ ┐ ┌ ┐ ┌ ┐ │ Vₐ │ │ 1 1 1 │ │ V₀ │ │ Vᵦ │ = │ 1 a² a │ × │ V₁ │ │ Vᶜ │ │ 1 a a²│ │ V₂ │ └ ┘ └ ┘ └ ┘ Where: a = e^(j2π/3) = 1∠120° = -0.5 + j0.866 a² = e^(j4π/3) = 1∠240° = -0.5 - j0.866 a³ = 1 Physical Interpretation: ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ • V₁ (Positive): Balanced set rotating ABC • V₂ (Negative): Balanced set rotating ACB • V₀ (Zero): Three equal phasors in phase