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Mathematic for Electrical Power System Analysis

The development of this library is strictly an academic exercise in the field of power system analysis. It is based on instructions in various engineering textbooks:

  • Linear Algebra
  • AC/DC Circuit Analysis
  • Power System Analysis

So far, the library includes the following functionalities:

  • Vector mathematic
  • Matrix Algebra
  • Calculation with voltage, current, power, and impedance
  • Calculation in phasor (complex) values
  • Calculation in Per-Unit system
  • Voltage and current relationship in three-phase AC system
  • Power flow analysis
    • Gauss-Seidel
    • Newton-Raphson (NR)
    • NR Decoupled
    • NR Fast-Decoupled
    • NR DC-Like
  • Short-circuit analysis
    • Build Z impedance matrix
    • Balanced three-phase fault calculation
    • Unbalanced fault calculation using symmetrical components
      • Single-line-to-ground (SLG)
      • Line-to-Line (LL)
      • Double-line-to-ground (DLG)
      • Three-phase-to-ground