GridCal
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  • Theory behind GridCal
    • The assets manager: from objects to matrices
    • Universal Branch Model
    • Transformer definition from SC test values
    • Power Flow
      • Newton-Raphson
      • Levenberg-Marquardt
      • Fast Decoupled
      • DC approximation
      • Linear AC Power Flow
      • Holomorphic Embedding
      • Post Power Flow (Loading and Losses)
      • Continuation power flow
      • Distributed Slack
    • Optimal power flow
      • Linear optimal power flow
      • Linear DC optimal power flow time series
      • AC Linear optimal power flow time series
    • Short Circuit
      • 3-Phase Short Circuit
    • PTDF (Power Transmission Distribution Factors)
      • PTDF (Power Transmission Distribution Factors)
      • VTDF (Voltage Transmission Distribution Factors)
      • PTDF and VTDF times series
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Power Flow¶

The following subsections include theory about the power flow algorithms supported by GridCal. For control modes (both reactive power control and transformer OLTC control), refer to the Power Flow Driver API Reference.

  • Newton-Raphson
    • Canonical Newton-Raphson
    • Jacobian in power equations
    • Newton-Raphson-Iwamoto
    • Newton-Raphson Line Search
    • Newton-Raphson in Current Equations
  • Levenberg-Marquardt
  • Fast Decoupled
    • Finding B' and B''
    • The fast-decoupled algorithm
  • DC approximation
  • Linear AC Power Flow
  • Holomorphic Embedding
    • Concepts
    • Formulation
    • Implementation
      • Linear system
      • C=0
      • C=1
      • C>1
      • Finding the voltage
    • Padè approximation
  • Post Power Flow (Loading and Losses)
  • Continuation power flow
    • Predictor
    • Corrector
  • Distributed Slack

Optimal power flow¶

  • Linear optimal power flow
    • Objective function
    • Power injections
    • Nodal power balance
    • Branch loading restriction
  • Linear DC optimal power flow time series
    • Objective function
    • Power injections
    • Nodal power balance
    • Branch loading restriction
    • Battery discharge restrictions
  • AC Linear optimal power flow time series
    • Objective function
    • Power injections
    • Nodal power balance
    • Branch loading restriction
    • Battery discharge restrictions

Short Circuit¶

  • 3-Phase Short Circuit
    • Multiple bus failures

PTDF (Power Transmission Distribution Factors)¶

  • PTDF (Power Transmission Distribution Factors)
  • VTDF (Voltage Transmission Distribution Factors)
  • PTDF and VTDF times series
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