Theory

General

• The assets manager: from objects to matrices
  • Structure
    • MultiCircuit
    • NumericalCircuit
    • CalculationInputs
• Universal Branch Model
  • Temperature correction
  • Embedded Tap changer
• Transformer definition from SC test values
  • Inverse definition of SC values from π model

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 and
  • 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
• Linear time-series optimization considering hydro plants
  • 1. Fluid models
    • Node
    • Path
    • Turbine
    • Pump
    • P2X
  • 2. Optimization adaptation
    • 2.1 Objective function
    • 2.2 Balance constraint
    • 2.3 Output results
    • Node
    • Path
    • Injection (turbine, pump, P2X)
  • 3. Practical example
    • Model initialization
    • Add fluid side
    • Add remaining electrical side
    • Run optimization
    • Results

Short Circuit

• 3-Phase Short Circuit
  • Multiple bus failures

Linear factors

Investments Evaluation

• Investments evaluation
  • Introduction
  • Formulation
  • Testing on Grid
    • Random evaluations process
    • Multi-objective optimization
  • Testing on ZDT3
  • Conclusions