MicrogridLine

Source: GridKit/Model/PowerElectronics/MicrogridLine/README.md

The Line used for the Microgrid found in references 1 and 2.

Parameters:

  • \(R\) - Resistance

  • \(L\) - Inductance

Variables (External):

  • \(\omega_{ref}\) - Reference Rotor Angle

  • \(v_{D1}\) - Incoming Bus 1 Voltage (D)

  • \(v_{Q1}\) - Incoming Bus 1 Voltage (Q)

  • \(v_{D2}\) - Incoming Bus 2 Voltage (D)

  • \(v_{Q2}\) - Incoming Bus 2 Voltage (Q)

  • \(i_{D}\) - Line Current (D)

  • \(i_{Q}\) - Line Current (Q)

Equations (External, Residuals):

  • \(0\)    (Reference Rotor Residual)

  • \(-i_{D}\)    (Bus 1 Residuals)

  • \(-i_{Q}\)

  • \(i_{D}\)    (Bus 2 Residuals)

  • \(i_{Q}\)

Equations (Internal):

  • \(\frac{di_{D}}{dt} = -(\frac{R}{L}) i_{D} + \omega_{ref} i_{Q} + \frac{v_{D1} - v_{D2}}{L}\)

  • \(\frac{di_{Q}}{dt} = -(\frac{R}{L}) i_{Q} + \omega_{ref} i_{D} + \frac{v_{Q1} - v_{Q2}}{L}\)

  1. Pogaku, Nagaraju, Milan Prodanovic, and Timothy C. Green. “Modeling, analysis and testing of autonomous operation of an inverter-based microgrid.” IEEE Transactions on power electronics 22.2 (2007): 613-625.

  2. Bidram, Ali, Frank L. Lewis, and Ali Davoudi. “Distributed control systems for small-scale power networks: Using multiagent cooperative control theory.” IEEE Control systems magazine 34.6 (2014): 56-77.