MicrogridBusDQ

The bus model used for the microgrid found in Pogaku et al.[1] and Bidram et al.[2]

Parameters:

• \(R_N\) - Virtual Resistance

Variables (External):

• \(v_{D}\) - Bus voltage along direct axis

• \(v_{Q}\) - Bus voltage along quadrature axis

Contributions to external equations:

• \(\frac{-v_D}{R_N}\)

• \(\frac{-v_Q}{R_N}\)

There are no internal variables to this system. Only residuals to be added from existing externals. As \(R_N \rightarrow \infty\) then the bus represent Kirchhoff’s current law.

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[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.