Three-Phase Source

A model for an ideal three-phase source is implemented in the motulator.grid.model.ThreePhaseSource class. Typically, this model is used to represent the grid voltage source. The voltage space vector is calculated as a combination of a positive-sequence component and (optionally) a negative-sequence components as

(1)\[\begin{split}\frac{\D\thetag}{\D t} &= \omegag \\ \egs &= e_\mathrm{g+}\e^{\jj(\thetag + \phi_+)} + e_\mathrm{g-}\e^{-\jj(\thetag + \phi_-)}\end{split}\]

where \(e_\mathrm{g+}\) and \(e_\mathrm{g-}\) are the magnitudes of the positive-sequence and negative-sequence components, respectively, and \(\phi_+\) and \(\phi_-\) are the positive-sequence and negative-sequence phase shifts, respectively. The angle \(\thetag\) is obtained by integrating the angular frequency \(\omegag\). All parameters can be given as time-varying functions to simulate various fault conditions.