.Spot.UsersGuide.Introduction.Initialisation

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Transient and Steady-State Initialisation of three-phase models

Periodically driven systems tend towards a periodic solution after some time, if the systems are damped. For certain applications it is desirable or even necessary, to start the model already in a periodic state.

The standard steady-state initial equation of an inductive and a capacitive device (for simplicity with constant coefficient matrices L and C) in an arbitrary reference frame (defined by theta[2]) is given by the dual equations

  der(i) = omega[1]*J*i;
  der(v) = omega[1]*J*v;

where

  omega[1] = der(theta[1])

      [ 0, -1,  1]
  J = [ 1,  0, -1] /sqrt(3)  (abc-representation)
      [-1,  1,  0]

      [ 0, -1,  0]
  J = [ 1,  0,  0]           (dqo-representation)
      [ 0,  0,  0]

Each model-component contains these initial equations in conditional form. The desired case can be selected by an appropriate choice of the parameter 'ini' in 'system'. When choosing transient initialisation, no specific initial equations are defined.

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