General model of synchronous machine.
Stator: one winding each in d-axis, q-axis, o-axis.
Rotor: n_d windings in d-axis (field f, (n_d-1) damper D1, ..), n_q windings in q-axis (damper Q1, ..).
See also equivalent circuit on 'Diagram layer' of
Parameters.Synchron !
v, i: stator-voltage and -current abc reference-system v_s, i_s: stator-voltage and -current dqo rotor-system v_rd, i_rd: rotor-voltage and -current d-axis rotor-system v_rq, i_rq: rotor-voltage and -current q-axis rotor-system
The model is valid for reference systems with arbitrary angular orientation theta[2].
Voltage of field-winding:
Machine- and excitation model should use the same value for the (unscaled) field voltage Vf_nom.
This value is calculated from If_nom, defined through V=V_nom at open terminal.
As the machine model is stator-scaled, the default values
If_nom = I_nom = S_nom/V_nom Vf_nom = V_nomare sufficient when unscaled values for the field-winding are not of interest.
The magnetic flux Psi_pm of the permanent magnet (if present) is defined by
Psi_pm = psi_pm*Psi_nom Psi_nom = V_nom/omega_nom = V_nom/(pp*w_nom)where psi_pm relates to the induced armature voltage v_op at open-terminal and omega_nom as
psi_pm = v_op/V_nom
The power angle is calculated if so desired. Note that for an inverter driven machine the power angle signal is oscillating with the source voltage.
powerAngle: difference (angle of rotor) - (angle of terminal_voltage) (> 0: generator, < 0: motor)