modelSynchron3rdBase

Synchronous machine 3rd base, 3-phase dq0

Extends from SynTransform (Rotation transform dq).

Information

'Voltage behind synchronous reactance', simplified model of synchronous machine.
One winding in d-axis, q-axis, 0-axis.
See also equivalent circuit on 'Diagram layer' of Parameters.Synchron3rd !

  v, i:          stator-voltage and -current dq0 reference-system
  v_s, i_s:      stator-voltage and -current dq0 rotor-system

The model is valid for reference systems with arbitrary angular orientation theta[2].

Voltage of field-winding:

Machine- and excitation model must use the same value for the (unscaled) field voltage Vf_nom,
as the machine model is stator-scaled with

  Vf_nom = V_nom
i.e. choose for both values V_nom.

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)

Parameters

TypeNameDefaultDescription
Integerpp (from ACmachine)1pole-pair number
Dataparmachine parameters
Initialization
Types.DynamicsdynType (from ACmachine)system.dynTypetransient or steady-state model
PS.Currenti_start (from ACmachine)zeros(3)start value of current conductor
SI.Anglephi_el_start (from ACmachine)0initial rotor angle electric

Connectors

TypeNameDefaultDescription
Ports.ACdq0_pterm (from Port_p)positive terminal
Interfaces.Rotation_nairgap (from ACmachine)electro-mechanical connection
Interfaces.ThermalV_nheat (from ACmachine)heat source port {stator, rotor}

Components

TypeNameDefaultDescription
Topology_ptop (from YDport_p)
PS.Voltagev (from YDport_p)voltage conductor
PS.Currenti (from YDport_p)current conductor
PS.Voltagev_n (from YDport_p)voltage neutral
PS.Currenti_n (from YDport_p)top.i_ncurrent neutral to ground
SI.Anglephi_el (from ACmachine)rotor angle electric (syn: +pi/2)
SI.AngularVelocityw_el (from ACmachine)rotor angular velocity el
SI.Torquetau_el (from ACmachine)electromagnetic torque
PS.Voltagev_s (from SynTransform)stator voltage dq0 in rotor-system
PS.Currenti_s (from SynTransform)stator current dq0 in rotor-system

Contents

NameDescription
Datamachine parameters