Permanent Magnet Synchronous Machine

 

Description

This component models a permanent magnet synchronous machine.  In addition to the three stator windings, two additional, short-circuited windings are included to model the effect of electromagnetic damping.  The speed of the machine may be controlled directly by inputting a positive value into the W input of the machine, and Te is the output electrical torque.

 

The following equations describe the model:

 

 

Voltage Equations for the Main Stator Windings in the dq0 Reference Frame

Voltage Equations for the Short-Circuited Windings in the dq0 Reference Frame

Flux Linkage Equations of the Windings

 

Where,

 

Flux linkage of the shorted damper windings

 

External Connections

Multi-mass Disabled:

Multi-mass Enabled:

More:

Interfacing to the Multi-Mass Torsional Shaft

The Per-Unit System

Input Parameter

ConfigurationConfiguration

NOTE:  These parameters are used to calculate the base values for machine speed and torque.

 

 Name for Identification

 

Text

Constant

Identifying name.

 

 

 

 

 

 Data Format

 

Choice

 

Select Equivalent Circuit or Dynamic Model.

 

Equivalent Circuit data format represents the electrical characteristics of the machine using parameters like resistance (R) and reactance (X). Dynamic Model data format describes the time-varying behavior of the machine, including key aspects such as transient time constants and transient reactance.

 

 

 

 

 

Multimass Interface

 

Choice

 

Select Enable or Disable.  See Interfacing to the Multi-Mass Torsional Shaft for more details.

 

 

 

 

 

External Connection to Neutral

 

Choice

 

Select Enable or Disable. Selecting Enable will give external access to the neutral point of the stator windings.

 

 

 

 

 

 Rated MVA

 

REAL

Constant

Rated MVA of the machine [MVA]

 

 

 

 

 

Rated Voltage (L-L)

 

REAL

Constant

The rated line-to-line voltage of the machine [kV]

 

 

 

 

 

Rated Frequency

 

REAL

Constant

Rated electrical frequency of the machine [Hz]

 

 

Machine DataMachine Data

 

Magnetic Strength

 

REAL

Constant

The flux linkage due to the permanent magnet.  The SI unit for this parameter is kWb-turns.  The per-unit value is such that 1 pu magnetic strength will produce the rated terminal voltage when the machine is rotating at the rated speed and at no load [pu].

 

 

 

 

 

 Stator Winding Resistance

 

REAL

Constant

Stator winding resistance [pu]

 

 

 

 

 

Stator Leakage Reactance

 

REAL

Constant

Stator winding leakage reactance [pu]

 

 

 

 

 

D: Unsaturated Reactance [Xd]

 

REAL

Constant

Direct-axis reactance [pu]

 

 

 

 

 

Q: Unsaturated Reactance [Xq]

 

REAL

Constant

Quadrature-axis reactance [pu]

 

 

 

 

 

D: Damper Winding Resistance [Rkd]

 

REAL

Constant

Direct-axis damper winding resistance [pu]

 

 

 

 

 

D: Damper Winding Reactance [Xkd]

 

REAL

Constant

Direct-axis damper winding reactance [pu]

 

 

 

 

 

Q: Damper Winding Resistance [Rkq]

 

REAL

Constant

Quadrature-axis damper winding resistance [pu]

 

 

 

 

 

Q: Damper Winding Reactance [Xkq]

 

REAL

Constant

Quadrature-axis damper winding reactance [pu]

         

Angular Moment of Inertia (J=2H)

 

REAL

Constant

This is the total inertia of all masses rotating on the machine shaft (including mechanical loads). If you are provided with the value of the Inertia Constant (H), multiply the value by 2 to obtain the value of J in per unit. [s] or [MWs/MVA].

         

Mechanical Damping

 

REAL

Constant

Enter a value for mechanical damping to compensate for friction and windage loss [pu]

 

 

Internal OutputsInternal Outputs

 

 Rotor Position

 

Text

 

Position of the rotor d-axis with respect to the magnetic axis of the Phase A winding [rad]

 

 

 

 

 

 Mechanical Speed

 

Text

 

Mechanical speed [pu]

 

 

 

 

 

Electrical Torque

 

Text

 

Electrical torque [pu]