Induction Machine (2025)

 

Description

This component is a universal version of the induction machine model (first introduced in 2025), which can be used to model either a wound-rotor or a squirrel-cage induction machine. It also supports Type 40 format.


The induction machine can be operated in either speed control or torque control modes. Normally, the machine is started in speed control mode with the W input set to rated per-unit speed (say 0.98), and then switched over to torque control after the initial transients of the machine die out (i.e. reaches steady-state).  This component may also be used with the Multi-Mass Torsional Shaft Interface.

 

This component also includes a simplified interface to the input parameters, but the accuracy of the model is not changed.

 

More:

Interfacing to the Multi-Mass Torsional Shaft

Terminal Descriptions

Magnetising Saturation Curve

Leakage Saturation Curve

Wound Rotor Induction Motor

More on the Mechanical Equations

Input Parameters

General DataGeneral Data

NOTE:  The Base Impedance on the stator side is (Rated Voltage (L-L))2/(Rated Power).

 

 Motor Name

 

Text

 

Optional text parameter for identification of the component.






Graphics Display


Choice


Select 3-Phase View, Single Line View or Open Terminals.






Stator Winding Neutral Grounded


Choice


Select Yes or No. If No is selected, the neutral point will become available for external grounding connection.






Multi-Mass Interface


Choice


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






Data Format


Choice


Select from Stator and Rotor Parameters or Torque and Current Curve.


If Stator and Rotor Parameters is selected, the corresponding resistance and inductance values should be entered. 


If Torque and Current Curve is selected, the required data points for the Current-Slip and Torque-Slip curves should be provided. An optimization algorithm will then be applied to calculate the equivalent values for the machine's resistances and inductances. The optimization results can be generated as an output file for the user's reference.






Type (Wound Rotor or Squirrel Cage)


Choice


Select induction machine type from Wound Rotor or Squirrel Cage.






 External Connection to Rotor


Choice


Select Yes or No to enable or disable external rotor connections.


This input is enabled only if Type | Wound Rotor and Data Format | Stator and Rotor Parameters are both selected.






Rotor Squirrel Cages Exist


Choice


Select Yes or No.  


This input is enabled only if Type | Wound Rotor and Data Format | Stator and Rotor Parameters are both selected.






Number of Rotor Squirrel Cages


Choice


If Type | Wound Rotor and Data Format | Stator and Rotor Parameters are both selected, select from 1 to 3 rotor squirrel cages.  In addition to the wound rotor, the effects of any 'cages' in the rotor can be accounted for in this model.


If Type | Squirrel Cage and Data Format | Stator and Rotor Parameters are both selected, select 1 (single-cage machine) or 2 (double-cage machine).






Mutual Saturation


Choice


Select Enabled or Disabled.


Models the saturation on the main magnetic paths. See Magnetizing Saturation Curve for more details.






Leakage Saturation


Choice


If Type | Wound Rotor is selected, select Disabled, Enabled on Stator or Enabled on Both Stator and Wound Rotor.


If Type | Squirrel Cage is selected, select Enabled or Disabled.






Rated MVA


REAL

Constant

Enter the power rating of the machine [MVA].  


The Base Impedance on the stator side is (Rated Voltage (L-L))2/(Rated Power).






Rated Voltage

(L-L)


REAL

Constant

Enter the rated line-to-line terminal voltage [kV].  


The Base Impedance on the stator side is (Rated Voltage (L-L))2/(Rated Power).






Rated Voltage

Across Stator Winding


REAL

Constant

Enter rated voltage across stator winding [kV].


This input is enabled only if Graphics Display | Open terminals is selected.






Frequency


REAL

Constant

Enter the machine base angular frequency [Hz].






Stator / Rotor Turns Ratio


REAL

Constant

Enter the stator / rotor turns ratio obtained from an open circuit test.


This input is enabled only if Type | Wound Rotor and External Connection to Rotor | Yes are selected.






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].


This input is enabled only if Multimass Interface| No is selected.






Mechanical Damping


REAL

Constant

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


This input is enabled only if Multimass Interface| No is selected.

 

 

Stator and Rotor ParametersStator and Rotor Parameters

NOTE: The Base Impedance on the stator side is (Rated Voltage (L-L))2/(Rated Power).  Once converted to pu, the impedances will have the same value irrespective of if they are referred to the stator side, or the rotor side.

NOTE: This category is only enabled when Data Format | Stator and Rotor Parameters is selected.

 Magnetizing Inductance

 

REAL

Constant

Enter the machine magnetizing inductance [pu].






Stator Leakage Inductance

 

REAL

Constant

Enter the stator leakage inductance [pu].






Wound Rotor Leakage Inductance

 

REAL

Constant

Enter the wound rotor leakage inductance [pu].


This input is enabled only if Type | Wound Rotor is selected.






Rotor Mutual Inductance


REAL

Constant

Enter rotor mutual inductance [pu].


This input is enabled only if Type | Squirrel Cage is selected.






# Cage Leakage Inductance


REAL

Constant

Leakage inductances of the different cages [pu].  


This input is enabled only if both Type | Wound Rotor and Rotor Squirrel Cages Exist | Yes are selected.






Second Cage Leakage Inductance


REAL

Constant

Enter Second Cage Leakage Inductance [pu].


This input is enabled only if both Type | Squirrel Cage and Number of Rotor Squirrel Cages | are selected.






Mutual Inductance: Wound Rotor - Cage #


REAL

Constant

Enter the mutual inductance between the wound rotor and different cages.  


This input is enabled only if both Type | Wound Rotor and Rotor Squirrel Cages Exist | Yes are selected.






Stator Resistance


REAL

Constant

Enter the stator winding resistance [pu].






Mutual inductance: Cage # - Cage #


REAL

Constant

Enter the mutual inductance between the different cages.


This input is enabled only if both Type | Wound Rotor and Rotor Squirrel Cages Exist | Yes are selected.






Wound Rotor Resistance


REAL

Constant

Enter the wound rotor winding resistance [pu].


This input is enabled only if both Type | Wound Rotor is selected.






First Squirrel Cage Resistance


REAL

Constant

Enter the First Squirrel Cage Resistance [pu]. 


This input is enabled only if both Type | Squirrel Cage and Rotor Squirrel Cages Exist | Yes are selected.






# Squirrel Cage Resistance


REAL

Constant

Enter the rotor cage resistance of # cage. 


This input is enabled only if both Type | Wound Rotor and Rotor Squirrel Cages Exist | Yes are selected.






Second Squirrel Cage Resistance


REAL

Constant

Enter Second Squirrel Cage Resistance [pu].  


This input is enabled only if both Type | Squirrel Cage and Number of Rotor Squirrel Cages | are selected.

 

Torque and Current CurveTorque and Current Curve

NOTE:  This category is only enabled when Data Format | Torque and Current Curve is selected.

NOTE:  An optimization algorithm is used to calculate the optimal values of machine resistances and inductances that best match the required dynamic behavior.

 

Output Fit Results

 

Choice

 

Select from Yes or No.






Output File Name


Text


Provide a file name for the optimization results.


This input is enabled only if Output Fit Results | Yes is selected.






 Slip at Full Load


REAL

Constant

Enter Slip value of rated condition. Slip = (Synchronous speed – Rotor speed)/Synchronous speed).






 Power Factor


REAL

Constant

Enter Power Factor [pu]. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






 Efficiency

 

REAL

Constant

Enter machine efficiency [pu]. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Maximum Torque


REAL

Constant

Enter the maximum point of the full-load torque-speed curve. This data can be obtained from the Torque-Slip curve. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Starting Torque


REAL

Constant

Enter the measured full load torque when w=0 (slip=1). This data can be obtained from the Torque-Slip curve. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Rated Torque


REAL

Constant

Enter the measured rated full load torque. This data can be obtained from the Torque-Slip curve. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Starting Current


REAL

Constant

Enter the measured RMS current when w=0 (slip=1). This data can be obtained from the Current-Slip curve. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Rated Current


REAL

Constant

Enter measured rated full load RMS current. This data can be obtained from the Current-Slip curve. If the data is unavailable or this point is not required for the optimization, ensure that its weight is set to zero.






Maximum Iteration Number


REAL

Constant

Enter the maximum number of iterations for the optimization algorithm. The optimization process will stop when either the iteration limit is reached, or the mismatch is smaller than the Allowed Maximum Error.






Allowed Maximum Error


REAL

Constant

Enter the allowed maximum error of the objective function [pu]. If the mismatch between the calculated values and the inputted parameters is smaller than this value, the optimization will stop.






Weight of #


REAL

Literal

The weight of the corresponding term in the optimization objective function..

 

Mutual Saturation Curve (I, V)Mutual Saturation Curve (I, V)

NOTE:  These properties are only enabled if Mutual Saturation is set to Enabled.  See Magnetizing Saturation Curve for more details on setting these properties.


Number of Points Available


Choice


Select 3-10. Number of data points available.






 Magnetising Current Point 1


REAL

Constant

First current point of the magnetising curve [pu]






Magnetising Voltage Point 1


REAL

Constant

First voltage point of the magnetising curve [pu]






(Current, Voltage) Point #


REAL

Constant

Enter the remaining points for magnetising curve of the machine [pu]

 

Leakage Saturation Curve (I, V)Leakage Saturation Curve (I, V)

NOTE:  These properties are only enabled if Leakage Saturation is set to Enabled.  See Leakage Saturation Curve for more details on setting these properties.

 

Number of Points Available

 

Choice

 

Select 3-10. Number of data points available.






 Short Circuit Current Point 1

 

REAL

Constant

First current point of the leakage saturation curve [pu]






Short Circuit Voltage Point 1

 

REAL

Constant

First voltage point of the leakage saturation curve [pu]

 

 

 

 

 

(Current, Voltage) Point #

 

REAL

Constant

Enter the remaining points for leakage saturation curve of the machine [pu]

 

Internal Output VariablesInternal Output Variables

 

Mutual Saturation Factor (pu)

 

REAL

Output

Enter a name for the machine mutual saturation factor [pu]

 

 

 

 

 

Leakage Saturation Factor (pu)

 

REAL

Output

Enter a name for the machine leakage saturation factor [pu]

 

 

 

 

 

Mechanical Speed (pu)

 

REAL

Output

Enter a name for the machine mechanical speed [pu]

 

 

 

 

 

Electrical Torque (pu)

 

REAL

Output

Enter a name for electrical torque [pu]

 

 

 

 

 

Mechanical Torque (pu)

 

REAL

Output

Enter a name for mechanical torque [pu]

 

 

 

 

 

Rotor Position (rad)

 

REAL

Output

Enter a name for the rotor position angle [rad]