AsynchronousMachineEquivalentCircuit

_The electrical equations of all variations of the asynchronous model are based on the AsynchronousEquivalentCircuit diagram for the direct- and quadrature- axes, with two equivalent rotor windings in each axis. _

Equations for conversion between equivalent circuit and time constant reactance forms:

Xs = Xm + Xl

X' = Xl + Xm x Xlr1 / (Xm + Xlr1)

X'' = Xl + Xm x Xlr1 x Xlr2 / (Xm x Xlr1 + Xm x Xlr2 + Xlr1 x Xlr2)

T'o = (Xm + Xlr1) / (omega₀ x Rr1)

T''o = (Xm x Xlr1 + Xm x Xlr2 + Xlr1 x Xlr2) / (omega₀ x Rr2 x (Xm + Xlr1)

Same equations using CIM attributes from AsynchronousMachineTimeConstantReactance class on left of "=" and AsynchronousMachineEquivalentCircuit class on right (except as noted):

xs = xm + RotatingMachineDynamics.statorLeakageReactance

xp = RotatingMachineDynamics.statorLeakageReactance + xm x xlr1 / (xm + xlr1)

xpp = RotatingMachineDynamics.statorLeakageReactance + xm x xlr1 x xlr2 / (xm x xlr1 + xm x xlr2 + xlr1 x xlr2)

tpo = (xm + xlr1) / (2 x pi x nominal frequency x rr1)

tppo = (xm x xlr1 + xm x xlr2 + xlr1 x xlr2) / (2 x pi x nominal frequency x rr2 x (xm + xlr1).

URI: cim:AsynchronousMachineEquivalentCircuit
Type: Class

 classDiagram
    class AsynchronousMachineEquivalentCircuit
    click AsynchronousMachineEquivalentCircuit href "../AsynchronousMachineEquivalentCircuit"
      AsynchronousMachineDynamics <|-- AsynchronousMachineEquivalentCircuit
        click AsynchronousMachineDynamics href "../AsynchronousMachineDynamics"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineDynamics.AsynchronousMachine

          AsynchronousMachineEquivalentCircuit --> AsynchronousMachine : AsynchronousMachineDynamics.AsynchronousMachine
          click AsynchronousMachine href "../AsynchronousMachine"

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.damping

      AsynchronousMachineEquivalentCircuit : IdentifiedObject.description

      AsynchronousMachineEquivalentCircuit : DynamicsFunctionBlock.enabled

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.inertia

          AsynchronousMachineEquivalentCircuit --> Seconds : RotatingMachineDynamics.inertia
          click Seconds href "../Seconds"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineDynamics.MechanicalLoadDynamics

          AsynchronousMachineEquivalentCircuit --> MechanicalLoadDynamics : AsynchronousMachineDynamics.MechanicalLoadDynamics
          click MechanicalLoadDynamics href "../MechanicalLoadDynamics"

      AsynchronousMachineEquivalentCircuit : IdentifiedObject.mRID

      AsynchronousMachineEquivalentCircuit : IdentifiedObject.name

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineEquivalentCircuit.rr1

          AsynchronousMachineEquivalentCircuit --> PU : AsynchronousMachineEquivalentCircuit.rr1
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineEquivalentCircuit.rr2

          AsynchronousMachineEquivalentCircuit --> PU : AsynchronousMachineEquivalentCircuit.rr2
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.saturationFactor

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.saturationFactor120

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.statorLeakageReactance

          AsynchronousMachineEquivalentCircuit --> PU : RotatingMachineDynamics.statorLeakageReactance
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : RotatingMachineDynamics.statorResistance

          AsynchronousMachineEquivalentCircuit --> PU : RotatingMachineDynamics.statorResistance
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineDynamics.TurbineGovernorDynamics

          AsynchronousMachineEquivalentCircuit --> TurbineGovernorDynamics : AsynchronousMachineDynamics.TurbineGovernorDynamics
          click TurbineGovernorDynamics href "../TurbineGovernorDynamics"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineDynamics.WindTurbineType1or2Dynamics

          AsynchronousMachineEquivalentCircuit --> WindTurbineType1or2Dynamics : AsynchronousMachineDynamics.WindTurbineType1or2Dynamics
          click WindTurbineType1or2Dynamics href "../WindTurbineType1or2Dynamics"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineEquivalentCircuit.xlr1

          AsynchronousMachineEquivalentCircuit --> PU : AsynchronousMachineEquivalentCircuit.xlr1
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineEquivalentCircuit.xlr2

          AsynchronousMachineEquivalentCircuit --> PU : AsynchronousMachineEquivalentCircuit.xlr2
          click PU href "../PU"

      AsynchronousMachineEquivalentCircuit : AsynchronousMachineEquivalentCircuit.xm

          AsynchronousMachineEquivalentCircuit --> PU : AsynchronousMachineEquivalentCircuit.xm
          click PU href "../PU"

Inheritance

• IdentifiedObject
  • DynamicsFunctionBlock
    • RotatingMachineDynamics
      • AsynchronousMachineDynamics
        • AsynchronousMachineEquivalentCircuit

Attributes

Name	URI	Cardinality and Range	Description	Inheritance
xm	cim:AsynchronousMachineEquivalentCircuit.xm	1 PU	Magnetizing reactance	direct
rr1	cim:AsynchronousMachineEquivalentCircuit.rr1	1 PU	Damper 1 winding resistance	direct
xlr1	cim:AsynchronousMachineEquivalentCircuit.xlr1	1 PU	Damper 1 winding leakage reactance	direct
rr2	cim:AsynchronousMachineEquivalentCircuit.rr2	1 PU	Damper 2 winding resistance	direct
xlr2	cim:AsynchronousMachineEquivalentCircuit.xlr2	1 PU	Damper 2 winding leakage reactance	direct
AsynchronousMachine	cim:AsynchronousMachineDynamics.AsynchronousMachine	1 AsynchronousMachine	Asynchronous machine to which this asynchronous machine dynamics model applie...	AsynchronousMachineDynamics
TurbineGovernorDynamics	cim:AsynchronousMachineDynamics.TurbineGovernorDynamics	0..1 TurbineGovernorDynamics	Turbine-governor model associated with this asynchronous machine model	AsynchronousMachineDynamics
MechanicalLoadDynamics	cim:AsynchronousMachineDynamics.MechanicalLoadDynamics	0..1 MechanicalLoadDynamics	Mechanical load model associated with this asynchronous machine model	AsynchronousMachineDynamics
WindTurbineType1or2Dynamics	cim:AsynchronousMachineDynamics.WindTurbineType1or2Dynamics	0..1 WindTurbineType1or2Dynamics	Wind generator type 1 or type 2 model associated with this asynchronous machi...	AsynchronousMachineDynamics
damping	cim:RotatingMachineDynamics.damping	1 float	Damping torque coefficient (D) (>= 0)	RotatingMachineDynamics
inertia	cim:RotatingMachineDynamics.inertia	1 Seconds	Inertia constant of generator or motor and mechanical load (H) (> 0...	RotatingMachineDynamics
saturationFactor	cim:RotatingMachineDynamics.saturationFactor	0..1 float	Saturation factor at rated terminal voltage (S1) (>= 0)	RotatingMachineDynamics
saturationFactor120	cim:RotatingMachineDynamics.saturationFactor120	0..1 float	Saturation factor at 120% of rated terminal voltage (S12) (>= Rotat...	RotatingMachineDynamics
statorLeakageReactance	cim:RotatingMachineDynamics.statorLeakageReactance	1 PU	Stator leakage reactance (Xl) (>= 0)	RotatingMachineDynamics
statorResistance	cim:RotatingMachineDynamics.statorResistance	1 PU	Stator (armature) resistance (Rs) (>= 0)	RotatingMachineDynamics
enabled	cim:DynamicsFunctionBlock.enabled	1 boolean	Function block used indicator	DynamicsFunctionBlock
description	cim:IdentifiedObject.description	0..1 string	The description is a free human readable text describing or naming the object	IdentifiedObject
mRID	cim:IdentifiedObject.mRID	1 string	Master resource identifier issued by a model authority	IdentifiedObject
name	cim:IdentifiedObject.name	0..1 string	The name is any free human readable and possibly non unique text naming the o...	IdentifiedObject

Identifier and Mapping Information

Schema Source

• from schema: http://iec.ch/TC57/ns/CIM/Dynamics-EU#Package_DynamicsProfile

Mappings

Mapping Type	Mapped Value
self	cim:AsynchronousMachineEquivalentCircuit
native	this:AsynchronousMachineEquivalentCircuit