Modelica.Electrical.Machines.Sensors

Sensors for machine modelling

Information


This package contains sensors that are usefull when modelling machines.

Extends from Modelica.Icons.Library2 (Icon for library where additional icon elements shall be added).

Package Content

NameDescription
Modelica.Electrical.Machines.Sensors.VoltageQuasiRMSSensor VoltageQuasiRMSSensor Length of spcae phasor -> RMS voltage
Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensor CurrentQuasiRMSSensor Length of spcae phasor -> RMS current
Modelica.Electrical.Machines.Sensors.ElectricalPowerSensor ElectricalPowerSensor Instantaneous power from spcae phasors
Modelica.Electrical.Machines.Sensors.MechanicalPowerSensor MechanicalPowerSensor Mechanical power = torque x speed
Modelica.Electrical.Machines.Sensors.RotorDisplacementAngle RotorDisplacementAngle Rotor lagging angle


Modelica.Electrical.Machines.Sensors.VoltageQuasiRMSSensor Modelica.Electrical.Machines.Sensors.VoltageQuasiRMSSensor

Length of spcae phasor -> RMS voltage

Modelica.Electrical.Machines.Sensors.VoltageQuasiRMSSensor

Information


Measured 3-phase instantaneous voltages are transformed to the corresponding space phasor; 
output is length of the space phasor divided by sqrt(2), thus giving in sinusoidal stationary state RMS voltage.

Connectors

TypeNameDescription
output RealOutputV 
PositivePlugplug_p 
NegativePlugplug_n 

Modelica definition

model VoltageQuasiRMSSensor 
  "Length of spcae phasor -> RMS voltage"
  constant Integer m(final min=1) = 3 "Number of phases";
  Modelica.Blocks.Interfaces.RealOutput V;
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m);
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_n(final m=m);
  Modelica.Electrical.MultiPhase.Sensors.VoltageSensor VoltageSensor1(final m=m);
  Modelica.Blocks.Math.Gain Gain1(final k=1/sqrt(2));
  Machines.SpacePhasors.Blocks.ToSpacePhasor ToSpacePhasor1;
  Machines.SpacePhasors.Blocks.ToPolar ToPolar1;
equation 
  connect(plug_p, VoltageSensor1.plug_p);
  connect(VoltageSensor1.plug_n, plug_n);
  connect(VoltageSensor1.v, ToSpacePhasor1.u);
  connect(ToSpacePhasor1.y, ToPolar1.u);
  connect(ToPolar1.y[1], Gain1.u);
  connect(Gain1.y, V);
end VoltageQuasiRMSSensor;

Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensor Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensor

Length of spcae phasor -> RMS current

Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensor

Information


Measured 3-phase instantaneous currents are transformed to the corresponding space phasor; 
output is length of the space phasor divided by sqrt(2), thus giving in sinusoidal stationary state RMS current.

Connectors

TypeNameDescription
output RealOutputI 
PositivePlugplug_p 
NegativePlugplug_n 

Modelica definition

model CurrentQuasiRMSSensor 
  "Length of spcae phasor -> RMS current"
  constant Integer m(final min=1) = 3 "Number of phases";
  Modelica.Blocks.Interfaces.RealOutput I;
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m);
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_n(final m=m);
  Modelica.Electrical.MultiPhase.Sensors.CurrentSensor CurrentSensor1(final m=m);
  Modelica.Blocks.Math.Gain Gain1(final k=1/sqrt(2));
  Machines.SpacePhasors.Blocks.ToSpacePhasor ToSpacePhasor1;
  Machines.SpacePhasors.Blocks.ToPolar ToPolar1;
equation 
  connect(plug_p, CurrentSensor1.plug_p);
  connect(CurrentSensor1.plug_n, plug_n);
  connect(CurrentSensor1.i, ToSpacePhasor1.u);
  connect(ToSpacePhasor1.y, ToPolar1.u);
  connect(ToPolar1.y[1], Gain1.u);
  connect(Gain1.y,I);
end CurrentQuasiRMSSensor;

Modelica.Electrical.Machines.Sensors.ElectricalPowerSensor Modelica.Electrical.Machines.Sensors.ElectricalPowerSensor

Instantaneous power from spcae phasors

Modelica.Electrical.Machines.Sensors.ElectricalPowerSensor

Information


3-phase instantaneous voltages (plug_p - plug_nv) and currents (plug_p - plug_ni) are transformed to the corresponding space phasors, 
which are used to calculate power quantities:
P = instantaneous power, thus giving in stationary state active power.
Q = giving in stationary state reactive power.

Connectors

TypeNameDescription
output RealOutputP 
output RealOutputQ 
PositivePlugplug_p 
NegativePlugplug_ni 
NegativePlugplug_nv 

Modelica definition

model ElectricalPowerSensor "Instantaneous power from spcae phasors"
  constant Integer m(final min=1) = 3 "Number of phases";
  Modelica.Blocks.Interfaces.RealOutput P;
  Modelica.Blocks.Interfaces.RealOutput Q;
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m);
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_ni(final m=m);
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_nv(final m=m);

protected 
  Modelica.SIunits.Voltage v_[2];
  Modelica.SIunits.Current i_[2];
equation 
  plug_p.pin.v = plug_ni.pin.v;
  plug_p.pin.i + plug_ni.pin.i = zeros(m);
  plug_nv.pin.i = zeros(m);
  v_ = Machines.SpacePhasors.Functions.ToSpacePhasor(plug_p.pin.v - plug_nv.pin.v);
  i_ = Machines.SpacePhasors.Functions.ToSpacePhasor(plug_p.pin.i);
  2/3*P = +v_[1]*i_[1]+v_[2]*i_[2];
  2/3*Q = -v_[1]*i_[2]+v_[2]*i_[1];
end ElectricalPowerSensor;

Modelica.Electrical.Machines.Sensors.MechanicalPowerSensor Modelica.Electrical.Machines.Sensors.MechanicalPowerSensor

Mechanical power = torque x speed

Modelica.Electrical.Machines.Sensors.MechanicalPowerSensor

Information


Calculates (mechanical) power from torque times angular speed.

Extends from Modelica.Mechanics.Rotational.Interfaces.PartialTwoFlanges (Partial model for a component with two rotational 1-dim. shaft flanges).

Parameters

TypeNameDefaultDescription
BooleanuseSupportfalseuse support or fixed housing

Connectors

TypeNameDescription
Flange_aflange_aFlange of left shaft
Flange_bflange_bFlange of right shaft
output RealOutputP 
Flange_asupportsupport at which the reaction torque is acting

Modelica definition

model MechanicalPowerSensor "Mechanical power = torque x speed"
  extends Modelica.Mechanics.Rotational.Interfaces.PartialTwoFlanges;
  parameter Boolean useSupport=false "use support or fixed housing";
  Modelica.Blocks.Interfaces.RealOutput P;
  Modelica.Mechanics.Rotational.Sensors.TorqueSensor torqueSensor;
  Modelica.Blocks.Math.Product product;
  Modelica.Mechanics.Rotational.Sensors.RelSpeedSensor relSpeedSensor;
  Modelica.Mechanics.Rotational.Components.Fixed fixed if 
                                                        (not useSupport);
  Modelica.Mechanics.Rotational.Interfaces.Flange_a support if          useSupport 
    "support at which the reaction torque is acting";
equation 
  connect(flange_a, torqueSensor.flange_a);
  connect(torqueSensor.flange_b, flange_b);
  connect(product.y, P);
  connect(torqueSensor.tau, product.u2);
  connect(flange_a, relSpeedSensor.flange_b);
  connect(relSpeedSensor.w_rel, product.u1);
  connect(relSpeedSensor.flange_a, fixed.flange);
  connect(relSpeedSensor.flange_a, support);
end MechanicalPowerSensor;

Modelica.Electrical.Machines.Sensors.RotorDisplacementAngle Modelica.Electrical.Machines.Sensors.RotorDisplacementAngle

Rotor lagging angle

Modelica.Electrical.Machines.Sensors.RotorDisplacementAngle

Information


Calculates rotor lagging angle by measuring the stator phase voltages, transforming them to the correspondig space phasor in stator-fixed coordinate system, 
rotating the space phasor to the rotor-fixed coordinate system and calculating the angle of this space phasor.

The sensor's housing can be implicitely fixed (useSupport=false).
If the machine's stator also implicitely fixed (useSupport=false), the angle at the flange is equal to the angle of the machine's rotor against the stator.
Otherwise, the sensor's support has to be connected to the machine's support.

Parameters

TypeNameDefaultDescription
Integerp number of pole pairs
BooleanuseSupportfalseuse support or fixed housing

Connectors

TypeNameDescription
output RealOutputrotorDisplacementAngle 
PositivePlugplug_p 
NegativePlugplug_n 
Flange_aflange 
Flange_asupportsupport at which the reaction torque is acting

Modelica definition

model RotorDisplacementAngle "Rotor lagging angle"
  constant Integer m=3 "number of phases";
  parameter Integer p(min=1) "number of pole pairs";
  parameter Boolean useSupport=false "use support or fixed housing";
  Modelica.Blocks.Interfaces.RealOutput rotorDisplacementAngle;
  Modelica.Electrical.MultiPhase.Interfaces.PositivePlug plug_p(final m=m);
  Modelica.Electrical.MultiPhase.Interfaces.NegativePlug plug_n(final m=m);
  Modelica.Electrical.MultiPhase.Sensors.VoltageSensor VoltageSensor1(final m=m);
  Machines.SpacePhasors.Blocks.ToSpacePhasor ToSpacePhasorVS;
  Modelica.Mechanics.Rotational.Interfaces.Flange_a flange;
  Modelica.Mechanics.Rotational.Sensors.RelAngleSensor relativeAngleSensor;
  Modelica.Blocks.Sources.Constant constant_(final k=Modelica.Constants.pi/2);
  Modelica.Blocks.Math.Add add(final k2=1, final k1=p);
  Machines.SpacePhasors.Blocks.Rotator rotatorVS2R;
  Machines.SpacePhasors.Blocks.ToPolar ToPolarVSR;
  Modelica.Blocks.Routing.DeMultiplex2 deMultiplex2(final n1=1,
       final n2=1);
  Modelica.Mechanics.Rotational.Interfaces.Flange_a support if useSupport 
    "support at which the reaction torque is acting";
  Modelica.Mechanics.Rotational.Components.Fixed fixed if 
                                               (not useSupport);
equation 
  connect(constant_.y, add.u2);
  connect(add.y, rotatorVS2R.angle);
  connect(ToSpacePhasorVS.y, rotatorVS2R.u);
  connect(rotatorVS2R.y, ToPolarVSR.u);
  connect(ToPolarVSR.y, deMultiplex2.u);
  connect(plug_p, VoltageSensor1.plug_p);
  connect(plug_n, VoltageSensor1.plug_n);
  connect(VoltageSensor1.v, ToSpacePhasorVS.u);
  connect(deMultiplex2.y2[1], rotorDisplacementAngle);
  connect(relativeAngleSensor.phi_rel, add.u1);
  connect(relativeAngleSensor.flange_b, flange);
  connect(relativeAngleSensor.flange_a, support);
  connect(relativeAngleSensor.flange_a, fixed.flange);
end RotorDisplacementAngle;

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