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refined the example to clarify the relationship between mechanical sh…
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…aft angle and phase shift of the induced voltage, adding a simple model of a hall sensor.
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@haa39214
haa39214 committed Apr 22, 2018
1 parent ccc0c23 commit b30e89e
Showing 1 changed file with 87 additions and 12 deletions.
99 changes: 87 additions & 12 deletions Modelica/Electrical/Machines.mo
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Original file line number Diff line number Diff line change
Expand Up @@ -2092,6 +2092,10 @@ and accelerating inertias. At time tStep a load step is applied.</p>
extends Modelica.Icons.Example;
import Modelica.Constants.pi;
constant Integer m=3 "Number of phases";
parameter
Modelica.Electrical.Machines.Utilities.ParameterRecords.SM_PermanentMagnetData
smpmData(useDamperCage=false)
annotation (Placement(transformation(extent={{-10,-40},{10,-20}})));
Modelica.Electrical.Machines.BasicMachines.SynchronousInductionMachines.SM_PermanentMagnet
smpm(
p=smpmData.p,
Expand Down Expand Up @@ -2130,17 +2134,21 @@ and accelerating inertias. At time tStep a load step is applied.</p>
extent={{-10,-10},{10,10}},
rotation=90,
origin={0,30})));
Modelica.Electrical.MultiPhase.Blocks.QuasiRMS quasiRMS(m=m)
annotation (Placement(transformation(extent={{12,70},{32,90}})));
Modelica.Electrical.Machines.SpacePhasors.Blocks.ToSpacePhasor toSpacePhasor(m=m)
annotation (Placement(transformation(extent={{10,40},{30,60}})));
parameter
Modelica.Electrical.Machines.Utilities.ParameterRecords.SM_PermanentMagnetData
smpmData(useDamperCage=false)
annotation (Placement(transformation(extent={{-10,-40},{10,-20}})));
SpacePhasors.Blocks.ToPolar toPolar
annotation (Placement(transformation(extent={{40,40},{60,60}})));
Blocks.Math.Gain toDeg(k=180/pi)
annotation (Placement(transformation(extent={{70,40},{90,60}})));
Sensors.HallSensor hallSensor(p=smpmData.p) annotation (Placement(
transformation(
extent={{10,-10},{-10,10}},
rotation=0,
origin={40,-30})));
Modelica.Mechanics.Rotational.Sources.ConstantSpeed constantSpeed(w_fixed=2*
pi*smpmData.fsNominal/smpmData.p)
annotation (Placement(transformation(extent={{40,-10},{20,10}})));
annotation (Placement(transformation(extent={{52,-10},{32,10}})));

equation
connect(terminalBox.plug_sn, smpm.plug_sn)
annotation (Line(points={{-6,10},{-6,10}}, color={0,0,255}));
Expand All @@ -2153,17 +2161,22 @@ and accelerating inertias. At time tStep a load step is applied.</p>
connect(potentialSensor.phi, toSpacePhasor.u) annotation (Line(points={{8.88178e-16,
41},{8.88178e-16,50},{8,50}}, color={0,0,127}));
connect(constantSpeed.flange, smpm.flange)
annotation (Line(points={{20,0},{10,0}}, color={0,0,0}));
connect(potentialSensor.phi, quasiRMS.u)
annotation (Line(points={{0,41},{0,80},{10,80}}, color={0,0,127}));
annotation ( experiment(StopTime=0.02,
annotation (Line(points={{32,0},{10,0}}, color={0,0,0}));
connect(smpm.flange, hallSensor.flange)
annotation (Line(points={{10,0},{20,0},{20,-30},{30,-30}},
color={0,0,0}));
connect(toSpacePhasor.y, toPolar.u)
annotation (Line(points={{31,50},{38,50}}, color={0,0,127}));
connect(toPolar.y[2], toDeg.u)
annotation (Line(points={{61,50},{68,50}}, color={0,0,127}));
annotation ( experiment(StopTime=0.04,
Interval=0.0001),
Documentation(info="<html>
<p>
Synchronous machine with permanent magnets at no-load, driven with constant nominal speed.
</p>
<p>
You may check the terminal voltage = VsOpenCircuit and the frequency = fsNominal.
You may check the terminal voltage = VsOpenCircuit (shown by the length of the space phasor) and the frequency = fsNominal.
</p>
</p>
Additionally, you may check the phase shift of the stator voltages with respect to the mechanical shaft angle:
Expand All @@ -2172,6 +2185,8 @@ Additionally, you may check the phase shift of the stator voltages with respect
<li>If the shaft angle starts at (pi + 2*pi/3)/p, the flux linkage through phase 2 is at the maximum and therefore this phase voltage starts at 0.</li>
<li>If the shaft angle starts at (pi + 4*pi/3)/p, the flux linkage through phase 3 is at the maximum and therefore this phase voltage starts at 0.</li>
</ul>
Note that the angle of the voltage space phasor is pi/2 behind the angle of the hall sensor,
i.e. after a rotation of the shaft by pi/2/p the flux linkage of phase 1 is zero and the induced voltage a maximum.
</p>
</html>"));
end SMPM_NoLoad;
Expand Down Expand Up @@ -11862,6 +11877,66 @@ Otherwise, the sensor's support has to be connected to the machine's support.
</p>
</html>"));
end RotorDisplacementAngle;

model HallSensor "Hall sensor"
import Modelica.Constants.pi;
extends
Modelica.Mechanics.Rotational.Interfaces.PartialElementaryOneFlangeAndSupport2;
parameter Integer p(final min=1, start=2) "Number of pole pairs";
parameter Modelica.SIunits.Angle phi0=-pi/p "Initial mechanical angle";
Modelica.Blocks.Interfaces.RealOutput y(
quantity="Angle",
final unit="rad",
displayUnit="deg") "\"Electrical angle\""
annotation (Placement(transformation(extent={{-100,-10},{-120,10}})));
equation
flange.tau=0;
y=rem((flange.phi - phi_support - phi0)*p, 2*pi);
annotation (
Icon(coordinateSystem(preserveAspectRatio=false), graphics={
Text(
extent={{-100,-60},{100,-80}},
lineColor={28,108,200},
textString="p=%p"),
Ellipse(extent={{-60,60},{60,-60}}, lineColor={28,108,200},
fillColor={215,215,215},
fillPattern=FillPattern.Solid),
Line(points={{0,0},{0,60}}, color={28,108,200}),
Line(points={{0,-30},{0,30}},color={28,108,200},
origin={-26,15},
rotation=60),
Line(points={{0,-30},{0,30}},color={28,108,200},
origin={26,15},
rotation=-60),
Line(points={{0,-60},{0,0}}, color={28,108,200}),
Line(points={{0,-30},{0,30}},color={28,108,200},
origin={26,-15},
rotation=60),
Line(points={{0,-30},{0,30}},color={28,108,200},
origin={-26,-15},
rotation=-60),
Ellipse(extent={{-20,20},{20,-20}}, lineColor={28,108,200},
fillColor={255,255,255},
fillPattern=FillPattern.Solid),
Line(points={{-60,0},{-100,0}}, color={28,108,200}),
Line(points={{100,0},{60,0}}, color={28,108,200}),
Text(
extent={{-100,100},{100,60}},
lineColor={28,108,200},
fillColor={255,255,255},
fillPattern=FillPattern.None,
textString="%name")}),
Diagram(coordinateSystem(preserveAspectRatio=false)),
Documentation(info="<html>
<p>
Simple model of a hall sensor, i.e. measuring the angle of the flange (w.r.t. the optional support), multiplying by the number of phases p to obtain the electrical angle,
and adding a correction term i.e. the initial angle of the flange phi0.
</p>
<p>
Note that phi0 has to be set that way, that in shaft position phi0 the flux linkage of phase 1 is a maximum.
</p>
</html>"));
end HallSensor;
annotation (Documentation(info="<html>
This package contains sensors that are useful when modelling machines.
</html>", revisions="<html>
Expand Down

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