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Math.mo
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Math.mo
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within Modelica.Blocks;
package Math "Library of Real mathematical functions as input/output blocks"
import Modelica.Blocks.Interfaces;
extends Modelica.Icons.Package;
encapsulated package UnitConversions
"Conversion blocks to convert between SI and non-SI unit signals"
import Modelica;
import Modelica.Units.NonSI;
extends Modelica.Icons.Package;
block To_degC "Convert from Kelvin to degCelsius"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="K"), y(
unit="degC"));
equation
y = Modelica.Units.Conversions.to_degC(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="K"),Text(
extent={{100,-20},{20,-100}},
textString="degC")}), Documentation(info="<html>
<p>
This block converts the input signal from Kelvin to degCelsius and returns
the result as output signal.
</p>
</html>"));
end To_degC;
block From_degC "Convert from degCelsius to Kelvin"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="degC"),
y(unit="K"));
equation
y = Modelica.Units.Conversions.from_degC(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="degC"),Text(
extent={{100,-20},{20,-100}},
textString="K")}), Documentation(info="<html>
<p>
This block converts the input signal from degCelsius to Kelvin and returns
the result as output signal.
</p>
</html>"));
end From_degC;
block To_degF "Convert from Kelvin to degFahrenheit"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="K"), y(
unit="degF"));
equation
y = Modelica.Units.Conversions.to_degF(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="K"),Text(
extent={{100,-20},{20,-100}},
textString="degF")}), Documentation(info="<html>
<p>
This block converts the input signal from Kelvin to degFahrenheit and returns
the result as output signal.
</p>
</html>"));
end To_degF;
block From_degF "Convert from degFahrenheit to Kelvin"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="degF"),
y(unit="K"));
equation
y = Modelica.Units.Conversions.from_degF(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="degF"),Text(
extent={{100,-20},{20,-100}},
textString="K")}), Documentation(info="<html>
<p>
This block converts the input signal from degFahrenheit to Kelvin and returns
the result as output signal.
</p>
</html>"));
end From_degF;
block To_degRk "Convert from Kelvin to degRankine"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="K"), y(
unit="degRk"));
equation
y = Modelica.Units.Conversions.to_degRk(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="K"),Text(
extent={{100,-20},{20,-100}},
textString="degRk")}), Documentation(info="<html>
<p>
This block converts the input signal from Kelvin to degRankine and returns
the result as output signal.
</p>
</html>"));
end To_degRk;
block From_degRk "Convert from degRankine to Kelvin"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="degRk"),
y(unit="K"));
equation
y = Modelica.Units.Conversions.from_degRk(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="degRk"),Text(
extent={{100,-20},{20,-100}},
textString="K")}), Documentation(info="<html>
<p>
This block converts the input signal from degRankine to Kelvin and returns
the result as output signal.
</p>
</html>"));
end From_degRk;
block To_deg "Convert from radian to degree"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="rad"),
y(unit="deg"));
equation
y = Modelica.Units.Conversions.to_deg(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="rad"),Text(
extent={{100,-20},{20,-100}},
textString="deg")}), Documentation(info="<html>
<p>
This block converts the input signal from radian to degree and returns
the result as output signal.
</p>
</html>"));
end To_deg;
block From_deg "Convert from degree to radian"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="deg"),
y(unit="rad"));
equation
y = Modelica.Units.Conversions.from_deg(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="deg"),Text(
extent={{100,-20},{20,-100}},
textString="rad")}), Documentation(info="<html>
<p>
This block converts the input signal from degree to radian and returns
the result as output signal.
</p>
</html>"));
end From_deg;
block To_rpm "Convert from radian per second to revolutions per minute"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="rad/s"),
y(unit="rev/min"));
equation
y = Modelica.Units.Conversions.to_rpm(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{26,82},{-98,50}},
textString="rad/s"),Text(
extent={{100,-42},{-62,-74}},
textString="rev/min")}), Documentation(info="<html>
<p>
This block converts the input signal from radian per second to revolutions per minute and returns
the result as output signal.
</p>
</html>"));
end To_rpm;
block From_rpm "Convert from revolutions per minute to radian per second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="rev/min"),
y(unit="rad/s"));
equation
y = Modelica.Units.Conversions.from_rpm(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{50,84},{-94,56}},
textString="rev/min"),Text(
extent={{94,-42},{-26,-74}},
textString="rad/s")}), Documentation(info="<html>
<p>
This block converts the input signal from revolutions per minute to radian per second and returns
the result as output signal.
</p>
</html>"));
end From_rpm;
block To_kmh "Convert from metre per second to kilometre per hour"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="m/s"),
y(unit="km/h"));
equation
y = Modelica.Units.Conversions.to_kmh(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{0,82},{-96,42}},
textString="m/s"),Text(
extent={{92,-40},{-14,-84}},
textString="km/h")}), Documentation(info="<html>
<p>
This block converts the input signal from metre per second to kilometre per hour and returns
the result as output signal.
</p>
</html>"));
end To_kmh;
block From_kmh "Convert from kilometre per hour to metre per second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="km/h"),
y(unit="m/s"));
equation
y = Modelica.Units.Conversions.from_kmh(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{26,80},{-96,48}},
textString="km/h"),Text(
extent={{92,-46},{-20,-82}},
textString="m/s")}), Documentation(info="<html>
<p>
This block converts the input signal from kilometre per hour to metre per second and returns
the result as output signal.
</p>
</html>"));
end From_kmh;
block To_day "Convert from second to day"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="s"), y(
unit="d"));
equation
y = Modelica.Units.Conversions.to_day(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="s"),Text(
extent={{100,-20},{20,-100}},
textString="day")}), Documentation(info="<html>
<p>
This block converts the input signal from second to day and returns
the result as output signal.
</p>
</html>"));
end To_day;
block From_day "Convert from day to second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="d"), y(
unit="s"));
equation
y = Modelica.Units.Conversions.from_day(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="day"),Text(
extent={{100,-20},{20,-100}},
textString="s")}), Documentation(info="<html>
<p>
This block converts the input signal from day to second and returns
the result as output signal.
</p>
</html>"));
end From_day;
block To_hour "Convert from second to hour"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="s"), y(
unit="h"));
equation
y = Modelica.Units.Conversions.to_hour(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="s"),Text(
extent={{100,-20},{20,-100}},
textString="hour")}), Documentation(info="<html>
<p>
This block converts the input signal from second to hour and returns
the result as output signal.
</p>
</html>"));
end To_hour;
block From_hour "Convert from hour to second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="h"), y(
unit="s"));
equation
y = Modelica.Units.Conversions.from_hour(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="hour"),Text(
extent={{100,-20},{20,-100}},
textString="s")}), Documentation(info="<html>
<p>
This block converts the input signal from hour to second and returns
the result as output signal.
</p>
</html>"));
end From_hour;
block To_minute "Convert from second to minute"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="s"), y(
unit="min"));
equation
y = Modelica.Units.Conversions.to_minute(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="s"),Text(
extent={{100,-20},{20,-100}},
textString="minute")}), Documentation(info="<html>
<p>
This block converts the input signal from second to minute and returns
the result as output signal.
</p>
</html>"));
end To_minute;
block From_minute "Convert from minute to second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="min"),
y(unit="s"));
equation
y = Modelica.Units.Conversions.from_minute(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="minute"),Text(
extent={{100,-20},{20,-100}},
textString="s")}), Documentation(info="<html>
<p>
This block converts the input signal from minute to second and returns
the result as output signal.
</p>
</html>"));
end From_minute;
block To_litre "Convert from cubic metre to litre"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="m3"), y(
unit="l"));
equation
y = Modelica.Units.Conversions.to_litre(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="m3"),Text(
extent={{100,-20},{20,-100}},
textString="litre")}), Documentation(info="<html>
<p>
This block converts the input signal from metre to litre and returns
the result as output signal.
</p>
</html>"));
end To_litre;
block From_litre "Convert from litre to cubic metre"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="l"), y(
unit="m3"));
equation
y = Modelica.Units.Conversions.from_litre(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="litre"),Text(
extent={{100,-20},{20,-100}},
textString="m3")}), Documentation(info="<html>
<p>
This block converts the input signal from litre to cubic metre and returns
the result as output signal.
</p>
</html>"));
end From_litre;
block To_kWh "Convert from Joule to kilo Watt hour"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="J"), y(
unit="kW.h"));
equation
y = Modelica.Units.Conversions.to_kWh(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="J"),Text(
extent={{100,-20},{20,-100}},
textString="kW.h")}), Documentation(info="<html>
<p>
This block converts the input signal from Joule to kilo Watt hour and returns
the result as output signal.
</p>
</html>"));
end To_kWh;
block From_kWh "Convert from kilo Watt hour to Joule"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="kW.h"),
y(unit="J"));
equation
y = Modelica.Units.Conversions.from_kWh(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="kW.h"),Text(
extent={{100,-20},{20,-100}},
textString="J")}), Documentation(info="<html>
<p>
This block converts the input signal from kilo Watt hour to Joule and returns
the result as output signal.
</p>
</html>"));
end From_kWh;
block To_bar "Convert from Pascal to bar"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="Pa"), y(
unit="bar"));
equation
y = Modelica.Units.Conversions.to_bar(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="Pa"),Text(
extent={{100,-20},{20,-100}},
textString="bar")}), Documentation(info="<html>
<p>
This block converts the input signal from Pascal to bar and returns
the result as output signal.
</p>
</html>"));
end To_bar;
block From_bar "Convert from bar to Pascal"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="bar"),
y(unit="Pa"));
equation
y = Modelica.Units.Conversions.from_bar(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="bar"),Text(
extent={{100,-20},{20,-100}},
textString="Pa")}), Documentation(info="<html>
<p>
This block converts the input signal from bar to Pascal and returns
the result as output signal.
</p>
</html>"));
end From_bar;
block To_gps "Convert from kilogram per second to gram per second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="kg/s"),
y(unit="g/s"));
equation
y = Modelica.Units.Conversions.to_gps(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="kg/s"),Text(
extent={{100,-20},{20,-100}},
textString="g/s")}), Documentation(info="<html>
<p>
This block converts the input signal from kilogram per second to gram per seconds and returns
the result as output signal.
</p>
</html>"));
end To_gps;
block From_gps "Convert from gram per second to kilogram per second"
extends Modelica.Blocks.Interfaces.PartialConversionBlock(u(unit="g/s"),
y(unit="kg/s"));
equation
y = Modelica.Units.Conversions.from_gps(u);
annotation (Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,
-100},{100,100}}), graphics={Text(
extent={{-20,100},{-100,20}},
textString="g/s"),Text(
extent={{100,-20},{20,-100}},
textString="kg/s")}), Documentation(info="<html>
<p>
This block converts the input signal from gram per second to kilogram per second and returns
the result as output signal.
</p>
</html>"));
end From_gps;
annotation (Documentation(info="<html>
<p>
This package consists of blocks that convert an input signal
with a specific unit to an output signal in another unit
(e.g., conversion of an angle signal from \"deg\" to \"rad\").
</p>
</html>"));
end UnitConversions;
block InverseBlockConstraints
"Construct inverse model by requiring that two inputs and two outputs are identical"
Modelica.Blocks.Interfaces.RealInput u1 "Input signal 1 (u1 = u2)"
annotation (Placement(transformation(extent={{-240,-20},{-200,20}}), iconTransformation(extent={{-240,-20},{-200,20}})));
Modelica.Blocks.Interfaces.RealInput u2 "Input signal 2 (u1 = u2)"
annotation (Placement(transformation(extent={{-140,-20},{-180,20}}), iconTransformation(extent={{-140,-20},{-180,20}})));
Modelica.Blocks.Interfaces.RealOutput y1 "Output signal 1 (y1 = y2)"
annotation (Placement(transformation(extent={{200,-10},{220,10}}), iconTransformation(extent={{200,-10},{220,10}})));
Modelica.Blocks.Interfaces.RealOutput y2 "Output signal 2 (y1 = y2)"
annotation (Placement(transformation(
extent={{10,-10},{-10,10}},
origin={170,0}), iconTransformation(extent={{180,-10},{160,10}})));
equation
u1 = u2;
y1 = y2;
annotation (
defaultConnectionStructurallyInconsistent=true,
Icon(coordinateSystem(preserveAspectRatio=false, extent={{-200,-120},{200,
120}}), graphics={
Line(
points={{180,0},{200,0}},
color={0,0,127}),
Line(
points={{-200,0},{-180,0}},
color={0,0,127}),
Rectangle(extent={{-190,120},{190,-120}}, lineColor={135,135,135})}),
Documentation(info="<html>
<p>
Exchange input and output signals of a block, i.e., the previous
block inputs become block outputs and the previous block outputs become
block inputs. This block is used to construct inverse models.
Its usage is demonstrated in example:
<a href=\"modelica://Modelica.Blocks.Examples.InverseModel\">Modelica.Blocks.Examples.InverseModel</a>.
</p>
<p>
Note, if a block shall be inverted that has several input and output blocks,
then this can be easily achieved by using a vector of InverseBlockConstraints
instances:
</p>
<blockquote><pre>
InverseBlockConstraint invert[3]; // Block to be inverted has 3 input signals
</pre></blockquote>
</html>"));
end InverseBlockConstraints;
block Gain "Output the product of a gain value with the input signal"
parameter Real k(start=1)
"Gain value multiplied with input signal";
public
Interfaces.RealInput u "Input signal connector" annotation (Placement(
transformation(extent={{-140,-20},{-100,20}})));
Interfaces.RealOutput y "Output signal connector" annotation (Placement(
transformation(extent={{100,-10},{120,10}})));
equation
y = k*u;
annotation (
Documentation(info="<html>
<p>
This block computes output <em>y</em> as
<em>product</em> of gain <em>k</em> with the
input <em>u</em>:
</p>
<blockquote><pre>
y = k * u;
</pre></blockquote>
</html>"),
Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{100,
100}}), graphics={
Polygon(
points={{-100,-100},{-100,100},{100,0},{-100,-100}},
lineColor={0,0,127},
fillColor={255,255,255},
fillPattern=FillPattern.Solid),
Text(
extent={{-150,-140},{150,-100}},
textString="k=%k"),
Text(
extent={{-150,140},{150,100}},
textString="%name",
textColor={0,0,255})}));
end Gain;
block MatrixGain
"Output the product of a gain matrix with the input signal vector"
parameter Real K[:, :]=[1, 0; 0, 1]
"Gain matrix which is multiplied with the input";
extends Interfaces.MIMO(final nin=size(K, 2), final nout=size(K, 1));
equation
y = K*u;
annotation (
Documentation(info="<html>
<p>
This blocks computes output vector <strong>y</strong> as <em>product</em> of the
gain matrix <strong>K</strong> with the input signal vector <strong>u</strong>:
</p>
<blockquote><pre>
<strong>y</strong> = <strong>K</strong> * <strong>u</strong>;
</pre></blockquote>
<p>
Example:
</p>
<blockquote><pre>
parameter: <strong>K</strong> = [0.12 2; 3 1.5]
results in the following equations:
| y[1] | | 0.12 2.00 | | u[1] |
| | = | | * | |
| y[2] | | 3.00 1.50 | | u[2] |
</pre></blockquote>
</html>"),
Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{100,
100}}), graphics={Text(
extent={{-90,-60},{90,60}},
textColor={160,160,164},
textString="*K")}));
end MatrixGain;
block MultiSum "Sum of Reals: y = k[1]*u[1] + k[2]*u[2] + ... + k[n]*u[n]"
extends Modelica.Blocks.Interfaces.PartialRealMISO;
parameter Real k[nu]=fill(1, nu) "Input gains";
equation
if size(u, 1) > 0 then
y = k*u;
else
y = 0;
end if;
annotation (Icon(graphics={Text(
extent={{-200,-110},{200,-140}},
textString="%k"), Text(
extent={{-72,68},{92,-68}},
textString="+")}), Documentation(info="<html>
<p>
This blocks computes the scalar Real output \"y\" as sum of the elements of the
Real input signal vector u:
</p>
<blockquote><pre>
y = k[1]*u[1] + k[2]*u[2] + ... k[N]*u[N];
</pre></blockquote>
<p>
The input connector is a vector of Real input signals.
When a connection line is drawn, the dimension of the input
vector is enlarged by one and the connection is automatically
connected to this new free index (thanks to the
connectorSizing annotation).
</p>
<p>
The usage is demonstrated, e.g., in example
<a href=\"modelica://Modelica.Blocks.Examples.RealNetwork1\">Modelica.Blocks.Examples.RealNetwork1</a>.
</p>
<p>
If no connection to the input connector \"u\" is present,
the output is set to zero: y=0.
</p>
</html>"));
end MultiSum;
block MultiProduct "Product of Reals: y = u[1]*u[2]* ... *u[n]"
extends Modelica.Blocks.Interfaces.PartialRealMISO;
equation
if size(u, 1) > 0 then
y = product(u);
else
y = 0;
end if;
annotation (Icon(graphics={Text(
extent={{-74,50},{94,-94}},
textString="*")}), Documentation(info="<html>
<p>
This blocks computes the scalar Real output \"y\" as product of the elements of the
Real input signal vector u:
</p>
<blockquote><pre>
y = u[1]*u[2]* ... *u[N];
</pre></blockquote>
<p>
The input connector is a vector of Real input signals.
When a connection line is drawn, the dimension of the input
vector is enlarged by one and the connection is automatically
connected to this new free index (thanks to the
connectorSizing annotation).
</p>
<p>
The usage is demonstrated, e.g., in example
<a href=\"modelica://Modelica.Blocks.Examples.RealNetwork1\">Modelica.Blocks.Examples.RealNetwork1</a>.
</p>
<p>
If no connection to the input connector \"u\" is present,
the output is set to zero: y=0.
</p>
</html>"));
end MultiProduct;
block MultiSwitch
"Set Real expression that is associated with the first active input signal"
input Real expr[nu]=fill(0.0, nu)
"y = if u[i] then expr[i] else y_default (time varying)"
annotation (Dialog);
parameter Real y_default=0.0
"Default value of output y if all u[i] = false";
parameter Integer nu(min=0) = 0 "Number of input connections"
annotation (Dialog(connectorSizing=true), HideResult=true);
parameter Integer precision(min=0) = 3
"Number of significant digits to be shown in dynamic diagram layer for y"
annotation (Dialog(tab="Advanced"));
Modelica.Blocks.Interfaces.BooleanVectorInput u[nu]
"Set y = expr[i], if u[i] = true"
annotation (Placement(transformation(extent={{-110,30},{-90,-30}})));
Modelica.Blocks.Interfaces.RealOutput y "Output depending on expression"
annotation (Placement(transformation(extent={{300,-10},{320,10}})));
protected
Integer firstActiveIndex;
initial equation
pre(u) = fill(false, nu);
equation
firstActiveIndex = Modelica.Math.BooleanVectors.firstTrueIndex(u);
y = if firstActiveIndex == 0 then y_default else expr[firstActiveIndex];
annotation (
defaultComponentName="multiSwitch1",
Icon(coordinateSystem(preserveAspectRatio=false, extent={{-100,-100},{300,
100}}), graphics={
Rectangle(
extent={{-100,-51},{300,50}},
lineThickness=5.0,
fillColor={170,213,255},
fillPattern=FillPattern.Solid,
borderPattern=BorderPattern.Raised),
Text(
extent={{-86,16},{295,-17}},
textString="%expr"),
Text(
extent={{310,-25},{410,-45}},
textString=DynamicSelect(" ", String(
y,
minimumLength=1,
significantDigits=precision))),
Text(
extent={{-100,-60},{300,-90}},
textString="else: %y_default"),
Text(
extent={{-100,100},{300,60}},
textString="%name",
textColor={0,0,255})}),
Documentation(info="<html>
<p>
This block has a vector of Boolean input signals u[nu] and a vector of
(time varying) Real expressions expr[nu]. The output signal y is
set to expr[i], if i is the first element in the input vector u that is true. If all input signals are
false, y is set to parameter \"y_default\".
</p>
<blockquote><pre>
// Conceptual equation (not valid Modelica)
i = 'first element of u[:] that is true';
y = <strong>if</strong> i==0 <strong>then</strong> y_default <strong>else</strong> expr[i];
</pre></blockquote>
<p>
The input connector is a vector of Boolean input signals.
When a connection line is drawn, the dimension of the input
vector is enlarged by one and the connection is automatically
connected to this new free index (thanks to the
connectorSizing annotation).
</p>
<p>
The usage is demonstrated, e.g., in example
<a href=\"modelica://Modelica.Blocks.Examples.RealNetwork1\">Modelica.Blocks.Examples.RealNetwork1</a>.
</p>
</html>"));
end MultiSwitch;
block Sum "Output the sum of the elements of the input vector"
extends Interfaces.MISO;
parameter Real k[nin]=ones(nin) "Optional: sum coefficients";
equation
y = k*u;
annotation (
defaultComponentName="sum1",
Documentation(info="<html>
<p>
This blocks computes output <strong>y</strong> as
<em>sum</em> of the elements of the input signal vector
<strong>u</strong>:
</p>
<blockquote><pre>
<strong>y</strong> = <strong>u</strong>[1] + <strong>u</strong>[2] + ...;
</pre></blockquote>
<p>
Example:
</p>
<blockquote><pre>
parameter: nin = 3;
results in the following equations:
y = u[1] + u[2] + u[3];
</pre></blockquote>
</html>"),
Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{100,
100}}), graphics={Line(
points={{26,42},{-34,42},{6,2},{-34,-38},{26,-38}})}));
end Sum;
block Feedback "Output difference between commanded and feedback input"
Interfaces.RealInput u1 "Commanded input" annotation (Placement(transformation(extent={{-100,
-20},{-60,20}})));
Interfaces.RealInput u2 "Feedback input" annotation (Placement(transformation(
origin={0,-80},
extent={{-20,-20},{20,20}},
rotation=90)));
Interfaces.RealOutput y annotation (Placement(transformation(extent={{80,-10},
{100,10}})));
equation
y = u1 - u2;
annotation (
Documentation(info="<html>
<p>
This blocks computes output <strong>y</strong> as <em>difference</em> of the
commanded input <strong>u1</strong> and the feedback
input <strong>u2</strong>:
</p>
<blockquote><pre>
<strong>y</strong> = <strong>u1</strong> - <strong>u2</strong>;
</pre></blockquote>
<p>
Example:
</p>
<blockquote><pre>
parameter: n = 2
results in the following equations:
y = u1 - u2
</pre></blockquote>
</html>"),
Icon(coordinateSystem(
preserveAspectRatio=true,
extent={{-100,-100},{100,100}}), graphics={
Ellipse(
lineColor={0,0,127},
fillColor={235,235,235},
fillPattern=FillPattern.Solid,
extent={{-20,-20},{20,20}}),
Line(points={{-60,0},{-20,0}}, color={0,0,127}),
Line(points={{20,0},{80,0}}, color={0,0,127}),
Line(points={{0,-20},{0,-60}}, color={0,0,127}),
Text(extent={{-14,-94},{82,0}}, textString="-"),
Text(
textColor={0,0,255},
extent={{-150,40},{150,80}},
textString="%name")}));
end Feedback;
block Add "Output the sum of the two inputs"
extends Interfaces.SI2SO;
parameter Real k1=+1 "Gain of input signal 1";
parameter Real k2=+1 "Gain of input signal 2";
equation
y = k1*u1 + k2*u2;
annotation (
Documentation(info="<html>
<p>
This blocks computes output <strong>y</strong> as <em>sum</em> of the
two input signals <strong>u1</strong> and <strong>u2</strong>:
</p>
<blockquote><pre>
<strong>y</strong> = k1*<strong>u1</strong> + k2*<strong>u2</strong>;
</pre></blockquote>
<p>
Example:
</p>
<blockquote><pre>
parameter: k1= +2, k2= -3
results in the following equations:
y = 2 * u1 - 3 * u2
</pre></blockquote>
</html>"),
Icon(coordinateSystem(
preserveAspectRatio=true,
extent={{-100,-100},{100,100}}), graphics={
Line(points={{-100,60},{-74,24},{-44,24}}, color={0,0,127}),
Line(points={{-100,-60},{-74,-24},{-44,-24}}, color={0,0,127}),
Ellipse(lineColor={0,0,127}, extent={{-50,-50},{50,50}}),
Line(points={{50,0},{100,0}}, color={0,0,127}),
Text(extent={{-40,40},{40,-40}}, textString="+"),
Text(extent={{-100,52},{5,92}}, textString="%k1"),
Text(extent={{-100,-92},{5,-52}}, textString="%k2")}),
Diagram(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{
100,100}}), graphics={ Line(points={{50,0},{100,0}},
color={0,0,255}), Line(
points={{50,0},{100,0}}, color={0,0,127})}));
end Add;
block Add3 "Output the sum of the three inputs"
extends Modelica.Blocks.Icons.Block;
parameter Real k1=+1 "Gain of input signal 1";
parameter Real k2=+1 "Gain of input signal 2";
parameter Real k3=+1 "Gain of input signal 3";
Interfaces.RealInput u1 "Connector of Real input signal 1" annotation (
Placement(transformation(extent={{-140,60},{-100,100}})));
Interfaces.RealInput u2 "Connector of Real input signal 2" annotation (
Placement(transformation(extent={{-140,-20},{-100,20}})));
Interfaces.RealInput u3 "Connector of Real input signal 3" annotation (
Placement(transformation(extent={{-140,-100},{-100,-60}})));
Interfaces.RealOutput y "Connector of Real output signal" annotation (
Placement(transformation(extent={{100,-10},{120,10}})));
equation
y = k1*u1 + k2*u2 + k3*u3;
annotation (
Documentation(info="<html>
<p>
This blocks computes output <strong>y</strong> as <em>sum</em> of the
three input signals <strong>u1</strong>, <strong>u2</strong> and <strong>u3</strong>:
</p>
<blockquote><pre>
<strong>y</strong> = k1*<strong>u1</strong> + k2*<strong>u2</strong> + k3*<strong>u3</strong>;
</pre></blockquote>
<p>
Example:
</p>
<blockquote><pre>
parameter: k1= +2, k2= -3, k3=1;
results in the following equations:
y = 2 * u1 - 3 * u2 + u3;
</pre></blockquote>
</html>"),
Icon(coordinateSystem(preserveAspectRatio=true, extent={{-100,-100},{100,
100}}), graphics={
Text(
extent={{-100,50},{5,90}},
textString="%k1"),
Text(
extent={{-100,-20},{5,20}},
textString="%k2"),
Text(
extent={{-100,-50},{5,-90}},
textString="%k3"),
Text(
extent={{10,40},{90,-40}},
textString="+")}));
end Add3;
block Product "Output product of the two inputs"
extends Interfaces.SI2SO;
equation
y = u1*u2;
annotation (
Documentation(info="<html>
<p>
This blocks computes the output <strong>y</strong>
as <em>product</em> of the two inputs <strong>u1</strong> and <strong>u2</strong>:
</p>
<blockquote><pre>
y = u1 * u2;
</pre></blockquote>
</html>"),
Icon(coordinateSystem(
preserveAspectRatio=true,
extent={{-100,-100},{100,100}}), graphics={
Line(points={{-100,60},{-40,60},{-30,40}}, color={0,0,127}),
Line(points={{-100,-60},{-40,-60},{-30,-40}}, color={0,0,127}),
Line(points={{50,0},{100,0}}, color={0,0,127}),
Line(points={{-30,0},{30,0}}),
Line(points={{-15,25.99},{15,-25.99}}),
Line(points={{-15,-25.99},{15,25.99}}),
Ellipse(lineColor={0,0,127}, extent={{-50,-50},{50,50}})}));
end Product;
block Division "Output first input divided by second input"