Modelica.Electrical.Analog.Sources

Information

This package contains time-dependend and controlled voltage and current sources.

Main Authors:

Christoph Clauß <clauss@eas.iis.fhg.de>
André Schneider <schneider@eas.iis.fhg.de>
Fraunhofer Institute for Integrated Circuits
Design Automation Department
Zeunerstraße 38
D-01069 Dresden

Version:

$Id: Modelica_Electrical_Analog_Sources.html,v 1.10 2002/12/18 08:44:19 Hans Exp $

Copyright:

Copyright © 1998-2002, Modelica Association and Fraunhofer-Gesellschaft.
The Modelica package is free software; it can be redistributed and/or modified under the terms of the Modelica license, see the license conditions and the accompanying disclaimer in the documentation of package Modelica in file "Modelica/package.mo".

Modelica.Electrical.Analog.Sources.TrapezoidVoltage

Parameters

Name	Default	Description
V	1	Amplitude of trapezoid [V]
rising	0	Rising duration of trapezoid [s]
width	0.5	Width duration of trapezoid [s]
falling	0	Falling duration of trapezoid [s]
period	1	Time for one period [s]
nperiod	-1	Number of periods (< 0 means infinite number of periods)
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model TrapezoidVoltage "Trapezoidal voltage source" 
  parameter SI.Voltage V=1 "Amplitude of trapezoid";
  parameter SI.Time rising(final min=0) = 0 "Rising duration of trapezoid";
  parameter SI.Time width(final min=0) = 0.5 "Width duration of trapezoid";
  parameter SI.Time falling(final min=0) = 0 "Falling duration of trapezoid";
  parameter SI.Time period(final min=Modelica.Constants.small) = 1 
    "Time for one period";
  parameter Integer nperiod=-1 
    "Number of periods (< 0 means infinite number of periods)";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Trapezoid signalSource(
      amplitude={V}, 
      rising={rising}, 
      width={width}, 
      falling={falling}, 
      period={period}, 
      nperiod={nperiod}));
end TrapezoidVoltage;

Modelica.Electrical.Analog.Sources.ExpSineVoltage

Parameters

Name	Default	Description
V	1	Amplitude of sine wave [V]
freqHz	2	Frequency of sine wave [Hz]
phase	0	Phase of sine wave [rad]
damping	1	Damping coefficient of sine wave [s-1]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model ExpSineVoltage "Exponentially damped sine voltage source" 
  parameter SI.Voltage V=1 "Amplitude of sine wave";
  parameter SI.Frequency freqHz=2 "Frequency of sine wave";
  parameter SI.Angle phase=0 "Phase of sine wave";
  parameter SI.Damping damping=1 "Damping coefficient of sine wave";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.ExpSine signalSource(
      amplitude={V}, 
      freqHz={freqHz}, 
      phase={phase}, 
      damping={damping}));
end ExpSineVoltage;

Modelica.Electrical.Analog.Sources.RampVoltage

Parameters

Name	Default	Description
V	1	Height of ramp [V]
duration	2	Duration of ramp [s]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model RampVoltage "Ramp voltage source" 
  parameter SI.Voltage V=1 "Height of ramp";
  parameter SI.Time duration(min=Modelica.Constants.small) = 2 "Duration of ramp";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Ramp signalSource(final height={V}, final duration
        ={duration}));
end RampVoltage;

Modelica.Electrical.Analog.Sources.RampCurrent

Parameters

Name	Default	Description
I	1	Height of ramp [A]
duration	2	Duration of ramp [s]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model RampCurrent "Ramp current source" 
  parameter SI.Current I=1 "Height of ramp";
  parameter SI.Time duration(min=Modelica.Constants.small) = 2 "Duration of ramp";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Ramp signalSource(final height={I}, final duration
        ={duration}));
end RampCurrent;

Modelica.Electrical.Analog.Sources.SignalVoltage

Modelica definition

model SignalVoltage 
  "Generic voltage source using the input signal as source voltage" 
  extends Interfaces.OnePort;
  
  Modelica.Blocks.Interfaces.InPort inPort(final n=1);
equation 
  inPort.signal[1] = v;
end SignalVoltage;

Modelica.Electrical.Analog.Sources.ConstantVoltage

Parameters

Name	Default	Description
V	1	Value of constant voltage [V]

Modelica definition

model ConstantVoltage "Source for constant voltage" 
  parameter SI.Voltage V=1 "Value of constant voltage";
  extends Interfaces.OnePort;
equation 
  v = V;
end ConstantVoltage;

Modelica.Electrical.Analog.Sources.StepVoltage

Parameters

Name	Default	Description
V	1	Height of step [V]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model StepVoltage "Step voltage source" 
  parameter SI.Voltage V=1 "Height of step";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Step signalSource(height={V}));
end StepVoltage;

Modelica.Electrical.Analog.Sources.SineVoltage

Parameters

Name	Default	Description
V	1	Amplitude of sine wave [V]
phase	0	Phase of sine wave [rad]
freqHz	1	Frequency of sine wave [Hz]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model SineVoltage "Sine voltage source" 
  parameter SI.Voltage V=1 "Amplitude of sine wave";
  parameter SI.Angle phase=0 "Phase of sine wave";
  parameter SI.Frequency freqHz=1 "Frequency of sine wave";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Sine signalSource(
      amplitude={V}, 
      freqHz={freqHz}, 
      phase={phase}));
end SineVoltage;

Modelica.Electrical.Analog.Sources.ExponentialsVoltage

Parameters

Name	Default	Description
vMax	1	Upper bound for rising edge
riseTime	0.5	Rise time [s]
riseTimeConst	0.1	Rise time constant [s]
fallTimeConst	riseTimeConst	Fall time constant [s]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model ExponentialsVoltage 
  " Rising and falling exponential voltage source" 
  parameter Real vMax=1 "Upper bound for rising edge";
  parameter SI.Time riseTime(min=0) = 0.5 "Rise time";
  parameter SI.Time riseTimeConst(min=Modelica.Constants.small) = 0.1 
    "Rise time constant";
  parameter SI.Time fallTimeConst(min=Modelica.Constants.small) = riseTimeConst 
    "Fall time constant";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Exponentials signalSource(
      outMax={vMax}, 
      riseTime={riseTime}, 
      riseTimeConst={riseTimeConst}, 
      fallTimeConst={fallTimeConst}));
end ExponentialsVoltage;

Modelica.Electrical.Analog.Sources.PulseVoltage

Parameters

Name	Default	Description
V	1	Amplitude of pulse [V]
width	50	Width of pulse in % of period
period	1	Time for one period [s]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model PulseVoltage "Pulse voltage source" 
  parameter SI.Voltage V=1 "Amplitude of pulse";
  parameter Real width(
    final min=Modelica.Constants.small, 
    final max=100) = 50 "Width of pulse in % of period";
  parameter SI.Time period(final min=Modelica.Constants.small) = 1 
    "Time for one period";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.Pulse signalSource(
      amplitude={V}, 
      width={width}, 
      period={period}));
end PulseVoltage;

Modelica.Electrical.Analog.Sources.SawToothVoltage

Parameters

Name	Default	Description
V	1	Amplitude of saw tooth [V]
period	1	Time for one period [s]
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model SawToothVoltage "Saw tooth voltage source" 
  parameter SI.Voltage V=1 "Amplitude of saw tooth";
  parameter SI.Time period=1 "Time for one period";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.SawTooth signalSource(amplitude={V}, period={
          period}));
end SawToothVoltage;

Modelica.Electrical.Analog.Sources.TableVoltage

Information

This block generates a voltage source by linear interpolation in a table. The time points and voltage values are stored in a matrix table[i,j], where the first column table[:,1] contains the time points and the second column contains the voltage to be interpolated. The table interpolation has the following proporties:

• The time points need to be monotonically increasing.
• Discontinuities are allowed, by providing the same time point twice in the table.
• Values outside of the table range, are computed by extrapolation through the last or first two points of the table.
• If the table has only one row, no interpolation is performed and the voltage value is just returned independantly of the actual time instant, i.e., this is a constant voltage source.
• Via parameters startTime and offset the curve defined by the table can be shifted both in time and in the voltage.
• The table is implemented in a numerically sound way by generating time events at interval boundaries, in order to not integrate over a discontinuous or not differentiable points.

Example:

   table = [0  0
            1  0
            1  1
            2  4
            3  9
            4 16]

If, e.g., time = 1.0, the voltage v =  0.0 (before event), 1.0 (after event)
    e.g., time = 1.5, the voltage v =  2.5,
    e.g., time = 2.0, the voltage v =  4.0,
    e.g., time = 5.0, the voltage v = 23.0 (i.e. extrapolation).

Parameters

Name	Default	Description
table[:, :]	[0, 0; 1, 1; 2, 4]	Table matrix (time = first column, voltage = second column)
offset	0	Voltage offset [V]
startTime	0	Time offset [s]

Modelica definition

model TableVoltage 
  "Voltage source by linear interpolation in a table" 
  parameter Real table[:, :]=[0, 0; 1, 1; 2, 4] 
    "Table matrix (time = first column, voltage = second column)";
  extends Interfaces.VoltageSource(redeclare Modelica.Blocks.Sources.TimeTable signalSource(table=table));
end TableVoltage;

Modelica.Electrical.Analog.Sources.SignalCurrent

Modelica definition

model SignalCurrent 
  "Generic current source using the input signal as source current" 
  extends Interfaces.OnePort;
  
  Modelica.Blocks.Interfaces.InPort inPort(final n=1);
equation 
  i = inPort.signal[1];
end SignalCurrent;

Modelica.Electrical.Analog.Sources.ConstantCurrent

Parameters

Name	Default	Description
I	1	Value of constant current [A]

Modelica definition

model ConstantCurrent "Source for constant current" 
  parameter SI.Current I=1 "Value of constant current";
  extends Interfaces.OnePort;
equation 
  i = I;
end ConstantCurrent;

Modelica.Electrical.Analog.Sources.StepCurrent

Parameters

Name	Default	Description
I	1	Height of step [A]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model StepCurrent "Step current source" 
  parameter SI.Current I=1 "Height of step";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Step signalSource(height={I}));
end StepCurrent;

Modelica.Electrical.Analog.Sources.SineCurrent

Parameters

Name	Default	Description
I	1	Amplitude of sine wave [A]
phase	0	Phase of sine wave [rad]
freqHz	1	Frequency of sine wave [Hz]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model SineCurrent "Sine current source" 
  parameter SI.Current I=1 "Amplitude of sine wave";
  parameter SI.Angle phase=0 "Phase of sine wave";
  parameter SI.Frequency freqHz=1 "Frequency of sine wave";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Sine signalSource(
      amplitude={I}, 
      freqHz={freqHz}, 
      phase={phase}));
end SineCurrent;

Modelica.Electrical.Analog.Sources.ExpSineCurrent

Parameters

Name	Default	Description
I	1	Amplitude of sine wave
freqHz	2	Frequency of sine wave [Hz]
phase	0	Phase of sine wave [rad]
damping	1	Damping coefficient of sine wave [s-1]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model ExpSineCurrent "Exponentially damped sine current source" 
  parameter Real I=1 "Amplitude of sine wave";
  parameter SI.Frequency freqHz=2 "Frequency of sine wave";
  parameter SI.Angle phase=0 "Phase of sine wave";
  parameter SI.Damping damping=1 "Damping coefficient of sine wave";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.ExpSine signalSource(
      amplitude={I}, 
      freqHz={freqHz}, 
      phase={phase}, 
      damping={damping}));
end ExpSineCurrent;

Modelica.Electrical.Analog.Sources.ExponentialsCurrent

Parameters

Name	Default	Description
iMax	1	Upper bound for rising edge
riseTime	0.5	Rise time [s]
riseTimeConst	0.1	Rise time constant [s]
fallTimeConst	riseTimeConst	Fall time constant [s]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model ExponentialsCurrent 
  " Rising and falling exponential current source" 
  parameter Real iMax=1 "Upper bound for rising edge";
  parameter SI.Time riseTime(min=0) = 0.5 "Rise time";
  parameter SI.Time riseTimeConst(min=Modelica.Constants.small) = 0.1 
    "Rise time constant";
  parameter SI.Time fallTimeConst(min=Modelica.Constants.small) = riseTimeConst 
    "Fall time constant";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Exponentials signalSource(
      outMax={iMax}, 
      riseTime={riseTime}, 
      riseTimeConst={riseTimeConst}, 
      fallTimeConst={fallTimeConst}));
end ExponentialsCurrent;

Modelica.Electrical.Analog.Sources.PulseCurrent

Parameters

Name	Default	Description
I	1	Amplitude of pulse [A]
width	50	Width of pulse in % of period
period	1	Time for one period [s]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model PulseCurrent "Pulse current source" 
  parameter SI.Current I=1 "Amplitude of pulse";
  parameter Real width(
    final min=Modelica.Constants.small, 
    final max=100) = 50 "Width of pulse in % of period";
  parameter SI.Time period(final min=Modelica.Constants.small) = 1 
    "Time for one period";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Pulse signalSource(
      amplitude={I}, 
      width={width}, 
      period={period}));
end PulseCurrent;

Modelica.Electrical.Analog.Sources.SawToothCurrent

Parameters

Name	Default	Description
I	1	Amplitude of saw tooth [A]
period	1	Time for one period [s]
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model SawToothCurrent "Saw tooth current source" 
  parameter SI.Current I=1 "Amplitude of saw tooth";
  parameter SI.Time period=1 "Time for one period";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.SawTooth signalSource(amplitude={I}, period={
          period}));
end SawToothCurrent;

Modelica.Electrical.Analog.Sources.TrapezoidCurrent

Parameters

Name	Default	Description
I	1	Amplitude of trapezoid [A]
rising	0	Rising duration of trapezoid [s]
width	0.5	Width duration of trapezoid [s]
falling	0	Falling duration of trapezoid [s]
period	1	Time for one period [s]
nperiod	-1	Number of periods (< 0 means infinite number of periods)
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model TrapezoidCurrent "Trapezoidal current source" 
  parameter SI.Current I=1 "Amplitude of trapezoid";
  parameter SI.Time rising(final min=0) = 0 "Rising duration of trapezoid";
  parameter SI.Time width(final min=0) = 0.5 "Width duration of trapezoid";
  parameter SI.Time falling(final min=0) = 0 "Falling duration of trapezoid";
  parameter SI.Time period(final min=Modelica.Constants.small) = 1 
    "Time for one period";
  parameter Integer nperiod=-1 
    "Number of periods (< 0 means infinite number of periods)";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.Trapezoid signalSource(
      amplitude={I}, 
      rising={rising}, 
      width={width}, 
      falling={falling}, 
      period={period}, 
      nperiod={nperiod}));
end TrapezoidCurrent;

Modelica.Electrical.Analog.Sources.TableCurrent

Information

This block generates a current source by linear interpolation in a table. The time points and current values are stored in a matrix table[i,j], where the first column table[:,1] contains the time points and the second column contains the current to be interpolated. The table interpolation has the following proporties:

• The time points need to be monotonically increasing.
• Discontinuities are allowed, by providing the same time point twice in the table.
• Values outside of the table range, are computed by extrapolation through the last or first two points of the table.
• If the table has only one row, no interpolation is performed and the current value is just returned independantly of the actual time instant, i.e., this is a constant current source.
• Via parameters startTime and offset the curve defined by the table can be shifted both in time and in the current.
• The table is implemented in a numerically sound way by generating time events at interval boundaries, in order to not integrate over a discontinuous or not differentiable points.

Example:

   table = [0  0
            1  0
            1  1
            2  4
            3  9
            4 16]

If, e.g., time = 1.0, the current i =  0.0 (before event), 1.0 (after event)
    e.g., time = 1.5, the current i =  2.5,
    e.g., time = 2.0, the current i =  4.0,
    e.g., time = 5.0, the current i = 23.0 (i.e. extrapolation).

Parameters

Name	Default	Description
table[:, :]	[0, 0; 1, 1; 2, 4]	Table matrix (time = first column, current = second column)
offset	0	Current offset [A]
startTime	0	Time offset [s]

Modelica definition

model TableCurrent 
  "Current source by linear interpolation in a table" 
  parameter Real table[:, :]=[0, 0; 1, 1; 2, 4] 
    "Table matrix (time = first column, current = second column)";
  extends Interfaces.CurrentSource(redeclare Modelica.Blocks.Sources.TimeTable signalSource(table=table));
end TableCurrent;