Modelica.Electrical.Analog.Examples.OpAmps

Examples with operational amplifiers

Information

This package contains application examples of the components provided in the package OpAmpCircuits.

Extends from Modelica.Icons.ExamplesPackage (Icon for packages containing runnable examples).

Package Content

Name	Description
NonInvertingAmplifier	Non-inverting amplifier
InvertingAmplifier	Inverting amplifier
DifferentialAmplifier	Differential amplifier
Adder	Inverting adder
Subtracter	Inverting subtracter
Differentiator	Differentiating amplifier
Integrator	Integrating amplifier
LowPass	Low-pass filter
HighPass	High-pass filter
ControlCircuit	Control circuit
VoltageFollower	Reproduce input voltage
Comparator	Comparator
InvertingSchmittTrigger	Inverting Schmitt trigger with hysteresis
SchmittTrigger	Schmitt trigger with hysteresis
Multivibrator	Multivibrator with Schmitt trigger
SignalGenerator	Rectangle-Triangle generator
LCOscillator	LC oscillator
OpAmpCircuits	Different circuits with operational amplifiers

Modelica.Electrical.Analog.Examples.OpAmps.NonInvertingAmplifier

Non-inverting amplifier

Information

This is a non inverting amplifier.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.InvertingAmplifier

Inverting amplifier

Information

This is an inverting amplifier.

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.DifferentialAmplifier

Differential amplifier

Information

This model demonstrates a differential amplifier to attenuate the input voltage to a level that can be handled by the measurement instrument.

Two sinusoidal source voltages with a phase shift of 120° (e.g., two phases of a three-phase system) feed a load resistor. The voltage at the load resistor has to be measured but is too high for direct measurement.

Notes

The output of the amplifier is inverted with respect to the differential input, as well as attenuated by the factor 1/data.k.
The influence of the measurement instrument's input resistance on the measurement result is small.
The current consumption of the amplifier inputs at the source circuit is small (resistor1.i and resistor2.i).
The common of the source and the common of the amplifier are connected by a ground resistor. In case this resistance is low, a small current is flowing between the amplifier's common and the source's common (resistorGround.i). In case this resistance is high, the amplifier's common is floating with respect to the source's common with a high voltage (resistorGround.v).

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
data	Parameters for source, OpAmp and measurement

Modelica.Electrical.Analog.Examples.OpAmps.Adder

Inverting adder

Information

This is an inverting adder.

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.Subtracter

Inverting subtracter

Information

This is an inverting subtracter.

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.Differentiator

Differentiating amplifier

Information

This is a (inverting) differentiating amplifier. Resistance R can be chosen, capacitance C is defined by the desired time constant resp. frequency.

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.Integrator

Integrating amplifier

Information

This is an (inverting) integrating amplifier. Resistance R can be chosen, capacitance C is defined by the desired time constant resp. frequency.

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.LowPass

Low-pass filter

Information

This is a (inverting) low pass filter. Resistance R1 can be chosen, resistance R2 is defined by the desired amplification k, capacitance C is defined by the desired cut-off frequency.

The example is taken from: U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 13.3

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
fG	Limiting frequency [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.HighPass

High-pass filter

Information

This is a (inverting) high pass filter. Resistance R1 can be chosen, resistance R2 is defined by the desired amplification k, capacitance C is defined by the desired cut-off frequency.

The example is taken from: U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 13.3

Note: vOut measure the negative output voltage.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
fG	Limiting frequency [Hz]

Modelica.Electrical.Analog.Examples.OpAmps.ControlCircuit

Control circuit

Information

This is an analog control circuit with operational amplifiers.

Compare the analog solution with the block circuit, e.g. firstOrder2B.y and firstOrder2A.v2.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
T1	Small time constant [s]
T2	Large time constant [s]
Ti	Integral time constant [s]
kp	Proportional gain

Modelica.Electrical.Analog.Examples.OpAmps.VoltageFollower

Reproduce input voltage

Information

This is a voltage follower. It reproduces the input voltage at the output without loading the input voltage source with a stiff output.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
Ri	Inner resistance of input voltage source [Ohm]
Rl	Load resistance [Ohm]

Modelica.Electrical.Analog.Examples.OpAmps.Comparator

Comparator

Information

This is a comparator. Resistance R1 can be chosen, resistance R2 is defined by the desired reference voltage Vref (between Vn and Vp). The output switches between Vn for input voltage < Vref and Vp for input voltage > Vref.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
Vref	Reference voltage [V]
k	Calculated potentiometer ratio to reach Vref
R	Resistance of potentiometer [Ohm]

Modelica.Electrical.Analog.Examples.OpAmps.InvertingSchmittTrigger

Inverting Schmitt trigger with hysteresis

Information

This is a (inverting) Schmitt trigger. Resistance R1 can be chosen, resistance R2 is defined by the desired hysteresis. The output gets Vn for input voltage > 0 + vHys and Vp for input voltage < vHys*Vns/Vps.

The example is taken from: U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 6.5.2

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
vHys	(Positive) hysteresis voltage [V]
k	Auxiliary calculated parameter to be used in R2 calculation
R1	Arbitrary resistance [Ohm]
R2	Calculated resistance to reach hysteresis voltage [Ohm]

Modelica.Electrical.Analog.Examples.OpAmps.SchmittTrigger

Schmitt trigger with hysteresis

Information

This is a (non-inverting) Schmitt trigger. Resistance R1 can be chosen, resistance R2 is defined by the desired hysteresis. The output gets Vp for input voltage > vHys and Vn for input voltage < vHys*Vns/Vps.

The example is taken from: U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 6.5.2

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
Vin	Amplitude of input voltage [V]
f	Frequency of input voltage [Hz]
vHys	(Positive) hysteresis voltage [V]
k	Auxiliary calculated parameter to be used in R2 calculation
R1	Arbitrary resistance [Ohm]
R2	Calculated resistance to reach hysteresis voltage [Ohm]

Modelica.Electrical.Analog.Examples.OpAmps.Multivibrator

Multivibrator with Schmitt trigger

Information

This is a Multivibrator with Schmitt trigger according to:

U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 6.5.3

As the initialization system has two solutions, one with the op amp output at the lower saturation limit, and the other one with the two voltage inputs very close to each other, the homotopyType parameter is set to get the solver to converge to the former one, which is the required solution.

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
f	Desired frequency [Hz]
R1	Resistance 1 for adjusting the Schmitt trigger voltage level [Ohm]
R2	Resistance 2 for adjusting the Schmitt trigger voltage level [Ohm]
R	Arbitrary resistance [Ohm]
C	Calculated capacitance to reach the desired frequency f [F]

Modelica.Electrical.Analog.Examples.OpAmps.SignalGenerator

Rectangle-Triangle generator

Information

This signal generator consists of a Schmitt trigger and an integrator. The output of the Schmitt trigger part opamp (opAmp1) is a rectangular signal with the amplitude VAmp and the frequency f. The output of the integrator part opamp (opAmp2) is a triangular signal of also the amplitude Vamp and the frequency f.

Source:

U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 14.5.2

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
Vps	Positive supply [V]
Vns	Negative supply [V]
VAmp	Desired amplitude of output [V]
R1	Arbitrary resistance for Schmitt trigger part [Ohm]
R2	Calculated resistance for Schmitt trigger to reach VAmp [Ohm]
f	Desired frequency [Hz]
R	Arbitrary resistance of integrator part [Ohm]
C	Calculated capacitance of integrator part to reach f [F]

Modelica.Electrical.Analog.Examples.OpAmps.LCOscillator

LC oscillator

Information

This is an LC oscillator according to:

U. Tietze and C. Schenk, Halbleiter-Schaltungstechnik (German), 11th edition, Springer 1999, Chapter 14.1

Extends from Modelica.Icons.Example (Icon for runnable examples).

Parameters

Name	Description
VAmp	Amplitude of output [V]
f	Desired frequency [Hz]
A	Amplification constant: A > 1 amplification, A = 1 pure sinusoidal oscillation, A < 0 damping
L	Arbitrary inductance > 0 [H]
C	Calculated capacitance to reach frequency f [F]
R	Damping resistance [Ohm]
R1	Arbitrary high resistance [Ohm]
R2	Calculated resistance to reach amplification A [Ohm]
gamma	Calculated characteristical parameter

Automatically generated Thu Oct 1 16:07:38 2020.