WOLFRAM SYSTEMMODELER

FirstOrder

First order transfer function block (= 1 pole)

Wolfram Language

In[1]:=
SystemModel["Modelica.Blocks.Continuous.FirstOrder"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This blocks defines the transfer function between the input u and the output y as first order system:

               k
     y = ------------ * u
            T * s + 1

If you would like to be able to change easily between different transfer functions (FirstOrder, SecondOrder, ... ) by changing parameters, use the general block TransferFunction instead and model a first order SISO system with parameters
b = {k}, a = {T, 1}.

Example:
   parameter: k = 0.3, T = 0.4
   results in:
             0.3
      y = ----------- * u
          0.4 s + 1.0

Parameters (4)

k

Value: 1

Type: Real

Description: Gain

T

Value:

Type: Time (s)

Description: Time Constant

initType

Value: Modelica.Blocks.Types.Init.NoInit

Type: Init

Description: Type of initialization (1: no init, 2: steady state, 3/4: initial output)

y_start

Value: 0

Type: Real

Description: Initial or guess value of output (= state)

Connectors (2)

u

Type: RealInput

Description: Connector of Real input signal

y

Type: RealOutput

Description: Connector of Real output signal

Used in Examples (4)

InverseModel

Modelica.Blocks.Examples

Demonstrates the construction of an inverse model

DCPM_CurrentControlled

Modelica.Electrical.Machines.Examples.DCMachines

Test example: DC with permanent magnet starting with current controller

SpeedControlledDCPM

Modelica.Electrical.Machines.Examples.ControlledDCDrives

Speed controlled DC PM drive with H-bridge from battery

PumpingSystem

Modelica.Fluid.Examples

Model of a pumping system for drinking water

Used in Components (4)

Controller

Modelica.Blocks.Examples.NoiseExamples.Utilities.Parts

Simple position controller for actuator

DcdcInverter

Modelica.Electrical.Machines.Examples.ControlledDCDrives.Utilities

DC-DC inverter

IdealDcDc

Modelica.Electrical.Machines.Examples.ControlledDCDrives.Utilities

Ideal DC-DC inverter

Filter

Modelica.Electrical.PowerConverters.ACDC.Control

PT1 + all-pass filter