Frequency Response and Controller Design

VE6.3.4.4
Frequency Response and Controller Design
Frequency Response and Controller Design

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Description

System

The experiments are set up with experimental panels in the profile frame. The Profi-CASSY is used to control this technical controlled system and to record and analyse the measured values.

Learning objectives

  • Measurement of frequency responses
  • Discussion of control systems in the frequency range

Function

The frequency response of a system is usually represented graphically, whereby a distinction must be made between the representation in the form of the Bode diagram and the Nyquist locus curve. This equipment is used to measure the frequency response of real transmission elements. A PI controller is designed for a PT3 controlled system using the compensation method. In the Bode diagram, the stability of the closed control loop is determined from the phase reserve for the open loop.

Method

The equipment includes student experiments in the laboratory with non-hazardous low voltage. Experimental procedures are carried out using a manual in printed or electronic form.

Target group

An internship aimed at further education programmes at technical colleges and technical universities.

Previous knowledge

  • Knowledge of classical control engineering.

Additions

The following equipment is recommended for in-depth study:

  • E6.3.4.1 Control of electronic routes
  • E6.3.4.2 Digital control
  • E6.3.4.3 Fuzzy control

Topics

  • Graphical representation of the frequency response
  • Frequency responses of basic control elements (P, PT1, PT2, PTt, I)
  • Frequency response of the oscillating PT2 element
  • Frequency response of the PTt dead time element
  • Frequency response of the I-element
  • Frequency response of series circuits
  • Frequency response of the PID controller
  • Stability of control loops
  • Controller design in the frequency range

Components of equipment sets

1 734064N  8  PID digital controller net LD
2 734091 Digital Controlled System LD
1 7340891  8  Dead time element LD
1 7340951  8  2nd Order transfer element LD
Measuring devices
1 524016S2  8  Profi-CASSY Starter 2 LD
Literature
1 775720DE  4  LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain, German LD
1 775720EN  4  LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain LD
Software and instructions
1 734504 WINFACT LD Edition (one computer) LD
1 734505  4  WINFACT LD Edition (Site Licence) LD
Power supply
1 72686  4  ** Stabilised power supply unit ±15 V / 3 A LD
Accessories
1 72609  4  ** Panel frame T130, two-level LD
1 72610  4  Panel frame T150, two-level LD
1 50059  8  ** Safety bridging plugs, black, set of 10 LD
1 500592  8  ** Safety bridging plugs with tap, black, set of 10 LD
2 500641  8  ** Safety experiment cable, 100 cm, red LD
2 500642  4  ** Safety experiment cable, 100 cm, blue LD
2 500644  8  ** Safety experiment cable, 100 cm, black LD
1 500612  4  ** Safety experiment cable, 25 cm, blue LD
Additionally required
0 PC with Windows 7/8/10 64 Bit Edition and one free USB interface

Articles marked with ** are additionally required.

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