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 experiment plates in profile frames. The Profi-CASSY is used to drive these technical controlled systems as well as for recording and analysis of measurement values.

Educational objectives

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

Function
The frequency response of a system is usually illustrated graphically, for which there are two different graphing methods called the Bode plot and the Nyquist plot. With this setup, frequency responses of real transfer components are measured and recorded. For a PT3 controlled system, a PI controller is designed in accordance with the compensation method. In the Bode diagram, the stability of the closed control circuit is determined from the phase margin of the open circuit.

The equipment set incorporates student experiments which can be carried out in a laboratory safely using safety extra-low voltage. Experiment instructions are contained in a manual in either printed or digital form.

Target groups
A training program made for the advanced training study programs at applied technology universities and technical universities. Knowledge of classic control engineering is a prerequisite.

Add-ons
The following sets are recommended for further learning:
E 6.3.4.1 Controlling Electronic Systems
E 6.3.4.2 Digital Controlling
E 6.3.4.3 Fuzzy Controlling

Topics

  • Graphic illustration of the frequency response
  • Frequency responses, fundamental controller components, (P, PT1,PT2, PTt, I)
  • Frequency response of oscillating PT2 component
  • Frequency response of the PTt dead time component
  • Frequency response of the I component
  • Frequency response of series connections
  • Frequency response of a PID controller
  • Stability of control circuits
  • 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
1 734501  4  WINFACT LD Starter (one computer) LD
1 734502  4  WINFACT LD Starter (site license) LD
1 524016S2  8  Profi-CASSY Starter 2 LD
1 72609  4  Panel frame T130, two-level LD
1 72686  4  Stabilised power supply unit ±15 V / 3 A 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
1 775720DE  4  LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain, German LD
1 72610  4  * Panel frame T150, two-level LD
1 775720EN  4  * LIT-print: Frequency Response of Linear Systems and Controller Design in the Frequency Domain LD
1 734504 * WINFACT LD Edition (one computer) LD
1 734505  4  * WINFACT LD Edition (Site Licence) LD
1 additionally required: 1 PC with Windows 7 / 8.1 / 10 (x86 or x64)
Experiments are operated and evaluated with CASSY Lab 2 and WinFACT.

Articles marked with * are not essential, we do however recommend them to carry out the experiment.

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