WEEK 7 MODELLING FREQUENCY RESPONSE

Objectives

To learn how to get frequency response from an approximate linear FOPDT model. To observe the frequency response of the approximate linear FOPDT model for a system. To observe the impact of parameter values on the frequency response.

Modelling Assignment

Disk File Suggestion: For all your data files that you save this week, start their names with "W7" (meaning week #7)

Week 8 Report

A draft of Week 8 Report is due the second school day before the next scheduled lab meeting.

WEEK 8 REPORT CONTENTS

FREQUENCY RESPONSE

Introduction

Theory & Background

Description & explanation of system components & connections

Schematic diagram

Input function(s) and output function

Theory & governing equations for components and system

Time domain and Laplace domain descriptions, OLTF

Approximate linear FOPDT model

Block diagram

Frequency response theory (like S&C, example 7-10)

Modelling

Equations & methods used in modelling

Procedure

Results

Experimental results. Estimates of errors in results.

Experimental and modelling results for sine input (typical curves, amplitude ratios, phase lags)

Experimental and modelling Bode plots (Kcu, wu, order of the system) (like S&C, example 7-11)

Discussion

Comparison among theory, experiment & modelling for sine input

Conclusions

Recommendation

Appendices

Physical properties

Modelling diagram, equations

Data curves & calculations

Attachments

Include a sheet for each team member that describes the contribution to the work in the laboratory since last reported.

Disk File Suggestion: Use file names beginning with "WR8"

WEEK 8 REPORTS & PLANT VISIT

Week 8 Report

Submission of final report and oral presentation (10 minute limit).

Brief system description, including input & output functions

Review of performance curves (SSOC)

Description of frequency response experiments

Sample time response graph: Transients, steady oscillation, amplitude ratio (AR) & phase shift

Experimental Bode plots--order of the system

Modelling approach (approximate FOPDT)

Comparison of results of experiment & approximate model

Modelling results' Bode plot

Comparisons of experimental results and approximate modelling results

Conclusion(s) about system

Conclusion(s) about approximate model

Some suggested slides for Week 8 Report

Background Theory Modelling Results Conclusions	Theory Transfer function Parameters	Results Time response Experimental Approximate model Bode plots Kcu, wu, order of the system
Background System Input Output SSOC Operating Range	Modelling Model equations Parameters	Conclusions