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USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of...
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Transcript of USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of...
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USING USING LINEAR ANALYSISLINEAR ANALYSIS IN MATLAB IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14)FOR MEP 1422/1522 (MATLAB V7, R14)
Dr. Nik Rumzi Nik Idris
Dept. of Energy ConversionFakulti Kejuruteraan ElektrikUniversiti Teknologi Malaysia
![Page 2: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/2.jpg)
)1s1.0(s100
GOL
Say, we need to obtain Bode plot of this TF:
Which can be constructed using SIMULINK blocks:
Fakulti Kejuruteraan Elektrik
![Page 3: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/3.jpg)
We can to put dummy blocks so that we can define the input-output points
Fakulti Kejuruteraan Elektrik
![Page 4: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/4.jpg)
Right click the input point and select Linearization Points Input Point
Fakulti Kejuruteraan Elektrik
![Page 5: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/5.jpg)
Right click the output point and select Linearization Points Output Point
Fakulti Kejuruteraan Elektrik
![Page 6: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/6.jpg)
Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
![Page 7: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/7.jpg)
Start the Linear Analysis: Tools Control Design Linear Analysis
Fakulti Kejuruteraan Elektrik
![Page 8: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/8.jpg)
Select the Bode response plot and Linearize Model
Fakulti Kejuruteraan Elektrik
![Page 9: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/9.jpg)
Select the Bode response plot and Linearize Model
Fakulti Kejuruteraan Elektrik
![Page 10: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/10.jpg)
Try to place input point at several different input points. For each points, obtain the Bode plot
Fakulti Kejuruteraan Elektrik
![Page 11: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/11.jpg)
The Bode plots of the 3 different input points:
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
Fakulti Kejuruteraan Elektrik
![Page 12: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/12.jpg)
Open-loop and close-loop plots
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-180
-135
-90
-45
0
Phas
e (d
eg)
Crossover frequency approximates close–loop bandwidth
Fakulti Kejuruteraan Elektrik
![Page 13: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/13.jpg)
s
s1k
pik
ki
• Contain a zero and a pole at origin• DC gain can be adjusted independently from
location of zero
Transfer function
PI controller
Fakulti Kejuruteraan Elektrik
![Page 14: USING LINEAR ANALYSIS IN MATLAB FOR MEP 1422/1522 (MATLAB V7, R14) Dr. Nik Rumzi Nik Idris Dept. of Energy Conversion Fakulti Kejuruteraan Elektrik Universiti.](https://reader036.fdocuments.in/reader036/viewer/2022062308/56649d6a5503460f94a48662/html5/thumbnails/14.jpg)
PI controller
Bode Diagram
Frequency (rad/sec)
-100
-50
0
50
100From: Input Point To: Output Point
Mag
nitu
de (
dB)
10-1
100
101
102
103
-90
-45
0
Phas
e (d
eg)
ki=1, kp=0.1
ki=100, kp=10
Fakulti Kejuruteraan Elektrik