Simulink for MATLAB Approach

1. Model Based System
Design for Automotive
Engineering :A
MATLAB Approach
Online Faculty Development Programme
1/3/2024 1

2. SRI RAMAKRISHNA ENGINEERING COLLEGE
VATTAMALAIPALAYAM, N.G.G.O. COLONY POST, COIMBATORE – 641 022.
DEPARTMENT OF ELECTRONICS AND INSTRUMENTATION ENGINEERING
Model Based System Design for Automotive Engineering
:A MATLAB Approach
Overview of Model Based System Engineering
using SIMULINK
1/3/2024 2
Online Faculty Development Programme

3. Overview of Model Based System
Engineering using SIMULINK
Session Overview
• Analyze the performance of the real-world
model
• Why do we use Simulink?
• Pre-Requirements: No Pre- Requirements
Needed
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4. What we will be covering in this session?
• Project 1: Generating, displaying, and exporting the sine
wave using SIMULINK.
• Project 2: Building a system involving Mathematical
Equations using SIMULINK.
• Project 3: Building a Mass Spring Damper system
involving the Time domain using SIMULINK.
• Project 4: Building a Mass Spring Damper system
involving the S-domain using SIMULINK.
• Project 5: Simulate a battery model using SIMULINK.
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5. Generating, displaying, and exporting the sine wave using
SIMULINK.
• Select blocks from the Simulink library.
• Add up and view two signals in Simulink.
• Generate sine wave and tune its parameters.
• Change the model configuration parameters.
• Export a variable into the workspace and plot
it.
• Magnify a signal using a gain multiplier.
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6. Building a system involving Mathematical Equations
using SIMULINK.
• To Design a Simulink model based on an equation
that contains differentiation and Integration.
• To call the Simulink model from M-script.
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7. • Mass spring damper system in the Time domain
• They are present in all the vehicles that we use in
the day to day life
• outcome:
 How to simulate a function in time domain
 how to develope mass spring damper system
 how to derive a mathamatical equation from
newton's second law of motion.
 drawing a system free body diagram and effects
of changing the system parameters in the simulink
model.
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Building a Mass Spring Damper system
involving the Time domain using
SIMULINK.

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Building a Mass Spring Damper system
involving the Time domain using
SIMULINK.
How do damper works?

9. 9
SPRING & DAMPER NO DAMPER
Building a Mass Spring Damper system
involving the Time domain using
SIMULINK.

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According to Newton’s Second Law of Motion

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According to Newton’s Second Law of Motion

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𝑀𝑥 = 𝐹 − 𝑏𝑥 − 𝑘𝑥
𝑥 = 1/𝑀[𝐹 − 𝑏𝑥 − 𝑘𝑥]
Assume M = 1 Kg, b = 1 Ns/m, k = 20 N/m

15. • 𝑀𝑥 = 𝐹 − 𝑏𝑥 − 𝑘𝑥
• 𝑀𝑠2
𝑋 𝑠 = 𝐹 𝑠 − 𝑏𝑠𝑋 𝑠 − 𝑘𝑋 𝑠
𝑋(𝑠)
𝐹(𝑠)
=
1
𝑀𝑠2 + 𝑏𝑠 + 𝑘
Assume M = 1 Kg, b = 1 Ns/m, k = 20 N/m
𝑋(𝑠)
𝐹(𝑠)
=
1
𝑠𝑠 + 1𝑠 + 20
http://ctms.engin.umich.edu/CTMS/index.php
?example=Introduction&section=ControlPID
15
INTRODUCTION TO CONTROL SYSTEMS: PRACTICAL EXAMPLE
2. LET’S DEVELOP A MATHEMATICAL MODEL
TRANSFER
FUNCTION
TRANSFER
FUNCTION
𝑋(𝑠)
𝐹(𝑠)
𝐼𝑁𝑃𝑈𝑇 𝑂𝑈𝑇𝑃𝑈𝑇
Building a Mass Spring Damper system
involving the S-domain using SIMULINK.

16. • Used to Monitor Battery parameters such as SOC
Battery
Model
Error ~
0
Input
Current
Output
Voltage
5 10 15 20
-150
-120
-90
-60
-30
0
30
60
90
120
150
Time (Mins)
Current
(Amps)
Pack Current - UDDS
0 5 10 15 20 25 30 35 40
260
270
280
290
300
310
320
330
340
350
360
370
380
Time(min)
Terminal
Voltage(V)
Pack Terminal Voltage
BATTERY MODELING: WHY BATTERY MODELING?
16
http://epg.eng.ox.ac.uk/tags/battery-modelling-state-charge-battery-management-system
Simulate a battery model using SIMULINK.

17. • The Open-circuit voltage (OCV) is the difference of electrical potential between two terminals of a device when the
device is disconnected from any circuit.
• There is no external load connected.
• No external electric current flows between the terminals.
17
OPEN CIRCUIT VOLTAGE: DEFINITION
http://www.learningaboutelectronics.com/Articles/What-is-open-circuit-voltage.php
Simulate a battery model using SIMULINK.

18. Example: Battery Open Circuit Voltage
• If you measure the voltage of the battery terminals with a multi-meter, you will read the OCV even if
there is no current is flowing in the circuit.
• The OCV is function of the battery State-of-Charge (SOC).
18
OPEN CIRCUIT VOLTAGE:
Simulate a battery model using SIMULINK.

19. • There is a relationship between the battery Open-circuit voltage (OCV) and State of Charge (SOC).
• The relationship depends on the battery chemistry and the direction of charging and discharging.
19
OPEN CIRCUIT VOLTAGE: SOC-OCV RELATIONSHIP
0 20 40 60 80 100
2.6
2.8
3
3.2
3.4
SOC [%]
Voltage
[V]
Averaged Charging/Discharging SOC - OCV Relationship
SOC - OCV
AVERAGING

20. • OCV-R Battery Model
𝑉𝑇 = 𝑂𝐶𝑉 𝑆𝑂𝐶 − 𝐼 ∗ 𝑅 𝑇, 𝑆𝑂𝐶
0 20 40 60 80 100
2.6
2.8
3
3.2
3.4
SOC [%]
Voltage
[V]
Averaged Charging/Discharging SOC - OCV Relationship
SOC - OCV
𝑆𝑂𝐶 = 𝑆𝑂𝐶
𝑜
−
1
𝐶𝑛 0
𝑡
𝐼 𝑡 𝑑𝑡
SIMPLE MODEL (OCV-R)
20
𝑉𝑘 = 𝑂𝐶𝑉 𝑆𝑂𝐶𝑘 − 𝑖𝑘 ∗ 𝑅
𝑆𝑂𝐶𝑘+1 = 𝑆𝑂𝐶𝑘 −
∆𝑡
𝐶𝑛
𝑖𝑘