class 12 - mathematical modeling of hydraulic system

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System Modeling Coursework P.R. VENKATESWARAN Faculty, Instrumentation and Control Engineering, Manipal Institute of Technology, Manipal Karnataka 576 104 INDIA Ph: 0820 2925154, 2925152 Fax: 0820 2571071 Email: [email protected] , [email protected] Web address: http://www.esnips.com/web/SystemModelingClassNotes Class 12: Modeling of Hydraulic systems

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Page 1: Class 12 - Mathematical Modeling of Hydraulic System

System Modeling Coursework

P.R. VENKATESWARANFaculty, Instrumentation and Control Engineering,

Manipal Institute of Technology, ManipalKarnataka 576 104 INDIAPh: 0820 2925154, 2925152

Fax: 0820 2571071Email: [email protected], [email protected]

Web address: http://www.esnips.com/web/SystemModelingClassNotes

Class 12: Modeling of Hydraulic systems

Page 2: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 2

WARNING!

I claim no originality in all these notes. These are the compilation from various sources for the purpose of delivering lectures. I humbly acknowledge the wonderful help provided by the original sources in this compilation.

For best results, it is always suggested you read the source material.

Of late, this has becoming supplement to what is taught in the class. So BEWARE! You are on two tracks!

Page 3: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 3

Contents

Description of a hydraulic system•

Model of the hydraulic system

Some questions.

Page 4: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 4

Hydraulic devices

They are used in hydraulic feedback systems and in combined electro-mechanical-hydraulic systems.

In hydraulic devices, power is transmitted through the action of fluid flow under pressure and the fluid is incompressible.

The fluid used are petroleum based oils and non – inflammable synthetic oils.

Page 5: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 5

Classification of hydraulic devices

Hydraulic devices used in control systems are generally classified as hydraulic motors and hydraulic linear actuators.

The output of a hydraulic motor is rotary motion and that of linear actuator is translational. The hydraulic motor is physically smaller in size than an electric motor for the same output.

Applications are power steering and brakes in automobiles, steering mechanisms in large ships, control of machine tools etc.

Page 6: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 6

Advantages of hydraulic devices

Hydraulic fluid acts as a lubricant and coolant•

Comparatively small sized hydraulic actuators can develop large forces or torques

Hydraulic actuators can be operated under continuous, intermittent reversing and stalled conditions without damage

Hydraulic actuators have a higher speed of response. They offer fast starts, stops and speed reversals.

Page 7: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 7

Advantages of Hydraulic devices

With availability of both linear and rotary actuators, the design has become more flexible.

Because of low leakages in hydraulic actuators, when loads are applied the drop in speed will be small.

Hydraulic components are more rugged than their counterparts

Page 8: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 8

Disadvantages of hydraulic devices

Hydraulic power is not readily available compared to electric power

Inherent problems of leaks and sealing them against foreign particles

Operating noise•

Costs more compared to electrical system

Fire and explosion hazards exist•

Hydraulic lines are not flexible as electric cables

Highly non linear response

Page 9: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 9

Find the transfer function of this system

Page 10: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 10

Description of the system

Page 11: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 11

Page 12: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 12

Try the rest!

Page 13: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 13

References

1.

Advanced Control Systems Engineering, Ronald Burns

2.

Modern Control Engineering, Ogata3.

Control Systems, Nagoor

Kani

…amongst others

Page 14: Class 12 - Mathematical Modeling of Hydraulic System

July – December 2008 prv/System Modeling Coursework/MIT-Manipal 14

And, before we break…

Life is ten percent what you make it and ninety percent how to take it

Thanks for listening…