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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2988
Comparative Analysis between PI and Fuzzy Controller for
Speed Control of Induction Motor
Prof. B. Sampathkumar1, Kangale Shubhangi Shital2, Kamble Prajkta Rajendra3
1Assistant Professor at Electrical Department of Fabtech technical Campus, Sangola, Maharashtra, India
2,3Student at Electrical Department of Fabtech technical Campus, Sangola, Maharashtra, India
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract – This paper portrays the way of
implementing fuzzy logic in improving the performance
of induction motor drive. Here a rule-based fuzzy logic
based controller isdesignedand simulated with thehelp
of mat lab. A pi controller is also designed in Simulink.
Then performances of both the controller aresimulated
and compared. For controlling speed herescalarcontrol
method is employed, where magnitude of the stator
voltage and frequency is changed proportionately. For
this v/f control, a reference speed is chosen and
controller is designed as such, it can provide that
desired (reference) speed in case of frequent load
changes. The major merit of fuzzy controller over pi
controller is use of linguistic variable and user defined
rule base that makes it possible to incorporate human
intelligence in the controller. Fuzzy logic based
controller also has the capability to control both linear
and nonlinear system.
Key Words: V/F Control method, Fuzzy logic Control, PI
Control, Speed Variation, MATLAB Simulation, etc.
1. INTRODUCTION
In recent years the control of high-performance
induction motor drives has received widespread research
interests. it has been valued more not only because it is the
most used motor in industries but also due to their varied
modes of operation. Also it has good self-starting capability,
simple, rugged structure, low cost and reliability etc. main
property that makes it more useful for industries is its low
sensibility to disturbance and maintenance free operation.
Despite of many advantages of induction motor there are
some disadvantages also. Like it is not true constant speed
motor, slip varies from less than 1% to more than 5%.Alsoit
is not capable of providing variablespeedoperation. Butasit
is so useful for industries we have to find some solution to
solve these limitations and the solution is speed controller
that can take necessary control action to provide the
required speed. Not only speed, it can control various
parameters of the induction machine such as flux, torque,
voltage, stator current. out of the several methods of speed
control of an induction such as changing no of pole, rotor
resistance control, stator voltage control, slip power
recovery scheme and constant v/f control, the closed loop
constant v/f speed control method is most popular method
used for controlling speed.
In this method, the v/f ratio is kept constant which in
turn maintains the magnetizing flux constantthat eliminates
harmonic problem and also the maximum torque also does
not change. So, it’s a kind of complete utilization of the
motor. And the controller used is conventional p-icontroller,
and fuzzy logic controller.
2. PI- Controller
Induction machines are most frequently used in
industries due to their robustness, low cost and reliability
and high efficiency. Squirrel cage rotor, is the most widely
used source of mechanical power fed from ac power system
due to its low sensitivity to disturbance. In spite of many
advantages induction motor has two inherent limitations
during starting, induction motor draws large current which
produces voltage dips oscillatory torques and also able to
generate harmonics in the power system. When accuracy in
speed response is a concern, closed-loop speed control is
implemented. With the constant v/f control. A PI- controller
is employed to regulate the slip speed of the motor to keep
the motor speed at its set value.
2.1 Closed loop v/f speed control method by using
PI- Controller:
Speed control could have been donewithopen-loop
also. Open-loop control is the simplest type of control
without any feedback loop, and without much complexity.
But there lies many advantages of closed loop control over
open loop control, for which closed loop control is preferred
over open loop control.
The controlled variable (speed) accurately follows
the desired value (specified speed).
Effect of external disturbances on controlled
variable (speed) is very less also; use of feedback in the
control greatly improves the speedofitsresponsecompared
to that of open-loop case.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2989
Fig 2.1.1 Block diagram of V/F Control using PI Controller
Closed loopspeedcontrollerwithp-icontrolleradds
some performance improvement to open-loop v/f control.
The speed loop error generates a command through the p-i
controller and limiter. That slips command again added to
the feedback speed signal to generate frequency command.
The frequency command again generates corresponding
voltage command to have constant flux. With change in
loading generally speed gets decreased to some value lower
than the previous value. But as this drive is constant speed
drive, if speed gets decreased with loading, the speed error
loop start working spontaneously and give the command to
increase the frequency to such a value so as to maintain that
constant value of speed.
First a closed loop v/f control with p-i controller is
simulated where p-i controller and vsi will be connected to
the induction motor. then a feedback of rotor speed will be
taken from the induction motor and compared with the
reference speed and then the error will be fed to the
controller and output of the p-i controller will fed to the vsi.
In that way performance of induction motor with this
controller is studied.
3.1 Fuzzy logic Controller:
Fuzzy logic is a superset of Boolean logic whichhasbeen
extended to handle the concept of partial truth- truth values
between "completely true" and "completely false". it is the
logic basic modes of reasoningwhichareapproximaterather
than exact. Fuzzy logic replicates human knowledge in to
control logic. The essential characteristics of fuzzy logic as
founded by zader lotfi are as follows.
 Any logical system can be fuzzified.
 In fuzzy logic, knowledge is interpreted as a
collection of elastic or, equivalently,fuzzyconstraint
on a collection of variables.
 No need of any exact mathematical model.
So the main purpose of designing fuzzy controller is to
embody the human intelligenceorhumanlikethinkingin the
controller to control the process parameters. Fuzzy
controller basically contains four essential segments
3.2 Configuration of fuzzy logic Controller
Principal components of fuzzy logic controller:
1. fuzzification block or fuzzifier
2. knowledge base
3. decision making block
4. defuzzification block or defuzzifier
Fig 3.2.1 Block diagram of Fuzzy Controller
3.2.1 Fuzzifier:
As discussed previously fuzzy logic based on
linguistic variable but since input given to the flc block is in
numeric form so first thing to be done is to convert the
numerical data/variable into linguisticvariableandthistask
is performed by the fuzzifier. So fuzzifier converts the
numerical variable given to the flc into linguistic variable.
This fuzzification task includes choosing proper mf for the
variables so that the crisp inputs can be convertedintofuzzy
sets.
3.2.2 Knowledge base:
Knowledge base is consist of rule base and data
base. The main aim of data base is to provide necessary
definitions needed to define the linguistic control rules and
the aim of rule base is to characterize the control goals and
policies by using a set of linguistic or if-then rules. In the if-
then statement, if part is called antecedent and the then part
is called consequence.
3.2.3 Decision making block:
It is the most important component of a fuzzy
controller because it is the block decides the output
depending upon the input. Basedonfuzzyconcepts,data and
rule bases, it provide reasonable output.
3.2.4 Defuzzifier:
It performs the task just opposite to that of fuzzifier. So the
task of defuzzifier is to convert the linguistic variable into
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2990
crisp one. There are different types of defuzzification
techniques present for defuzzication.
1. Centroid of Area (COA)
2. Bisector of Area (BOA)
3. Mean of Maximum (MOM)
4. Smallest of Minimum (SOM)
5. Largest of Maximum (LOM)
For designing a fuzzy logic based controller, first thing
we have to decide is what will be the inputs. As ourmainaim
is to provide constant speed during load changes so the
variable to be controlled will be speed. The fuzzy controller
controlled drive is providing better results in improving the
performance of the induction motor than pi controller.
Whenever the machine is loaded, the speed of the machine
fell to some extent but this fall in speed is very less in case of
fuzzy controller controlled drive. So we can say that
overshoot is more in case of pi controller and overall we can
say that fuzzy controller is proving better result than pi
controller.
4.1 MATLAB Simulation
Fig 4.1.1 Simulation diagram of PI Speed controller
Fig 4.1.2 Simulation diagram of Fuzzy Logic Speed
controller
5.1 Result
Chart 5.1.1 Speed vs. Time Plot with PI Controller
Chart 5.1.2 Speed vs. Time Plot with Fuzzy logic
Controller
Chart 5.1.3. Comparison between different Controller
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2991
6. Conclusion
The main objective or the main concern of this
project is to control the speed and provide better
performance with frequent load changes. Withthisobjective
we focused to develop a fuzzy logic based controller with
possible precision. For that we have chosen appropriate
membership function and some if-then rules. Also we tried
to tune the controller by slightly changing mfs and rules.
In this project a fuzzy logic based controller is
designed with the help of mat lab, which can be utilized in
speed control of induction motor. The controller takes
numerical input of speed error (e) and change inspeed error
(δe), processes those inputs according to the rule framed
and then provide a output called change in control. All the
rules have been verified with the help of fis editor rule
viewer. Results are also shown for different error and
change in error. After simulating and comparing the results
with conventional controller, it is concluded that fuzzy
controller works efficiently for induction motor drive.
7. Future Scopes:
Both the speed controller block basedonfuzzylogic
and the block diagram to control the speed of induction
motor using that speed controller. These blocks are
simulated and results are analyzed. Also the controller is
tuned when needed to provide desired results. This control
mechanism based on fuzzy logic is not restricted to the
induction motor only. It is applicable and can be used for
other areas also. Now days a number of fuzzy logic-based
precision environmental control systems are also available
which are used for applications such as digital switching
sites. Tuning of fuzzy controller has become easy due to
different strategies like genetic algorithm.
8. References:
[1] j.-s. r. jang, c.-t. sun, e. mizutani, “neuro fuzzyandsoft
computing,” pearson education pte. ltd., isbn 81-297-
0324-6, 1997, chap. 2, chap. 3, chap. 4.
[2] gilberto c. d. sousa, bimal k. boseand johng.cleland,
“fuzzy logic based on- line efficiency optimization
control of an indirect vector-controlledinductionmotor
Drive” IEEE transaction on industrial electronics, vol 4,
no 2, April 1995.
[3] g. el-saady, a.m. sharaf, a. makky, m.k. sherriny, and
g. mohamed, “a high performance induction motor
system using fuzzy logic controller,” ieee trans. 07803-
1772-6/94, pp. 1058-1061, 1994.
[4] r.ouiguini, k. djeffal, a.oussedik and r. megartsi,
“speed control of an induction motor using the fuzzy
logic approach.”, isie‟97 - guimariies, portugal, ieee
catalog number: 97th8280, vol.3, pg. 1168 – 1172.
[5]martínez garcía, j.a. domínguez, “comparison
between fuzzy logic and pi controls in a speed scalar
control of an induction machine,” Circe – ge3 –
department deingeniería eléctrica c.p.s., Universidadde
zaragoza, conf. paper
[6] k.l.shi,t.f.chan,y. k. yong and s.l.ho: “modeling and
simulation of three phase induction motor using
simulink/matlab”,ieee trnsactions on industry
applications,vol.37,no.5,september/october2001.
[7] abdullah i. al-odienat, ayman a. al-lawama, “the
advantages of pid fuzzy controllers over the
conventional types,” american journal of applied
sciences 5 (6):653-658, 2008, issn 1546-9239,pp.653–
658.

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Comparative Analysis of PI and Fuzzy Controllers for Speed Control of Induction Motor

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2988 Comparative Analysis between PI and Fuzzy Controller for Speed Control of Induction Motor Prof. B. Sampathkumar1, Kangale Shubhangi Shital2, Kamble Prajkta Rajendra3 1Assistant Professor at Electrical Department of Fabtech technical Campus, Sangola, Maharashtra, India 2,3Student at Electrical Department of Fabtech technical Campus, Sangola, Maharashtra, India ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – This paper portrays the way of implementing fuzzy logic in improving the performance of induction motor drive. Here a rule-based fuzzy logic based controller isdesignedand simulated with thehelp of mat lab. A pi controller is also designed in Simulink. Then performances of both the controller aresimulated and compared. For controlling speed herescalarcontrol method is employed, where magnitude of the stator voltage and frequency is changed proportionately. For this v/f control, a reference speed is chosen and controller is designed as such, it can provide that desired (reference) speed in case of frequent load changes. The major merit of fuzzy controller over pi controller is use of linguistic variable and user defined rule base that makes it possible to incorporate human intelligence in the controller. Fuzzy logic based controller also has the capability to control both linear and nonlinear system. Key Words: V/F Control method, Fuzzy logic Control, PI Control, Speed Variation, MATLAB Simulation, etc. 1. INTRODUCTION In recent years the control of high-performance induction motor drives has received widespread research interests. it has been valued more not only because it is the most used motor in industries but also due to their varied modes of operation. Also it has good self-starting capability, simple, rugged structure, low cost and reliability etc. main property that makes it more useful for industries is its low sensibility to disturbance and maintenance free operation. Despite of many advantages of induction motor there are some disadvantages also. Like it is not true constant speed motor, slip varies from less than 1% to more than 5%.Alsoit is not capable of providing variablespeedoperation. Butasit is so useful for industries we have to find some solution to solve these limitations and the solution is speed controller that can take necessary control action to provide the required speed. Not only speed, it can control various parameters of the induction machine such as flux, torque, voltage, stator current. out of the several methods of speed control of an induction such as changing no of pole, rotor resistance control, stator voltage control, slip power recovery scheme and constant v/f control, the closed loop constant v/f speed control method is most popular method used for controlling speed. In this method, the v/f ratio is kept constant which in turn maintains the magnetizing flux constantthat eliminates harmonic problem and also the maximum torque also does not change. So, it’s a kind of complete utilization of the motor. And the controller used is conventional p-icontroller, and fuzzy logic controller. 2. PI- Controller Induction machines are most frequently used in industries due to their robustness, low cost and reliability and high efficiency. Squirrel cage rotor, is the most widely used source of mechanical power fed from ac power system due to its low sensitivity to disturbance. In spite of many advantages induction motor has two inherent limitations during starting, induction motor draws large current which produces voltage dips oscillatory torques and also able to generate harmonics in the power system. When accuracy in speed response is a concern, closed-loop speed control is implemented. With the constant v/f control. A PI- controller is employed to regulate the slip speed of the motor to keep the motor speed at its set value. 2.1 Closed loop v/f speed control method by using PI- Controller: Speed control could have been donewithopen-loop also. Open-loop control is the simplest type of control without any feedback loop, and without much complexity. But there lies many advantages of closed loop control over open loop control, for which closed loop control is preferred over open loop control. The controlled variable (speed) accurately follows the desired value (specified speed). Effect of external disturbances on controlled variable (speed) is very less also; use of feedback in the control greatly improves the speedofitsresponsecompared to that of open-loop case.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2989 Fig 2.1.1 Block diagram of V/F Control using PI Controller Closed loopspeedcontrollerwithp-icontrolleradds some performance improvement to open-loop v/f control. The speed loop error generates a command through the p-i controller and limiter. That slips command again added to the feedback speed signal to generate frequency command. The frequency command again generates corresponding voltage command to have constant flux. With change in loading generally speed gets decreased to some value lower than the previous value. But as this drive is constant speed drive, if speed gets decreased with loading, the speed error loop start working spontaneously and give the command to increase the frequency to such a value so as to maintain that constant value of speed. First a closed loop v/f control with p-i controller is simulated where p-i controller and vsi will be connected to the induction motor. then a feedback of rotor speed will be taken from the induction motor and compared with the reference speed and then the error will be fed to the controller and output of the p-i controller will fed to the vsi. In that way performance of induction motor with this controller is studied. 3.1 Fuzzy logic Controller: Fuzzy logic is a superset of Boolean logic whichhasbeen extended to handle the concept of partial truth- truth values between "completely true" and "completely false". it is the logic basic modes of reasoningwhichareapproximaterather than exact. Fuzzy logic replicates human knowledge in to control logic. The essential characteristics of fuzzy logic as founded by zader lotfi are as follows.  Any logical system can be fuzzified.  In fuzzy logic, knowledge is interpreted as a collection of elastic or, equivalently,fuzzyconstraint on a collection of variables.  No need of any exact mathematical model. So the main purpose of designing fuzzy controller is to embody the human intelligenceorhumanlikethinkingin the controller to control the process parameters. Fuzzy controller basically contains four essential segments 3.2 Configuration of fuzzy logic Controller Principal components of fuzzy logic controller: 1. fuzzification block or fuzzifier 2. knowledge base 3. decision making block 4. defuzzification block or defuzzifier Fig 3.2.1 Block diagram of Fuzzy Controller 3.2.1 Fuzzifier: As discussed previously fuzzy logic based on linguistic variable but since input given to the flc block is in numeric form so first thing to be done is to convert the numerical data/variable into linguisticvariableandthistask is performed by the fuzzifier. So fuzzifier converts the numerical variable given to the flc into linguistic variable. This fuzzification task includes choosing proper mf for the variables so that the crisp inputs can be convertedintofuzzy sets. 3.2.2 Knowledge base: Knowledge base is consist of rule base and data base. The main aim of data base is to provide necessary definitions needed to define the linguistic control rules and the aim of rule base is to characterize the control goals and policies by using a set of linguistic or if-then rules. In the if- then statement, if part is called antecedent and the then part is called consequence. 3.2.3 Decision making block: It is the most important component of a fuzzy controller because it is the block decides the output depending upon the input. Basedonfuzzyconcepts,data and rule bases, it provide reasonable output. 3.2.4 Defuzzifier: It performs the task just opposite to that of fuzzifier. So the task of defuzzifier is to convert the linguistic variable into
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2990 crisp one. There are different types of defuzzification techniques present for defuzzication. 1. Centroid of Area (COA) 2. Bisector of Area (BOA) 3. Mean of Maximum (MOM) 4. Smallest of Minimum (SOM) 5. Largest of Maximum (LOM) For designing a fuzzy logic based controller, first thing we have to decide is what will be the inputs. As ourmainaim is to provide constant speed during load changes so the variable to be controlled will be speed. The fuzzy controller controlled drive is providing better results in improving the performance of the induction motor than pi controller. Whenever the machine is loaded, the speed of the machine fell to some extent but this fall in speed is very less in case of fuzzy controller controlled drive. So we can say that overshoot is more in case of pi controller and overall we can say that fuzzy controller is proving better result than pi controller. 4.1 MATLAB Simulation Fig 4.1.1 Simulation diagram of PI Speed controller Fig 4.1.2 Simulation diagram of Fuzzy Logic Speed controller 5.1 Result Chart 5.1.1 Speed vs. Time Plot with PI Controller Chart 5.1.2 Speed vs. Time Plot with Fuzzy logic Controller Chart 5.1.3. Comparison between different Controller
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2991 6. Conclusion The main objective or the main concern of this project is to control the speed and provide better performance with frequent load changes. Withthisobjective we focused to develop a fuzzy logic based controller with possible precision. For that we have chosen appropriate membership function and some if-then rules. Also we tried to tune the controller by slightly changing mfs and rules. In this project a fuzzy logic based controller is designed with the help of mat lab, which can be utilized in speed control of induction motor. The controller takes numerical input of speed error (e) and change inspeed error (δe), processes those inputs according to the rule framed and then provide a output called change in control. All the rules have been verified with the help of fis editor rule viewer. Results are also shown for different error and change in error. After simulating and comparing the results with conventional controller, it is concluded that fuzzy controller works efficiently for induction motor drive. 7. Future Scopes: Both the speed controller block basedonfuzzylogic and the block diagram to control the speed of induction motor using that speed controller. These blocks are simulated and results are analyzed. Also the controller is tuned when needed to provide desired results. This control mechanism based on fuzzy logic is not restricted to the induction motor only. It is applicable and can be used for other areas also. Now days a number of fuzzy logic-based precision environmental control systems are also available which are used for applications such as digital switching sites. Tuning of fuzzy controller has become easy due to different strategies like genetic algorithm. 8. References: [1] j.-s. r. jang, c.-t. sun, e. mizutani, “neuro fuzzyandsoft computing,” pearson education pte. ltd., isbn 81-297- 0324-6, 1997, chap. 2, chap. 3, chap. 4. [2] gilberto c. d. sousa, bimal k. boseand johng.cleland, “fuzzy logic based on- line efficiency optimization control of an indirect vector-controlledinductionmotor Drive” IEEE transaction on industrial electronics, vol 4, no 2, April 1995. [3] g. el-saady, a.m. sharaf, a. makky, m.k. sherriny, and g. mohamed, “a high performance induction motor system using fuzzy logic controller,” ieee trans. 07803- 1772-6/94, pp. 1058-1061, 1994. [4] r.ouiguini, k. djeffal, a.oussedik and r. megartsi, “speed control of an induction motor using the fuzzy logic approach.”, isie‟97 - guimariies, portugal, ieee catalog number: 97th8280, vol.3, pg. 1168 – 1172. [5]martínez garcía, j.a. domínguez, “comparison between fuzzy logic and pi controls in a speed scalar control of an induction machine,” Circe – ge3 – department deingeniería eléctrica c.p.s., Universidadde zaragoza, conf. paper [6] k.l.shi,t.f.chan,y. k. yong and s.l.ho: “modeling and simulation of three phase induction motor using simulink/matlab”,ieee trnsactions on industry applications,vol.37,no.5,september/october2001. [7] abdullah i. al-odienat, ayman a. al-lawama, “the advantages of pid fuzzy controllers over the conventional types,” american journal of applied sciences 5 (6):653-658, 2008, issn 1546-9239,pp.653– 658.