 Open Access
 Total Downloads : 19
 Authors : U. Poovizhi, V. Srividhya, Dr. Neena Ramesh
 Paper ID : IJERTCONV3IS16092
 Volume & Issue : TITCON – 2015 (Volume 3 – Issue 16)
 Published (First Online): 30072018
 ISSN (Online) : 22780181
 Publisher Name : IJERT
 License: This work is licensed under a Creative Commons Attribution 4.0 International License
Speed Control of Matrix Converter Based Pmsm Drive System
U. Poovizhi 
V. Srividhya 
Dr. Neena Ramesh 
Student, EEE Dept 
Asst.Professor, EEE Dept 
Professor, EEE Dept 
Meenakshi college of Engineering 
Meenakshi college of Engineering 
Meenakshi college of Engineering 
Chennai, India 
Chennai, India 
Chennai, India 
AbstractThis project presents speed control of matrix converter based PMSM drive system. The speed of PMSM drive system can be controlled by using fuzzy logic controller, the speed of PMSM varies by changing the load which creates a drop in voltage. The matrix converter which compensates the drop and given to the PMSM. The simulations are carried out in the MATLAB Environment.
Keywords Matrix converter, fuzzy logic control, permanent magnet synchronous motor.

INTRODUCTION
The permanent magnet synchronous motors are becoming more popular nowadays compared to other ac motors. The advantages of PMSM including high torque, high efficiency, high power and low noise. The high performance drive systems used for drive PMSM in robotics and many other applications. The conventional PI controllers and proportional integral derivative controllers have been widely utilized as speed controllers in PMSM drive systems. For good results d q axis reactance parameters of the PMSM should be known exactly, but it is difficult and conventional fixed gain PI and PID controllers are very sensitive to the step change and load disturbance [3]. To overcome this problem other speed controller has been adopted.
This paper describes the Rejection of Voltage Disturbance for Matrix Converter Using Fuzzy Based PMSM Drive System. The Matrix converter is a device used to convert the voltages ac to ac directly. The main advantage of matrix converter is, it does not have any storage element. Here fuzzy logic control is utilized for the speed control process to obtain the good results.
Fig.1. General Block Diagram of Fuzzy Based PMSM Drive System.
The output current of matrix converter is transformed from abc to dq(Park Transformation and vice versa. Here id is taken as 0 because Flux is zero. And iq can be taken as
torque. The output current of matrix converter is 7.2 A. by varying the load of PMSM the speed varies, the matrix converter which compensates the drop and given to the motor.
A. Mathematical Modeling of PMSM
In dq reference frame, the nonlinear differential equations:

PERMANENT MAGNET SYNCHRONOUS
P
3
3
T
T
e =
m .iq (Ld Lq ).id .iq (1)
MOTOR
The Permanent Magnet Synchronous motor is a rotating electric machine where the stator is a classic threephase stator like that of an induction motor and the rotor has permanent magnets.The use of a permanent magnet to generate a substantial air gap magnetic flux makes it possible to design highly efficient PM motors.
Fig 1 shows the block diagram of fuzzy based PMSM drive system where the matrix converter which converts the AC to AC voltage directly where the input voltage is 230 V.
2 2
d (id ) vd rs .id r .Lq .iq
dt Ld
d (iq ) vq rs .iq r (Ld .id m )
dt Lq
d (rm ) Te TL Brm dt J
P
(2)
(3)
(4)
(5)
The matrix converter converts 230 V to 170 V.
r 2 rm
d
(6)

Operation and Control of the Matrix Converter
r dt
The voltages van , vbn , vcn at the output terminals are
TL is the load torque, B is the viscous friction, J is the
related to the input voltages vAo , vBo , vCo
by the
moment of inertia, vd
and
vq represents dq axes stator
equation.
voltages,
id and iq
is the dq axes stator currents,
Ld and
van
SAa
SBa
SCa vAo
v S S S
i
Lq are the dq axes inductances, r represents electrical
bn
Ab Bb Cb Bo
velocity of the rotor, is the flux linkage due to rotor
vcn
SAc SBc SCc iCo
m
magnets linking the stator, Te is the motor torque, rm is the
mechanical velocity of the rotor, rs is the per phase resistance.
(9)
The input phase currents are related to the output phase currents by the equation
iA SAa
SAb
SAc ia
Here the output voltage of matrix converter is 170 V
i S S S
i
(10)
and output current is transformed from abc to dq.
B
Ba Bb Bc b
iC
SCa
SCb
SCc ic
iq
cos
cos( 120) cos( 120) ia
i 2 sin sin( 120) sin( 120) i
(7)

Switching States of Matrix Converter
d 3 b
Three phase voltages can be divided into six areas
i0
1 1 1
ic
2 2 2
And again dq to abc transformation takes place.
according to their instantaneous magnitudes, which are called input voltage areas. In each area, there are eight input current
modes Ka , Kb , Kc .
ia
cos
sin
1 iq
1, switch SKj closed
i 2 cos( 120) sin( 120) 1 i
(8)
SKj (t) =
(11)
b 3 d
0, switch SKj open
i cos( 120) sin( 120) 1 i
c 0


MATRIX CONVERTER
It consist of nine bidirectional switches which needs commutation to minimize the losses and to produce desired output voltage with high quality input and output waveforms.
The output side quantities of matrix converter are transformed into a direct and quadrature reference frame rotating at the electrical angular speed of the PMSM rotor with the daxis aligned with the rotor flux vector.
Fig.2. Matrix Converter Containing Nine Bidirectional Switches
where K { A,B,C } , j ={a,b,c} and SKa +SKb +SKc =1 The equations which represents the switching states of matrix converter. The output current of matrix converter is 7.2 A.
TABLE I. SIMULATION PARAMETER RATINGS OF MATRIX CONVERTER
Simulation Block
System Block
Parameter value
Matrix converter
LC filter
LInductance
20e3 H
1000e6 F
Ccapacitance
Bidirectional Switch
Internal resistance
1e3
Snubber resistance
1e5

FUZZY LOGIC CONTROL
Fig.3. Fuzzy Logic Control
A matrix converterbased permanent magnet synchronous machine (PMSM) with fuzzy logic drive system to overcome the unflavored impact introduced by digital lter and guarantees the drive performance under input disturbance conditions.
Three fundamental operations charactering a fuzzy system are

Fuzzification of input crisp values.

Fuzzy inference.

Defuzzification of fuzzy output.
Fuzzification is a process of transforming crisp values into grades of membership for linguistic terms of fuzzy sets. Here change of error ce (k) and Error e(k) can be taken as tw input variables to the fuzzy controller
Where Negative Big (NB), Negative Medium (NM), Negative Small (NS), Zero (Z), Positive Small (PS), Positive Medium (PM) , Positive Big (PB).


SIMULATION AND ITS RESULTS
The matrix converter input voltage is 230 V, which converts ac to ac voltage, the output voltage is 170 V. Under loading condition the speed of PMSM varies which creates a drop in voltage. The matrix converter which compensates the drop and given to the PMSM.
The main advantage of matrix converter is to compensate the drop and to maintain the speed of PMSM.
e (k) = r(k) – r (k)
(12)
ce(k) = e(k) – e(k1) (13)
Where r (k) is the actual speed and r (k) is the Reference speed
Fig.4. FLC control process
e(k) and e(k) are converted fuzzy variables E(k) and CE(k) by using the membership function
E (k) = G1*e (k)
CE (k) = G2*ce (k) U (k) = G3*u (k)
(14)
(15)
(16)
Fig.5. Simulation Block Diagram of Fuzzy Based PMSM Drive System

Under Rated Load Condition
Inference and RuleBase is explained using IFTHEN rule statement between input and output functions. Mamdani method is used for FIS.
Defuzzification is used to calculate the crisp value, Centroid Method is used in Defuzzification. The crisp value obtained is U(k).
The output voltage of Matrix converter (170 V) with respect to Input voltage 220 V and the frequency is 50 hz. The peak voltage is constant 170 V .
The output of fuzzy logic controller is
calculated
by integrating u(k) as in equation
iqref which is
iqref (k) = iqref (k1) + u(k) (17)
TABLE II. MEMBERSHIP FUNCTION TABLE
Error e
Change of error ce
NB
NS
NS
Z
PS
PM
PB
NB
NB
NB
NB
NB
NM
NS
Z
NM
NB
NB
NB
NM
NS
Z
PS
NS
NB
NB
NM
NS
Z
PS
PM
Z
NB
NM
NS
Z
PS
PM
PB
PS
NM
NS
Z
PS
PM
PB
PB
PM
NS
Z
PS
PM
PB
PB
PB
PB
Z
PS
PM
PB
PB
PB
PB
Error e
Change of error ce
NB
NS
NS
Z
PS
PM
PB
NB
NB
NB
NB
NB
NM
NS
Z
NM
NB
NB
NB
NM
NS
Z
PS
NS
NB
NB
NM
NS
Z
PS
PM
Z
NB
NM
NS
Z
PS
PM
PB
PS
NM
NS
Z
PS
PM
PB
PB
PM
NS
Z
PS
PM
PB
PB
PB
PB
Z
PS
PM
PB
PB
PB
PB
Fig. 6 Matrix Converter Output Three Phase Voltage.
The output current of Matrix converter (7.2 A) with respect to Input voltage 220 V and the frequency is 50 hz . The peak current is 7.2 A which is constant.
Fig. 7 Matrix converter output current
The graph shows the output speed of PMSM by using fuzzy logic control is 1258 rpm. The settling time for the speed of 1258 rpm is 0.3
Fig. 8 Permanent Magnet Synchronous Motor Speed
The graph shows the output Torque of PMSM here for using fuzzy logic control we get the constant torque of 1 Nm. The Settling time for the torque is 0.32 sec .
Fig.9 Torque Graph for Permanent Magnet Synchronous Motor
Fig.10. Id and Iq After Comparing to the Reference Current.
TABLE III. SIMULATION RESULTS OF PMSM DRIVE SYSTEM
Parameters
Obtained Results
Speed Voltage Current
1258 rpm
170 V
7.24 A
Id
Iq
1.22 A
7.75 A
TABLE IV. SIMULATION PARAMETERS OF MATRIX CONVERTER BASED PMSM DRIVE SYSTEM
Simulation Block
System Block
Parameter value
PMSM
Stator phase resistance Armature inductance Frequency
Inertia pole pairs
1.66 0.02875 H 50 Hz
0.0001051Kgm2
2
Membership
NB
1.8 to 0.2
values
NM
0.8 to 0.8
NS
0.2 to 1.6
Z
1.667to 0.3334
PS
1 to 0.3334
PM
03334 to 1
PB
0.3334 to 1.666
By increasing the load the speed of the PMSM varies with respect to the load, the advantage of the matrix converter is to compensate the voltage and current drop and given to the
The graph shows the
Id and
Iq current after comparing to the
motor.
reference current.
Id =1.2 A and
Iq =7.7 A. The output


CONCLUSION
waveform is sinusoidal. The settling time is 0.3 sec, after the settling the current is constant.
This project presents speed control of matrix converter fed PMSM drive system. The speed of PMSM can be controlled by using fuzzy logic controller, the speed of PMSM varies by increasing the load which creates the drop in voltage and current of matrix converter. The matrix converter which compensates the drop and given to the PMSM. The simulation results proven that the speed of PMSM can be controlled by using matrix converter based fuzzy logic control.

REFERENCES

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Ruzlaini Ghoni, Ahmed N. Abdalla, Analysis And Mathematical Modelling Of Space Vector Modulated Direct Controlled Matrix Converter, Journal of Theoretical and Applied Information Technology.

Rahman, M. A., Hoque, M. A., 1997. Online selftuning ANN based speed control of a PM DC motor. IEEE/ASME Trans. On Mechatronics 2 (3), pp.169178

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