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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 480
Fuzzy Controlled Permanent Magnet Synchronous Motor Drive
by Space Vector Pulse Width Modulation.
B.V.S.Prasad1, Dr.G.V.Siva Krishna Rao2
1Student, Dept. Of Electrical Engineering, Andhra University, Andhra Pradesh, India
2Professor, Dept. Of Electrical Engineering, Andhra University, Andhra Pradesh, India
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - This paper proposes a fuzzy logic approach to
control the speed of permanent magnet synchronousdrive by
space vector pulse with modulation with disturbance voltage
observer. In this control we are comparing the results with
two different controllers as 1.PI controller and 2. Fuzzy speed
controller. Then it is preceded with comparison through these
two conditions. The simulation has been done and results are
verified and validated in MATLAB /SIMULINK with different
test conditions.
Keywords- PMSM; FC; disturbance voltage observer
I. INTRODUCTION
When the running conditions alternate the
conventional speed controllers suchasproportional integral
(PI) controller can't give adequate performance, for a vector
controller PMSM drives[1,2].These days, some flexible
controllers have been adapted in both AC and DC motor
drives such as model reference adaptive controller (MARC)
[3] and sliding mode controller(SMC) [4], etc. Thus the
performance of the motor drive system can be improved by
all these types of controllers. However the system models
are usually based on the parameters and structure. It will
lead to complicated computation when the system model is
uncertainty. As the controlled system does not need
mathematical model, so fuzzy controllers have been applied
to many industrial fields of fuzzy reasoning in handling
uncertain information. The results indicate the PMSM drive
with adaptive fuzzy controller will have the ability of quick
recovery of the speed from any disturbances on parameter
variations, has been testified by simulation by proposed
control scheme consequently the proposed PMSM drive will
have better dynamic performance and robustness.
II. DISTURBANCE VOLTAGE OBSERVER OF THE PMSM
Induction motors were initiallycontrolledbyvector
control method, then it was applied to PMSM later.
Decoupling the stator current to get direct axis (d-axis) and
quadrature axis ( q-axis ) components is the basic principle
involved. The vector control strategy is formulated in the
synchronously rotating reference frame. Tomakethedirect-
axis current id zero so that the torque becomes dependent
only on quadrature-axis current an efficient control
strategy of the vector control technique is used. The stator
voltage equations of a PMSM in the synchronously rotating
reference frame are described as follows
Where
d d-axis voltage in synchronous frame, [V];
q q-axis voltage in synchronous frame, [V];
Rs motor phase resistance, [Ω];
Ld d-axis inductance, [H];
Lq q-axis inductance, [H];
id d-axis current in synchronous frame, [A];
iq q-axis current in synchronous frame, [A];
r motor electrical angular velocity, [Rad/s];
Id d-axis flux linkage in synchronous frame, [Wb];
lq q-axis flux linkage in synchronous frame, [Wb];
lf PM flux linkage in synchronous frame, [Wb].
Accordingly, the discrete-time equation can be
obtained as follows[7,8]
where T is the sampling period.
When the PMSM parameters vary during the
operation, it will cause the disturbances fd (n) and fq
(n),giving[7]
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 481
Where
And subscript "0"
denotes the nominal value. By a simple time delay control
approach The steady-state response of the predictive
control can be effectively improved. In the time delay
control, it is considered that the values of fd(t) , fq(t) and at
the present time are very closetothoseattimet- ( )
in the past for a small time r delay, and can be expressed
when L=I is chosen as follows[8]
6
By approximating the disturbances at the present time
with those of (n-1)th time step and using (5) and (6), the
simple approximates for the disturbances are derived as
below[7]
Considering equation (7) and (8) contain The high-order
harmonic components, inthe application Process,a low-pass
filter is needed. Therefore, Disturbances voltage caused by
the parameters changes can be expressed as [7]
With parameter variations and External disturbance, the
disturbances voltage, by which and uq will be
revised on-line, can be calculated fromequation(9)and(10)
III. STRUCTUREOF FUZZY SPEED CONTROLLER
Major PMSM controllers for industrial applications
prefer a fixed gain PI controller this fixedgainschemeworks
better for few operating conditions. And its performance
under other operating conditions decreases. Using time
consuming trial-and-error methods appropriate PIgainsare
obtained. The performance of PMSM drive can be increased
by an adaptive speed controller with fuzzy logicisproposed.
The block diagram for proposed scheme is shown in fig 1.
The output of fuzzy speed control is reference value of
quadrate axis.
The universe of all input and output variables are
normalized to [-1 1]. The fuzzy membership functions of the
input variables and output variable of the fuzzy controller
are shown in Fig 2. And the corresponding fuzzy logic rule is
shown in Table 1. respectively. In real time implementation,
using the reference speed and the actual speed, we can
calculate esl and es2, and the new reference value of the
quadrature axis current i: can be obtained from the speed
fuzzy controller. Once the parameter variationsand external
disturbance appear, the reference values of quadrature axis
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 482
and direct axis voltage will be revised by the output of the
disturbance voltage observer.
IV. RESULTS OF SIMULATION
A block diagram of the proposed PMSM drive is
shown in Fig 3. The parameters of PMSM are shown in Table
2. And the availability is confirmedbycomputersimulations.
The simulation conditions are: J= I.5Jo, Rs=2Rso. =0.8 ,
Ld=1.3Ldo, Lq=1.3Lqo, and n =1800r/min, Tz=100N.m, the
results under the PI speed controller and the proposed
scheme are shown in Fig.4, and Fig.5, respectively.Underthe
above simulation conditions, Fig.4 and Fig.5 show that the
dynamic response performancesofthePMSMdrive basedon
the proposed scheme has been improved to some extent
compared with the system based on the conventional PI
speed controller.
TABLE 2. PARAMETERS OF PMSM
Rated voltage UN(V) 440
Rated speed(r/min) 1800
Rated current (A) 90
Stator resistance Rs ( Ω ) 0.06
d-axis stator inductance Ld (mH) 2.526
q-axis stator inductance Lq (mH) 3.080
Rotor flux linkage r (Wb) 0.69
Figure 3. Overall block diagram of PMSM drive based on
the proposed control scheme
Figure 4. Results of PMSM control drive based on PI speed
controller.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 483
Figure 5. Results of PMSM drive based on the proposed
scheme.
V. CONCLUSION
In this paper, a vector control schemewiththefuzzy
speed controller with the disturbance voltage observer for
the PMSM has been presented. It gives thecapabilityoffuzzy
reasoning in handling uncertain information and the ability
to compensate of the disturbance voltage observer on-line.
which managed to prove that the overall motor system and
performance of PMSM have been improved in terms of its
speed and torque The results of simulation have shown that
the PMSM drive with the proposed control scheme has the
merits of simple structure, robustness, quick tracking
performance.
REFERENCES
[1] Yang Vi, D. Mahinda Vilathgamuwa, M. A. Rahman,
"Implementation of an Artificial-Neural Network-BasedReal
Time Adaptive Controller for an Interior Permanent-Magnet
Motor Drive,"IEEE Transactions on Energy Conversion, vol.
2, 2003, pp. 96-104.
[2] Faa-Jeng Lin, Chih-Hong Lin, " A Permanent Magnet
Synchronous Motor Servo Drive Using Self-Constructing
Fuzzy Neural Network Controller", IEEE Transactions on
Energy Conversion, 2004, pp.66-72.
[3] H. Naitoh, S. Tadakuma, "Microprocessor Based
Adjustable Speed dc Motor Drives Using Model Reference
Adaptive Control," IEEE Transactions on Industry
Applications, vol. 2,1987, pp.313-318.
[4] Y. Dote, R. G. Hoft, "Microprocessor Based Sliding Mode
Controller for dc Motor Drives", IEEE/IAS Annual
Meeting,1980, pp.64I-645.
[5] Dan Sun and Yikang He, "Fuzzylogic directtorquecontrol
for permanent magnet synchronousmotors," Proceedings of
the 5th world congress on intelligentcontrol andautomation,
Hangzhou, P.R. China,June 2004, pp. 4401-4405.
[6] Jun Liu and Pusheng Wu, "Application of fuzzy control in
direct torque control of permanent magnet synchronous
motor," Proceedings of the 5th world congress onintelligent
control and automation,Hangzhou,P.R.China,June2004, pp.
4573-4576.
[7] Kyeong-Hwa Kim, Myung-Joong Youn. A simple and
robust digital currentcontroltechniqueofa PMsynchronous
motor using time delay control approach. IEEETransactions
on power electronics, vol. 16, pp.72-82,2001.
[8] K H Kim. Design and performance comparison of a
stationary frame digital current control for a PM
synchronous motor. IEEE proc.electr.power appl, vol.
150,2003, pp. 357-364.

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Fuzzy Controlled Permanent Magnet Synchronous Motor Drive by Space Vector Pulse Width Modulation

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 480 Fuzzy Controlled Permanent Magnet Synchronous Motor Drive by Space Vector Pulse Width Modulation. B.V.S.Prasad1, Dr.G.V.Siva Krishna Rao2 1Student, Dept. Of Electrical Engineering, Andhra University, Andhra Pradesh, India 2Professor, Dept. Of Electrical Engineering, Andhra University, Andhra Pradesh, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - This paper proposes a fuzzy logic approach to control the speed of permanent magnet synchronousdrive by space vector pulse with modulation with disturbance voltage observer. In this control we are comparing the results with two different controllers as 1.PI controller and 2. Fuzzy speed controller. Then it is preceded with comparison through these two conditions. The simulation has been done and results are verified and validated in MATLAB /SIMULINK with different test conditions. Keywords- PMSM; FC; disturbance voltage observer I. INTRODUCTION When the running conditions alternate the conventional speed controllers suchasproportional integral (PI) controller can't give adequate performance, for a vector controller PMSM drives[1,2].These days, some flexible controllers have been adapted in both AC and DC motor drives such as model reference adaptive controller (MARC) [3] and sliding mode controller(SMC) [4], etc. Thus the performance of the motor drive system can be improved by all these types of controllers. However the system models are usually based on the parameters and structure. It will lead to complicated computation when the system model is uncertainty. As the controlled system does not need mathematical model, so fuzzy controllers have been applied to many industrial fields of fuzzy reasoning in handling uncertain information. The results indicate the PMSM drive with adaptive fuzzy controller will have the ability of quick recovery of the speed from any disturbances on parameter variations, has been testified by simulation by proposed control scheme consequently the proposed PMSM drive will have better dynamic performance and robustness. II. DISTURBANCE VOLTAGE OBSERVER OF THE PMSM Induction motors were initiallycontrolledbyvector control method, then it was applied to PMSM later. Decoupling the stator current to get direct axis (d-axis) and quadrature axis ( q-axis ) components is the basic principle involved. The vector control strategy is formulated in the synchronously rotating reference frame. Tomakethedirect- axis current id zero so that the torque becomes dependent only on quadrature-axis current an efficient control strategy of the vector control technique is used. The stator voltage equations of a PMSM in the synchronously rotating reference frame are described as follows Where d d-axis voltage in synchronous frame, [V]; q q-axis voltage in synchronous frame, [V]; Rs motor phase resistance, [Ω]; Ld d-axis inductance, [H]; Lq q-axis inductance, [H]; id d-axis current in synchronous frame, [A]; iq q-axis current in synchronous frame, [A]; r motor electrical angular velocity, [Rad/s]; Id d-axis flux linkage in synchronous frame, [Wb]; lq q-axis flux linkage in synchronous frame, [Wb]; lf PM flux linkage in synchronous frame, [Wb]. Accordingly, the discrete-time equation can be obtained as follows[7,8] where T is the sampling period. When the PMSM parameters vary during the operation, it will cause the disturbances fd (n) and fq (n),giving[7]
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 481 Where And subscript "0" denotes the nominal value. By a simple time delay control approach The steady-state response of the predictive control can be effectively improved. In the time delay control, it is considered that the values of fd(t) , fq(t) and at the present time are very closetothoseattimet- ( ) in the past for a small time r delay, and can be expressed when L=I is chosen as follows[8] 6 By approximating the disturbances at the present time with those of (n-1)th time step and using (5) and (6), the simple approximates for the disturbances are derived as below[7] Considering equation (7) and (8) contain The high-order harmonic components, inthe application Process,a low-pass filter is needed. Therefore, Disturbances voltage caused by the parameters changes can be expressed as [7] With parameter variations and External disturbance, the disturbances voltage, by which and uq will be revised on-line, can be calculated fromequation(9)and(10) III. STRUCTUREOF FUZZY SPEED CONTROLLER Major PMSM controllers for industrial applications prefer a fixed gain PI controller this fixedgainschemeworks better for few operating conditions. And its performance under other operating conditions decreases. Using time consuming trial-and-error methods appropriate PIgainsare obtained. The performance of PMSM drive can be increased by an adaptive speed controller with fuzzy logicisproposed. The block diagram for proposed scheme is shown in fig 1. The output of fuzzy speed control is reference value of quadrate axis. The universe of all input and output variables are normalized to [-1 1]. The fuzzy membership functions of the input variables and output variable of the fuzzy controller are shown in Fig 2. And the corresponding fuzzy logic rule is shown in Table 1. respectively. In real time implementation, using the reference speed and the actual speed, we can calculate esl and es2, and the new reference value of the quadrature axis current i: can be obtained from the speed fuzzy controller. Once the parameter variationsand external disturbance appear, the reference values of quadrature axis
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 482 and direct axis voltage will be revised by the output of the disturbance voltage observer. IV. RESULTS OF SIMULATION A block diagram of the proposed PMSM drive is shown in Fig 3. The parameters of PMSM are shown in Table 2. And the availability is confirmedbycomputersimulations. The simulation conditions are: J= I.5Jo, Rs=2Rso. =0.8 , Ld=1.3Ldo, Lq=1.3Lqo, and n =1800r/min, Tz=100N.m, the results under the PI speed controller and the proposed scheme are shown in Fig.4, and Fig.5, respectively.Underthe above simulation conditions, Fig.4 and Fig.5 show that the dynamic response performancesofthePMSMdrive basedon the proposed scheme has been improved to some extent compared with the system based on the conventional PI speed controller. TABLE 2. PARAMETERS OF PMSM Rated voltage UN(V) 440 Rated speed(r/min) 1800 Rated current (A) 90 Stator resistance Rs ( Ω ) 0.06 d-axis stator inductance Ld (mH) 2.526 q-axis stator inductance Lq (mH) 3.080 Rotor flux linkage r (Wb) 0.69 Figure 3. Overall block diagram of PMSM drive based on the proposed control scheme Figure 4. Results of PMSM control drive based on PI speed controller.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 10 | Oct -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 483 Figure 5. Results of PMSM drive based on the proposed scheme. V. CONCLUSION In this paper, a vector control schemewiththefuzzy speed controller with the disturbance voltage observer for the PMSM has been presented. It gives thecapabilityoffuzzy reasoning in handling uncertain information and the ability to compensate of the disturbance voltage observer on-line. which managed to prove that the overall motor system and performance of PMSM have been improved in terms of its speed and torque The results of simulation have shown that the PMSM drive with the proposed control scheme has the merits of simple structure, robustness, quick tracking performance. REFERENCES [1] Yang Vi, D. Mahinda Vilathgamuwa, M. A. Rahman, "Implementation of an Artificial-Neural Network-BasedReal Time Adaptive Controller for an Interior Permanent-Magnet Motor Drive,"IEEE Transactions on Energy Conversion, vol. 2, 2003, pp. 96-104. [2] Faa-Jeng Lin, Chih-Hong Lin, " A Permanent Magnet Synchronous Motor Servo Drive Using Self-Constructing Fuzzy Neural Network Controller", IEEE Transactions on Energy Conversion, 2004, pp.66-72. [3] H. Naitoh, S. Tadakuma, "Microprocessor Based Adjustable Speed dc Motor Drives Using Model Reference Adaptive Control," IEEE Transactions on Industry Applications, vol. 2,1987, pp.313-318. [4] Y. Dote, R. G. Hoft, "Microprocessor Based Sliding Mode Controller for dc Motor Drives", IEEE/IAS Annual Meeting,1980, pp.64I-645. [5] Dan Sun and Yikang He, "Fuzzylogic directtorquecontrol for permanent magnet synchronousmotors," Proceedings of the 5th world congress on intelligentcontrol andautomation, Hangzhou, P.R. China,June 2004, pp. 4401-4405. [6] Jun Liu and Pusheng Wu, "Application of fuzzy control in direct torque control of permanent magnet synchronous motor," Proceedings of the 5th world congress onintelligent control and automation,Hangzhou,P.R.China,June2004, pp. 4573-4576. [7] Kyeong-Hwa Kim, Myung-Joong Youn. A simple and robust digital currentcontroltechniqueofa PMsynchronous motor using time delay control approach. IEEETransactions on power electronics, vol. 16, pp.72-82,2001. [8] K H Kim. Design and performance comparison of a stationary frame digital current control for a PM synchronous motor. IEEE proc.electr.power appl, vol. 150,2003, pp. 357-364.