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International Journal of Power Electronics and Drive System (IJPEDS)
Vol. 7, No. 1, March 2016, pp. 173~192
ISSN: 2088-8694  173
Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS
Advanced Optimal PSO, Fuzzy and PI Controller with PMSM
and WTGS at 5Hz Side of Generation and 50Hz Side of Grid
Salam Waley Shneen*, Chengxiong Mao**, Dan Wang***
* School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China
**,
***School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China
Article Info ABSTRACT
Article history:
Received Sep 23, 2015
Revised Jan 13, 2016
Accepted Feb 1, 2016
To use different control systems, like classical PI controller, Expert System
Fuzzy Logic Controller and optimization PSO controller. It used to control
for PMSM which worked in the integration system to Wind Energy. Wind
energy content of wind turbine, PMSM, rectifier, DC bus, inverter, filter,
load and grid. In the first step, to run the PMSM with different speeds to get
a different frequency to select the frequency on the side of a generation with
the rated speed. Second step, solve the mathematical equation to use different
values of wind speed with selected (15,20 m/s and less than with more than
15&20m/s). Third step, calculation the power generation with wind speed
(15 m/5 & 20 m/s). Fourth step, using these component system rectifier, DC
bus, inverter, filter, load & grid with WTGS & PMSM. Final step, uses
different control systems, like classical PI controller, Expert System Fuzzy
Logic controller and optimization PSO controller with PMSM to analyze all
results after using the simulation model of proposed variable speed based on
WECS. The wind turbine is coupled with PMSM. A closed loop control
system with a PI control, fuzzy, PSO in the speed loop with current
controllers. The simulation circuits for PMSM, inverter, speed and current
controllers include all realistic components of the drive system. These results
also confirmed that the transient torque and current never exceed the
maximum permissible value.
Keyword:
FLC
PI Controller
PMSM
PSO
WTGS
Copyright © 2016 Institute of Advanced Engineering and Science.
All rights reserved.
Corresponding Author:
Chengxiong Mao,
School of Electrical & Electronic Engineering,
Huazhong University of Science and Technology, Wuhan, China.
Email: cxmao@hust.edu.cn
1. INTRODUCTION
The most emerging renewable energy source, wind energy, by means of power electronics is
changing from being a minor energy source to be acting as an important power source in the energy system.
That wind power is also getting an added value in the power system operation. The power electronics are
changing the basic characteristic of the wind turbine from being an energy source to be an active power
source [1].The permanent magnet synchronous machine (PMSM), it has significant advantages, attracting the
interest of researchers and industry for use in many applications, that uses permanent magnets to produce the
air gap magnetic field rather than using electromagnets [2]. The PMSM, with high level energy permanent
magnet materials particularly provide fast dynamics, efficient operation and good compatibility with the
applications but only if they are controlled properly. The controller is using to overcome the nonlinearity
problem of PMSM and also to achieve faster response [3]. Many industrial applications require new control
techniques, the techniques used, applied in all regulation loops, speed regulation of permanent magnet
synchronous machine (PMSM) [4]. The development of power electronics and electric technology boost
PMSM for extensive applications in many control systems. And PMSM, which are widely used for systems
and control devices minute owns several advantages over other machines on Milan. Advantages PMSM
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192
174
include large torque coefficient, and high efficiency, high energy density, and a torque multiplier is small,
Low-inertia, low noise, and high-performance in a wide variety [5]. A way controller (PI) in addition to
controllers with integral relative formulated and implemented, using speed control magnet synchronous
machine system and a permanent pilot phase. While the new strategy promotes traditional PI control
performance to a large extent, and proves to be a model-free approach completely, it also keeps the structure
and features of a simple PI controller [6].The use consoles mode instead of Fuzzy-PI control to improve the
performance of PMSM. To control the speed of PMSM by using fuzzy logic (FL) approach leads to a speed
control to improve the dynamic behavior of the PMSM system and immune disorders to download and
parameter variations [7,8]. In the WTGS systems and gains from the traditional can’t usually be set in
proportion-integral (PI) controller speed large enough because of mechanical resonance. As a result,
performance degradation and speed control. Fuzzy logic controller (FLC) for use in WTGS systems in order
to improve the performance of the speed control. The proposed FLC has been compared with traditional PI
control with respect to the speed of response and dynamic load torque. Simulation and experimental results
have proved that FLC was proposed is superior to the traditional PI. This FLC can be a satisfactory solution
for the high-performance machine lifts systems [9-11]. A modern way to control the speed of PMSM using
particle swarm optimization (PSO) to improve the algorithm parameters observer PI-. Simulate the system
under different operating year conditions is prepared and the experimental setup. Use PSO algorithm and
optimization make a powerful engine, with faster response and higher resolution dynamic and sensitive to
load variation [12, 13].
2. MODEL FOR A PMSM DRIVE
(Figure 1 block diagram of a PMSM & Figure2 block diagram of a PMSM Drive)
The complete nonlinear model of a PMSM without damper winding is as follows:
vq = Riq + pLqiq + s(Ldid + af) (1)
vd = Rid + pd -s Lq iq (2)
vd and vq are the d,q axis voltages, id and iq are the d,q axis stator currents, Ld and Lq are the d,q
axis inductances, R and s are the stator resistance and inverter frequency respectively. af
is the flux
linkage due to the rotor magnets linking the stator.
The electric torque:
Te = 3P(af iq + (Ld - Lq)idiq)/2 (3)
The motor dynamics:
rr JpB   TT Le (4)
P is the number of pole pairs, TL is the load torque, B is the damping coefficient, r is the rotor
speed and J the moment of inertia. The inverter frequency is related to the rotor speed as follows:
rs p 
(5)
The machine model is nonlinear as it contains product terms such as speed with id and iq. Note that
r , id and iq are state variables. During vector control, id is normally forced to be zero
qtqe iK/2i3PT  af
(6)
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TL iq TL
- iq -
r -
r
-
+
vq
Figure 1. Block diagram of a PMSM Figure 2. Block diagram of a PMSM Drive
3. SPEED CONTROL OF PMSM
(Figure 3. Block Diagram of Speed Control of PMSM). The PMSM is using control to suppress
harmonic noise to a level. Then, noise to a level below and vibration to make the rotation even quieter.
Current Current
Command measurement
Speed measurement
Figure 3. Block Diagram of Speed Control of PMSM
IGBT SPWM inverters make the rotation smoother with precisely adjusting speed control with
frequency and voltage regulation. It has the latest low-noise power units to make the rotation even quieter.
WGS has directed high-speed used (100 or150 rpm) PMSM. Energy reform in the WGS geared.
3.1. PI Controller Modeling
In the PI speed controller the machine speed is compared with the reference speed and the speed
error is the nth sampling interval as
ωe[n] = ωr*[n] – ωr[n] (7)
The output of the speed controller gives the reference torque. Hence the output of the speed
controller at the nth sampling interval is
T[n] = T[n-1] + Kp(ωe[n] – ωe[n-1]) + Ki.ωe[n] (8)
For constant air gap flux operation reference quadrature axis current is given as
iq* = T[n]/Kt (9)
The limiter is used to limit the maximum value of output of speed controller. The maximum
machine rated current and device current of the converter dictate the limit.
Where,
ωe[n] is speed error at nth instant, ωr*[n] is the reference speed at nth instant
ωr[n] is the actual machine speed at nth instant, ωe[n-1] is the speed error at (n-1)th instant
T[n] is the reference torque at nth instant, T[n-1] is the reference torque at (n-1)th instant
Kp is proportional gain of the speed controller
sLR q
1
p af
kt
Speed
Control
Current
Control
JsB 
1
p af
sLR q
1
kt
JsB 
1
LoodInverter PMSM
Speed
control
Current
controller
DC
Speed command
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176
Ki is integral gain of the speed controller is reference quadrature axis current
Kt is torque constant
3.2. Fuzzy Logic Controller
The Basic configuration of a Fuzzy Logic Controller (FLC) consists of the following components:
1) Fuzzification Interface
2) Knowledge Base (KB)
3) Decision Making Logic
4) Defuzzification Interface
A fuzzy controller is a special fuzzy system that can be used as a controller component in a closed
loop system. The integration of a fuzzy system into a closed loop is shown. Special emphasis is put onto the
transfer behavior of fuzzy controllers, which are analyzed using different configurations of standard
membership functions. For a PM machine drive system with a full speed range, the system will consist of a
machine, an inverter, controller (constant torque and flux weakening operation, generation of reference
currents and PI controller)
3.3. Particle Swarm Optimization
It is a technique used to explore the search space for a given problem to find the settings or
parameters required to optimize a particular objective. PSO has two main concepts: the first is through the
observation of human decision making, it was proposed that humans use both their own best experience and
others’ best experience to form a basis of making a decision, to develop the concepts of individual learning
and cultural transmission. The second is to propose a simple theory to explain group behavior in nature, and
to popularize the theory to create systems to simulate things. The biggest characteristic of PSO is in its
simple structure, fast convergence, and its ability to prevent falling into a local optimum solution. At the
same time, PSO is a random algorithm with a parallel structure. A uniform distribution is used to randomly
create a particle swarm. Each particle represents a feasible solution to the problem, the particle swarm refers
to the individual’s best experience, and the group’s best experience, and logically chooses the method it will
move itself. After continuous iterations, the particle swarm will gravitate towards the optimum solution.
4. WIND TURBINE GENERATION SYSTEM (WTGS) & MATHEMATICAL MODELING
4.1. Wind Turbine Generation System (WTGS)
Wind Turbine Generation System (WTGS) is used to convert kinetic energy into electrical energy.
As wind case varies, the electrical energy produced from the generator needs to be converted for
convenience. An inverter, rectifier, transformer and filter are needed within the Wind Turbine Generation
System (WTGS), in order for utility-grade AC power to be transmitted over long distances (Figure 4). A
transformer is usually installed at the undermost of the tower to provide voltage diversion from the low
voltage by the wind turbine, to medium/high voltage for transit.
Figure 4. PMSM Wind Energy Conversion System
Most modern Wind Turbine Generation System (WTGS) have intelligent feature to observe and
control the system to diverse wind conditions. Like, atmospheric sensors detect wind speed and direction.
Other sensors observe the status and strength of the turbine parts to bypass run-to-failure. Wind turbines need
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Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
177
to resist extreme weather conditions, such as storms and lightning. In these types of conditions, it is important
to ensure that the turbine monitoring system is designed to provide high voltage.
4.2. Mathematical Modeling of Wind Turbines
1st
E:Kinetic Energy
m: Total mass
Vw: The velocity of the air particles (Wind Speed)
2
2
1
mVE 
(10)
2nd
The air particles are moving at a speed(Vw)of the particles for a period of time, t, can be rewritten as
follows:
tVrtVm   2
 (11)
 : the air density
A: the swept area of the wind turbine rotor
r: the radius of the wind turbine rotor
3rd
the kinetic energy of the air particles can be expressed as follows:
tVrE
32
2
1

(13)
4th
the actual wind power at any instant of time can be represented as:
32
2
1
 Vr
t
E
Pwind 
(14)
where, windP , is the potentially available power in the wind.
5th
The relationship between the power that is captured by the wind turbine and the potential maximum
power in the wind can be expressed as follows:
wind
Turbine
p
P
P
C 
(15)
where, TurbineP is the mechanical power captured by the wind turbine, and Cp is the power coefficient of the
wind turbine which can be expressed as follows:



1
54321
6
)
1
(
c
p ecccccC



(16)
3
1
035.0
08.0
11
 



(17)


Vrm /
1

(18)
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178
where,
 , is the blade angle and  is the tip speed ratio of the wind turbine, while, m , is the
angular speed of the wind turbine generator. The values of the coefficients (c1~c6) depend on the type of the
wind turbine.
32
),(
2
1
 VCrP pTurbine 
(19)
5. SIMULATION RESULTS
By using Simulation model PMSM & Simulation of WTGS Drive system by using PMSM:
5.1. Simulation model Permanent Magnet Synchronous Machine (PMSM).
Model of the system (Figure 5) is verified through computer simulations using the software package
MATLAB/Simulink. Summarizes the performance of the WTGS, both in computer simulation and
experimental implementation. The analyzed WGS considers electrical drive (PMSM Drive System).
Figure 5. Simulation Model of PMSM
Drive converter is currently regulated SPWM voltage source inverter (CRSPWM VSI) direct current
power supply. The controller is used for the task to provide position reference tracking and zero error in
steady state. Constant load is usual for WTGS. Thus, controller with proportional and integral action (PI) is
used, Block diagram of PI Controller is shown in Figure 6.
Figure 6. Block diagram of PI Controller
Simulation of the entire system with the designed controller is made in the Matlab/Simulink and
given results show that design controller meets the requirements completely smooth and precise position and
speed.
IJPEDS ISSN: 2088-8694 
Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
179
To verify the feasibility of control, PMSM drive simulation model with control is created and
studied using MATLAB. Simulation parameters: stator resistance Rs = 0.01Ω, inductance Ld = Lq =
0.01835H, flux Ψ = 0.4 V.s, pair of poles p = 3, inertia J = 0.029kg.m2. Simulation conditions: reference
speed n = 100,150 rad / s, start with TL = 0N.m. Simulation results are presented in Figure 7-9 speed is
shown in Figure 7, Torque is shown in Figure 8, and current is shown in Figure 9. It is obvious that correct
responses to speed, current, and torque in a control system. Using PI control and Fuzzy control has a good
application for PMSM drive. At the same time, with speed have faster response. Ripple of torque is obviously
reduced. So the system performance is improved.
Figure 7. Simulation result response of Speed
Figure 8. Simulation result response of Torque
Figure 9. Simulation result response of Current
5.2. Simulation of WTGS with PMSM.
To Analysis simulation results, There are some cases to do it as a following analysis WTGS By
Using PMSM (Speed, Torque, Current) and (Tm(pu),Wind Speed, Vdc, Grid Voltage and Grad Current).
First step, to run the PMSM with different speeds to get a different frequency to select the
frequency on the side generation with the rated speed. The simulation result in the table (1), it was clearly to
 ISSN: 2088-8694
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180
get 5Hz side of generation by using rotation speed 100 rad/sec which using the simulation system of this
work. Simulation Model of PMSM is illustrated in figure (5) which using this step.
Table 1. PMSM with different speeds to get different frequency
Rated Speed(rad/sec) Time(sec) Frequency(Hz)
50 0.42 2.38
100 0.2 5
200 0.1 10
1000 0.02 50
1500 0.01666 60
a) Speed
b) Current
Figure 10. Simulation Model of PMSM at Speed=100,5Hz, a) Speed & b) Current
a) Speed
IJPEDS ISSN: 2088-8694 
Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
181
b) Current
Figure 11. Simulation Model of PMSM at Speed=200,10Hz, a) Speed & b) Current
Second step, solve the mathematical equation to use different values of wind speed with selected
(15, 20 m/s and less than with more than 15&20m/s).
In this paper, we used two types of variable and constant speed. Constant speed has (15m/s, 20m/s,
15&20m/s), one hour the speed was (15m/s) so one time by using (20m/s) the third time four hours be used
(15&20m/s). For one day, we used variable speed with more than (15&20m/s) so less than (15&20m/s).
Used a special type to get variable speed with more than (15&20m/s) so less than (15&20m/s).
We need a mathematical equation by designed to these values.
First, selected some values like (15, 20, 20.42, 20.38, 19.68, 15.42, 15.38, 14.98&14.68).
Second, Amplitude &Frequency:
Amplitude, X0 = 15m/s, X1 = 20m/s, S1 = 0.4m/s, S2 = 0.2m/s, S3 = 0.02 & S4 = 0.002
Y1=X0+S1+S2+S3+S4 (20)
Y2=X1+S1+S2+S3+S4 (21)
Frequency, X0 for 12 hours, X1 for 12 hours, S1 at 0.175 hours, S2 at 0.5 hours, S3 at 0.08 hours &
S4 at 0.25 hours. Simulation model (wind speed) of this step is shown in figure (12) and the simulation
results is shown in figures (13).
Figure 12. Simulation model of wind speed
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182
0 5 10 15 20
10
15
20
25
Time
WindSpeed
Wind Speed(m/s)
Figure 13. Variable wind speed (15m/s at 12Hours &20m/s at 12Hours)
Third step, Calculation the power generation with wind speed (15 m/5 & 20 m/s).
In this step, by using equation of power generation with have date of wind energy turbine.
By using Parameters and operating conditions
PMSM, 2.0 MW, 690 V, 9.75 Hz, Rated Mechanical Power 2.0 MW
Rated Apparent Power 2.2419 MVA, Rated Power Factor 0.8921
Rated Rotor Speed 22.5 r/min, Number of Pole Pairs 26
Rated Mechanical Torque 848826 Nm, Rated Rotor Flux Linkage 5.8264 (rms)
Stator Winding Resistance 0.821m, d axis Synchronous Inductance 1.5731mH
q axis Synchronous Inductance 1.5731mH, Wind Turbine Rotor Radius 34 m
Wind Turbine Optimal Tip Speed Ratio 6.16, IGBT Modulation Frequency 1.5 kHz
1st
when the wind speed is 15m/s
Speed
6.70
34
15*16.6*26
)
2
( 
r
Vp
e


Power
MWP
P
VCrP
Turbine
Turbine
pTurbine
00142395.310*00142395.395.3001423
)15(*4.0*)34(*14.3*225.1*5.0
),(
2
1
6
32
32


 
Torque
1115770
26/6.70
95.3001423
26/

Speed
PowerPower
Torque
m
Current
2nd
when the wind speed is 20m/s
Speed
211.94
34
20*16.6*26
)
2
( 
r
Vp
e


Power
MWP
P
VCrP
Turbine
Turbine
pTurbine
1144864.710*1144864.74.7114486
)20(*4.0*)34(*14.3*225.1*5.0
),(
2
1
6
32
32


 
Torque
3.2831636
26/211.94
4.7114486
26/

Speed
PowerPower
Torque
m
11.3472
2398.8*26*5.1
1115770
)
2
)(
2
3
(

r
qs
p
Torque
i

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Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
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Current
62.8811
2398.8*26*5.1
3.2831636
)
2
)(
2
3
(

r
qs
p
Torque
i

Fourth step, using these component system Rectifier, DC bus, Inverter, Filter, Load & Grid with
WTG & PMSM. Simulation model (wind speed) of this step as shown in figures (14&15) and the simulation
results as shown in figures (16-22).
Figure 14. WTG & PMSM. Simulation model with wind speed (15m/s at 2Hours &20m/s at 2Hours)
Figure 15. WTG & PMSM. Simulation model with wind speed (15m/s at 12Hours &20m/s at 12Hours)
 ISSN: 2088-8694
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184
Figure 16. Wind speed (15m/s at 2Hours &20m/s at 2Hours)
Figure 17. Current (Iabc) (15m/s at 2Hours &20m/s at 2Hours)
Figure 18. Tm (pu) with wind speed (15m/s at 2Hours &20m/s at 2Hours)
Figure 19. Current (Iabc) with wind speed (15m/s at 12Hours &20m/s at 12Hours)
0 0.5 1 1.5 2 2.5 3 3.5 4
10
15
20
25
Time
WindSpeed
Wind Speed(m/s)
0 0.5 1 1.5 2 2.5 3 3.5 4
-10
-5
0
5
10
15
Time
Current
Iabc
0 0.5 1 1.5 2 2.5 3 3.5 4
0.75
0.8
0.85
0.9
0.95
1
Time
Tm(pu)
Tm(pu)
0 5 10 15 20 25
-15
-10
-5
0
5
10
15
Time
Current(Iabc)
Iabc
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Figure 20. Tm (pu) with wind speed (15m/s at 12Hours &20m/s at 12Hours)
Figure 21. Simulation response of Voltage o/p filter (Vab)
Figure 22. Simulation response of Voltage Grid (Vab)
Final step, use different control systems, Like Classical PI Controller, Expert System Fuzzy Logic Controller
and Optimization PSO Controller With PMSM to analysis all result.Simulation models (Classical PI
Controller, Expert System Fuzzy Logic Controller and Optimization PSO Controller With PMSM) of this
step as shown in figures (23-25) &The transfer function of the PMSM can be obtained from its state model
by using the following formula:
T(S) = C [SI-A] B + D (22)
And the transfer function of the PMSM considered is [14]:
(23)
The the simulation model for transfer function of the PMSM as shown in figures (26-28) and
simulation results as shown in figures (29-34).
0 5 10 15 20 25
0.78
0.8
0.82
0.84
0.86
0.88
0.9
0.92
0.94
0.96
Time
Tm(pu)
Tm(pu)
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
Time
Vab
Torque
0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08
-8
-6
-4
-2
0
2
4
6
8
x 10
4
Time
VabGrid
Torque
)23(
49.295.1176.14
88.534.14
. 23
2



sss
ss
FT
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186
Figure 23. Simulation model with PI Controller
Figure 24. Simulation model with Fuzzy_PI Controller
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Figure 25. Simulation model with PSO_PI Controller
Figure 26. Simulation model for transfer function of the PMSM with PI control
Figure 27. Simulation model for transfer function of the PMSM with Fuzzy_PI control
Figure 28. Simulation model for transfer function of the PMSM with PSO_PI control
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a) PI Control
b) Fuzzy_PI Control
c) PI Control & Fuzzy_PI Control
Figure 29. Simulation Response of a) PI Control, b) Fuzzy_PI Control, c) PI Control & Fuzzy_PI Control
a) PI Control
b) Fuzzy_PI Control
c) PI Control & Fuzzy_PI Control
Figure 30. Simulation Response (pu) of a) PI Control, b) Fuzzy_PI Control, c) PI Control & Fuzzy_PI
Control
0 5 10 15 20 25
0
20
40
60
80
100
120
Time
Speed
0 5 10 15 20 25
0
20
40
60
80
100
120
Time
Speed
0 5 10 15 20 25
0
20
40
60
80
100
120
Speed
Time
Speed
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Speed
Time
Speed
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
1.4
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Speed
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
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Speed
Speed
IJPEDS ISSN: 2088-8694 
Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
189
a) PI Control
b) PSO _PI Control
c) PI Control & PSO_PI Control
Figure 31. Simulation Response (pu) of a) PI Control, b) PSO _PI Control, c) PI Control & PSO_PI Control
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
1.4
Speed
Time
Speed
0 5 10 15 20 25
0
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Speed
0 5 10 15 20 25
0
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Speed
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192
190
a) PI Control
b) PSO _PI Control
c) PI Control & PSO_PI Control
Figure 32. Simulation Response of a) PI Control, b) PSO _PI Control, c) PI Control & PSO_PI Control
Figure 33. Simulation Response (pu) of PI Control, Fuzzy_PI Control & PSO_PI Control
Figure 34. Simulation Response of PI Control, Fuzzy_PI Control & PSO_PI Control
0 5 10 15 20 25
0
20
40
60
80
100
120
Time
Speed
0 5 10 15 20 25
0
20
40
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120
Time
Speed
Speed
0 5 10 15 20 25
0
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40
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120
Time
Speed
Speed
0 5 10 15 20 25
0
0.2
0.4
0.6
0.8
1
1.2
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SPEED
Speed PI,Fuzzy_PI&PSO_PI Control
0 5 10 15 20 25
0
20
40
60
80
100
120
Time
Speed
Speed
IJPEDS ISSN: 2088-8694 
Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao)
191
6. CONCLUSION
This paper will cover the simulation, and implementation of a PMSM controlled by a control system
WGS system, the implementation of a WTGS by the electric system through the addition of control systems
and switching power supplies. Simulation of WGS with PMSM is used for this paper. There are some tasks
to achieve a WGS, determining the parameters of PMSM, designing a control system, and verifying the
performance of the system through use of computer simulations and experimental testing. Implementation of
a WGS with a PMSM is successful and provides an illustrative example to those who wish to apply electric
drives to various electrical systems.
Wind energy is seen nowadays as one of the most promising energy sources. Variable speed wind
turbine generators, a new topology of wind turbine generation system (WTGS) based on a permanent magnet
synchronous machine (PMSM) with full rated converter have become more popular due to the decreasing
price of the power electronics. Better behavior under grid, disturbances as the machine is isolated from the
grid by the converter and the full power rated converter allows to easily implement new behaviors to provide
grid. Control of the grid connection inverter and the generator rectifier and increases the robustness in case of
communication failure between the control systems of both sides of the back-to-back converter allowing to
place both sides in different locations far from each other.
Also, even though here a PMSM wind turbine with full power converter will be considered, the
same procedure can be easily extended to other topology of wind generators connected to the grid through
full power converters.
REFERENCES
[1] F. Blaabjerg, Z. Chen, R. Teodorescu, F. Iov’Power Electronics in Wind Turbine Systems’, Power Electronics
and Motion Control Conference, 2006. IPEMC 2006. CES/IEEE 5th International, Volume 1, 2006, Page(s): 1 -
11.
[2] Kiran Boby, Prof.Acy M Kottalil, N.P. Ananthamoorthy, Simulation of PMSM Vector Control System with Fuzzy
Self-Adjusting PID Controller Using MATLAB, International Journal of Scientific and Research Publications,
Volume 3, Issue 3, March 2013, Page(s): 1 - 4.
[3] Davendra Yadav, Sunil Bansal, Munendra Kumar, Design, Development & Simulation of Fuzzy Logic Controller
to Control the Speed of Permanent Magnet Synchronous Motor Drive System, Journal of Electrical and
Electronics Engineering Research, Vol. 3(3), March 2011, Page(s): 52-61.
[4] M.T. Benchouia, S.E. Zouzou, A. Golea, and A. Ghamri, Modeling and Simulation of Variable Speed Drive
System with Adaptive Fuzzy Controller Application to PMSM, 2004 IEEE International Conference on Industrial
Technology (ICIT), Page(s): 683 - 687.
[5] Xiao Xi; Li Yongdong; Li Min, Performance control of PMSM drives using a self-tuning PID, 2005 IEEE
International Conference, Page(s): 1053 - 1057.
[6] Francesco Parasiliti, and Daqing Zhang, Real-Time Gain Tuning of PI Controllers for High-Performance PMSM
Drives, IEEE Transaction on Industry Applications, Vol. 38, No. 4, July/August 2002, Page(s): 1018 - 1026.
[7] Amine B M, Souhila Z, Tayeb A. Adaptive Fuzzy Logic Control of Wind Turbine Emulator. International Journal
of Power Electronics and Drive Systems (IJPEDS), 2014, 4(2): 241-255.
[8] Madhumita Chakraborty, Comparative Analysis of Speed Control of PMSM using PI-Controller and Fuzzy
Controller, International Journal of Scientific & Engineering Research, Volume 4, Issue 7, July-2013, Page(s): 103
- 108
[9] Dibin Chandran, M Lydia’Vector Control of Wind Turbine Generating System Using PI and Model Predictive
Controller’, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Volume-2, Issue-
2, January 2013, pages: 123 - 127.
[10] A. M. Shiddiq Yunus, A. Abu-Siada and M.A.S Masoum ‘Application of SMES Unit to improve the performance
of wind turbine conversion system’Shiddiq Yunus et al./ Elixir Elec. Engg. 38 (2011) 4315-4319.
[11] Glaoui H, Abdelkader H, Messaoudi I, et al. Modeling of Wind Energy on Isolated Area. International Journal of
Power Electronics and Drive Systems (IJPEDS), 2014, 4(2): 274-280.
[12] Salim M, Sarvi M. Induction Motor Speed Control Using Indirect Z-source Matrix Converter with PSO-PI
Controller under Various Break Conditions. International Journal of Power Electronics and Drive Systems
(IJPEDS), 2013, 3(1): 41-52.
[13] Weihua Li, Ziying Chen, Wenping Cao ’ptimization of Permanent Magnet Synchronous Motor Vector Control
System Based on Particle Swarm Optimization, Journal of Information & Computational Science, September 1,
2014, pages 4687–4696.
[14] B. Jaganathan, R. Brindha, Pallavi Murthy, Nagulapati Kiran, Swetha. S, ‘An Online Tuning of a PMSM for
Improved Transient Response Using Ziegler-Nichol’s Method’, Proc. of Int. Conf. on Advances in Electrical &
Electronics 2010, pages 189-192.
 ISSN: 2088-8694
IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192
192
BIOGRAPHIES OF AUTHORS
Salam Waley Shneen received his BSC.Degree in Electrical Engineering & Education University
of Technology Technical Education department. Iraq-Baghdad, 1998. Msc. Degree in Electrical
Engineering & Education University of Technology Technical Education department. Iraq-
Baghdad, 2005. Presently, he is a Ph.D. student in Department of Electrical Engineering, from
Huazhong University of Science & Technology (HUST), in 2013 to 2016, he joined
Assist. Lecturer of Electro Mechanical Engineering Department, University of Technology /
Baghdad. His fields of interest are power electronic, electronic, control and the excitation control
of synchronous generator and applications of high power electronic technology to power system.
E-mail:salam_waley73@yahoo.com
Chengxiong Mao (M’93-SM’08) received his B.S., M.S. and Ph.D. degrees in Department of
Electrical Engineering, from Huazhong University of Science & Technology (HUST), in 1984,
1987 and 1991 respectively.
He was a visiting scholar in University of Calgary, Canada, from Jan. 1989 to Jan. 1990 and in
Queen's University of Belfast from Dec. 1994 to Dec. 1995 respectively. He was doing
researches in Technische Universitaet Berlin from April 1996 to April 1997 under the support of
Humboldt Foundation. Presently, he is a professor of HUST. His fields of interest are power
system operation and control, the excitation control of synchronous generator and applications of
high power electronic technology to power system.
E-mail: cxmao@263.net
Dan Wang (M’07) received his B.S., M.S. and Ph. D. degrees in Department of Electrical
Engineering, from Huazhong University of Science & Technology (HUST), Hubei, China, in
1999, 2002 and 2006 respectively.
He was a Postdoctoral Researcher, from 2006 to 2008, sponsored by China Postdoctoral Science
Foundation in Department of Control Science & Engineering, HUST. From 2008 to 2009, he
was a visiting research associate in the Department of Electrical and Computer Engineering at
Michigan State University, US. In 2008, he joined HUST. Presently, he is an associate professor
in HUST. His research interests include power system operations and control and power
conditioning and grid-connection of alternative energy sources.
E-mail: wangdan@mail.hust.edu.cn

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Advanced controllers for wind turbine PMSM system

  • 1. International Journal of Power Electronics and Drive System (IJPEDS) Vol. 7, No. 1, March 2016, pp. 173~192 ISSN: 2088-8694  173 Journal homepage: http://iaesjournal.com/online/index.php/IJPEDS Advanced Optimal PSO, Fuzzy and PI Controller with PMSM and WTGS at 5Hz Side of Generation and 50Hz Side of Grid Salam Waley Shneen*, Chengxiong Mao**, Dan Wang*** * School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China **, ***School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China Article Info ABSTRACT Article history: Received Sep 23, 2015 Revised Jan 13, 2016 Accepted Feb 1, 2016 To use different control systems, like classical PI controller, Expert System Fuzzy Logic Controller and optimization PSO controller. It used to control for PMSM which worked in the integration system to Wind Energy. Wind energy content of wind turbine, PMSM, rectifier, DC bus, inverter, filter, load and grid. In the first step, to run the PMSM with different speeds to get a different frequency to select the frequency on the side of a generation with the rated speed. Second step, solve the mathematical equation to use different values of wind speed with selected (15,20 m/s and less than with more than 15&20m/s). Third step, calculation the power generation with wind speed (15 m/5 & 20 m/s). Fourth step, using these component system rectifier, DC bus, inverter, filter, load & grid with WTGS & PMSM. Final step, uses different control systems, like classical PI controller, Expert System Fuzzy Logic controller and optimization PSO controller with PMSM to analyze all results after using the simulation model of proposed variable speed based on WECS. The wind turbine is coupled with PMSM. A closed loop control system with a PI control, fuzzy, PSO in the speed loop with current controllers. The simulation circuits for PMSM, inverter, speed and current controllers include all realistic components of the drive system. These results also confirmed that the transient torque and current never exceed the maximum permissible value. Keyword: FLC PI Controller PMSM PSO WTGS Copyright © 2016 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Chengxiong Mao, School of Electrical & Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China. Email: cxmao@hust.edu.cn 1. INTRODUCTION The most emerging renewable energy source, wind energy, by means of power electronics is changing from being a minor energy source to be acting as an important power source in the energy system. That wind power is also getting an added value in the power system operation. The power electronics are changing the basic characteristic of the wind turbine from being an energy source to be an active power source [1].The permanent magnet synchronous machine (PMSM), it has significant advantages, attracting the interest of researchers and industry for use in many applications, that uses permanent magnets to produce the air gap magnetic field rather than using electromagnets [2]. The PMSM, with high level energy permanent magnet materials particularly provide fast dynamics, efficient operation and good compatibility with the applications but only if they are controlled properly. The controller is using to overcome the nonlinearity problem of PMSM and also to achieve faster response [3]. Many industrial applications require new control techniques, the techniques used, applied in all regulation loops, speed regulation of permanent magnet synchronous machine (PMSM) [4]. The development of power electronics and electric technology boost PMSM for extensive applications in many control systems. And PMSM, which are widely used for systems and control devices minute owns several advantages over other machines on Milan. Advantages PMSM
  • 2.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 174 include large torque coefficient, and high efficiency, high energy density, and a torque multiplier is small, Low-inertia, low noise, and high-performance in a wide variety [5]. A way controller (PI) in addition to controllers with integral relative formulated and implemented, using speed control magnet synchronous machine system and a permanent pilot phase. While the new strategy promotes traditional PI control performance to a large extent, and proves to be a model-free approach completely, it also keeps the structure and features of a simple PI controller [6].The use consoles mode instead of Fuzzy-PI control to improve the performance of PMSM. To control the speed of PMSM by using fuzzy logic (FL) approach leads to a speed control to improve the dynamic behavior of the PMSM system and immune disorders to download and parameter variations [7,8]. In the WTGS systems and gains from the traditional can’t usually be set in proportion-integral (PI) controller speed large enough because of mechanical resonance. As a result, performance degradation and speed control. Fuzzy logic controller (FLC) for use in WTGS systems in order to improve the performance of the speed control. The proposed FLC has been compared with traditional PI control with respect to the speed of response and dynamic load torque. Simulation and experimental results have proved that FLC was proposed is superior to the traditional PI. This FLC can be a satisfactory solution for the high-performance machine lifts systems [9-11]. A modern way to control the speed of PMSM using particle swarm optimization (PSO) to improve the algorithm parameters observer PI-. Simulate the system under different operating year conditions is prepared and the experimental setup. Use PSO algorithm and optimization make a powerful engine, with faster response and higher resolution dynamic and sensitive to load variation [12, 13]. 2. MODEL FOR A PMSM DRIVE (Figure 1 block diagram of a PMSM & Figure2 block diagram of a PMSM Drive) The complete nonlinear model of a PMSM without damper winding is as follows: vq = Riq + pLqiq + s(Ldid + af) (1) vd = Rid + pd -s Lq iq (2) vd and vq are the d,q axis voltages, id and iq are the d,q axis stator currents, Ld and Lq are the d,q axis inductances, R and s are the stator resistance and inverter frequency respectively. af is the flux linkage due to the rotor magnets linking the stator. The electric torque: Te = 3P(af iq + (Ld - Lq)idiq)/2 (3) The motor dynamics: rr JpB   TT Le (4) P is the number of pole pairs, TL is the load torque, B is the damping coefficient, r is the rotor speed and J the moment of inertia. The inverter frequency is related to the rotor speed as follows: rs p  (5) The machine model is nonlinear as it contains product terms such as speed with id and iq. Note that r , id and iq are state variables. During vector control, id is normally forced to be zero qtqe iK/2i3PT  af (6)
  • 3. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 175 TL iq TL - iq - r - r - + vq Figure 1. Block diagram of a PMSM Figure 2. Block diagram of a PMSM Drive 3. SPEED CONTROL OF PMSM (Figure 3. Block Diagram of Speed Control of PMSM). The PMSM is using control to suppress harmonic noise to a level. Then, noise to a level below and vibration to make the rotation even quieter. Current Current Command measurement Speed measurement Figure 3. Block Diagram of Speed Control of PMSM IGBT SPWM inverters make the rotation smoother with precisely adjusting speed control with frequency and voltage regulation. It has the latest low-noise power units to make the rotation even quieter. WGS has directed high-speed used (100 or150 rpm) PMSM. Energy reform in the WGS geared. 3.1. PI Controller Modeling In the PI speed controller the machine speed is compared with the reference speed and the speed error is the nth sampling interval as ωe[n] = ωr*[n] – ωr[n] (7) The output of the speed controller gives the reference torque. Hence the output of the speed controller at the nth sampling interval is T[n] = T[n-1] + Kp(ωe[n] – ωe[n-1]) + Ki.ωe[n] (8) For constant air gap flux operation reference quadrature axis current is given as iq* = T[n]/Kt (9) The limiter is used to limit the maximum value of output of speed controller. The maximum machine rated current and device current of the converter dictate the limit. Where, ωe[n] is speed error at nth instant, ωr*[n] is the reference speed at nth instant ωr[n] is the actual machine speed at nth instant, ωe[n-1] is the speed error at (n-1)th instant T[n] is the reference torque at nth instant, T[n-1] is the reference torque at (n-1)th instant Kp is proportional gain of the speed controller sLR q 1 p af kt Speed Control Current Control JsB  1 p af sLR q 1 kt JsB  1 LoodInverter PMSM Speed control Current controller DC Speed command
  • 4.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 176 Ki is integral gain of the speed controller is reference quadrature axis current Kt is torque constant 3.2. Fuzzy Logic Controller The Basic configuration of a Fuzzy Logic Controller (FLC) consists of the following components: 1) Fuzzification Interface 2) Knowledge Base (KB) 3) Decision Making Logic 4) Defuzzification Interface A fuzzy controller is a special fuzzy system that can be used as a controller component in a closed loop system. The integration of a fuzzy system into a closed loop is shown. Special emphasis is put onto the transfer behavior of fuzzy controllers, which are analyzed using different configurations of standard membership functions. For a PM machine drive system with a full speed range, the system will consist of a machine, an inverter, controller (constant torque and flux weakening operation, generation of reference currents and PI controller) 3.3. Particle Swarm Optimization It is a technique used to explore the search space for a given problem to find the settings or parameters required to optimize a particular objective. PSO has two main concepts: the first is through the observation of human decision making, it was proposed that humans use both their own best experience and others’ best experience to form a basis of making a decision, to develop the concepts of individual learning and cultural transmission. The second is to propose a simple theory to explain group behavior in nature, and to popularize the theory to create systems to simulate things. The biggest characteristic of PSO is in its simple structure, fast convergence, and its ability to prevent falling into a local optimum solution. At the same time, PSO is a random algorithm with a parallel structure. A uniform distribution is used to randomly create a particle swarm. Each particle represents a feasible solution to the problem, the particle swarm refers to the individual’s best experience, and the group’s best experience, and logically chooses the method it will move itself. After continuous iterations, the particle swarm will gravitate towards the optimum solution. 4. WIND TURBINE GENERATION SYSTEM (WTGS) & MATHEMATICAL MODELING 4.1. Wind Turbine Generation System (WTGS) Wind Turbine Generation System (WTGS) is used to convert kinetic energy into electrical energy. As wind case varies, the electrical energy produced from the generator needs to be converted for convenience. An inverter, rectifier, transformer and filter are needed within the Wind Turbine Generation System (WTGS), in order for utility-grade AC power to be transmitted over long distances (Figure 4). A transformer is usually installed at the undermost of the tower to provide voltage diversion from the low voltage by the wind turbine, to medium/high voltage for transit. Figure 4. PMSM Wind Energy Conversion System Most modern Wind Turbine Generation System (WTGS) have intelligent feature to observe and control the system to diverse wind conditions. Like, atmospheric sensors detect wind speed and direction. Other sensors observe the status and strength of the turbine parts to bypass run-to-failure. Wind turbines need
  • 5. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 177 to resist extreme weather conditions, such as storms and lightning. In these types of conditions, it is important to ensure that the turbine monitoring system is designed to provide high voltage. 4.2. Mathematical Modeling of Wind Turbines 1st E:Kinetic Energy m: Total mass Vw: The velocity of the air particles (Wind Speed) 2 2 1 mVE  (10) 2nd The air particles are moving at a speed(Vw)of the particles for a period of time, t, can be rewritten as follows: tVrtVm   2  (11)  : the air density A: the swept area of the wind turbine rotor r: the radius of the wind turbine rotor 3rd the kinetic energy of the air particles can be expressed as follows: tVrE 32 2 1  (13) 4th the actual wind power at any instant of time can be represented as: 32 2 1  Vr t E Pwind  (14) where, windP , is the potentially available power in the wind. 5th The relationship between the power that is captured by the wind turbine and the potential maximum power in the wind can be expressed as follows: wind Turbine p P P C  (15) where, TurbineP is the mechanical power captured by the wind turbine, and Cp is the power coefficient of the wind turbine which can be expressed as follows:    1 54321 6 ) 1 ( c p ecccccC    (16) 3 1 035.0 08.0 11      (17)   Vrm / 1  (18)
  • 6.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 178 where,  , is the blade angle and  is the tip speed ratio of the wind turbine, while, m , is the angular speed of the wind turbine generator. The values of the coefficients (c1~c6) depend on the type of the wind turbine. 32 ),( 2 1  VCrP pTurbine  (19) 5. SIMULATION RESULTS By using Simulation model PMSM & Simulation of WTGS Drive system by using PMSM: 5.1. Simulation model Permanent Magnet Synchronous Machine (PMSM). Model of the system (Figure 5) is verified through computer simulations using the software package MATLAB/Simulink. Summarizes the performance of the WTGS, both in computer simulation and experimental implementation. The analyzed WGS considers electrical drive (PMSM Drive System). Figure 5. Simulation Model of PMSM Drive converter is currently regulated SPWM voltage source inverter (CRSPWM VSI) direct current power supply. The controller is used for the task to provide position reference tracking and zero error in steady state. Constant load is usual for WTGS. Thus, controller with proportional and integral action (PI) is used, Block diagram of PI Controller is shown in Figure 6. Figure 6. Block diagram of PI Controller Simulation of the entire system with the designed controller is made in the Matlab/Simulink and given results show that design controller meets the requirements completely smooth and precise position and speed.
  • 7. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 179 To verify the feasibility of control, PMSM drive simulation model with control is created and studied using MATLAB. Simulation parameters: stator resistance Rs = 0.01Ω, inductance Ld = Lq = 0.01835H, flux Ψ = 0.4 V.s, pair of poles p = 3, inertia J = 0.029kg.m2. Simulation conditions: reference speed n = 100,150 rad / s, start with TL = 0N.m. Simulation results are presented in Figure 7-9 speed is shown in Figure 7, Torque is shown in Figure 8, and current is shown in Figure 9. It is obvious that correct responses to speed, current, and torque in a control system. Using PI control and Fuzzy control has a good application for PMSM drive. At the same time, with speed have faster response. Ripple of torque is obviously reduced. So the system performance is improved. Figure 7. Simulation result response of Speed Figure 8. Simulation result response of Torque Figure 9. Simulation result response of Current 5.2. Simulation of WTGS with PMSM. To Analysis simulation results, There are some cases to do it as a following analysis WTGS By Using PMSM (Speed, Torque, Current) and (Tm(pu),Wind Speed, Vdc, Grid Voltage and Grad Current). First step, to run the PMSM with different speeds to get a different frequency to select the frequency on the side generation with the rated speed. The simulation result in the table (1), it was clearly to
  • 8.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 180 get 5Hz side of generation by using rotation speed 100 rad/sec which using the simulation system of this work. Simulation Model of PMSM is illustrated in figure (5) which using this step. Table 1. PMSM with different speeds to get different frequency Rated Speed(rad/sec) Time(sec) Frequency(Hz) 50 0.42 2.38 100 0.2 5 200 0.1 10 1000 0.02 50 1500 0.01666 60 a) Speed b) Current Figure 10. Simulation Model of PMSM at Speed=100,5Hz, a) Speed & b) Current a) Speed
  • 9. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 181 b) Current Figure 11. Simulation Model of PMSM at Speed=200,10Hz, a) Speed & b) Current Second step, solve the mathematical equation to use different values of wind speed with selected (15, 20 m/s and less than with more than 15&20m/s). In this paper, we used two types of variable and constant speed. Constant speed has (15m/s, 20m/s, 15&20m/s), one hour the speed was (15m/s) so one time by using (20m/s) the third time four hours be used (15&20m/s). For one day, we used variable speed with more than (15&20m/s) so less than (15&20m/s). Used a special type to get variable speed with more than (15&20m/s) so less than (15&20m/s). We need a mathematical equation by designed to these values. First, selected some values like (15, 20, 20.42, 20.38, 19.68, 15.42, 15.38, 14.98&14.68). Second, Amplitude &Frequency: Amplitude, X0 = 15m/s, X1 = 20m/s, S1 = 0.4m/s, S2 = 0.2m/s, S3 = 0.02 & S4 = 0.002 Y1=X0+S1+S2+S3+S4 (20) Y2=X1+S1+S2+S3+S4 (21) Frequency, X0 for 12 hours, X1 for 12 hours, S1 at 0.175 hours, S2 at 0.5 hours, S3 at 0.08 hours & S4 at 0.25 hours. Simulation model (wind speed) of this step is shown in figure (12) and the simulation results is shown in figures (13). Figure 12. Simulation model of wind speed
  • 10.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 182 0 5 10 15 20 10 15 20 25 Time WindSpeed Wind Speed(m/s) Figure 13. Variable wind speed (15m/s at 12Hours &20m/s at 12Hours) Third step, Calculation the power generation with wind speed (15 m/5 & 20 m/s). In this step, by using equation of power generation with have date of wind energy turbine. By using Parameters and operating conditions PMSM, 2.0 MW, 690 V, 9.75 Hz, Rated Mechanical Power 2.0 MW Rated Apparent Power 2.2419 MVA, Rated Power Factor 0.8921 Rated Rotor Speed 22.5 r/min, Number of Pole Pairs 26 Rated Mechanical Torque 848826 Nm, Rated Rotor Flux Linkage 5.8264 (rms) Stator Winding Resistance 0.821m, d axis Synchronous Inductance 1.5731mH q axis Synchronous Inductance 1.5731mH, Wind Turbine Rotor Radius 34 m Wind Turbine Optimal Tip Speed Ratio 6.16, IGBT Modulation Frequency 1.5 kHz 1st when the wind speed is 15m/s Speed 6.70 34 15*16.6*26 ) 2 (  r Vp e   Power MWP P VCrP Turbine Turbine pTurbine 00142395.310*00142395.395.3001423 )15(*4.0*)34(*14.3*225.1*5.0 ),( 2 1 6 32 32     Torque 1115770 26/6.70 95.3001423 26/  Speed PowerPower Torque m Current 2nd when the wind speed is 20m/s Speed 211.94 34 20*16.6*26 ) 2 (  r Vp e   Power MWP P VCrP Turbine Turbine pTurbine 1144864.710*1144864.74.7114486 )20(*4.0*)34(*14.3*225.1*5.0 ),( 2 1 6 32 32     Torque 3.2831636 26/211.94 4.7114486 26/  Speed PowerPower Torque m 11.3472 2398.8*26*5.1 1115770 ) 2 )( 2 3 (  r qs p Torque i 
  • 11. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 183 Current 62.8811 2398.8*26*5.1 3.2831636 ) 2 )( 2 3 (  r qs p Torque i  Fourth step, using these component system Rectifier, DC bus, Inverter, Filter, Load & Grid with WTG & PMSM. Simulation model (wind speed) of this step as shown in figures (14&15) and the simulation results as shown in figures (16-22). Figure 14. WTG & PMSM. Simulation model with wind speed (15m/s at 2Hours &20m/s at 2Hours) Figure 15. WTG & PMSM. Simulation model with wind speed (15m/s at 12Hours &20m/s at 12Hours)
  • 12.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 184 Figure 16. Wind speed (15m/s at 2Hours &20m/s at 2Hours) Figure 17. Current (Iabc) (15m/s at 2Hours &20m/s at 2Hours) Figure 18. Tm (pu) with wind speed (15m/s at 2Hours &20m/s at 2Hours) Figure 19. Current (Iabc) with wind speed (15m/s at 12Hours &20m/s at 12Hours) 0 0.5 1 1.5 2 2.5 3 3.5 4 10 15 20 25 Time WindSpeed Wind Speed(m/s) 0 0.5 1 1.5 2 2.5 3 3.5 4 -10 -5 0 5 10 15 Time Current Iabc 0 0.5 1 1.5 2 2.5 3 3.5 4 0.75 0.8 0.85 0.9 0.95 1 Time Tm(pu) Tm(pu) 0 5 10 15 20 25 -15 -10 -5 0 5 10 15 Time Current(Iabc) Iabc
  • 13. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 185 Figure 20. Tm (pu) with wind speed (15m/s at 12Hours &20m/s at 12Hours) Figure 21. Simulation response of Voltage o/p filter (Vab) Figure 22. Simulation response of Voltage Grid (Vab) Final step, use different control systems, Like Classical PI Controller, Expert System Fuzzy Logic Controller and Optimization PSO Controller With PMSM to analysis all result.Simulation models (Classical PI Controller, Expert System Fuzzy Logic Controller and Optimization PSO Controller With PMSM) of this step as shown in figures (23-25) &The transfer function of the PMSM can be obtained from its state model by using the following formula: T(S) = C [SI-A] B + D (22) And the transfer function of the PMSM considered is [14]: (23) The the simulation model for transfer function of the PMSM as shown in figures (26-28) and simulation results as shown in figures (29-34). 0 5 10 15 20 25 0.78 0.8 0.82 0.84 0.86 0.88 0.9 0.92 0.94 0.96 Time Tm(pu) Tm(pu) 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 -1000 -800 -600 -400 -200 0 200 400 600 800 1000 Time Vab Torque 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 -8 -6 -4 -2 0 2 4 6 8 x 10 4 Time VabGrid Torque )23( 49.295.1176.14 88.534.14 . 23 2    sss ss FT
  • 14.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 186 Figure 23. Simulation model with PI Controller Figure 24. Simulation model with Fuzzy_PI Controller
  • 15. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 187 Figure 25. Simulation model with PSO_PI Controller Figure 26. Simulation model for transfer function of the PMSM with PI control Figure 27. Simulation model for transfer function of the PMSM with Fuzzy_PI control Figure 28. Simulation model for transfer function of the PMSM with PSO_PI control
  • 16.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 188 a) PI Control b) Fuzzy_PI Control c) PI Control & Fuzzy_PI Control Figure 29. Simulation Response of a) PI Control, b) Fuzzy_PI Control, c) PI Control & Fuzzy_PI Control a) PI Control b) Fuzzy_PI Control c) PI Control & Fuzzy_PI Control Figure 30. Simulation Response (pu) of a) PI Control, b) Fuzzy_PI Control, c) PI Control & Fuzzy_PI Control 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed 0 5 10 15 20 25 0 20 40 60 80 100 120 Speed Time Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Speed Time Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time Speed Speed
  • 17. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 189 a) PI Control b) PSO _PI Control c) PI Control & PSO_PI Control Figure 31. Simulation Response (pu) of a) PI Control, b) PSO _PI Control, c) PI Control & PSO_PI Control 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Speed Time Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time Speed Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time Speed Speed
  • 18.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 190 a) PI Control b) PSO _PI Control c) PI Control & PSO_PI Control Figure 32. Simulation Response of a) PI Control, b) PSO _PI Control, c) PI Control & PSO_PI Control Figure 33. Simulation Response (pu) of PI Control, Fuzzy_PI Control & PSO_PI Control Figure 34. Simulation Response of PI Control, Fuzzy_PI Control & PSO_PI Control 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed Speed 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed Speed 0 5 10 15 20 25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Time SPEED Speed PI,Fuzzy_PI&PSO_PI Control 0 5 10 15 20 25 0 20 40 60 80 100 120 Time Speed Speed
  • 19. IJPEDS ISSN: 2088-8694  Advanced Optimal PSO, Fuzzy & PI Controller With PMSM &WTGS At 5Hz Side Of …(Chengxiong Mao) 191 6. CONCLUSION This paper will cover the simulation, and implementation of a PMSM controlled by a control system WGS system, the implementation of a WTGS by the electric system through the addition of control systems and switching power supplies. Simulation of WGS with PMSM is used for this paper. There are some tasks to achieve a WGS, determining the parameters of PMSM, designing a control system, and verifying the performance of the system through use of computer simulations and experimental testing. Implementation of a WGS with a PMSM is successful and provides an illustrative example to those who wish to apply electric drives to various electrical systems. Wind energy is seen nowadays as one of the most promising energy sources. Variable speed wind turbine generators, a new topology of wind turbine generation system (WTGS) based on a permanent magnet synchronous machine (PMSM) with full rated converter have become more popular due to the decreasing price of the power electronics. Better behavior under grid, disturbances as the machine is isolated from the grid by the converter and the full power rated converter allows to easily implement new behaviors to provide grid. Control of the grid connection inverter and the generator rectifier and increases the robustness in case of communication failure between the control systems of both sides of the back-to-back converter allowing to place both sides in different locations far from each other. Also, even though here a PMSM wind turbine with full power converter will be considered, the same procedure can be easily extended to other topology of wind generators connected to the grid through full power converters. REFERENCES [1] F. Blaabjerg, Z. Chen, R. Teodorescu, F. Iov’Power Electronics in Wind Turbine Systems’, Power Electronics and Motion Control Conference, 2006. IPEMC 2006. CES/IEEE 5th International, Volume 1, 2006, Page(s): 1 - 11. [2] Kiran Boby, Prof.Acy M Kottalil, N.P. Ananthamoorthy, Simulation of PMSM Vector Control System with Fuzzy Self-Adjusting PID Controller Using MATLAB, International Journal of Scientific and Research Publications, Volume 3, Issue 3, March 2013, Page(s): 1 - 4. [3] Davendra Yadav, Sunil Bansal, Munendra Kumar, Design, Development & Simulation of Fuzzy Logic Controller to Control the Speed of Permanent Magnet Synchronous Motor Drive System, Journal of Electrical and Electronics Engineering Research, Vol. 3(3), March 2011, Page(s): 52-61. [4] M.T. Benchouia, S.E. Zouzou, A. Golea, and A. Ghamri, Modeling and Simulation of Variable Speed Drive System with Adaptive Fuzzy Controller Application to PMSM, 2004 IEEE International Conference on Industrial Technology (ICIT), Page(s): 683 - 687. [5] Xiao Xi; Li Yongdong; Li Min, Performance control of PMSM drives using a self-tuning PID, 2005 IEEE International Conference, Page(s): 1053 - 1057. [6] Francesco Parasiliti, and Daqing Zhang, Real-Time Gain Tuning of PI Controllers for High-Performance PMSM Drives, IEEE Transaction on Industry Applications, Vol. 38, No. 4, July/August 2002, Page(s): 1018 - 1026. [7] Amine B M, Souhila Z, Tayeb A. Adaptive Fuzzy Logic Control of Wind Turbine Emulator. International Journal of Power Electronics and Drive Systems (IJPEDS), 2014, 4(2): 241-255. [8] Madhumita Chakraborty, Comparative Analysis of Speed Control of PMSM using PI-Controller and Fuzzy Controller, International Journal of Scientific & Engineering Research, Volume 4, Issue 7, July-2013, Page(s): 103 - 108 [9] Dibin Chandran, M Lydia’Vector Control of Wind Turbine Generating System Using PI and Model Predictive Controller’, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Volume-2, Issue- 2, January 2013, pages: 123 - 127. [10] A. M. Shiddiq Yunus, A. Abu-Siada and M.A.S Masoum ‘Application of SMES Unit to improve the performance of wind turbine conversion system’Shiddiq Yunus et al./ Elixir Elec. Engg. 38 (2011) 4315-4319. [11] Glaoui H, Abdelkader H, Messaoudi I, et al. Modeling of Wind Energy on Isolated Area. International Journal of Power Electronics and Drive Systems (IJPEDS), 2014, 4(2): 274-280. [12] Salim M, Sarvi M. Induction Motor Speed Control Using Indirect Z-source Matrix Converter with PSO-PI Controller under Various Break Conditions. International Journal of Power Electronics and Drive Systems (IJPEDS), 2013, 3(1): 41-52. [13] Weihua Li, Ziying Chen, Wenping Cao ’ptimization of Permanent Magnet Synchronous Motor Vector Control System Based on Particle Swarm Optimization, Journal of Information & Computational Science, September 1, 2014, pages 4687–4696. [14] B. Jaganathan, R. Brindha, Pallavi Murthy, Nagulapati Kiran, Swetha. S, ‘An Online Tuning of a PMSM for Improved Transient Response Using Ziegler-Nichol’s Method’, Proc. of Int. Conf. on Advances in Electrical & Electronics 2010, pages 189-192.
  • 20.  ISSN: 2088-8694 IJPEDS Vol. 7, No. 1, March 2016 : 173 – 192 192 BIOGRAPHIES OF AUTHORS Salam Waley Shneen received his BSC.Degree in Electrical Engineering & Education University of Technology Technical Education department. Iraq-Baghdad, 1998. Msc. Degree in Electrical Engineering & Education University of Technology Technical Education department. Iraq- Baghdad, 2005. Presently, he is a Ph.D. student in Department of Electrical Engineering, from Huazhong University of Science & Technology (HUST), in 2013 to 2016, he joined Assist. Lecturer of Electro Mechanical Engineering Department, University of Technology / Baghdad. His fields of interest are power electronic, electronic, control and the excitation control of synchronous generator and applications of high power electronic technology to power system. E-mail:salam_waley73@yahoo.com Chengxiong Mao (M’93-SM’08) received his B.S., M.S. and Ph.D. degrees in Department of Electrical Engineering, from Huazhong University of Science & Technology (HUST), in 1984, 1987 and 1991 respectively. He was a visiting scholar in University of Calgary, Canada, from Jan. 1989 to Jan. 1990 and in Queen's University of Belfast from Dec. 1994 to Dec. 1995 respectively. He was doing researches in Technische Universitaet Berlin from April 1996 to April 1997 under the support of Humboldt Foundation. Presently, he is a professor of HUST. His fields of interest are power system operation and control, the excitation control of synchronous generator and applications of high power electronic technology to power system. E-mail: cxmao@263.net Dan Wang (M’07) received his B.S., M.S. and Ph. D. degrees in Department of Electrical Engineering, from Huazhong University of Science & Technology (HUST), Hubei, China, in 1999, 2002 and 2006 respectively. He was a Postdoctoral Researcher, from 2006 to 2008, sponsored by China Postdoctoral Science Foundation in Department of Control Science & Engineering, HUST. From 2008 to 2009, he was a visiting research associate in the Department of Electrical and Computer Engineering at Michigan State University, US. In 2008, he joined HUST. Presently, he is an associate professor in HUST. His research interests include power system operations and control and power conditioning and grid-connection of alternative energy sources. E-mail: wangdan@mail.hust.edu.cn