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ก ก F F 8
2-4 . . 2555
ENETT8-RE24
1/8
ก F Fก ก F ก
Wind Turbine Simulator with a Separate Excite DC Motor
F * F F
ก ˂ ก F
39 F1 - ก ก 12110 F 0-2549-3567
E-mail : sr_bancha@hotmail.com,w_subsingha@hotmail.com
F
F ก F F ˂ ก ก F ก 1,000
F 220 F F (Speed Reference) F ก F F F DS 1104
F F F F ก PIC F PIC18F4431 ˈ
ก F ก ˈ ʽ ก F PI
F ก F F ก ʽ F ก F ก ˂ F
F 4 ก 2.5 m/s
ก ˂ 3 m/s 5.5 m/s
ก ˂ ก ก 9 m/s ก F F ก F F
ก F ก F F F F F
ก: F ˂ ก ก F ก, , F ก PIC
Abstract
This article presents the Wind Turbine Simulator with is drived by 1kw Separate Excite DC
Machine The input of the drive is controlled by wind turbine block set in Matlab/simulink of the via the
interface card real time DSP board (DS 1104 ) The DC drive control function is using the PIC micro
controller model PIC18F4431 which is implemented with PI control loop in order to fulfill in Armature
Voltage and Field control functions. The experiment is set into 4 level of a real time wind speed which is
fed into the dc drive .The 4 level of wind speed are 2.5 m/s which is the rotating/startup speed of wind
turbine, 3 m/s which is electrical power startup of wind turbine ,5.5 m/s which is the average wind speed
in Thailand and 9 m/s which is the maximum power speed of wind turbine that generate The experimental
resulted show that output motor speed is approximately equal to the reference speed in an acceptable
variation value.
Keywords: separate excite dc motor, Real-time, PIC microcontroller
The 8th
Conference of the Energy Network of Thailand
2-4 May 2012, Maha Sarakham, Thailand
ENETT8-RE24
2/8
1.
ˆ ก ก
[1] [2] F ก ก ก
Fก ก ก F ก F
ก ก ก ก
F ก
F
ก Fก F F
ก ก F
F F F ก
ก ˈ 2 F F ก ˈ ก
ก ก ก F
Wind Turbine Model F
F ˈ F ก
DC motor F ˈ ก
F F F F
Fก Real time
F DS1104 board
DC motor ก F F
F PIC 18F4431
1 F ก
2. ก F
2.1 (Wind Speed Model)
[3] ก ก
F F ก ก
ก ก
F F F
F F
ˆ 2 F
(ก) F ก ˈ F
ก F
( ) F ˈ F Turbulence
ˈ ก ก
F 2
2 ก ก
2.2 ก (Wind Turbine Model)
3 ก
ก ก F F 8
2-4 . . 2555
ENETT8-RE24
3/8
F ก F G = 1
gω = ω ก ก ก
F J = tJ + gJ B = tB + gB
F F
( )a eT T JD B ω− = + (1)
ก ก d
D
dt
=
ก F aT ˈ F F
F ก w F ก
ก F ก ก ก ก
F ก F ก ก ˂ ก
ก F ก ก 2
( )2 3
, ,
2
a p
p
P R v Cπ ν ω β= (2)
ก F ก
β F pC Fก
F ν ω F F ก F λ
F F (Tip Speed
Ratio) ก (3)
v
R
λ
ω = (3)
F 2 3
( )
2
a p
p
P R v Cπ λ= (4)
F a
a
P
T
ω
= F F
aT = 2
2
p
Rπ
3
v
ω
( )pC λ (5)
F v
R
λ
ω = F
aT 3 2
2
p
R vπ=
1
λ
pC ( )λ 3 2
2
p
R vπ= ( )TC λ (6)
F ( )TC λ =
( )pC λ
λ
ก F
( )pC λ ก F F ก
4 F F ก ( PC )
ก F (λ )
ก 3 ก ˈ
ก F
F ก F ก ก
(Disturbance) ก ก 6
ก ก ก F 5
5 ก ก ก
ก 5 F ก ก
ก ก F F ก
Matlab/Simulink F F ก F
pC F ก Look-Up Table ก
Matlab/Simulink F ก F pC F
กก Interpolation
2.3 F ˂ ก ก F ก
F ˂ ก ก F ก
(Separate excite dc motor) ˈ F F
˂ ก ก F
F 2 F ʽ F
ก F
F ก F F
F F ก F ก
ก ก
F ʽ F F F ก F
F ก F ก ก
ʽ F [1]
0 2 4 6 8 10 12
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
PowerCoefficient(Cp)
←0←5
Trip speed ratio
Power Coefficient of the Wind Turbine Simulator
The 8th
Conference of the Energy Network of Thailand
2-4 May 2012, Maha Sarakham, Thailand
ENETT8-RE24
4/8
6 Fก ก F ก
ก 6 ก F F
ก F ˅ ˈ ก F
[4]
a
a a a a g
di
V i R L e
dt
= + + (7)
g v fe K i ω= (8)
F a
a a a a v f
di
V i R L K i
dt
ω= + + (9)
ก F vK ˈ (V.s/rad). ก
ก 2 F
( ) ( ) ( ) ( )a a a a a v fI s I s R L sI s K I sω= + + (10)
ก ก 3 F F ˈ
( ) ( )
( )
a v f
a
a a
V s K I s
I s
sL R
ω−
=
+
(11)
ก 4 ก F
d L
d
T J B T
dt
ω
ω= + + (12)
ก ก 5 ก F
( ) ( )d t f aT s K I I s= ( ) 0LT s = F
( )
( ) t f aK I I s
s
sJ B
ω =
+
(13)
tK ˈ F (N.m/A).
F ( )aI s ก 10 12
ˆ กF F armature voltage ( aV )
F (ω) F ˈ
2
2
2
/( )
( ) ( )
1
t f a f
a v fa a
a a a f
K I R R Bs
V s K VL J L J
s s
R B R B R R B
ω
=
    
+ + + +    
      
(14)
ก F v tK K= F
2
2
2
/( )
( ) ( )
1
f a f
a fa a
a a a f
K I R R Bs
V s K VL J L J
s s
R B R B R R B
ω
=
    
+ + + +    
      
(15)
ก ก F F F 1
1 F F F
F F
˂ Va = 220 V
ก F F Ia=5.6 A
F F F Ra=2.2
F ʽ F Rf=400
F F F aL =0.015 H
F ʽ F fL =7H
Mechanical time constant mT =2.75 sec
Moment of inertia J= 2.92*10-3
kg. 2
m
Viscous friction coefficient B=37.77*10-3
N.m.s/rad
2 F F F
ก F ʽ ก
F PIC18F4431
ˈ F ก DS 1104 F
PIC18F4431 F ก ก
F F F F F F F
ก HyperTerminal F ก
ʽ F ˈ
F
ก F ก F F
F Kp Ki
ก F F 5 0.5
F F 1 0.02
ʽ F 1 0.005
ก ก F F 8
2-4 . . 2555
ENETT8-RE24
5/8
ก F F (set point,SV) F ก F
F ( Process value,PV)
7 ก ก ก
2.4 ก F F
forward converter
ˈ F F
30 kHz PWM 1
PWM 2 ก OPTO F TLP250 F
PWM ก F
PIC18F4431 F
F ก F F
IRFP460LC F 500 F
ก F 20 ˅ ก Fก
F drain source
F ก F F
ก ก 15 F -5 F
ก OPTO TLP250 ˈ F ก
ก F F ก ก
F ก ก F
ก F ก F
F
8 ก F F (Va)
9 ก ʽ F (Vf)
2.6 ก ก F Software
F F ˈ ก F
close loop control F F
PI Control F F F F F
ก F F ˂ F ก (set point, Sv) F
F ก F ˈ F ก F
(Current set point ,Is) F ก
ก F F PWM
(Manipulate value ,Mv) F
ก ก PI-Control [5]
1
( ) ( ) ( )ssv v c
i
M t M K e t e t dt
T
 
= ± + 
 
∫
(13)
ก F
Sv F ก DS 1104
Pv F F
Is F ก F F F กก
Iv F ก F
Mv 8 F F ก
0-255
The 8th
Conference of the Energy Network of Thailand
2-4 May 2012, Maha Sarakham, Thailand
ENETT8-RE24
6/8
1 F F ก F F ก F F ก
F กก ก F ก F
ก F vM ก
1 s verr I I= − (16)
1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= + − + (17)
F vM ≥ 254 F vM F ก 254
F 1 ˈ F F
ก ก DS 1104
(Sv) ก 3 4
2 F F ก F กก F F ก
F กก ก F ก
ก F vM ก
1 v serr I I= − (18)
1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= − − + (19)
F vM ≤ 1 F vM F ก 1
F 2 ˈ F F
ก ก DS 1104
(Sv) ก 3 4 ก 1
2 F ˈ ก ก ก F
3 4
3 ก F F F ก F
F ก DS 1104 (Sv) ก
F F ก F vM
ก
1 v verr S P= − (20)
1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= + − + (21)
F vM ≥ 254 F vM F ก 254
4 ก F F กก F
F ก DS 1104 ก
F F ก F vM
ก
1 v verr P S= − (22)
1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= − − + (23)
F vM ≤ 1 F vM F ก 1
5 ก s vI I= F v vP S= F
F
v s v v vM I I P S= = = = (24)
2.7 ก ก
F ก PIC C Compiler
F ก F ก
encoder F F ก DS
1104 F ก F F ก F
PWM ก
ก ก F F PWM
Va Vf
PWM = PWM + (Kp0 * error) + (Ki0 *
(error+error2) * dt); (24)
FPWM = FPWM + (Kp1 * error) + (Ki1 *
(error+error2) * dt); (25)
10 F ก F F
ก ก F ก
3. ก
3.1 ก F ก
Matlab/Simulink F ก F F
ก ก
Matlab/Simulink ก F F F
F ก F ก ก
ก Matlab/Simulink F ก F
ก F F F ก F
F F ก F Blade
Diameter F ก 2.7 m, F ก
1.225 kg/m3
4 1.
ก ก F F 8
2-4 . . 2555
ENETT8-RE24
7/8
ก 2.5 m/s 2.
ก ˂ 3 m/s 3.
5-6 m/s 4.
ก ˂ ก 9
m/s
12 2.5
m/s ก ก
13 3
m/s ก ก
14
5.5m/s ก ก
15 9
m/s ก ก
ก 12 F 2.5
m/s F 0.03 N-m 13 F
3 m/s F 0.4
N-m 14 F 5.5 m/s
F 0.9 N-m 15 F
9 m/s F 1.9
N-m F F
Fก
3.2 ก ก F
F ˂ ก F ก F
F DS1104
16 2.5 m/s
17 3 m/s
18 5.5 m/s
The 8th
Conference of the Energy Network of Thailand
2-4 May 2012, Maha Sarakham, Thailand
ENETT8-RE24
8/8
19 9 m/s
3 F 16-19
(m/s)
F F
2.5 (sv) 506.15 10.36 0.84
F (pv) 506.45 11.20
3 (sv) 561.52 11.65 4.54
F (pv) 560.39 16.19
5.5 (sv) 837.49 11.41 1.57
F (pv) 838.39 12.98
9 (sv) 1194.52 39.64 4.77
F (pv) 1193.46 34.87
4. ก
กก ก F F F ก
Hyper Terminal ก
F F กก ก ก F
2.5 m/s 3m/s 5m/s ˈ F
ก F F F
F F F F ก 0.84 4.54 1.57
9 m/s ˈ F ก
ʽ F F F F
4.77 F F F F
ก F F F F F
ก ก F ก F ก
ก F
5. ก F
[1]R.II.Ovando,J.Aguayo, M. Cotorogea Emulation
of a Low power Wind Turbine with a DC motor in
Matlab/Simulink Centro Nacional de Investigaciòn
yDesarrollo Tecnològico (CENIDET)Departamento
de Ingenierìa Electrònica Interior Internado
Palmire s/n Apdo. 5-164. C.p.62050,Cuernavaca,
Morelos, México Tel.: +52 (777) 3 62 77 70
[2] F ก F F.
(2547, ก ก - ).
, . 12 (2) .
57-73.
[3] F F
F F ก F F
F ก F F DS
1104 ก F ก ก ˂
2(5-6
ก F 2553 ) F
[4] Sasiya Udomsuk, Tidarut Areerak, Kongpol
Areerak and Kongpan Areerak, Power
Loss Identification of Separately Excited DC
Motor Using Adaptive Tabu Search , European
Journal of Scientific Research, Vol.60, No.4
(2011), pp.488-497.
[5] กF , ก
Fก ʽ F
ก visual basic. .
ก , 2549

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Eneett re 24

  • 1. ก ก F F 8 2-4 . . 2555 ENETT8-RE24 1/8 ก F Fก ก F ก Wind Turbine Simulator with a Separate Excite DC Motor F * F F ก ˂ ก F 39 F1 - ก ก 12110 F 0-2549-3567 E-mail : sr_bancha@hotmail.com,w_subsingha@hotmail.com F F ก F F ˂ ก ก F ก 1,000 F 220 F F (Speed Reference) F ก F F F DS 1104 F F F F ก PIC F PIC18F4431 ˈ ก F ก ˈ ʽ ก F PI F ก F F ก ʽ F ก F ก ˂ F F 4 ก 2.5 m/s ก ˂ 3 m/s 5.5 m/s ก ˂ ก ก 9 m/s ก F F ก F F ก F ก F F F F F ก: F ˂ ก ก F ก, , F ก PIC Abstract This article presents the Wind Turbine Simulator with is drived by 1kw Separate Excite DC Machine The input of the drive is controlled by wind turbine block set in Matlab/simulink of the via the interface card real time DSP board (DS 1104 ) The DC drive control function is using the PIC micro controller model PIC18F4431 which is implemented with PI control loop in order to fulfill in Armature Voltage and Field control functions. The experiment is set into 4 level of a real time wind speed which is fed into the dc drive .The 4 level of wind speed are 2.5 m/s which is the rotating/startup speed of wind turbine, 3 m/s which is electrical power startup of wind turbine ,5.5 m/s which is the average wind speed in Thailand and 9 m/s which is the maximum power speed of wind turbine that generate The experimental resulted show that output motor speed is approximately equal to the reference speed in an acceptable variation value. Keywords: separate excite dc motor, Real-time, PIC microcontroller
  • 2. The 8th Conference of the Energy Network of Thailand 2-4 May 2012, Maha Sarakham, Thailand ENETT8-RE24 2/8 1. ˆ ก ก [1] [2] F ก ก ก Fก ก ก F ก F ก ก ก ก F ก F ก Fก F F ก ก F F F F ก ก ˈ 2 F F ก ˈ ก ก ก ก F Wind Turbine Model F F ˈ F ก DC motor F ˈ ก F F F F Fก Real time F DS1104 board DC motor ก F F F PIC 18F4431 1 F ก 2. ก F 2.1 (Wind Speed Model) [3] ก ก F F ก ก ก ก F F F F F ˆ 2 F (ก) F ก ˈ F ก F ( ) F ˈ F Turbulence ˈ ก ก F 2 2 ก ก 2.2 ก (Wind Turbine Model) 3 ก
  • 3. ก ก F F 8 2-4 . . 2555 ENETT8-RE24 3/8 F ก F G = 1 gω = ω ก ก ก F J = tJ + gJ B = tB + gB F F ( )a eT T JD B ω− = + (1) ก ก d D dt = ก F aT ˈ F F F ก w F ก ก F ก ก ก ก F ก F ก ก ˂ ก ก F ก ก 2 ( )2 3 , , 2 a p p P R v Cπ ν ω β= (2) ก F ก β F pC Fก F ν ω F F ก F λ F F (Tip Speed Ratio) ก (3) v R λ ω = (3) F 2 3 ( ) 2 a p p P R v Cπ λ= (4) F a a P T ω = F F aT = 2 2 p Rπ 3 v ω ( )pC λ (5) F v R λ ω = F aT 3 2 2 p R vπ= 1 λ pC ( )λ 3 2 2 p R vπ= ( )TC λ (6) F ( )TC λ = ( )pC λ λ ก F ( )pC λ ก F F ก 4 F F ก ( PC ) ก F (λ ) ก 3 ก ˈ ก F F ก F ก ก (Disturbance) ก ก 6 ก ก ก F 5 5 ก ก ก ก 5 F ก ก ก ก F F ก Matlab/Simulink F F ก F pC F ก Look-Up Table ก Matlab/Simulink F ก F pC F กก Interpolation 2.3 F ˂ ก ก F ก F ˂ ก ก F ก (Separate excite dc motor) ˈ F F ˂ ก ก F F 2 F ʽ F ก F F ก F F F F ก F ก ก ก F ʽ F F F ก F F ก F ก ก ʽ F [1] 0 2 4 6 8 10 12 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 PowerCoefficient(Cp) ←0←5 Trip speed ratio Power Coefficient of the Wind Turbine Simulator
  • 4. The 8th Conference of the Energy Network of Thailand 2-4 May 2012, Maha Sarakham, Thailand ENETT8-RE24 4/8 6 Fก ก F ก ก 6 ก F F ก F ˅ ˈ ก F [4] a a a a a g di V i R L e dt = + + (7) g v fe K i ω= (8) F a a a a a v f di V i R L K i dt ω= + + (9) ก F vK ˈ (V.s/rad). ก ก 2 F ( ) ( ) ( ) ( )a a a a a v fI s I s R L sI s K I sω= + + (10) ก ก 3 F F ˈ ( ) ( ) ( ) a v f a a a V s K I s I s sL R ω− = + (11) ก 4 ก F d L d T J B T dt ω ω= + + (12) ก ก 5 ก F ( ) ( )d t f aT s K I I s= ( ) 0LT s = F ( ) ( ) t f aK I I s s sJ B ω = + (13) tK ˈ F (N.m/A). F ( )aI s ก 10 12 ˆ กF F armature voltage ( aV ) F (ω) F ˈ 2 2 2 /( ) ( ) ( ) 1 t f a f a v fa a a a a f K I R R Bs V s K VL J L J s s R B R B R R B ω =      + + + +            (14) ก F v tK K= F 2 2 2 /( ) ( ) ( ) 1 f a f a fa a a a a f K I R R Bs V s K VL J L J s s R B R B R R B ω =      + + + +            (15) ก ก F F F 1 1 F F F F F ˂ Va = 220 V ก F F Ia=5.6 A F F F Ra=2.2 F ʽ F Rf=400 F F F aL =0.015 H F ʽ F fL =7H Mechanical time constant mT =2.75 sec Moment of inertia J= 2.92*10-3 kg. 2 m Viscous friction coefficient B=37.77*10-3 N.m.s/rad 2 F F F ก F ʽ ก F PIC18F4431 ˈ F ก DS 1104 F PIC18F4431 F ก ก F F F F F F F ก HyperTerminal F ก ʽ F ˈ F ก F ก F F F Kp Ki ก F F 5 0.5 F F 1 0.02 ʽ F 1 0.005
  • 5. ก ก F F 8 2-4 . . 2555 ENETT8-RE24 5/8 ก F F (set point,SV) F ก F F ( Process value,PV) 7 ก ก ก 2.4 ก F F forward converter ˈ F F 30 kHz PWM 1 PWM 2 ก OPTO F TLP250 F PWM ก F PIC18F4431 F F ก F F IRFP460LC F 500 F ก F 20 ˅ ก Fก F drain source F ก F F ก ก 15 F -5 F ก OPTO TLP250 ˈ F ก ก F F ก ก F ก ก F ก F ก F F 8 ก F F (Va) 9 ก ʽ F (Vf) 2.6 ก ก F Software F F ˈ ก F close loop control F F PI Control F F F F F ก F F ˂ F ก (set point, Sv) F F ก F ˈ F ก F (Current set point ,Is) F ก ก F F PWM (Manipulate value ,Mv) F ก ก PI-Control [5] 1 ( ) ( ) ( )ssv v c i M t M K e t e t dt T   = ± +    ∫ (13) ก F Sv F ก DS 1104 Pv F F Is F ก F F F กก Iv F ก F Mv 8 F F ก 0-255
  • 6. The 8th Conference of the Energy Network of Thailand 2-4 May 2012, Maha Sarakham, Thailand ENETT8-RE24 6/8 1 F F ก F F ก F F ก F กก ก F ก F ก F vM ก 1 s verr I I= − (16) 1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= + − + (17) F vM ≥ 254 F vM F ก 254 F 1 ˈ F F ก ก DS 1104 (Sv) ก 3 4 2 F F ก F กก F F ก F กก ก F ก ก F vM ก 1 v serr I I= − (18) 1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= − − + (19) F vM ≤ 1 F vM F ก 1 F 2 ˈ F F ก ก DS 1104 (Sv) ก 3 4 ก 1 2 F ˈ ก ก ก F 3 4 3 ก F F F ก F F ก DS 1104 (Sv) ก F F ก F vM ก 1 v verr S P= − (20) 1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= + − + (21) F vM ≥ 254 F vM F ก 254 4 ก F F กก F F ก DS 1104 ก F F ก F vM ก 1 v verr P S= − (22) 1 1 2 1( ) [( ) / )]v v iM t M gain err err err T= − − + (23) F vM ≤ 1 F vM F ก 1 5 ก s vI I= F v vP S= F F v s v v vM I I P S= = = = (24) 2.7 ก ก F ก PIC C Compiler F ก F ก encoder F F ก DS 1104 F ก F F ก F PWM ก ก ก F F PWM Va Vf PWM = PWM + (Kp0 * error) + (Ki0 * (error+error2) * dt); (24) FPWM = FPWM + (Kp1 * error) + (Ki1 * (error+error2) * dt); (25) 10 F ก F F ก ก F ก 3. ก 3.1 ก F ก Matlab/Simulink F ก F F ก ก Matlab/Simulink ก F F F F ก F ก ก ก Matlab/Simulink F ก F ก F F F ก F F F ก F Blade Diameter F ก 2.7 m, F ก 1.225 kg/m3 4 1.
  • 7. ก ก F F 8 2-4 . . 2555 ENETT8-RE24 7/8 ก 2.5 m/s 2. ก ˂ 3 m/s 3. 5-6 m/s 4. ก ˂ ก 9 m/s 12 2.5 m/s ก ก 13 3 m/s ก ก 14 5.5m/s ก ก 15 9 m/s ก ก ก 12 F 2.5 m/s F 0.03 N-m 13 F 3 m/s F 0.4 N-m 14 F 5.5 m/s F 0.9 N-m 15 F 9 m/s F 1.9 N-m F F Fก 3.2 ก ก F F ˂ ก F ก F F DS1104 16 2.5 m/s 17 3 m/s 18 5.5 m/s
  • 8. The 8th Conference of the Energy Network of Thailand 2-4 May 2012, Maha Sarakham, Thailand ENETT8-RE24 8/8 19 9 m/s 3 F 16-19 (m/s) F F 2.5 (sv) 506.15 10.36 0.84 F (pv) 506.45 11.20 3 (sv) 561.52 11.65 4.54 F (pv) 560.39 16.19 5.5 (sv) 837.49 11.41 1.57 F (pv) 838.39 12.98 9 (sv) 1194.52 39.64 4.77 F (pv) 1193.46 34.87 4. ก กก ก F F F ก Hyper Terminal ก F F กก ก ก F 2.5 m/s 3m/s 5m/s ˈ F ก F F F F F F F ก 0.84 4.54 1.57 9 m/s ˈ F ก ʽ F F F F 4.77 F F F F ก F F F F F ก ก F ก F ก ก F 5. ก F [1]R.II.Ovando,J.Aguayo, M. Cotorogea Emulation of a Low power Wind Turbine with a DC motor in Matlab/Simulink Centro Nacional de Investigaciòn yDesarrollo Tecnològico (CENIDET)Departamento de Ingenierìa Electrònica Interior Internado Palmire s/n Apdo. 5-164. C.p.62050,Cuernavaca, Morelos, México Tel.: +52 (777) 3 62 77 70 [2] F ก F F. (2547, ก ก - ). , . 12 (2) . 57-73. [3] F F F F ก F F F ก F F DS 1104 ก F ก ก ˂ 2(5-6 ก F 2553 ) F [4] Sasiya Udomsuk, Tidarut Areerak, Kongpol Areerak and Kongpan Areerak, Power Loss Identification of Separately Excited DC Motor Using Adaptive Tabu Search , European Journal of Scientific Research, Vol.60, No.4 (2011), pp.488-497. [5] กF , ก Fก ʽ F ก visual basic. . ก , 2549