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𝜔𝑚
PMA
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
𝑃𝑠
GSC
DC
Chopper
SMES
COIL
Filter Grid
𝑃𝑔𝑟𝑖𝑑
Grid
fault.
𝑃
𝑔 ,𝑄𝑔
Wind
Speed
𝜽𝑺
𝜽𝑽
𝜽𝒊
𝑰𝒅𝒔 = 𝟎
𝝎𝒆
𝑰𝒒𝒔
𝝎𝒆
q-axis
d-axis
q-axis 𝑽𝒅𝒔 = 𝝎𝒆 𝑳𝒒 𝒊𝒔𝒒
𝝎𝒆
𝝀𝒓
𝝎𝒆
𝝎𝒆
𝑽𝒒𝒔 = 𝝀𝒓𝝎𝒆
𝑽𝒔
𝜽𝑺
𝜽𝑽
𝜽𝒊
𝝎𝒆
𝝎𝒆
q-axis
q-axis
𝝎𝒆
𝝎𝒆
𝑽𝒔
𝑰𝒔
ᵟ
𝝀𝒎
𝛼-axis
(stator frame)
d-axis
(rotor frame)
𝜽𝒓
𝑏-axis
q-axis
𝑐-axis
𝒊𝒒
𝒊𝒅
𝜔𝑚
PMSG
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
SVPWM
Pitch
controller
;
𝛽
abc
dq
dqo
𝜃𝑟
𝐼𝑎𝑟
𝐼𝑑
𝐼𝑏𝑟
abc
PI
+
𝜔(𝐿𝑑𝑖𝑞 + 𝜙)
PI
PI
-
+
+
𝐼∗
𝑞
𝐼𝑞
-
𝜔𝑚
−𝜔𝐿𝑞𝑖𝑞
+
-
𝑰∗
𝒅 = 𝟎
+
𝜔∗
𝑚
𝑖𝑑 𝑖𝑞
𝐼𝑐𝑟
𝑃𝑚
𝐼𝑑𝑒
PI
+
𝝎𝑳𝒔𝑰𝒅𝒆 + 𝝎𝝀𝒇
PI
PI
-
+
+
𝐼∗
𝑞𝑒
𝐼𝑞𝑒
-
𝜔𝑚
−𝝎𝑳𝒔𝑰𝒅𝒆
+
-
𝑰∗
𝒅𝒆 = 𝟎
+
𝜔∗
𝑚
GSC
Filter
𝑃𝑔𝑟𝑖𝑑
𝑉𝑑𝑐
PWM
𝜶𝜷
dq
𝜽
abc
dq
abc
+ -
PI
𝑉𝑑𝑐
𝑉𝑑𝑐_𝑟𝑒𝑓
𝑖𝑑
𝑖𝑞
𝑖𝑎 𝑖𝑏 𝑖𝑐 𝑉
𝑎 𝑉
𝑐 𝑉𝑏
𝝎. 𝑳
+
+
-
𝑉𝑑𝑐
+
+ 𝝎. 𝑳
PI PI
+
+
-
-
𝑖𝑞
𝑖𝑞_𝑟𝑒𝑓 = 0
𝑖𝑑_𝑟𝑒𝑓 𝑖𝑑
𝜶𝜷
Comparator
𝑉𝑑𝑐
-
𝑉𝑑𝑐
𝑉𝑑𝑐_𝑟𝑒𝑓
=
=
PI +
D
+
+
𝚫D
𝑪𝒐𝒊𝒍
𝒁𝒊𝒈𝒛𝒂𝒈 𝒘𝒂𝒗
+
GSC
Lg
𝑉𝑑𝑐
PWM PLL
𝑖𝑎𝑏𝑐𝑔 𝑉𝑎𝑏𝑐𝑔
𝐺𝑟𝑖𝑑
abc
abc
dq dq
𝑖𝑑𝑔
𝑖𝑞𝑔
𝑉𝑑𝑔
𝑉
𝑞𝑔
𝑉𝑑𝑐
𝑉𝑑𝑐∗
∆𝑉𝑑
𝑉𝑎∗
𝑉𝑏∗ 𝑉𝑐∗
+-
++
PI
PI PI
-
+
+
∆𝑉
𝑞
𝑖𝑞𝑔∗
−
3
2
/
Ɵ
𝑄𝑔∗
DC-link
capacitor
IGBT 1 Diode 1
Diode 2 IGBT 2
SMES
𝑰𝑺𝑴𝑬𝑺
SMES Charge
Mode
SMES Standby
Mode
SMES Discharge
Mode
Initialize Objective
function
Apply SMES
constraints
Evaluate objective
function
Converged?
Select new
candidate SMES
size
Select SMES size
YES
No
+
+ +
+
Input Output
Hidden
1
2
b
W W
b
Output
𝒚𝟏
𝑺𝒐𝒑𝒕
𝑫𝑪
𝑫𝑪
𝑪𝒐𝒏𝒗𝒆𝒓𝒕𝒆𝒓
𝑶𝒖𝒕𝒑𝒖𝒕
𝒍𝒂𝒚𝒆𝒓
𝑪𝟏
𝑪𝟐
𝑪𝒋
𝑥1
𝑥2
𝒉𝟏
𝒉𝒋
𝑽𝒅𝒄
∗
𝑽𝒅𝒄
𝒉𝟐
𝒉𝟏
𝒉𝒋
𝒉𝟐
𝑯𝒊𝒅𝒅𝒆𝒏
𝒍𝒂𝒚𝒆𝒓
𝑰𝒏𝒑𝒖𝒕
𝒍𝒂𝒚𝒆𝒓
𝒘𝟏,𝟏
𝒘𝟐,𝒉
Start Preparation of
dataset
Training dataset
(80%)
Testing dataset
(20%)
Development of
accurate models
Selection of best
fitted model
Number of neurons
Number of hidden layer
Number of epoch
Activation function
Training Algorithm
Validation of the
selected model
End
Mean absolute error (MAE)
Root mean square error (RMSE)
Correlation coefficient (R)
Coefficient of determination (𝑅2
)
Implementation of
Artificial neural
network (ANN)
Splitting the dataset
No
Yes
Start
Define input & output pairs
Control the DC/DC inverter
using the trained ANN
Dataset extraction from
simulation
Define Number of hidden
layers
Adjust number of
hidden layers
Chose training method
(Levenberg Marquardt
technique)
Validation of the
selected model
End
Dataset distribution
Training= 60%
Testing=20%
Validation=20%
FALSE
TRUE
Check MSE
&
Confusion Matrix
FALSE
TRUE
Comparator
-
𝑽𝒅𝒄
𝑽𝒅𝒄_𝒓𝒆𝒇
P.I +
D
+
+
𝚫D
𝑺𝟏
PWM
𝑺𝟐
𝑰𝑺𝑴𝑬𝑺
𝑰𝒍𝒊𝒎
+
-
𝑴𝒂𝒈𝒏𝒆𝒕 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒍𝒊𝒎𝒊𝒕𝒊𝒏𝒈
𝑫𝑺
𝒁𝒊𝒈𝒛𝒂𝒈 𝒘𝒂𝒗e
Start
Define input & output pairs
Control the DC/DC inverter
using the trained ANN
Dataset extraction from
simulation
Define Number of hidden
layers
Adjust number of
hidden layers
Chose training method
(Levenberg Marquardt
technique)
Validation of the
selected model
End
Dataset distribution
Training= 60%
Testing=20%
Validation=20%
FALSE
TRUE
Check MSE
&
Confusion Matrix
FALSE
TRUE
Anode Cathode
Separator
Electrolyte
Solid
+
Li
Li
+
+
V(t)
I(t)
I(t)
𝑪𝑺
−
(𝒓, 𝒕)
----Single particle model----
𝒓
𝑪𝑺
+
(𝒓, 𝒕)
𝑹𝑺
−
𝑹𝑺
+
𝒓
Li
ANN
Controller-1
B
𝟏
𝟏 + 𝒔𝑻𝑯
𝟏
𝑹𝟏
𝑺𝑳𝑷𝑨
𝟐𝝅𝑻𝑨𝑩
𝑺
Ʃ
-
-
+
Ʃ
𝑨𝑪𝑬𝑨
𝑨𝑹𝑬𝑨𝑨
Ʃ Ʃ
𝟏
𝟏 + 𝒔𝑻𝑻
𝟏 + 𝒔𝑲𝒓𝑻𝒓
𝟏 + 𝒔𝑻𝒓
𝑲𝑷
𝟏 + 𝒔𝑻𝑷
Reheat steam turbine
Hydraulic
Amplifier
ANN
Controller-2
B
𝟏
𝟏 + 𝒔𝑻𝑯
𝟏
𝑹𝟏
𝑺𝑳𝑷𝑩
-
Ʃ
𝑨𝑪𝑬𝑩
𝑨𝑹𝑬𝑨𝑩
Ʃ Ʃ
𝟏
𝟏 + 𝒔𝑻𝑻
𝟏 + 𝒔𝑲𝒓𝑻𝒓
𝟏 + 𝒔𝑻𝒓
𝑲𝑷𝑺
𝟏 + 𝒔𝑻𝑷𝑺
𝑪𝑺𝑩
𝑪𝑺𝑨
-
+
+
-
Reheat steam turbine
governor Control area-2
∆𝑷𝑻𝒊𝒆
∆𝑭𝑨
∆𝑭𝑩
+
-
-
-
-
+
+
Control area-1
Great Britain
1
0.9
0.75
0.45
0.3
0.2
0 0.15 0.625 1 1.5 3
Egypt
Denmark
Germany
China
Italy
Japan
Spain
U.S.A
Time (s)
Voltage
(p.u)
Area B
Area A
Area C
Percentage
0.01 0.1 1 1000
Time period (seconds)
35.0%
30.0%
25.0%
20.0%
15.0%
10.0%
5.0%
0.0%
10 100
Transmission and HV distribution systems LV distribution systems
Percentage Overvoltage
Must Stay Connected
Disconnection Permitted
𝑃
𝑔𝑒𝑛 𝑃𝑔𝑟𝑖𝑑
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃𝑚
𝑃𝑠
GSC Filter Grid
𝑃
𝑔 ,𝑄𝑔
Wind
Speed
PMA
Wind
Speed
𝜔𝑚
SCIG
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
𝑃𝑠
GSC Filter Grid
𝑃𝑔𝑟𝑖𝑑
𝑃
𝑔 ,𝑄𝑔
Gear
Box
Wind
Speed
𝜔𝑚
DFIG
RSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
GSC Filter
Grid
𝑃𝑔𝑟𝑖𝑑
𝑃
𝑔 ,𝑄𝑔
Gear
Box
Filter
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
𝑃𝑠
Wind
Speed
IGBT 𝑅𝑐𝑟𝑜𝑤𝑏𝑎𝑟
PMA
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
𝑃𝑠
Wind
Speed
IGBT
𝑅
𝑏𝑐
Switch
𝑃𝑏𝑐
𝑃
𝑔
𝑃𝑔𝑟𝑖𝑑
+
- 𝑹𝒃𝒄
𝑽𝒅𝒄𝟐
𝑷𝒃𝒄
Control
Signal
𝐷
PMA
𝑃
𝑔𝑒𝑛 𝑃𝑔𝑟𝑖𝑑
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃𝑚
𝑃𝑠
GSC
Wind
Speed
AC
PCC
𝐂
Statcom
AC
DC
PMA
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃𝑚
𝑃𝑠
GSC
ESS
Filter Grid
𝑃𝑔𝑟𝑖𝑑
Grid
fault.
𝑃
𝑔 ,𝑄𝑔
Wind
Speed
DC
Chopper
PMA
𝑃
𝑔𝑒𝑛 𝑃𝑔𝑟𝑖𝑑
𝜔𝑚
MSC
𝑉𝑑𝑐
𝑃𝑚
𝑃𝑠
GSC
Wind
Speed
AC
PCC
AC
DC
MSBFCL
𝑃
𝑔 ,𝑄𝑔
PMA
𝑃
𝑔𝑒𝑛
𝜔𝑚
MSC
𝑉𝑑𝑐
PWM
Pitch
controller
;
𝛽
abc
dq
dqo
𝜃𝑟
𝐼𝑎𝑟
𝐼𝑑𝑒
𝐼𝑏𝑟
abc
PI
+
𝜔𝐿𝑠𝐼𝑑𝑒 + 𝜔𝜆𝑓
PI
PI
-
+
+
𝐼∗
𝑞𝑒
𝐼𝑞𝑒
-
𝜔𝑚
−𝜔𝐿𝑠𝐼𝑑𝑒
+
-
𝐼∗
𝑑𝑒 = 0
+
𝜔∗
𝑚
𝑖𝑑 𝑖𝑞
𝐼𝑐𝑟
𝑃𝑚
PMA
Time (s)
1.0
0.9
0.75
0.45
0.3
0.2
0 0.625 1.3 …. 5.0 6.0
Voltage
(p.u)
1.1
1.2
1.3
…. 10.0
Normal Operation State No Tripping
HVRT
LVRT
Past
K K+1 K+2 K+p
Future
Prediction Horizon
Sample Time
Reference Trajectory
Predicted Output
Predicted Output
Predicted Control Input
Past control Input
Optimizer
+
-
Process
Set point Output
Cost
Function
Constraints
Future
Error
Model
Future
Input
Predicted Output
Minimization
of the cost
function
s
X(k+1)
n
x(k)
Measurements
DC-DC Chopper
SMES
Predictive
Model
Dc
Dc
X(k)
X∗
(k)
𝑫𝟏
𝑫𝟐
𝑺𝟏
𝑺𝟐
Cost Function
g1
𝑽𝒅𝒄
∗
𝑽𝒅𝒄
Eq.(30)
Eq. (30)
Eq. (30)
𝑺𝟐
𝑺𝟏
𝑰𝒅𝒄(k+1)
𝑷𝑺𝑴𝑬𝑺
∗
(k+1)
𝒊𝒔(k+1)
𝑰𝒔𝒄(k+1)
𝒊𝒍
𝑳𝒔
SMES
Coil
𝒊𝒔
𝒊𝒄
MSC
𝑃
𝑔𝑒𝑛
GSC
𝑃𝑔𝑟𝑖𝑑
Switching Signal
𝑫𝟐
𝑫𝟏
𝑮𝟏
𝑮𝟐
𝒊𝒍
𝑳𝒔
SMES
Coil
Minimize Cost Function
g1
𝑽𝒅𝒄
𝑖𝑙 𝑘 , 𝑖𝑆 𝑘 , 𝑖𝑔 𝑘 , 𝑉𝑑𝑐*
𝒊𝒔 𝒊𝒄
𝑽𝒅𝒄
∗
Predict capacitor
voltage
𝑉
𝑑𝑐
𝑝
(k+1)
𝒊𝒈
𝑫𝟏
𝑫𝟐
𝑺𝟏
𝑺𝟐
Cost Function
g1
𝑽𝒅𝒄
∗
𝑽𝒅𝒄
Eq.(30)
Eq. (30)
Eq. (30)
𝑺𝟐
𝑺𝟏
𝑰𝒅𝒄(k+1)
𝑷𝑺𝑴𝑬𝑺
∗
(k+1)
𝑰𝒔𝒄(k+1)
𝒊𝒍
𝑳𝒔
SMES
Coil
𝒊𝒔
𝒊𝒄
𝑉𝑑𝑐
∗
1
1 + 𝑠𝑇𝑐
1
𝑠𝐿
+
+
∏
𝐼𝑆𝐶
Δ𝐼𝑠𝑐
Δ𝐸𝑠𝑐 Δ𝑃𝑆𝑀𝐸𝑆
𝐾𝑀𝑃𝐶
1 + 𝑠𝑇𝑑
+
−
𝑉𝑑𝑐_𝑚
Past
K K+1 K+2 K+p
Future
Prediction Horizon
Reference Trajectory
Predicted Output
Measured Output
Predicted Control Input
Past control Input
Sample Time
Yes
No
Measure
𝑉𝑑𝑐(𝑘 + 1)
x=0
x=x+1
g=𝑉
𝑠
∗
− 𝑉
𝑐
𝑝
(k+1)
𝑊𝑎𝑖𝑡 𝑓𝑜𝑟 𝑛𝑒𝑥𝑡
𝑠𝑎𝑚𝑝𝑙𝑖𝑛𝑔 𝑖𝑛𝑠𝑡𝑎𝑛𝑡
Start-up
x < 𝑁2
Store optimal
values
Apply optimal
Switch state s(k+1)
is
p
k + 1 = G1iL
p
k + 1
𝑉
𝑐
𝑝
𝑘 + 1 =
𝑇𝑠
2
𝐿1𝑐1
𝑠 𝑘 ∗ 𝑉
𝑠 − 𝑉
𝑐
𝑝
(𝐾) + 2𝑉
𝑐
𝑝
𝐾 − 𝑉
𝑐 𝑘 − 1
Yes
No
Measure
𝑖𝑙 𝑘 , 𝑖𝑆 𝑘 , 𝑖𝑔 𝑘 , 𝑉𝑑𝑐(𝑘)
x=0
x=x+1
Evaluate 𝑔1
𝑊𝑎𝑖𝑡 𝑓𝑜𝑟 𝑛𝑒𝑥𝑡
𝑠𝑎𝑚𝑝𝑙𝑖𝑛𝑔 𝑖𝑛𝑠𝑡𝑎𝑛𝑡
Start-up
x < 𝑁2
Store optimal
values
Compute 𝑖𝑙
𝑝
𝑘 + 1
𝑃𝑟𝑒𝑑𝑖𝑐𝑡 𝑉
𝑑𝑐
𝑝
𝑘 + 1
S_opt
DC-link
capacitor
IGBT 1 Diode 1
Diode 2 IGBT 2
SMES
𝑰𝑺𝑴𝑬𝑺
SMES Charge
Mode
SMES Standby
Mode
SMES Discharge
Mode
𝜔𝑚
PMA
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
𝑃
𝑚
𝑃𝑠
GSC
DC
Chopp
er
SM
ES
Filter Grid
𝑃𝑔𝑟𝑖𝑑
Grid
fault.
𝑃
𝑔 ,𝑄𝑔
Wind
Speed
𝑖𝑔𝑑
PWM
PI(2)
PI(4)
FRT
Mode
Detection
PI(3)
𝑖𝑔𝑞𝑟𝑒𝑓 = 𝑘 × 𝐼𝑁 × (𝑉𝑁 − 𝑉)
-
𝑉𝑑𝑐𝑟𝑒𝑓 MA
X
𝑖𝑔𝑑𝑟𝑒𝑓 ≤ 𝐼𝑚𝑎𝑥
2 − 𝐼𝑔𝑞𝑟𝑒𝑓
2
PI(1)
𝑉𝑑
𝑄𝑟𝑒𝑓
Q
𝑖𝑔𝑞𝑟𝑒𝑓
𝑖𝑔𝑑𝑟𝑒𝑓
𝑖𝑔𝑞
ω𝑔 𝐿𝑔𝐼𝑔𝑞+ 𝑢𝑔𝑑
−ω𝑔 𝐿𝑔𝐼𝑔𝑞+ 𝑢𝑔𝑑
𝑢𝑒𝑑
𝑢𝑒𝑞
𝜔𝑚
PMA
𝑃𝑚
𝑖𝑑𝑠
Wind
Speed
MSC
𝑉𝑑𝑐
𝑃
𝑔𝑒𝑛
PWM
𝜔𝑚(measured)
𝜃𝑟
𝜃𝑟 𝑖𝑏𝑠 𝑖𝑐𝑠
𝑖𝑎𝑠
abc/dq
𝑖𝑞𝑠
𝑉𝑊
𝜃𝑟
Wind speed
sensor
Optimal tip
speed ratio
control
𝑉
𝛼𝑠* 𝑉𝛽𝑠*
𝑉
𝑎𝑠*
abc/ 𝛼𝛽
dq/ abc
PI(1)
PI(3)
PI(2)
𝜔𝑚*
𝑉
𝑞𝑠* 𝑉𝑑𝑠*
𝑉𝑏𝑠* 𝑉
𝑐𝑠*
− 𝑖𝑞𝑠 − 𝑖𝑑𝑠
𝑖𝑞𝑠*
𝑖𝑑𝑠*=0
+
-
+
+
𝑺𝟐
Comparator
P.I -
𝑽𝒅𝒄
𝑽𝒅𝒄_𝒓𝒆𝒇
+
D
+
+
𝚫D
𝑺𝟏
PWM
𝑰𝑺𝑴𝑬𝑺
𝑰𝒍𝒊𝒎
+
-
𝑴𝒂𝒈𝒏𝒆𝒕 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒍𝒊𝒎𝒊𝒕𝒊𝒏𝒈
𝑫𝑺
𝒁𝒊𝒈𝒛𝒂𝒈 𝒘𝒂𝒗e
𝑺𝟐
Comparator
P.I
-
𝑽𝒅𝒄
𝑽𝒅𝒄_𝒓𝒆𝒇
+
D
+
+
𝚫D
𝑺𝟏
𝑰𝑺𝑴𝑬𝑺
𝑰𝒍𝒊𝒎
+
-
𝑴𝒂𝒈𝒏𝒆𝒕 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒍𝒊𝒎𝒊𝒕𝒊𝒏𝒈
𝑫𝑺
𝒁𝒊𝒈𝒛𝒂𝒈 𝒘𝒂𝒗e
1
0.9
0.75
0.45
0.3
0.2
0.5 0.4 0.3 0 0.3 0.5
E.ON
Q/𝑃𝑛
0.1 0.4
0.1
0.2 0.2
P/𝑃
𝑛
Inductive Capacitive
1
0.2
0.41 0 0.48
E.ON
Q/𝑃𝑛 (p.u)
0.1
0.1
P/𝑃
𝑛
(p.u)
Inductive Capacitive
0
MSC
𝑃
𝑔𝑒𝑛
GSC
𝑃𝑔𝑟𝑖𝑑
𝑫𝟐
𝑫𝟏
𝑮𝟏
𝑮𝟐
𝒊𝒍
𝑳𝒔
SMES
Coil
𝑽𝒅𝒄
Comparator
P.I
𝑽𝒅𝒄
∗ -
+
D
+
+
𝚫D
𝑺𝟏
PWM
𝑺𝟐
𝑰𝑺𝑴𝑬𝑺
𝑰𝒍𝒊𝒎
+
-
𝑴𝒂𝒈𝒏𝒆𝒕 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒍𝒊𝒎𝒊𝒕𝒊𝒏𝒈
𝑫𝑺
+
+ PWM
𝑺𝟐
Comparator
P.I - 𝑽𝒅𝒄
𝑽𝒅𝒄_𝒓𝒆𝒇
+
D
++
𝚫D
𝑺𝟏
𝑰𝑺𝑴𝑬𝑺
𝑰𝒍𝒊𝒎
+
-
𝑴𝒂𝒈𝒏𝒆𝒕 𝒄𝒖𝒓𝒓𝒆𝒏𝒕 𝒍𝒊𝒎𝒊𝒕𝒊𝒏𝒈
𝑫𝑺
𝒁𝒊𝒈𝒛𝒂𝒈 𝒘𝒂𝒗e

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