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International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
66|Pagewww.ijaems.com
Artificial Neural Network Controller for
Reducing the Total Harmonic Distortion (THD)
in HVDC
Dr. Ali Nathem Hamoodi, Rasha Abdul-nafaa Mohammed
1
Lect., Dept. of Technical Power Eng., Technical College-Mosul
2
Asist. Lect., Dept. of Technical Power Eng, Technical College-Mosul
Abstract— A neural network based space vector
modulation (SVM) of voltage source inverter is proposed.
The voltage source converter (VSC) is highly used in high
voltage direct current (HVDC) transmission so that a
detailed analysis and transmission of this system is
carried out. In addition, a non-linear neural network
controller is proposed to control the space vector pulse
width modulation (SVPWM) to reduce the total harmonic
distortion (THD) of the converter (inverter) output
voltage. The inverter outputcurrent is analyzed with two
switching frequency 1050Hz and1450Hz with and without
proposed ANN controller. The results show a THD
enhancement about 0.74 % for 1050Hz and 0.68 % for
1450Hz.
Keywords— HVDC, VSC, THD , SVPWM, ANN.
I. INTRODUCTION
An electronic converter is required to convert DC to AC
energy . VSC is used to interconnect generation system
with AC network. Now VSCis one of the best converter
because it has modern power semiconductor advantages
as Turn-off (GTO) and (IGBT) [1-2].
The flow control of active and reactive power flow is
become more flexible today because of VSC-
HVDCtechnology [3-6].
The basic VSC model is shown in figure.(1).
Fig.1: Model of six-pulse VSC-HVDC system.
This paper describes neural network controller based on
SVPWM implementation of a 12-pulse voltage-fed
inverter. In the beginning, (SVPWM) for a 12-pulse
inverter is reviewed briefly. The general expressions of
time segments of inverter voltage vector for all the
regions have been derived.
A basic 12-pulse VSC-HVDC system is comprised of two
6-pulse IGBT converter station built with VSC topologies
as shown in figure.(2)
Fig.2: Series connection on DC sides
(SVPWM) has modern technology for voltage fed
converter. It consider more improved as compared with
PWM [7] .
II. SVPWM TECHNIQUE.
SVPWM considered as best method for digital
implementations where, switching frequency(2/3) [9,10].
The 6-switch three-phase voltage source inverter is shown
in figure.3
Fig.3: Six-switch three-phase voltage source inverter.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
67|Pagewww.ijaems.com
III. SWITCHING SEQUENCES.
In3Ф inverter, the outputted voltage vectors with six
sectors as illustrated in figure.4. [11].
Fig.4: Basic switching vectors and sectors.
Where,
(2TZ): sampling time.
V*
:command vector.
Α: angle in each sector.
The eight switching sequences is shown in
figure.5.
Fig.5: Switching sequences.
The eight combination, voltage vectors, switching
sequences, phase voltages and output line to line voltages
is shown in Table.1.
Table.1: Voltage vectors, switching sequences, phase
voltages and line-to-line voltages.
IV. REALIZATION OF SVPWM.
In order to realize the SVPWM , three steps must be
investigated .
a-Determining the voltages.
b-Determining time durations.
c-Determining the switching time.
a-Determining the voltages.
The voltages in a, b, c, frame is transformed to space
vector voltage in d-q frame shown in figure.6
Fig. 6: Space vectorin (d,q) frame.
Vd and Vq can be represented as:
.*
.
.
,
2
)3.....(........................................).........(tan
)2........(........................................*
)1...(..........
2
3
2
3
0
2
1
2
1
1
3
2
1
22
ref
d
d
ss
d
q
qd
cn
bn
an
q
d
VofvectortheV
componentverticalV
componenthorizantalV
angleVector
frequencyswitchingfs
where
tft
V
V
VVV
V
V
V
V
V











































b- Determining time duration.
The terns router combination is depicted in figure.7.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
68|Pagewww.ijaems.com
Fig.7: Reference vector combination.
The switching time duration atany sector is determine by
the following equations:[12].
)6........(..........
600
61,(
61,(
),(
)5.....(..........................................................................................
3
1
.
3
1
.
*..3
3
1*.3
)4.........(..........
33
*.3
3
*..3
3
1
3
*..3
210
2
1
























 














 


























 








toSectoristhat
throughnwhere
TTTT
n
CosSin
n
SinCos
Vdc
VT
n
Sin
Vdc
VT
T
Sin
n
CosCos
n
Sin
Vdc
VT
n
Sin
Vdc
VT
n
Sin
Vdc
VT
T
z
z
z
z
z
z
Where,
T1, T2and T0 : is the time duration for each sector.
Tz:is the sampling time ( inverse of the switching
frequency (fs)).
c-Determining the switching timeof each transistor (S1 to
S6). The switching times of the upper and lower
transistors for each sector is shown in figure.8
Fig. 8: PWM patterns at each sector.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
69|Pagewww.ijaems.com
V. SIMULATION WITHOUT ANN IMPLICATION VSI-HVDC BASED SVPWM.
Figure.9 presents Matlab/Simulinkmodel of a 12-pluse VSI-HVDC based on SVPWM.
Fig.9: MATLAB/SIMULINK model of a VSI-HVDC on SVPWM.
The THD ratio of the line current for switching
frequencies1050Hz and 1450Hz is shown in figure. 10.
Fig.10: THD ratio of line current in time domain.
(a) at switching frequency (1050Hz).
(b) at switching frequency (1450Hz).
The THD ratio of the line to line voltage at 1050Hz and
1450Hz switching frequency is shown in figure.11.
Fig.11: THD ratio of line to line voltage in time domain.
(a) at switching frequency (1050Hz).
(b) at switching frequency (1450Hz).
The THD ratio of theline current and line-line voltage
shown in Table.2 are obtained directly by computer from
figures 10 & 11.
Table.2: THD values for line current and line to line
voltage
Switching
frequency(Hz)
Line current
THD value(%)
Line-line Voltage
THD value(%)
1050 17% 2.088%
1450 8.625% 1.323%
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
70|Pagewww.ijaems.com
VI. TRAINING METHOD
In this paper, back propagation Levenberg- marquard
(LM) algorithm is used for training converter because this
method has many advantages and gives high response
.Leverberg-marquard (LM) algorithm is used.
.
VII. ANN-BASED SVPW IMPLICATION.
A feed forward ANN mapping and its timing calculation,
the turn-on time T-ON given as:[13].
where,
D =√3×Vref/ Vdc.
Turn-off time is depicted as:
)8(........................................2 onAzOFF TTT  
In general, from equation (12) can be written as:
)9....(..........).........(*).(
2
gVf
T
T z
ON 
where ,
f(V*) is the voltage amplitude scale factor.
And
g(α): T-on pulse width.
In the under modulation region, f(V*)= V* as depicted in
figure. 12.
Fig.12: f(V*)-V* relation in under modulation region
The pulse generated by ANN for sector one ,V* = 360KV
and θ=40° as taken from the inverter side, is shown in
figure.13.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
71|Pagewww.ijaems.com
Fig.13: PWM using ANN.
(a) at switching frequency (1050Hz).
(b) At switching frequency (1450Hz).
VIII. SUGGESTED TOPOLOGY OF ANN BASED
CONTROLLER
The ANN suggested topology has two inputs (two
neurons) in the input layer, one hidden layer (N- neurons)
and three outputs (three neurons) in the output layer. The
input layer simply acts as a fan-out input to the hidden
layer where two neurons are used and the output layer has
three neurons with a sigmoidal activation function and
(N) inputs (N1 from the hidden layer and one constant
bias).
The input layer of the proposed ANN controller shown in
figure (14) has two input variables, the first is the
Vrefvector *V and the second vector angle α .While,
the output layer has two variables concerned with the on
and off durations of the switching pulses. The error which
represented by the target minus the actual the delta rule
[9].
Fig. 14: ANN topology for PWM pulswe generating using
SVPWM.
The THD ratio of line current and line to line voltage by
using NN based SVPWM is shown in table .3.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
72|Pagewww.ijaems.com
Table.3: THD ratio of line current and line to line voltage
by NN based SVPWM.
Switching
frequency(Hz)
Line current
THD value(%)
Line -line Voltage THD
value(%)
1050 4.308 % 0.4535 %
1450 2.744 % 0.4535 %
Figure. 15 represents the circuit diagram of VSI-HVDC
using ANN based SVPWM.
Fig.15: Block diagram represents SVPWM based on ANN
with Inverter bridge.
The THD ratio of the line current for switching
frequencies1050Hz and 1450Hz after applying NN is
shown in figure. 16.
Fig.16: THD ratio of line current in time domain after
applying NN based SVPWM.
(a) at switching frequency (1050Hz).
(b) at switching frequency (1450Hz).
The THD ratio of the line to line voltage for 1050Hz and
1450Hz switching frequencies after applying NN is
shown in figure. 17.
Fig.17: THD ratio of line to line voltage in time domain
after applying NN based SVPWM.
(a) at switching frequency (1050Hz).
(b) at switching frequency (1450Hz).
IX. CONCLUSION
When using the NN controller based SVPWM the THD
value of line current and line to line voltage is improved
as a percentage ratio by 74.65% and 78.28% respectively
as compared with SVPWM at switching frequency
1050Hz, and these value are improved as a percentage
ratio by 68.1% and 65.72% respectively as compared with
SVPWM and switching frequency 1450Hz.
At switching frequency 1450Hz the THD ratio is reduced
as compared with the switching frequency 1050Hz but the
filter losses are increased.
REFERENCES
[1] Vijay, K. Sood "HVDC and FACTS Controllers"
Kluwer power electronics and power editions series,
2004.
[2] Michael, P., Johnson, B., and B " the ABC of HVDC
Transmission Technologies" , power and energy
magazine, 5, March/Aplil 2007.
[3] Padiyar, K.R., Prabhu, N., " Modeling Control
Design and Analysis of VSC Based HVDC
Transmission" Paper published in POWERCOM
2004, 21-24 November, Singapore.
[4] Guangkai, Li., et al " Research on Dynamic
Characteristics of VSC-HVDC System " power
Engineering Society General Meeting , IEEE, 2006.
[5] Song, R., et al. " VSCs Based HVDC and its Control
Strategy" Electric Power Research Institute, Beijing,
China, IEEE/PES Transmission and Distribution
Conference 2005.
[6] Vironis, T. D., et al " Optimal Integration Fan
Offshore Wind Farm to a Weak AC Grid" IEEE
Transactions on Power delivery , 21,2, April 2006.
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018]
1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11
73|Pagewww.ijaems.com
[7] Subrata, K.,Joao,O.P.,Bimal, K.,"A Neural-
Network-Based Space-Vector PWM Controller for a
Three-Level Voltage-Fed Inverter Induction Motor
Drive" IEEE Transactions on Industry Applications,
38,3,PP:660-669, 2002.
[8] Vassilios, G.,A., Georgios, D., D., Nikolas, F., "
Recent Advances in High-Voltage Direct-Current
Power Transmission Systems",
[9] Van, H. W., Skudelny, H.C., Stank, G., " Analysis
and Realization of a Pulse Width Modulator Based
on Voltage Space Vectors" IEEE Transactions
Industry Applications Application, 24, 1,pp:1530-
1535, 1998.
[10]Bakhshai,A., Joos, G., Esinoza, J., "Fst Space Vector
Moulation Based on a Neurocomuting Digital Signal
Processor", in Proc. APEC'97,pp: 872-878, 1997.
[11]Amitava D., Debasish L and Barnali K" Space
Vector PWM Based AC Output Voltage Contrrol of
Z- Source Inverter" IEEE Transactions on Industry
Applications, January 2, 2010.
[12]"Pulse-WidthModulation(PWM)Technique"www2.e
ce.ohio-state.edu/ems/PowerConverter/lect25.ppt
[13]Abdul Hamid B. and PramodA."An Artificial-
Neural – Network- Based Space Vector PWM of a
Three-Phase High Power Factor Converter for
Power Quality Improvement" IEEE Transactions on
Industry Applications, January 2, 2010.
[14]L. Fausett, "Fundamental of Neural Networks,
Architectures, Algorithms and applications", Printice
Hall Int. Snc., 1994.

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Artificial Neural Network Controller for Reducing the Total Harmonic Distortion (THD) in HVDC

  • 1. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 66|Pagewww.ijaems.com Artificial Neural Network Controller for Reducing the Total Harmonic Distortion (THD) in HVDC Dr. Ali Nathem Hamoodi, Rasha Abdul-nafaa Mohammed 1 Lect., Dept. of Technical Power Eng., Technical College-Mosul 2 Asist. Lect., Dept. of Technical Power Eng, Technical College-Mosul Abstract— A neural network based space vector modulation (SVM) of voltage source inverter is proposed. The voltage source converter (VSC) is highly used in high voltage direct current (HVDC) transmission so that a detailed analysis and transmission of this system is carried out. In addition, a non-linear neural network controller is proposed to control the space vector pulse width modulation (SVPWM) to reduce the total harmonic distortion (THD) of the converter (inverter) output voltage. The inverter outputcurrent is analyzed with two switching frequency 1050Hz and1450Hz with and without proposed ANN controller. The results show a THD enhancement about 0.74 % for 1050Hz and 0.68 % for 1450Hz. Keywords— HVDC, VSC, THD , SVPWM, ANN. I. INTRODUCTION An electronic converter is required to convert DC to AC energy . VSC is used to interconnect generation system with AC network. Now VSCis one of the best converter because it has modern power semiconductor advantages as Turn-off (GTO) and (IGBT) [1-2]. The flow control of active and reactive power flow is become more flexible today because of VSC- HVDCtechnology [3-6]. The basic VSC model is shown in figure.(1). Fig.1: Model of six-pulse VSC-HVDC system. This paper describes neural network controller based on SVPWM implementation of a 12-pulse voltage-fed inverter. In the beginning, (SVPWM) for a 12-pulse inverter is reviewed briefly. The general expressions of time segments of inverter voltage vector for all the regions have been derived. A basic 12-pulse VSC-HVDC system is comprised of two 6-pulse IGBT converter station built with VSC topologies as shown in figure.(2) Fig.2: Series connection on DC sides (SVPWM) has modern technology for voltage fed converter. It consider more improved as compared with PWM [7] . II. SVPWM TECHNIQUE. SVPWM considered as best method for digital implementations where, switching frequency(2/3) [9,10]. The 6-switch three-phase voltage source inverter is shown in figure.3 Fig.3: Six-switch three-phase voltage source inverter.
  • 2. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 67|Pagewww.ijaems.com III. SWITCHING SEQUENCES. In3Ф inverter, the outputted voltage vectors with six sectors as illustrated in figure.4. [11]. Fig.4: Basic switching vectors and sectors. Where, (2TZ): sampling time. V* :command vector. Α: angle in each sector. The eight switching sequences is shown in figure.5. Fig.5: Switching sequences. The eight combination, voltage vectors, switching sequences, phase voltages and output line to line voltages is shown in Table.1. Table.1: Voltage vectors, switching sequences, phase voltages and line-to-line voltages. IV. REALIZATION OF SVPWM. In order to realize the SVPWM , three steps must be investigated . a-Determining the voltages. b-Determining time durations. c-Determining the switching time. a-Determining the voltages. The voltages in a, b, c, frame is transformed to space vector voltage in d-q frame shown in figure.6 Fig. 6: Space vectorin (d,q) frame. Vd and Vq can be represented as: .* . . , 2 )3.....(........................................).........(tan )2........(........................................* )1...(.......... 2 3 2 3 0 2 1 2 1 1 3 2 1 22 ref d d ss d q qd cn bn an q d VofvectortheV componentverticalV componenthorizantalV angleVector frequencyswitchingfs where tft V V VVV V V V V V                                            b- Determining time duration. The terns router combination is depicted in figure.7.
  • 3. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 68|Pagewww.ijaems.com Fig.7: Reference vector combination. The switching time duration atany sector is determine by the following equations:[12]. )6........(.......... 600 61,( 61,( ),( )5.....(.......................................................................................... 3 1 . 3 1 . *..3 3 1*.3 )4.........(.......... 33 *.3 3 *..3 3 1 3 *..3 210 2 1                                                                               toSectoristhat throughnwhere TTTT n CosSin n SinCos Vdc VT n Sin Vdc VT T Sin n CosCos n Sin Vdc VT n Sin Vdc VT n Sin Vdc VT T z z z z z z Where, T1, T2and T0 : is the time duration for each sector. Tz:is the sampling time ( inverse of the switching frequency (fs)). c-Determining the switching timeof each transistor (S1 to S6). The switching times of the upper and lower transistors for each sector is shown in figure.8 Fig. 8: PWM patterns at each sector.
  • 4. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 69|Pagewww.ijaems.com V. SIMULATION WITHOUT ANN IMPLICATION VSI-HVDC BASED SVPWM. Figure.9 presents Matlab/Simulinkmodel of a 12-pluse VSI-HVDC based on SVPWM. Fig.9: MATLAB/SIMULINK model of a VSI-HVDC on SVPWM. The THD ratio of the line current for switching frequencies1050Hz and 1450Hz is shown in figure. 10. Fig.10: THD ratio of line current in time domain. (a) at switching frequency (1050Hz). (b) at switching frequency (1450Hz). The THD ratio of the line to line voltage at 1050Hz and 1450Hz switching frequency is shown in figure.11. Fig.11: THD ratio of line to line voltage in time domain. (a) at switching frequency (1050Hz). (b) at switching frequency (1450Hz). The THD ratio of theline current and line-line voltage shown in Table.2 are obtained directly by computer from figures 10 & 11. Table.2: THD values for line current and line to line voltage Switching frequency(Hz) Line current THD value(%) Line-line Voltage THD value(%) 1050 17% 2.088% 1450 8.625% 1.323%
  • 5. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 70|Pagewww.ijaems.com VI. TRAINING METHOD In this paper, back propagation Levenberg- marquard (LM) algorithm is used for training converter because this method has many advantages and gives high response .Leverberg-marquard (LM) algorithm is used. . VII. ANN-BASED SVPW IMPLICATION. A feed forward ANN mapping and its timing calculation, the turn-on time T-ON given as:[13]. where, D =√3×Vref/ Vdc. Turn-off time is depicted as: )8(........................................2 onAzOFF TTT   In general, from equation (12) can be written as: )9....(..........).........(*).( 2 gVf T T z ON  where , f(V*) is the voltage amplitude scale factor. And g(α): T-on pulse width. In the under modulation region, f(V*)= V* as depicted in figure. 12. Fig.12: f(V*)-V* relation in under modulation region The pulse generated by ANN for sector one ,V* = 360KV and θ=40° as taken from the inverter side, is shown in figure.13.
  • 6. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 71|Pagewww.ijaems.com Fig.13: PWM using ANN. (a) at switching frequency (1050Hz). (b) At switching frequency (1450Hz). VIII. SUGGESTED TOPOLOGY OF ANN BASED CONTROLLER The ANN suggested topology has two inputs (two neurons) in the input layer, one hidden layer (N- neurons) and three outputs (three neurons) in the output layer. The input layer simply acts as a fan-out input to the hidden layer where two neurons are used and the output layer has three neurons with a sigmoidal activation function and (N) inputs (N1 from the hidden layer and one constant bias). The input layer of the proposed ANN controller shown in figure (14) has two input variables, the first is the Vrefvector *V and the second vector angle α .While, the output layer has two variables concerned with the on and off durations of the switching pulses. The error which represented by the target minus the actual the delta rule [9]. Fig. 14: ANN topology for PWM pulswe generating using SVPWM. The THD ratio of line current and line to line voltage by using NN based SVPWM is shown in table .3.
  • 7. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 72|Pagewww.ijaems.com Table.3: THD ratio of line current and line to line voltage by NN based SVPWM. Switching frequency(Hz) Line current THD value(%) Line -line Voltage THD value(%) 1050 4.308 % 0.4535 % 1450 2.744 % 0.4535 % Figure. 15 represents the circuit diagram of VSI-HVDC using ANN based SVPWM. Fig.15: Block diagram represents SVPWM based on ANN with Inverter bridge. The THD ratio of the line current for switching frequencies1050Hz and 1450Hz after applying NN is shown in figure. 16. Fig.16: THD ratio of line current in time domain after applying NN based SVPWM. (a) at switching frequency (1050Hz). (b) at switching frequency (1450Hz). The THD ratio of the line to line voltage for 1050Hz and 1450Hz switching frequencies after applying NN is shown in figure. 17. Fig.17: THD ratio of line to line voltage in time domain after applying NN based SVPWM. (a) at switching frequency (1050Hz). (b) at switching frequency (1450Hz). IX. CONCLUSION When using the NN controller based SVPWM the THD value of line current and line to line voltage is improved as a percentage ratio by 74.65% and 78.28% respectively as compared with SVPWM at switching frequency 1050Hz, and these value are improved as a percentage ratio by 68.1% and 65.72% respectively as compared with SVPWM and switching frequency 1450Hz. At switching frequency 1450Hz the THD ratio is reduced as compared with the switching frequency 1050Hz but the filter losses are increased. REFERENCES [1] Vijay, K. Sood "HVDC and FACTS Controllers" Kluwer power electronics and power editions series, 2004. [2] Michael, P., Johnson, B., and B " the ABC of HVDC Transmission Technologies" , power and energy magazine, 5, March/Aplil 2007. [3] Padiyar, K.R., Prabhu, N., " Modeling Control Design and Analysis of VSC Based HVDC Transmission" Paper published in POWERCOM 2004, 21-24 November, Singapore. [4] Guangkai, Li., et al " Research on Dynamic Characteristics of VSC-HVDC System " power Engineering Society General Meeting , IEEE, 2006. [5] Song, R., et al. " VSCs Based HVDC and its Control Strategy" Electric Power Research Institute, Beijing, China, IEEE/PES Transmission and Distribution Conference 2005. [6] Vironis, T. D., et al " Optimal Integration Fan Offshore Wind Farm to a Weak AC Grid" IEEE Transactions on Power delivery , 21,2, April 2006.
  • 8. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-4, Issue-1, Jan- 2018] 1311-ISSN: 2454https://dx.doi.org/10.22161/ijaems.4.1.11 73|Pagewww.ijaems.com [7] Subrata, K.,Joao,O.P.,Bimal, K.,"A Neural- Network-Based Space-Vector PWM Controller for a Three-Level Voltage-Fed Inverter Induction Motor Drive" IEEE Transactions on Industry Applications, 38,3,PP:660-669, 2002. [8] Vassilios, G.,A., Georgios, D., D., Nikolas, F., " Recent Advances in High-Voltage Direct-Current Power Transmission Systems", [9] Van, H. W., Skudelny, H.C., Stank, G., " Analysis and Realization of a Pulse Width Modulator Based on Voltage Space Vectors" IEEE Transactions Industry Applications Application, 24, 1,pp:1530- 1535, 1998. [10]Bakhshai,A., Joos, G., Esinoza, J., "Fst Space Vector Moulation Based on a Neurocomuting Digital Signal Processor", in Proc. APEC'97,pp: 872-878, 1997. [11]Amitava D., Debasish L and Barnali K" Space Vector PWM Based AC Output Voltage Contrrol of Z- Source Inverter" IEEE Transactions on Industry Applications, January 2, 2010. [12]"Pulse-WidthModulation(PWM)Technique"www2.e ce.ohio-state.edu/ems/PowerConverter/lect25.ppt [13]Abdul Hamid B. and PramodA."An Artificial- Neural – Network- Based Space Vector PWM of a Three-Phase High Power Factor Converter for Power Quality Improvement" IEEE Transactions on Industry Applications, January 2, 2010. [14]L. Fausett, "Fundamental of Neural Networks, Architectures, Algorithms and applications", Printice Hall Int. Snc., 1994.