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ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011



   Design and Analysis of Adaptive Neural Controller
     for Voltage Source Converter for STATCOM
                                        Aman Ganesh1, G.K.Singh2, and Ratna Dahiya3
                         1
                             Department of Electrical and Electronics Engineering, GRIMT Radaur, India
                                     2
                                       Department of Electrical Engineering, IIT Roorkee, India
                                  3
                                    Department of Electrical Engineering, NIT Kurukshetra, India
                                       Email: gksngfee@iitr.ernet.in, ratnadahiya@yahoo.co.in

Abstract—Usually a STATCOM is installed to support power                  function based PWM and correcting optimized
system networks that have a poor power factor and often poor              PWMswitching patterns were implemented to obtain
voltage regulation. It is based on a power electronics voltage-           waveform with minimum harmonic content from VSC. The
source converter. Various PWM techniques make selective                   effect and analysis of switching pattern, modulation index
harmonic elimination possible, which effectively control the
                                                                          variation and load variations on voltage and current
harmonic content of voltage source converters. The distribution
systems have to supply unbalanced nonlinear loads transferring
                                                                          harmonics were carried out [13-16] to cancel low order
oscillations to the DC-side of the converter in a realistic               harmonics. But the harmonic output at PCC was not
operating condition. Thus, additional harmonics are modulated             discussed. Therefore, a strategy was proposed [17] for
through the STATCOM at the point of common coupling                       voltage balancing of distinct dc buses in cascaded H- bridge
(PCC). This requires more attention when switching angles are             rectifier. The method was used to ensure that the dc bus
calculated offline using the optimal PWM technique. This                  capacitor voltage converges to the reference value, even
paper, therefore, presents the artificial neural network model            when the loads attached to them extracts different power.
for defining the switching criterion of the VSC for the                   Both stepped and PWM methods were used to reduce the
STATCOM in order to reduce the total harmonic distortion
                                                                          current and voltage harmonics. In all such methods discussed
(THD) of the injected line current at the PCC. The model takes
into the account the dc capacitor effect, effects of other possible
                                                                          above, it is observed that the conventional methods can give
varying parameters such as voltage unbalance as well as                   good control capability over a wide range of operating
network harmonics. A reference is developed for offline                   conditions. But they need a mathematical model of the system
prediction and then implemented with the help of back                     to be controlled, which in most cases cannot be obtained
propagation technique.                                                    easily.
                                                                                    In the above context, this paper presents a VSC
Index Terms— STATCOM, voltage source converter, selective                 based STATCOM using ANN in which voltage regulation is
harmonic elimination, adaptive neural controller, total                   achieved, and the input voltage harmonics are minimized
harmonic distortion.                                                      by selective harmonic elimination technique (SHEM) to
                                                                          comply with IEEE Std. 519-1992 [18]. A brief introduction
                        I. INTRODUCTION                                   has been provided for the role of VSC for STATCOM
      The Static Synchronous Compensator (STATCOM) has                    applications and various PWM techniques to minimize
the capability of generating and /or absorbing reactive power             voltage and current harmonics of VSC. Section II contains
at a faster rate [1]. It can control the line voltage at the point        the inside view of the STATCOM followed by the
of common connection to the electric power network [2, 3].                introduction of SHEM. In section III the design of neuro
The 3-phase output voltage produced by the voltage source                 controller is explained. Finally, the validation and comparison
converter (VSC), which forms the power stage of                           of results is described in section IV, followed by conclusion
STATCOM, is nearly in phase with, and coupled to the                      in section V.
corresponding AC grid voltage through a relatively small
reactance [4-6]. In case of VSC, a capacitor bank is placed                           II.CONVENTIONAL STATCOM MODEL
into the DC link, which has the capabilities of harmonic                     The basic decoupled conventional control scheme of a
filtering and load balancing in addition to reactive power                STATCOM to be considered is shown in Fig. 1. The two PI
compensation. This leads to the generation of harmonic                    controllers, PIv and PIDC, are for regulating the line voltage
components superimposed on fundamental voltage                            at the point of common coupling (PCC) and the dc link
component at the AC side of VSC due to the turning on and                 voltage inside the device. The deviations in the line voltage
turning off, of the IGBT switches at frequencies much higher              ÄV and the dc link voltage ÄVdc are passed through these
than the supply frequency [7]. Many methods [8-12] such                   two decoupled PI controllers in order to determine the
as selective harmonic elimination, variable modulating                    inverter modulation index m a and the phase shift á,
                                                                          respectively.




© 2011 ACEEE                                                          1
DOI: 01.IJCSI.02.01.31
ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011


                                                                     Active and reactive power consumed by the STATCOM from
                                                                     the supply can be expressed as in (3) and (4) according to
                                                                     power sink convention.




A. Reactive Power Control
        Fig. 2 represents a simplified Single phase Y-
equivalent model of STATCOM.




                                                                        Modulation index (m) can be defined as in (9) for SPWM
Where                                                                or SHEM.
VS        : RMS line to neutral AC grid voltage
VC        : RMS line to neutral STATCOM fundamental
            voltage
Is        : RMS source fundamental current
IL        : RMS load fundamental current
IC        : RMS STATCOM fundamental Current
QS        : Source reactive power
QL        :
            Load reactive power
QC        : STATCOM reactive power
R         :Y- equivalent of total loss resistance including
          coupling transformer losses, input filter losses and
          converter losses
X         :Y-equivalent of total reactance including source
reactance, leakage reactance of coupling transformer, and
input filter reactance.
Fig.3 represents the phasor diagram for lossy systems.                         If STATCOM were a lossless system, Pc, and hence
                                                                     ä would be zero, while supplying constant Qc to constant
                                                                     Vs’ in the steady state. However, for a practical VSC
                                                                     STATCOM, system losses can be supplied by keeping ä at a
                                                                     very small value, while delivering or absorbing constant Qc
                                                                     in the steady state. Therefore, cosä can be approximated to
                                                                     unity for STATCOM operating at constant reactive power.
                                                                      In view of the above findings and (11), reactive power can
                                                                     be controlled by one of the following techniques:
                                                                        (i)       varying modulation index m, while keeping DC
                                                                                  link voltage Vd constant
   Equations (1) & (2) are obtained by resolving VR and VX             (ii)       varying Vd, while keeping m constant
along the real and imaginary axis.                                     (iii)      varying both m and Vd
                                                                                  The highly mathematical PWM method has two
                                                                     base terms modulation index and modulation ratio.
                                                                     Modulation index determines the output voltage fundamental
                                                                     component, while the modulation ratio determines the
                                                                     incident (location) of harmonic in the spectra.

                                                                 2
© 2011 ACEEE
DOI: 01.IJCSI.02.01.31
ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011

 B. Selective Harmonc Elimination                                      A. Block Representation of Neuro Controller
         Harmonic content of STATCOM line current ic in                        ANC maintains a population of possible neuro-
Fig.1 should comply with IEEE Std. 519-1992. This can be              controller solutions that serve as reinforcement learning
achieved by applying a proper PWM technique such as                   evaluations, similar to EVOP experiments [21]. The neuro-
SHEM. In this research work, since fixed dc link voltage              controller is evaluated individually over a number of sensor
and variable modulation index has been chosen, harmonic               sample periods while interacting with a dynamic process
content of line current and load voltage will be minimized            as in Fig. 5.
by SHEM technique. At the expense of coupled active and
reactive power control, and relatively slower transient
response, it is advantageous to apply SHEM to VSC topology.
A general 2 level 3 leg VSI is shown in Fig. 4.




                                                                                Initially, the process may be at an arbitrary operat-
                                                                      ing point (state, st). The neuro-controller observes the cur-
                                                                      rent process operating point at sample, t, and selects a con-
         The switching pattern of IGBT switches are defined           trol action, at. The control action changes the operating point
on the basis of the modulation index (m) and the phase shift          to st+1. A reward, rt, is assigned based on the economic
(á). The two patterns are then given to the VSC circuit via           value of this new operating point. The objective is to maxi-
PWM module which produces switching pattern of IGBTs                  mize the total reward over a series of control actions,
to produce a corresponding or desired 3 phase voltage                 while maintaining a specified control response. An opti-
waveform for STATCOM application.                                     mization algorithm adapts the neural network weights based
         The SHEM allows optimized PWM pattern, its                   the reward feedback from each evaluations. The above con-
implementation is much easy. The switching frequency of               troller can also be represented as shown in Fig. 6 while main-
power semiconductor, fs is directly related to the number of          taining the above explained generality.
harmonics to be eliminated [19], as given below.
    f s = (2 N + 1) f1                           (12)
           where f 1 is the grid frequency and hence the
fundamental frequency.
           The ic waveforms are found by Vc waveform arising
from SHEM, by simulating this circuit in MATLAB. This is
because in application where STATCOM, is going to be
utilized as VAr compensator, or terminal voltage regulator,
point of common coupling (PCC) should be taken as common
connection of STATCOM. Therefore, total harmonic
distortion (THD) values of STATCOM line current and
individual magnitude of harmonic components at PCC are
of the designer’s direct interest, and should comply with the
IEEE std. 519-1992.

                   III.NEURO CONTROLLER
   Neuro-controllers may originate from various sources.
Neural networks may be trained to mimic the control action                     The shown network can be trained for a given set
of existing VSC controllers, thereby distributing the inverter        of plant parameter data-base. The training will result in
functionality over several neurons. Neuro-controllers are also        optimum set of weights and bias, for a predefined number
developed utilizing evolutionary reinforcement learning               of neurons, selected for achieving the selected/ or the defined
techniques [20]. Neural networks are beneficial to an                 performance and the control criterion.
adaptive scheme, such as generalization and graceful
degradation. Neural network controllers are collections of                        IV.VALIDATION AND RESULT DISCUSSION
neurons, with each neuron specifying the weights from the                 The switching test circuitry used is shown in Fig. 4.
input layer (process states) to output layer (control actions).       The analysis is comparative in nature as the other circuitry
Neuro-controller parameters are the neural network weights.           is
© 2011 ACEEE                                                      3
DOI: 01.IJCSI.02.01.31
ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011

nearly the same except that the firing pulses for the VSC are
now generated by the adaptive neuro controller, which forms
the part of the feedback circuit that has its reference from
the conventional VSC circuitry (ref. fig. 5) and the 3 phase
voltage output is fed back to the ANN controller and then
the neuro controller generates the firing pulses for the VSC
(ref. fig 6).
   The comparison is made between the current and voltage
outputs at the load and at the PCC. The simulations are carried
in MatLab and the waveforms obtained are shown below.




              Figure 8.RMS fundamental load current




                                                                        From the simulation results, it is found that the neural
                                                                      network based VSC performs in a better way. In order to
                                                                      make it more clear, the results for the odd harmonics current
                                                                      components are given in Table 1.




                                                                               If individual harmonic magnitude and also their
                                                                      THD values are compared with the limit given in IEEE Std.
                                                                      519-1992, it can be concluded that SHEM technique is very
                                                                      successful in approximating the line current waveform of
                                                                      STATCOM to a pure sine wave. The same can be extended
                                                                      to the voltage waveforms also.

                                                                                             V.CONCLUSION
                                                                        The paper describes the design, implementation, and
                                                                      performance of an adaptive neural controller of a VSC based
                                                                      STATCOM. Voltage regulation is achieved by optimizing
                                                                      the modulation index and VSC harmonics are eliminated by


                                                                  4
© 2011 ACEEE
DOI: 01.IJCSI.02.01.31
ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011


SHEM technique. The proposed system complies with the                      [10] J.Y. Lee and Y.Y.Sun, “Adaptive harmonic control in PWM
IEEE std. 519-1992 The selective harmonic elimination                           inverters with fluctuating input voltage,” IEEE Transaction
technique applied to voltage source converter based static                      on Industrial Electronics, vol. 33, pp. 92-98, Feb. 1986.
synchronous compensator leads to reduction in switching                    [11] P. N.Enjeti, and W.Shireen, “A new technique to reject dc-
frequency, the same method can also be used for reactive                        link voltage ripple for inverters operating on programmed
                                                                                PWM waveform,” IEEE Transaction on Power Electronics,
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implementation.                                                            [12] Sirisukprasert Siriroj, Lai Jih- Sheng and Liu Tina-Hua,
                                                                                “Optimum harmonic reduction with a wide range of
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© 2011 ACEEE                                                           5
DOI: 01.IJCSI.02.01.31

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Design and Analysis of Adaptive Neural Controller for Voltage Source Converter for STATCOM

  • 1. ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011 Design and Analysis of Adaptive Neural Controller for Voltage Source Converter for STATCOM Aman Ganesh1, G.K.Singh2, and Ratna Dahiya3 1 Department of Electrical and Electronics Engineering, GRIMT Radaur, India 2 Department of Electrical Engineering, IIT Roorkee, India 3 Department of Electrical Engineering, NIT Kurukshetra, India Email: gksngfee@iitr.ernet.in, ratnadahiya@yahoo.co.in Abstract—Usually a STATCOM is installed to support power function based PWM and correcting optimized system networks that have a poor power factor and often poor PWMswitching patterns were implemented to obtain voltage regulation. It is based on a power electronics voltage- waveform with minimum harmonic content from VSC. The source converter. Various PWM techniques make selective effect and analysis of switching pattern, modulation index harmonic elimination possible, which effectively control the variation and load variations on voltage and current harmonic content of voltage source converters. The distribution systems have to supply unbalanced nonlinear loads transferring harmonics were carried out [13-16] to cancel low order oscillations to the DC-side of the converter in a realistic harmonics. But the harmonic output at PCC was not operating condition. Thus, additional harmonics are modulated discussed. Therefore, a strategy was proposed [17] for through the STATCOM at the point of common coupling voltage balancing of distinct dc buses in cascaded H- bridge (PCC). This requires more attention when switching angles are rectifier. The method was used to ensure that the dc bus calculated offline using the optimal PWM technique. This capacitor voltage converges to the reference value, even paper, therefore, presents the artificial neural network model when the loads attached to them extracts different power. for defining the switching criterion of the VSC for the Both stepped and PWM methods were used to reduce the STATCOM in order to reduce the total harmonic distortion current and voltage harmonics. In all such methods discussed (THD) of the injected line current at the PCC. The model takes into the account the dc capacitor effect, effects of other possible above, it is observed that the conventional methods can give varying parameters such as voltage unbalance as well as good control capability over a wide range of operating network harmonics. A reference is developed for offline conditions. But they need a mathematical model of the system prediction and then implemented with the help of back to be controlled, which in most cases cannot be obtained propagation technique. easily. In the above context, this paper presents a VSC Index Terms— STATCOM, voltage source converter, selective based STATCOM using ANN in which voltage regulation is harmonic elimination, adaptive neural controller, total achieved, and the input voltage harmonics are minimized harmonic distortion. by selective harmonic elimination technique (SHEM) to comply with IEEE Std. 519-1992 [18]. A brief introduction I. INTRODUCTION has been provided for the role of VSC for STATCOM The Static Synchronous Compensator (STATCOM) has applications and various PWM techniques to minimize the capability of generating and /or absorbing reactive power voltage and current harmonics of VSC. Section II contains at a faster rate [1]. It can control the line voltage at the point the inside view of the STATCOM followed by the of common connection to the electric power network [2, 3]. introduction of SHEM. In section III the design of neuro The 3-phase output voltage produced by the voltage source controller is explained. Finally, the validation and comparison converter (VSC), which forms the power stage of of results is described in section IV, followed by conclusion STATCOM, is nearly in phase with, and coupled to the in section V. corresponding AC grid voltage through a relatively small reactance [4-6]. In case of VSC, a capacitor bank is placed II.CONVENTIONAL STATCOM MODEL into the DC link, which has the capabilities of harmonic The basic decoupled conventional control scheme of a filtering and load balancing in addition to reactive power STATCOM to be considered is shown in Fig. 1. The two PI compensation. This leads to the generation of harmonic controllers, PIv and PIDC, are for regulating the line voltage components superimposed on fundamental voltage at the point of common coupling (PCC) and the dc link component at the AC side of VSC due to the turning on and voltage inside the device. The deviations in the line voltage turning off, of the IGBT switches at frequencies much higher ÄV and the dc link voltage ÄVdc are passed through these than the supply frequency [7]. Many methods [8-12] such two decoupled PI controllers in order to determine the as selective harmonic elimination, variable modulating inverter modulation index m a and the phase shift á, respectively. © 2011 ACEEE 1 DOI: 01.IJCSI.02.01.31
  • 2. ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011 Active and reactive power consumed by the STATCOM from the supply can be expressed as in (3) and (4) according to power sink convention. A. Reactive Power Control Fig. 2 represents a simplified Single phase Y- equivalent model of STATCOM. Modulation index (m) can be defined as in (9) for SPWM Where or SHEM. VS : RMS line to neutral AC grid voltage VC : RMS line to neutral STATCOM fundamental voltage Is : RMS source fundamental current IL : RMS load fundamental current IC : RMS STATCOM fundamental Current QS : Source reactive power QL : Load reactive power QC : STATCOM reactive power R :Y- equivalent of total loss resistance including coupling transformer losses, input filter losses and converter losses X :Y-equivalent of total reactance including source reactance, leakage reactance of coupling transformer, and input filter reactance. Fig.3 represents the phasor diagram for lossy systems. If STATCOM were a lossless system, Pc, and hence ä would be zero, while supplying constant Qc to constant Vs’ in the steady state. However, for a practical VSC STATCOM, system losses can be supplied by keeping ä at a very small value, while delivering or absorbing constant Qc in the steady state. Therefore, cosä can be approximated to unity for STATCOM operating at constant reactive power. In view of the above findings and (11), reactive power can be controlled by one of the following techniques: (i) varying modulation index m, while keeping DC link voltage Vd constant Equations (1) & (2) are obtained by resolving VR and VX (ii) varying Vd, while keeping m constant along the real and imaginary axis. (iii) varying both m and Vd The highly mathematical PWM method has two base terms modulation index and modulation ratio. Modulation index determines the output voltage fundamental component, while the modulation ratio determines the incident (location) of harmonic in the spectra. 2 © 2011 ACEEE DOI: 01.IJCSI.02.01.31
  • 3. ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011 B. Selective Harmonc Elimination A. Block Representation of Neuro Controller Harmonic content of STATCOM line current ic in ANC maintains a population of possible neuro- Fig.1 should comply with IEEE Std. 519-1992. This can be controller solutions that serve as reinforcement learning achieved by applying a proper PWM technique such as evaluations, similar to EVOP experiments [21]. The neuro- SHEM. In this research work, since fixed dc link voltage controller is evaluated individually over a number of sensor and variable modulation index has been chosen, harmonic sample periods while interacting with a dynamic process content of line current and load voltage will be minimized as in Fig. 5. by SHEM technique. At the expense of coupled active and reactive power control, and relatively slower transient response, it is advantageous to apply SHEM to VSC topology. A general 2 level 3 leg VSI is shown in Fig. 4. Initially, the process may be at an arbitrary operat- ing point (state, st). The neuro-controller observes the cur- rent process operating point at sample, t, and selects a con- The switching pattern of IGBT switches are defined trol action, at. The control action changes the operating point on the basis of the modulation index (m) and the phase shift to st+1. A reward, rt, is assigned based on the economic (á). The two patterns are then given to the VSC circuit via value of this new operating point. The objective is to maxi- PWM module which produces switching pattern of IGBTs mize the total reward over a series of control actions, to produce a corresponding or desired 3 phase voltage while maintaining a specified control response. An opti- waveform for STATCOM application. mization algorithm adapts the neural network weights based The SHEM allows optimized PWM pattern, its the reward feedback from each evaluations. The above con- implementation is much easy. The switching frequency of troller can also be represented as shown in Fig. 6 while main- power semiconductor, fs is directly related to the number of taining the above explained generality. harmonics to be eliminated [19], as given below. f s = (2 N + 1) f1 (12) where f 1 is the grid frequency and hence the fundamental frequency. The ic waveforms are found by Vc waveform arising from SHEM, by simulating this circuit in MATLAB. This is because in application where STATCOM, is going to be utilized as VAr compensator, or terminal voltage regulator, point of common coupling (PCC) should be taken as common connection of STATCOM. Therefore, total harmonic distortion (THD) values of STATCOM line current and individual magnitude of harmonic components at PCC are of the designer’s direct interest, and should comply with the IEEE std. 519-1992. III.NEURO CONTROLLER Neuro-controllers may originate from various sources. Neural networks may be trained to mimic the control action The shown network can be trained for a given set of existing VSC controllers, thereby distributing the inverter of plant parameter data-base. The training will result in functionality over several neurons. Neuro-controllers are also optimum set of weights and bias, for a predefined number developed utilizing evolutionary reinforcement learning of neurons, selected for achieving the selected/ or the defined techniques [20]. Neural networks are beneficial to an performance and the control criterion. adaptive scheme, such as generalization and graceful degradation. Neural network controllers are collections of IV.VALIDATION AND RESULT DISCUSSION neurons, with each neuron specifying the weights from the The switching test circuitry used is shown in Fig. 4. input layer (process states) to output layer (control actions). The analysis is comparative in nature as the other circuitry Neuro-controller parameters are the neural network weights. is © 2011 ACEEE 3 DOI: 01.IJCSI.02.01.31
  • 4. ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011 nearly the same except that the firing pulses for the VSC are now generated by the adaptive neuro controller, which forms the part of the feedback circuit that has its reference from the conventional VSC circuitry (ref. fig. 5) and the 3 phase voltage output is fed back to the ANN controller and then the neuro controller generates the firing pulses for the VSC (ref. fig 6). The comparison is made between the current and voltage outputs at the load and at the PCC. The simulations are carried in MatLab and the waveforms obtained are shown below. Figure 8.RMS fundamental load current From the simulation results, it is found that the neural network based VSC performs in a better way. In order to make it more clear, the results for the odd harmonics current components are given in Table 1. If individual harmonic magnitude and also their THD values are compared with the limit given in IEEE Std. 519-1992, it can be concluded that SHEM technique is very successful in approximating the line current waveform of STATCOM to a pure sine wave. The same can be extended to the voltage waveforms also. V.CONCLUSION The paper describes the design, implementation, and performance of an adaptive neural controller of a VSC based STATCOM. Voltage regulation is achieved by optimizing the modulation index and VSC harmonics are eliminated by 4 © 2011 ACEEE DOI: 01.IJCSI.02.01.31
  • 5. ACEEE Int. J. on Control System and Instrumentation, Vol. 02, No. 01, Feb 2011 SHEM technique. The proposed system complies with the [10] J.Y. Lee and Y.Y.Sun, “Adaptive harmonic control in PWM IEEE std. 519-1992 The selective harmonic elimination inverters with fluctuating input voltage,” IEEE Transaction technique applied to voltage source converter based static on Industrial Electronics, vol. 33, pp. 92-98, Feb. 1986. synchronous compensator leads to reduction in switching [11] P. N.Enjeti, and W.Shireen, “A new technique to reject dc- frequency, the same method can also be used for reactive link voltage ripple for inverters operating on programmed PWM waveform,” IEEE Transaction on Power Electronics, power control with slight modification in design and vol. 7, pp. 171-180, Jan. 1992. implementation. [12] Sirisukprasert Siriroj, Lai Jih- Sheng and Liu Tina-Hua, “Optimum harmonic reduction with a wide range of REFERENCES modulation indexes for multilevel converters,” IEEE Transaction on Industrial Electronics, vol. 49, no.4, pp. 2094- [1] J. Dixon, L. Moran, J. Pontt, “Reactive power compensation 2099, 2000. techniques”, Proc. IEEE, vol. 93, no 12, pp. 2144-2164, [13] Soto Diego and Pena Ruben, “Nonlinear control strategies December 2005. for cascaded multilevel STATCOMs,” IEEE Transaction on [2] G. Ree, J. Paserba., “SDG&E Talega STATCOM project Power Delivery, vol. 19, no. 4, pp. 1919-1927, Oct. 2004. system analysis, design, and configuration”, IEEE/PES, [14] Filizadeh Shaahin and A. M.Gol, “Harmonic performance Transmission and Distribution Conf. and Exhibition, vol.2, analysis of an OPWM-Controlled STATCOM in network pp 1393-1398, October 2002. applications,” IEEE Transaction on Power Delivery, vol. 20, [3] C.Schauder, M. Gernhardt, et. al.., “Development of a ± 100 no. 2, pp. 1001-1008, April 2005. MVA static condenser for voltage control of transmission [15] Chen Ben-Sheng and Hsu Yuan-Yih, “An analytical approach systems”, IEEE Transaction on Power Delivery, vol.10, no. to harmonic analysis and controller design of a STATCOM,” 3, pp. 1486-1496, October 2002. IEEE Transaction on Power Delivery, vol. 22, no. 1 pp.423- [4] H. F. Biligin, M. Ermis, “Reactive power compensation of 432, Jan.2007. coal mining excavators by using a new generation [16] Song Qiang, Liu Wenhua and Yuan Zhichang, “Multilevel STATCOM”, IEEE Transaction on Industrial Application, vol. optimal modulation & dynamic control strategies for 43, no 1, pp. 97-110, January 2007. STATCOMs using cascade multilevel inverters,” IEEE [5] Cetin, “Design and implementation of a voltage source Transaction on Power Delivery, vol. 22, no.3 pp.1937-1946, converter based STATCOM for reactive power compensation July 2007. and harmonic filtering”, Ph.D dissertation, Graduate School [17] Eini Hossein Iman, Schanen Jean-Luc, Farhangi Shahrokh of Natural and Applied Sciences, METU, Ankara, Tukey, and Roudet James, “A modular strategy for control and voltage 2007. balancing of cascaded H-Bridge rectifiers,” IEEE Transaction [6] L.T. Moran, P.D. Ziogas, G. Joos, “ Analysis and design of a on Power Electronics, vol. 23, no. 5, pp. 2428-2442, Sept. three phase synchronous solid state VAr compensator”, IEEE 2008. Transaction on Industrial Application, vol. 25, no 4, pp. 598- [18] IEEE Recommended Practices & Requirement for Harmonic 608,1989. control in Electrical Power Systems, IEEE 519-1992, 1993. [7] A.L. Julian, G. Oriti, T.A. Lipo, “Elimination of common mode [19] P. Enjeti, P.D. Ziogas, J.F. Lindsay, “Programmed PWM voltage in three phase sinusoidal power converters”, IEEE technique to eliminate harmonics: A Critical Evaluation”, Transaction on Power Electronics, vol. 14, no 5, pp. 982- IEEE Transaction on Industrial Application, vol.26, no. 2, 989,1999. pp. 302-316, 1990. [8] Ran L., L Holdsworth., and G.A.Purtus, “Dynamic selective [20] C.H. S’equim and R.D. Clay, “Fault tolerance in artificial harmonic elimination of a three-level inverter used for static neural networks”. International Joint Conference on Neural VAr compensation,” Proc. Inst. Elect. Eng., Gen., Trans., Dist., Networks (San. Diego), vol 1, pp. 703-708, 1990. vol. 149, pp. 83-89, Jan. 2002. [9] D. W. Sandells and T. C.Green, “Firing angle optimization [21] L. P. Kaelbling, M.L. Littman and A.W. Moore, for chain cell converters,” in Proc. 32nd IEEE Annual Power “Reinforcement Learning: A survey”, Journal of Electronics Specialists Conference, pp. 1549-1554. June 2001 Artificial Intelligence Research, vol. 4, pp.237-285, 1996. © 2011 ACEEE 5 DOI: 01.IJCSI.02.01.31